diff --git a/CMakeLists.txt b/CMakeLists.txt
index 8de9eebb806708faa38e989b1059a4c8744066e2..57b93a56b35f80de29700d6e2c8ee241a83dd947 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -13,24 +13,15 @@ macro(set_config_option STRING VARNAME)
message(STATUS "Found " ${STRING})
endmacro()
+set(CMAKE_CXX_STANDARD 17)
+
include(CheckCXXCompilerFlag)
-check_cxx_compiler_flag("-std=c++14" HAVE_CXX14)
-if(HAVE_CXX14)
- set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -std=c++14")
-else()
- message(ERROR "The compiler ${CMAKE_CXX_COMPILER} has no C++14 support. Please use a different C++ compiler.")
-endif()
check_cxx_compiler_flag("-Wall" HAVE_WALL)
if(HAVE_WALL)
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Wall")
endif()
-check_cxx_compiler_flag("-O3" HAVE_O3)
-if(HAVE_O3)
- set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -O3")
-endif()
-
####
# Mandatory libs
####
@@ -238,10 +229,12 @@ target_link_libraries( synthetics fwi ${EXTRA_LIBS})
#target_link_libraries( time_synthetics_wave fwi ${EXTRA_LIBS})
add_executable( directional directional.cpp ${EXTRA_INCS})
target_link_libraries( directional fwi ${EXTRA_LIBS})
+add_executable( directional_field directional_field.cpp ${EXTRA_INCS})
+target_link_libraries( directional_field fwi ${EXTRA_LIBS})
add_executable( gradient gradient.cpp ${EXTRA_INCS})
target_link_libraries( gradient fwi ${EXTRA_LIBS})
-add_executable( convergence convergence.cpp ${EXTRA_INCS})
-target_link_libraries( convergence fwi ${EXTRA_LIBS})
+#add_executable( convergence convergence.cpp ${EXTRA_INCS})
+#target_link_libraries( convergence fwi ${EXTRA_LIBS})
#add_executable( preconditioner preconditioner.cpp ${EXTRA_INCS})
#target_link_libraries( preconditioner fwi ${EXTRA_LIBS})
add_executable( ip_comparison ip_comparison.cpp ${EXTRA_INCS})
diff --git a/IMPROVEMENTS.txt b/IMPROVEMENTS.txt
index 381d515dbd82e379e81270483299fe7178313e53..289724bd44bbe9572a6f972417698e9308dc085c 100644
--- a/IMPROVEMENTS.txt
+++ b/IMPROVEMENTS.txt
@@ -4,5 +4,6 @@
*Remove frequency dependent parameters (ou pas ?)
*Optimization part should be in real arithmetic
+*statefunctional should not include regularization. Instead a regularization functional should be created (using RegularizationInterface and SensitivityUpdaterFromRegularization). Then a multiobjectivefunctional should be created (using a ModelUpdaterFromFunctional which does not memorize m and dm)
-*Retirer la possibilité d'optimiser pour des parametre qui dépendent de la fréquence
+*directional.cpp should use ModelFunctionSweeper. Similarly to directional_field.cpp.
diff --git a/common/data/element.cpp b/common/data/element.cpp
index a69a52974e3bb6be28d59f73f71db7a07e8ac404..3f281fc92c0f2206206804b78f605e992581f5ee 100644
--- a/common/data/element.cpp
+++ b/common/data/element.cpp
@@ -35,7 +35,7 @@ Data<T_Physic>::Data(const std::vector< double >& freq, const ConfigurationInter
unsigned int nf = _freq.size();
if ( nf==0 )
{
- throw Exception("Creating empty Data (nf=0) is forbidden.");
+ msg::warning << "An empty data (nf=0) is created." << msg::endl;
}
unsigned int ns = _config->ns();
_value.resize(nf);
@@ -266,6 +266,42 @@ Data<T_Physic> Data<T_Physic>::operator-(const Data<T_Physic>& other) const
return sub;
}
+template<Physic T_Physic>
+Data<T_Physic> Data<T_Physic>::operator*(const Data<T_Physic>& other) const
+{
+ areCompatible(*this,other);
+ Data<T_Physic> out(*this);
+ for (unsigned int f = 0; f < nf(); f++)
+ {
+ for (unsigned int s = 0; s < ns(); s++)
+ {
+ for (unsigned int r = 0; r < nr(s); r++)
+ {
+ out.value(f,s,r, wise_multiply<T_Physic>(this->value(f,s,r),other.value(f,s,r)) );
+ }
+ }
+ }
+ return out;
+}
+
+template<Physic T_Physic>
+Data<T_Physic> Data<T_Physic>::operator/(const Data<T_Physic>& other) const
+{
+ areCompatible(*this,other);
+ Data<T_Physic> out(*this);
+ for (unsigned int f = 0; f < nf(); f++)
+ {
+ for (unsigned int s = 0; s < ns(); s++)
+ {
+ for (unsigned int r = 0; r < nr(s); r++)
+ {
+ out.value(f,s,r, wise_divide<T_Physic>(this->value(f,s,r),other.value(f,s,r)) );
+ }
+ }
+ }
+ return out;
+}
+
template<Physic T_Physic>
Data<T_Physic> Data<T_Physic>::operator*(std::complex<double> a) const
{
diff --git a/common/data/element.h b/common/data/element.h
index cd3667f693900cb4fe737e5dac5592fcb4ce8f18..d200c18c42b8b31107877d8f86ff0d3aaa3a902f 100644
--- a/common/data/element.h
+++ b/common/data/element.h
@@ -43,6 +43,8 @@ public:
void operator=(const Data<T_Physic>& other);
Data<T_Physic> operator+(const Data<T_Physic>& other)const;
Data<T_Physic> operator-(const Data<T_Physic>& other)const;
+ Data<T_Physic> operator*(const Data<T_Physic>& other)const;
+ Data<T_Physic> operator/(const Data<T_Physic>& other)const;
Data<T_Physic> operator*(std::complex<double> a)const;
Data<T_Physic> operator/(std::complex<double> a)const;
private:
@@ -132,18 +134,52 @@ Data<T_Physic> conj(const Data<T_Physic>& d)
template<Physic T_Physic>
Data<T_Physic> abs(const Data<T_Physic>& d)
{
- Data<T_Physic> abs(d);
+ Data<T_Physic> out(d);
for (unsigned int f = 0; f < d.nf(); f++)
{
for (unsigned int s = 0; s < d.ns(); s++)
{
for (unsigned int r = 0; r < d.nr(s); r++)
{
- abs.value(f,s,r, std::complex<double>(std::abs(d.value(f,s,r)) ) );
+ out.value(f,s,r, abs<T_Physic>(d.value(f,s,r)) );
}
}
}
- return abs;
+ return out;
+};
+
+template<Physic T_Physic>
+Data<T_Physic> real(const Data<T_Physic>& d)
+{
+ Data<T_Physic> out(d);
+ for (unsigned int f = 0; f < d.nf(); f++)
+ {
+ for (unsigned int s = 0; s < d.ns(); s++)
+ {
+ for (unsigned int r = 0; r < d.nr(s); r++)
+ {
+ out.value(f,s,r, real<T_Physic>(d.value(f,s,r)) );
+ }
+ }
+ }
+ return out;
+};
+
+template<Physic T_Physic>
+Data<T_Physic> arg(const Data<T_Physic>& d)
+{
+ Data<T_Physic> out(d);
+ for (unsigned int f = 0; f < d.nf(); f++)
+ {
+ for (unsigned int s = 0; s < d.ns(); s++)
+ {
+ for (unsigned int r = 0; r < d.nr(s); r++)
+ {
+ out.value(f,s,r, arg<T_Physic>(d.value(f,s,r)) );
+ }
+ }
+ }
+ return out;
};
#endif // H_COMMON_DATA_ELEMENT
diff --git a/common/functional.h b/common/functional.h
index e0da9cba0a09fbfd9e903b11c2fc4994417bb38a..cbdcfe0745627c30d1c7b05b14de9bd66c3f4b08 100644
--- a/common/functional.h
+++ b/common/functional.h
@@ -7,11 +7,14 @@
class FunctionalInterface
{
+protected:
+ unsigned int _iteration;
public:
virtual ~FunctionalInterface() = default;
virtual const InnerProductInterface* const innerproduct() const = 0;
+ virtual void iteration(unsigned int iteration){_iteration=iteration;};
virtual void setModel(const ModelField& m) = 0;
virtual void setModel(const ModelFunction& m) = 0;
virtual void setModelPerturbation(const ModelField& dm) = 0;
diff --git a/common/model/discretization.h b/common/model/discretization.h
index 697dcfc8197f006422dd9712b56950d1cdcf46db..0492513e5f781433469947fde494bcde66318de1 100644
--- a/common/model/discretization.h
+++ b/common/model/discretization.h
@@ -5,7 +5,7 @@
#include <string>
//GmshFem library
#include "GmshFem.h"
-#include "FunctionSpaceForm0.h"
+#include "FunctionSpace.h"
#include "Message.h"
namespace model
diff --git a/common/model/innerproduct/innerproduct.h b/common/model/innerproduct/innerproduct.h
index 48e687244ac94997515f0ea76808843f10dfdba2..186c1355cf2a068e0b710b7eb79ac6173bbd2002 100644
--- a/common/model/innerproduct/innerproduct.h
+++ b/common/model/innerproduct/innerproduct.h
@@ -21,6 +21,7 @@ class InnerProductInterface
{
protected:
const ConfigurationInterface* const _config;
+ unsigned int _iteration;
public:
InnerProductInterface(const ConfigurationInterface* const config): _config(config) {};
virtual ~InnerProductInterface() = default;
@@ -30,10 +31,12 @@ public:
virtual const ModelField& update(const Sensitivity& bulk_sensi, const Sensitivity& boundary_sensi) = 0;
virtual std::complex<double> product(const ModelField& m1, const ModelField& m2) const = 0;
+ virtual std::complex<double> penalization(const ModelField& m1,const ModelField& m2) const {return product(m1,m2);};
virtual void modelIsObsolete() {};
virtual void scale(double scale) {};
+ virtual bool iteration(double iteration) {_iteration=iteration;return false;}; //return: is obsolete at iteration ?
};
/*
diff --git a/common/model/regularization/regularization.cpp b/common/model/regularization/regularization.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..aa07be13fd06ee29ee48e543b560c1798c141a6f
--- /dev/null
+++ b/common/model/regularization/regularization.cpp
@@ -0,0 +1,143 @@
+//GmshFEM Library
+
+//GmshFWI Library
+#include "regularization.h"
+
+using namespace gmshfem;
+using namespace gmshfem::common;
+using namespace gmshfem::post;
+using namespace gmshfem::equation;
+
+/*
+* RegularizationInterface
+*/
+RegularizationInterface::RegularizationInterface(const ConfigurationInterface* const config, const gmshfem::common::GmshFem& gmshFem, std::string suffix) : _config(config), _m_size(_config->model_size()), _lambda(_m_size,0.)
+{
+ if(!gmshFem.userDefinedParameter(_integrationType, "integration_type"))
+ {
+ throw Exception("Integration type could not be found.");
+ }
+ if(!(
+ gmshFem.userDefinedParameter(_integrationDegreeBlk, "regularization_integration_degree_blk")
+ ||
+ gmshFem.userDefinedParameter(_integrationDegreeBlk, "regularization_integration_degree_blk"+suffix)
+ ))
+ {
+ throw Exception("Regularization integration degree (bulk) could not be found.");
+ }
+ if(!(
+ gmshFem.userDefinedParameter(_integrationDegreeBnd, "regularization_integration_degree_bnd")
+ ||
+ gmshFem.userDefinedParameter(_integrationDegreeBnd, "regularization_integration_degree_bnd"+suffix)
+ ))
+ {
+ throw Exception("Regularization integration degree (boundary) could not be found.");
+ }
+ for (unsigned int c = 0; c < _m_size; c++)
+ {
+ std::string suffix1 = "c"+std::to_string(c);
+ std::string root = "regularization_lambda";
+ if(!(
+ gmshFem.userDefinedParameter(_lambda[c], root) ||
+ gmshFem.userDefinedParameter(_lambda[c], root+suffix)
+ ||
+ gmshFem.userDefinedParameter(_lambda[c], root+suffix1) ||
+ gmshFem.userDefinedParameter(_lambda[c], root+suffix1+suffix)
+ ))
+ {
+ throw Exception("Regularization strength could not be found.");
+ }
+ }
+};
+
+std::complex<double> RegularizationInterface::directional(const Sensitivity& sensitivity, const ModelFunction& dm2, Support support) const
+{
+ compatible_model(sensitivity,dm2);
+ unsigned int N = sensitivity.size();
+ std::complex<double> sum = 0.;
+ std::string integration;
+ switch (support)
+ {
+ case Support::BLK: integration = integrationType(_integrationDegreeBlk); break;
+ case Support::BND: integration = integrationType(_integrationDegreeBnd); break;
+ }
+ for (unsigned int c = 0; c < N; c++)
+ {
+ sum += integrate( sensitivity[c] * dm2[c], _config->model_unknown(support), integration );
+ }
+ return sum;
+}
+
+void RegularizationInterface::lambda(double lambda,unsigned int c)
+{
+ if(c<_m_size) {_lambda[c]=lambda;}
+ else
+ {
+ throw Exception("Component c"+std::to_string(c)+" does not exsit.");
+ }
+}
+
+/*
+* DifferentialRegularizationInterface
+*/
+DifferentialRegularizationInterface::DifferentialRegularizationInterface(const ConfigurationInterface* const config, const gmshfem::common::GmshFem& gmshFem, std::string suffix) : RegularizationInterface(config, gmshFem, suffix),_systemAreUpToDate(false), _systemAreFactorized(false)
+{
+ for (unsigned int c = 0; c < _m_size; c++)
+ {
+ _formulation.emplace_back("model_formulation_component"+std::to_string(c));
+ }
+};
+
+DifferentialRegularizationInterface::DifferentialRegularizationInterface(const ConfigurationInterface* const config, const ModelField& m, const gmshfem::common::GmshFem& gmshFem, std::string suffix) : DifferentialRegularizationInterface(config, gmshFem, suffix)
+{
+ _k = m;
+}
+
+Sensitivity DifferentialRegularizationInterface::update_sensitivity(Order order, Support support, const ModelState& ms)
+{
+ if(!_systemAreUpToDate)
+ {
+ for (unsigned int c = 0; c < _m_size; c++)
+ {
+ _formulation[c].removeSystem();
+ _formulation[c].initSystem();
+ _systemAreFactorized=false;
+ }
+
+ setLHS();
+
+ for (unsigned int c = 0; c < _m_size; c++)
+ {
+ _formulation[c].pre();
+ _formulation[c].assemble();
+ _formulation[c].removeTerms();
+ _systemAreUpToDate=true;
+ }
+ }
+
+ setRHS(order,support,ms);
+
+ for (unsigned int c = 0; c < _m_size; c++)
+ {
+ _formulation[c].assemble();
+ _formulation[c].removeTerms();
+
+ _formulation[c].solve(_systemAreFactorized);
+ _formulation[c].setRHSToZero();
+ }
+ _systemAreFactorized=true;
+
+ _j[order][support] = _k;
+ _k.setValuesToZero();
+
+ return _j[order][support];
+}
+
+void DifferentialRegularizationInterface::setLHS()
+{
+ for (unsigned int c = 0; c < _m_size; c++)
+ {
+ unsigned int degree = _k[c].degree();
+ _formulation[c].integral(dof(_k[c]), tf(_k[c]), _config->model_unknown(Support::BLK), integrationType(2*degree));
+ }
+}
diff --git a/common/model/regularization/regularization.h b/common/model/regularization/regularization.h
new file mode 100644
index 0000000000000000000000000000000000000000..fa31a9c257a5a6c5ec19369fa3234e6368e0b95e
--- /dev/null
+++ b/common/model/regularization/regularization.h
@@ -0,0 +1,64 @@
+#ifndef H_COMMON_MODEL_REGULARIZATION
+#define H_COMMON_MODEL_REGULARIZATION
+
+//GmshFEM Library
+#include "Formulation.h"
+
+//GmshFWI Library
+#include "../state.h"
+#include "../../configuration.h"
+
+/*
+* RegularizationInterface
+*/
+class RegularizationInterface
+{
+protected:
+ const ConfigurationInterface* const _config;
+ const unsigned int _m_size;
+ std::vector<double> _lambda;
+ std::string _integrationType;
+ unsigned int _integrationDegreeBlk;
+ unsigned int _integrationDegreeBnd;
+ std::string integrationType(unsigned int degree) const {return _integrationType + std::to_string(degree);};
+
+public:
+ RegularizationInterface(const ConfigurationInterface* const config, const gmshfem::common::GmshFem& gmshFem, std::string suffix = "");
+ virtual ~RegularizationInterface() = default;
+
+ virtual double performance(const ModelField& m) = 0;
+
+ virtual Sensitivity update_sensitivity(Order order, Support support, const ModelState& ms) = 0;
+ std::complex<double> directional(const Sensitivity& sensitivity, const ModelFunction& dm2, Support support) const;
+
+ virtual void modelIsObsolete() {};
+ virtual void modelPerturbationIsObsolete() {};
+
+ void lambda(double lambda,unsigned int c=0);
+};
+
+/*
+* DifferentialRegularizationInterface
+*/
+class DifferentialRegularizationInterface: public RegularizationInterface
+{
+protected:
+ ModelField _k;
+ std::array<std::array<ModelField,2>,3> _j;
+
+ std::vector<gmshfem::problem::Formulation< std::complex< double > >> _formulation;
+
+ bool _systemAreUpToDate;
+ bool _systemAreFactorized;
+private:
+ DifferentialRegularizationInterface(const ConfigurationInterface* const config, const gmshfem::common::GmshFem& gmshFem, std::string suffix = "");
+public:
+ DifferentialRegularizationInterface(const ConfigurationInterface* const config, const ModelField& m, const gmshfem::common::GmshFem& gmshFem, std::string suffix = "" );
+
+ virtual Sensitivity update_sensitivity(Order order, Support support, const ModelState& ms);
+
+ virtual void setLHS();
+ virtual void setRHS(Order order, Support support, const ModelState& ms) = 0;
+};
+
+#endif //H_COMMON_MODEL_REGULARIZATION
diff --git a/common/model/state.cpp b/common/model/state.cpp
index dab62ec1108ac6e521ecec44ad09f47667084f80..e2cb8e6727e095a6b1a8bb63c31ea3b2ee7388da 100644
--- a/common/model/state.cpp
+++ b/common/model/state.cpp
@@ -47,7 +47,8 @@ void ModelState::write(Type type, std::string name) const
}
}
-bool ModelState::available(Type type) const
+bool ModelState::available(Type type, bool field) const
{
- return _isUpToDate[type];
+ if(field){return _isUpToDate[type] && _useField[type];}
+ else{return _isUpToDate[type];}
}
diff --git a/common/model/state.h b/common/model/state.h
index 92bc5a4b498fc4202c3aae5d78076ed9e52f5766..834f237ad755237d01090abfc6fbd261daff24e6 100644
--- a/common/model/state.h
+++ b/common/model/state.h
@@ -50,7 +50,8 @@ public:
virtual const ModelFunction& state(Type type) const;
virtual void write(Type type, std::string name) const;
- virtual bool available(Type type) const;
+ virtual bool available(Type type) const {return available(type,false);}
+ bool available(Type type, bool field) const;
const ModelField& field(Type type) const;
diff --git a/common/model/sweeper.cpp b/common/model/sweeper.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..e9c53516b896e9785e64268a345f47fb84e2ac6d
--- /dev/null
+++ b/common/model/sweeper.cpp
@@ -0,0 +1,23 @@
+//gmshFWI Library
+#include "sweeper.h"
+
+using namespace gmshfem::common;
+//using namespace gmshfem::problem;
+using namespace gmshfem::equation;
+/*
+* class ModelFieldSweeperInterface
+*/
+ModelFieldSweeperInterface::ModelFieldSweeperInterface(std::string name, const ConfigurationInterface* const config, const model::Discretization& m_discret, const gmshfem::common::GmshFem& gmshFem) : _config(config), _m_discret(m_discret), _formulation("sweeper_"+name+"_formulation"), _k(config->model_size(),ModelMonoField("m",config->model_evaldomain(), config->model_gmodel(),m_discret))
+{
+ if(!gmshFem.userDefinedParameter(_integrationType, "integration_type"))
+ {
+ throw Exception("Sweeper integration type could not be found");
+ }
+ _formulation.initSystem();
+ _formulation.integral(dof(_k[0]), tf(_k[0]),_config->model_unknown(Support::BLK), _integrationType+std::to_string(2*_k[0].degree()));
+ _formulation.pre();
+ _formulation.assemble();
+ _formulation.removeTerms();
+ _formulation.solve(false);
+ _k.setValuesToZero();
+}
diff --git a/common/model/sweeper.h b/common/model/sweeper.h
index 12e31be51fd2e95861ab5f6159f28cb88d82d40d..00ebb10b27aec11ecdb8c531e171bd0a47cc4d46 100644
--- a/common/model/sweeper.h
+++ b/common/model/sweeper.h
@@ -1,8 +1,12 @@
#ifndef H_COMMON_MODEL_SWEEPER
#define H_COMMON_MODEL_SWEEPER
+//gmshFEM Library
+#include "Formulation.h"
+
//gmshFWI Library
#include "element.h"
+#include "../configuration.h"
/*
* class ModelFunctionSweeperInterface
@@ -14,4 +18,23 @@ public:
virtual ModelFunction operator()(unsigned int index1, unsigned int index2) const = 0;
};
+/*
+* class ModelFieldSweeperInterface
+*/
+class ModelFieldSweeperInterface
+{
+protected:
+ const ConfigurationInterface* const _config;
+ const model::Discretization _m_discret;
+ mutable gmshfem::problem::Formulation< std::complex< double > > _formulation;
+ mutable ModelField _k;
+ std::string _integrationType;
+public:
+ ModelFieldSweeperInterface(std::string name, const ConfigurationInterface* const config, const model::Discretization& m_discret, const gmshfem::common::GmshFem& gmshFem);
+ virtual ~ModelFieldSweeperInterface() = default;
+ virtual ModelField operator()(unsigned int index1, unsigned int index2) const = 0;
+ virtual std::array<double,2> value(unsigned int index1, unsigned int index2) const = 0;
+ virtual std::array<unsigned int,2> max_idx() const = 0;
+};
+
#endif // H_COMMON_MODEL_SWEEPER
diff --git a/common/sensitivity/updater.cpp b/common/sensitivity/updater.cpp
index 1272e19548f64d4e8291df9503c84bd004d7ee84..4c4997bc9f10c103a5e1fb1ab808e763a69db59c 100644
--- a/common/sensitivity/updater.cpp
+++ b/common/sensitivity/updater.cpp
@@ -11,13 +11,13 @@ using namespace gmshfem::common;
/*
* SensitivityUpdater
*/
-const Sensitivity& SensitivityUpdater::get(Order order, Support support,const ModelStateEvaluator& ms)
+const Sensitivity& SensitivityUpdater::get(Order order, Support support,const ModelState& ms)
{
update(order,support,ms);
return _ss.state(order,support);
}
-void SensitivityUpdater::update(Order order, Support support, const ModelStateEvaluator& ms)
+void SensitivityUpdater::update(Order order, Support support, const ModelState& ms)
{
if(_ss._isUpToDate[order][support]){return;}
@@ -41,7 +41,7 @@ void SensitivityUpdater::isObsolete(std::array<bool,3> NoMoreUpToDate)
* SensitivityUpdaterFromEquation
*/
template<Physic T_Physic>
-Sensitivity SensitivityUpdaterFromEquation<T_Physic>::sensitivity(Order order, Support support, const ModelStateEvaluator& ms)
+Sensitivity SensitivityUpdaterFromEquation<T_Physic>::sensitivity(Order order, Support support, const ModelState& ms)
{
std::array<bool,4> waveNeedToBeUpToDate = {false,false,false,false};
std::array<bool,5> dataNeedToBeUpToDate = {false,false,false,false,false};
@@ -61,15 +61,23 @@ Sensitivity SensitivityUpdaterFromEquation<T_Physic>::sensitivity(Order order, S
return _equation->update_sensitivity(order,support,_du->get(dataNeedToBeUpToDate,ms),ms,_wu->get(waveNeedToBeUpToDate,ms));
}
+/*
+* SensitivityUpdaterFromRegularization
+*/
+Sensitivity SensitivityUpdaterFromRegularization::sensitivity(Order order, Support support, const ModelState& ms)
+{
+ return _regularization->update_sensitivity(order,support,ms);
+}
+
/*
* SensitivityUpdaterFromVector
*/
-Sensitivity SensitivityUpdaterFromVector::sensitivity(Order order, Support support, const ModelStateEvaluator& ms)
+Sensitivity SensitivityUpdaterFromVector::sensitivity(Order order, Support support, const ModelState& ms)
{
- Sensitivity sum = _sue[0]->get(order,support,ms);
- for (unsigned int f = 1; f < _nf; f++)
+ Sensitivity sum = _suv[0]->get(order,support,ms);
+ for (unsigned int i = 1; i < _ns; i++)
{
- sum = sum + _sue[f]->get(order,support,ms);
+ sum = sum + _suv[i]->get(order,support,ms);
}
return sum;
}
diff --git a/common/sensitivity/updater.h b/common/sensitivity/updater.h
index 7912291cc0a3eaa880b496ecd5aabc117dd1bb2f..50dca7b082cc44ab74b6542c03d592a3cd4e1c4e 100644
--- a/common/sensitivity/updater.h
+++ b/common/sensitivity/updater.h
@@ -5,6 +5,7 @@
#include "state.h"
#include "../../specific/physic.h"
#include "../wave/equation/equation.h"
+#include "../model/regularization/regularization.h"
#include "../wave/updater.h"
#include "../data/updater.h"
@@ -15,12 +16,12 @@ class SensitivityUpdater
{
private:
SensitivityState _ss;
- void update(Order order, Support support, const ModelStateEvaluator& ms);
- virtual Sensitivity sensitivity(Order order, Support support, const ModelStateEvaluator& ms) = 0;
+ void update(Order order, Support support, const ModelState& ms);
+ virtual Sensitivity sensitivity(Order order, Support support, const ModelState& ms) = 0;
public:
virtual ~SensitivityUpdater() = default;
- const Sensitivity& get(Order order, Support support,const ModelStateEvaluator& ms);
+ const Sensitivity& get(Order order, Support support,const ModelState& ms);
void isObsolete(std::array<bool,3> NoMoreUpToDate);
};
@@ -37,7 +38,20 @@ private:
DataUpdater<T_Physic>* const _du;
EquationInterface<T_Physic>* const _equation;
- virtual Sensitivity sensitivity(Order order, Support support, const ModelStateEvaluator& ms);
+ virtual Sensitivity sensitivity(Order order, Support support, const ModelState& ms);
+};
+
+/*
+* SensitivityUpdaterFromRegularization
+*/
+class SensitivityUpdaterFromRegularization : public SensitivityUpdater
+{
+public:
+ SensitivityUpdaterFromRegularization(RegularizationInterface* const regularization) : _regularization(regularization) {};
+private:
+ RegularizationInterface* const _regularization;
+
+ virtual Sensitivity sensitivity(Order order, Support support, const ModelState& ms);
};
/*
@@ -46,12 +60,12 @@ private:
class SensitivityUpdaterFromVector : public SensitivityUpdater
{
public:
- SensitivityUpdaterFromVector(unsigned int nf, SensitivityUpdater* *const sue) : _nf(nf), _sue(sue) {};
+ SensitivityUpdaterFromVector(unsigned int ns, SensitivityUpdater* *const suv) : _ns(ns), _suv(suv) {};
private:
- unsigned int _nf;
- SensitivityUpdater* *const _sue;
+ unsigned int _ns;
+ SensitivityUpdater* *const _suv;
- virtual Sensitivity sensitivity(Order order, Support support, const ModelStateEvaluator& ms);
+ virtual Sensitivity sensitivity(Order order, Support support, const ModelState& ms);
};
#endif // H_COMMON_SENSITIVITY_UPDATER
diff --git a/common/statefunctional.cpp b/common/statefunctional.cpp
index 989d1d4a4f8a3c0cf13fa9cffb7278d49b7f54c0..16fdf1568d2fb5aa5688e82bf6ef5fb76e5cd7a6 100644
--- a/common/statefunctional.cpp
+++ b/common/statefunctional.cpp
@@ -3,7 +3,7 @@
/* Will simplify when Equation is multifrequency */
template<Physic T_Physic>
-StateFunctional<T_Physic>::StateFunctional(const ConfigurationInterface* const config, InnerProductInterface* const innerproduct, const std::vector< double >& freq, const std::vector<EquationInterface<T_Physic>*>& equation, ObjectiveInterface<T_Physic>* const objective): _innerproduct(innerproduct), _equation(equation), _objective(objective), _nf(freq.size()), _mu(config,&_su,_innerproduct), _sue(new SensitivityUpdater*[_nf]), _su(_nf,_sue), _wu( (WaveUpdater<T_Physic> *) std::malloc(_nf * sizeof(WaveUpdater<T_Physic>))), _du(freq,config,_wu,_objective)
+StateFunctional<T_Physic>::StateFunctional(const ConfigurationInterface* const config, InnerProductInterface* const innerproduct, RegularizationInterface* const regularization, const std::vector< double >& freq, const std::vector<EquationInterface<T_Physic>*>& equation, ObjectiveInterface<T_Physic>* const objective): _innerproduct(innerproduct), _regularization(regularization), _equation(equation), _objective(objective), _nf(freq.size()), _mu(config,&_su,_innerproduct), _suv(new SensitivityUpdater*[(_regularization!=nullptr) ? (_nf+1):_nf]), _su((_regularization!=nullptr) ? (_nf+1):_nf,_suv), _wu( (WaveUpdater<T_Physic> *) std::malloc(_nf * sizeof(WaveUpdater<T_Physic>))), _du(freq,config,_wu,_objective)
{
if(equation.size() != _nf)
{
@@ -20,7 +20,11 @@ StateFunctional<T_Physic>::StateFunctional(const ConfigurationInterface* const c
for (unsigned int f = 0; f < _nf; f++)
{
new(&_wu[f]) WaveUpdater<T_Physic>(config,&_du,_equation[f]);
- _sue[f] = new SensitivityUpdaterFromEquation<T_Physic>(&_wu[f],&_du,_equation[f]);
+ _suv[f] = new SensitivityUpdaterFromEquation<T_Physic>(&_wu[f],&_du,_equation[f]);
+ }
+ if(_regularization!=nullptr)
+ {
+ _suv[_nf] = new SensitivityUpdaterFromRegularization(_regularization);
}
if(_innerproduct!=nullptr){_innerproduct->link(&_mu,&_su);}
}
@@ -32,9 +36,13 @@ StateFunctional<T_Physic>::~StateFunctional()
if(_objective!=nullptr){_objective->unlink();}
for (unsigned int f = 0; f < _nf; f++)
{
- delete _sue[f];
+ delete _suv[f];
+ }
+ if(_regularization!=nullptr)
+ {
+ delete _suv[_nf];
}
- delete[] _sue;
+ delete[] _suv;
std::free(_wu);
}
@@ -106,7 +114,7 @@ void StateFunctional<T_Physic>::objectiveIsObsolete()
for (unsigned int f = 0; f < _nf; f++)
{
_wu[f].isObsolete(waveNoMoreUpToDate);
- _sue[f]->isObsolete(sensitivityNoMoreUpToDate);
+ _suv[f]->isObsolete(sensitivityNoMoreUpToDate);
}
_su.isObsolete(sensitivityNoMoreUpToDate);
@@ -114,6 +122,19 @@ void StateFunctional<T_Physic>::objectiveIsObsolete()
_mu.isObsolete(modelNoMoreUpToDate);
}
+template<Physic T_Physic>
+void StateFunctional<T_Physic>::regularizationIsObsolete()
+{
+ if(_regularization != nullptr)
+ {
+ std::array<bool,3> sensitivityNoMoreUpToDate = {true, true, true};
+ _suv[_nf]->isObsolete(sensitivityNoMoreUpToDate);
+ _su.isObsolete(sensitivityNoMoreUpToDate);
+ std::array<bool,4> modelNoMoreUpToDate = {false, false, true, true};
+ _mu.isObsolete(modelNoMoreUpToDate);
+ }
+}
+
template<Physic T_Physic>
void StateFunctional<T_Physic>::modelIsObsolete()
{
@@ -133,7 +154,13 @@ void StateFunctional<T_Physic>::modelIsObsolete()
sensitivityNoMoreUpToDate[Order::DIAG]=false;
sensitivityNoMoreUpToDate[Order::DIAG] = _equation[f]->modelIsObsolete();
if(sensitivityNoMoreUpToDate[Order::DIAG]){sensitivityNoMoreUpToDateOverallDiag=true;}
- _sue[f]->isObsolete(sensitivityNoMoreUpToDate);
+ _suv[f]->isObsolete(sensitivityNoMoreUpToDate);
+ }
+ if(_regularization!=nullptr)
+ {
+ _regularization->modelIsObsolete();
+ sensitivityNoMoreUpToDate[Order::DIAG]=false;
+ _suv[_nf]->isObsolete(sensitivityNoMoreUpToDate);
}
sensitivityNoMoreUpToDate[Order::DIAG]=sensitivityNoMoreUpToDateOverallDiag;
_su.isObsolete(sensitivityNoMoreUpToDate);
@@ -156,7 +183,12 @@ void StateFunctional<T_Physic>::modelPerturbationIsObsolete()
{
_wu[f].isObsolete(waveNoMoreUpToDate);
_equation[f]->modelPerturbationIsObsolete();
- _sue[f]->isObsolete(sensitivityNoMoreUpToDate);
+ _suv[f]->isObsolete(sensitivityNoMoreUpToDate);
+ }
+ if(_regularization!=nullptr)
+ {
+ _regularization->modelPerturbationIsObsolete();
+ _suv[_nf]->isObsolete(sensitivityNoMoreUpToDate);
}
_su.isObsolete(sensitivityNoMoreUpToDate);
@@ -164,6 +196,14 @@ void StateFunctional<T_Physic>::modelPerturbationIsObsolete()
_mu.isObsolete(modelNoMoreUpToDate);
}
+
+template<Physic T_Physic>
+void StateFunctional<T_Physic>::iteration(unsigned int iteration)
+{
+ _iteration=iteration;
+ if(_innerproduct->iteration(iteration)==true){innerproductIsObsolete();}
+}
+
template<Physic T_Physic>
void StateFunctional<T_Physic>::setModel(const ModelField& m)
{
@@ -212,12 +252,46 @@ const ModelField& StateFunctional<T_Physic>::dm() const
template<Physic T_Physic>
double StateFunctional<T_Physic>::performance()
{
- std::array<bool,5> DataToBeUpdated = {true,false,false,false,false};
- std::array<bool,4> ModelToBeUpdated = {true,false,false,false};
+ return performance_objective()+performance_regularization();
+}
- return _objective->performance(
- _du.get(DataToBeUpdated,_mu.get(ModelToBeUpdated)).state(Type::FS)
- );
+template<Physic T_Physic>
+double StateFunctional<T_Physic>::performance_objective()
+{
+ if(_objective!=nullptr)
+ {
+ std::array<bool,5> DataToBeUpdated = {true,false,false,false,false};
+ std::array<bool,4> ModelToBeUpdated = {true,false,false,false};
+
+ return _objective->performance(
+ _du.get(DataToBeUpdated,_mu.get(ModelToBeUpdated)).state(Type::FS)
+ );
+ }
+ else
+ {
+ return 0.;
+ }
+}
+
+template<Physic T_Physic>
+double StateFunctional<T_Physic>::performance_regularization()
+{
+
+ if(_regularization!=nullptr)
+ {
+ std::array<bool,4> ModelToBeUpdated = {true,false,false,false};
+ if(!_mu.get(ModelToBeUpdated).available(Type::FS,true))
+ {
+ throw gmshfem::common::Exception("Impossible to compute the regularization part of the performance functional for a model function. Only possible for fields.");
+ }
+ return _regularization->performance(
+ _mu.get(ModelToBeUpdated).field(Type::FS)
+ );
+ }
+ else
+ {
+ return 0.;
+ }
}
/*
@@ -257,7 +331,7 @@ const Sensitivity& StateFunctional<T_Physic>::sensitivity(unsigned int f, Order
case Order::FST: case Order::DIAG:
ModelToBeUpToDate[Type::FS] = true;
}
- return _sue[f]->get(order,support,_mu.get(ModelToBeUpToDate));
+ return _suv[f]->get(order,support,_mu.get(ModelToBeUpToDate));
}
/* directional */
@@ -275,6 +349,16 @@ double StateFunctional<T_Physic>::directional(Order order, Support support, cons
)
);
}
+ if(_regularization!=nullptr)
+ {
+ sum += std::real(
+ _regularization->directional(
+ sensitivity(_nf,order,support),
+ dm2,
+ support
+ )
+ );
+ }
return sum;
}
diff --git a/common/statefunctional.h b/common/statefunctional.h
index a4d381798d19dc2d18e6e409bafdf33d7a49c970..28031e7e9f921192e733d05e9c65f60242c06b1d 100644
--- a/common/statefunctional.h
+++ b/common/statefunctional.h
@@ -5,6 +5,7 @@
#include "functional.h"
#include "model/updater.h"
#include "model/innerproduct/innerproduct.h"
+#include "model/regularization/regularization.h"
#include "wave/updater.h"
#include "wave/equation/equation.h"
#include "data/updater.h"
@@ -15,13 +16,14 @@ class StateFunctional: public FunctionalInterface
{
private:
InnerProductInterface* const _innerproduct;
+ RegularizationInterface* const _regularization;
const std::vector<EquationInterface<T_Physic>*> _equation;
ObjectiveInterface<T_Physic>* const _objective;
const unsigned int _nf;
ModelUpdater _mu;
- SensitivityUpdater* *const _sue;
+ SensitivityUpdater* *const _suv;
SensitivityUpdaterFromVector _su;
WaveUpdater<T_Physic> *const _wu;
@@ -30,12 +32,13 @@ private:
void modelIsObsolete();
void modelPerturbationIsObsolete();
public:
- StateFunctional(const ConfigurationInterface* const config, InnerProductInterface* const innerproduct, const std::vector< double >& freq, const std::vector<EquationInterface<T_Physic>*>& equation, ObjectiveInterface<T_Physic>* const objective);
+ StateFunctional(const ConfigurationInterface* const config, InnerProductInterface* const innerproduct, RegularizationInterface* const regularization, const std::vector< double >& freq, const std::vector<EquationInterface<T_Physic>*>& equation, ObjectiveInterface<T_Physic>* const objective);
~StateFunctional();
void innerproductIsObsolete();
void objectiveIsObsolete();
+ void regularizationIsObsolete();
void write_model(Type type, std::string name);
void write_data(Type type, std::string name, std::string fmt = "csv");
@@ -43,6 +46,7 @@ public:
virtual const InnerProductInterface* const innerproduct() const {return _innerproduct;};
+ virtual void iteration(unsigned int iteration) override;
virtual void setModel(const ModelField& m);
virtual void setModel(const ModelFunction& m);
virtual void setModelPerturbation(const ModelField& dm);
@@ -53,6 +57,8 @@ public:
/* performance */
virtual double performance();
+ double performance_objective();
+ double performance_regularization();
/*
* First order
diff --git a/common/wave/correlation.h b/common/wave/correlation.h
index 554fbc2bb9fd493b7cc471e8cbbb2e15771c180d..85bce9727a2987beb393b7e73a6e78439ff9ae2d 100644
--- a/common/wave/correlation.h
+++ b/common/wave/correlation.h
@@ -52,7 +52,7 @@ namespace gmshfem
{
}
- virtual void operator()(const WaveMultiField<T_Physic> *fieldA, const WaveMultiField<T_Physic> *fieldB, std::vector< typename MathObject< std::complex<double>, Degree::Degree0 >::Object > &values, const std::vector< scalar::Precision< std::complex<double> > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const = 0;
+ virtual void operator()(const WaveMultiField<T_Physic> *fieldA, const WaveMultiField<T_Physic> *fieldB, OutputVector< std::complex<double>, Degree::Degree0 > &values, const std::vector< scalar::Precision< std::complex<double> >, numa::allocator< scalar::Precision< std::complex<double> > > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const = 0;
};
template< class T_Op, Physic T_Physic >
@@ -96,31 +96,23 @@ namespace gmshfem
return false;
}
- virtual void evaluate(std::vector< typename MathObject< typename T_Op::D_Scalar, T_Op::D_Degree >::Object > &values, const std::vector< scalar::Precision< typename T_Op::D_Scalar > > &points, const std::vector< scalar::Precision< typename T_Op::D_Scalar > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const override
+ virtual void evaluate(OutputVector< typename T_Op::D_Scalar, T_Op::D_Degree > &values, const std::vector< scalar::Precision< typename T_Op::D_Scalar >, numa::allocator< scalar::Precision< typename T_Op::D_Scalar > > > &points, const std::vector< scalar::Precision< typename T_Op::D_Scalar > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const override
{
-#pragma omp single
+ if(values.size() < points.size() / 3)
{
- if(this->_memorize) {
- this->getFromMemory(values, gaussPoints, elementType, entity);
- }
- }
- if(!this->_isInMemory) {
-#pragma omp single
- values.resize(points.size() / 3);
-
- _op(_fieldA, _fieldB, values, points, gaussPoints, elementType, entity);
#pragma omp barrier
- if(this->_memorize) {
-#pragma omp single
- this->setInMemory(values, gaussPoints, elementType, entity);
- }
+ FunctionAllocator< typename MathObject< typename T_Op::D_Scalar, T_Op::D_Degree >::Object >::initalizeNUMAMemory(points.size() / 3);
+#pragma omp master
+ values.resize(points.size() / 3);
+#pragma omp barrier
}
+ _op(_fieldA, _fieldB, values, points, gaussPoints, elementType, entity);
+#pragma omp barrier
}
virtual BiWaveMultiFieldNode< T_Op,T_Physic > *copy() const override
{
BiWaveMultiFieldNode< T_Op,T_Physic > *cp = new BiWaveMultiFieldNode< T_Op,T_Physic >(_op, _fieldA, _fieldB);
- if(this->_memorize) cp->activateMemorization();
return cp;
}
@@ -161,7 +153,7 @@ namespace gmshfem
{
}
- virtual void operator()(const WaveMultiField<T_Physic>* field, std::vector< typename MathObject< std::complex<double>, Degree::Degree0 >::Object > &values, const std::vector< scalar::Precision< std::complex<double> > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const = 0;
+ virtual void operator()(const WaveMultiField<T_Physic>* field, OutputVector< std::complex<double>, Degree::Degree0 > &values, const std::vector< scalar::Precision< std::complex<double> >, numa::allocator< scalar::Precision< std::complex<double> > > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const = 0;
};
template< class T_Op, Physic T_Physic >
@@ -203,31 +195,24 @@ namespace gmshfem
return false;
}
- virtual void evaluate(std::vector< typename MathObject< typename T_Op::D_Scalar, T_Op::D_Degree >::Object > &values, const std::vector< scalar::Precision< typename T_Op::D_Scalar > > &points, const std::vector< scalar::Precision< typename T_Op::D_Scalar > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const override
+ virtual void evaluate(OutputVector< typename T_Op::D_Scalar, T_Op::D_Degree > &values, const std::vector< scalar::Precision< typename T_Op::D_Scalar >, numa::allocator< scalar::Precision< typename T_Op::D_Scalar > > > &points, const std::vector< scalar::Precision< typename T_Op::D_Scalar > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const override
{
-#pragma omp single
- {
- if(this->_memorize) {
- this->getFromMemory(values, gaussPoints, elementType, entity);
- }
- }
- if(!this->_isInMemory) {
-#pragma omp single
- values.resize(points.size() / 3);
-
- _op(_field, values, points, gaussPoints, elementType, entity);
+ if(values.size() < points.size() / 3)
+ {
+#pragma omp barrier
+ FunctionAllocator< typename MathObject< typename T_Op::D_Scalar, T_Op::D_Degree >::Object >::initalizeNUMAMemory(points.size() / 3);
+#pragma omp master
+ values.resize(points.size() / 3);
#pragma omp barrier
- if(this->_memorize) {
-#pragma omp single
- this->setInMemory(values, gaussPoints, elementType, entity);
- }
- }
}
+ _op(_field, values, points, gaussPoints, elementType, entity);
+#pragma omp barrier
+ }
+
virtual WaveMultiFieldNode< T_Op,T_Physic > *copy() const override
{
WaveMultiFieldNode< T_Op,T_Physic > *cp = new WaveMultiFieldNode< T_Op,T_Physic >(_op, _field);
- if(this->_memorize) cp->activateMemorization();
return cp;
}
diff --git a/directional.cpp b/directional.cpp
index 6dbf194925cdbcb17f2643d0f6577c3b2823e7fa..a8a6cd26bc35605d8e4e9ec8e1273ae48848b3e7 100644
--- a/directional.cpp
+++ b/directional.cpp
@@ -152,7 +152,7 @@ int directional(const GmshFem& gmshFem)
pequation[f] = new ParametrizedEquation<T_Physic>(parametrization,f,2.*M_PI*subfrequency[f],configuration,w_discret,gmshFem,suffix_f);
}
- StateFunctional<T_Physic>* const statefunctional = new StateFunctional<T_Physic>(configuration,nullptr,subfrequency,pequation,objective);
+ StateFunctional<T_Physic>* const statefunctional = new StateFunctional<T_Physic>(configuration,nullptr,nullptr,subfrequency,pequation,objective);
FunctionalInterface* const functional = statefunctional;
double eps;
diff --git a/directional_field.cpp b/directional_field.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..20d08f5dc78d2b58a61a000cfe34102550ae5ea4
--- /dev/null
+++ b/directional_field.cpp
@@ -0,0 +1,241 @@
+//Standard Library
+#include <numeric>
+
+//GmshFem Library
+#include "GmshFem.h"
+#include "Post.h"
+#include "CSVio.h"
+
+using namespace gmshfem;
+using namespace gmshfem::common;
+using namespace gmshfem::post;
+using namespace gmshfem::function;
+
+//FWI Library
+#include "specific/physic.h"
+#include "specific/configuration/newConfiguration.h"
+#include "specific/model/parametrization/newParametrization.h"
+#include "common/wave/equation/equation.h"
+#include "specific/data/objective/newObjective.h"
+#include "specific/model/regularization/newRegularization.h"
+#include "specific/model/sweeper.h"
+#include "common/statefunctional.h"
+
+template <Physic T_Physic>
+int directional(const GmshFem& gmshFem)
+{
+ std::string name = "";
+ gmshFem.userDefinedParameter(name, "prename");
+ std::string suffix = "noname";
+ gmshFem.userDefinedParameter(suffix, "name");
+ name += suffix;
+
+ ParametrizationInterface* const parametrization = newParametrization<T_Physic>(gmshFem);
+
+ ConfigurationInterface* configuration = newConfiguration(name, parametrization, gmshFem);
+
+ unsigned int n_freq_tot = 0;
+ if(!gmshFem.userDefinedParameter(n_freq_tot, "n_freq"))
+ {
+ throw Exception("Total frequency number could not be found.");
+ }
+ std::vector<double> frequency(n_freq_tot);
+ std::vector<std::string> filename(n_freq_tot);
+ for (unsigned int f = 0; f < n_freq_tot; f++)
+ {
+ std::string suffix = std::to_string(f);
+ if(!gmshFem.userDefinedParameter(frequency[f], "frequency"+suffix))
+ {
+ throw Exception("Frequency #"+suffix+" could not be found.");
+ }
+ if(!gmshFem.userDefinedParameter(filename[f], "data"+suffix))
+ {
+ msg::warning << "Data filename #"+suffix+" could not be found." << msg::endl;
+ if(!gmshFem.userDefinedParameter(filename[f], "data"))
+ {
+ throw Exception("Data filename could not be found.");
+ }
+ filename[f] += suffix;
+ msg::warning << "filename #"+suffix+" = "<< filename[f] << msg::endl;
+ }
+ }
+ const Data<T_Physic> d0(filename,frequency,configuration);
+
+ unsigned int n_group = 0;
+ if(!gmshFem.userDefinedParameter(n_group, "n_group"))
+ {
+ throw Exception("Number of frequency groups could not be found.");
+ }
+
+ for (unsigned int g = 0; g < n_group; g++)
+ {
+ std::string suffix_g = std::to_string(g);
+ msg::print << "--- Frequency group #" + suffix_g << " --- " << msg::endl;
+ msg::indent();
+
+ unsigned int n_freq = 0;
+ std::vector<unsigned int> freq_idx;
+ if(!gmshFem.userDefinedParameter(n_freq, "n_freq"+suffix_g))
+ {
+ msg::warning << "Total frequency number for frequency group #" << suffix_g << " could not be found." << msg::endl;
+ if(n_group == n_freq_tot)
+ {
+ n_freq = 1;
+ freq_idx.resize(n_freq);
+ freq_idx[0] = g;
+ msg::warning << "A single frequency is used for frequency group #" << suffix_g << msg::endl;
+ }
+ else if(n_group == 1)
+ {
+ n_freq = n_freq_tot;
+ freq_idx.resize(n_freq);
+ std::iota(freq_idx.begin(), freq_idx.end(), 0);
+ msg::warning << "All frequencies are used for frequency group #" << suffix_g << msg::endl;
+ }
+ else
+ {
+ throw Exception("Simultaneous inversion of all frequencies requires n_group = 1. Sequential inversion of all frequencies requires n_group = n_freq_tot. Any intermediate case must be specified explicitely");
+ }
+ }
+ else
+ {
+ freq_idx.resize(n_freq);
+ for (unsigned int f = 0; f < n_freq; f++)
+ {
+ std::string suffix_f = std::to_string(f);
+ if(!gmshFem.userDefinedParameter(freq_idx[f], "frequency"+suffix_g+suffix_f))
+ {
+ freq_idx[f] = f;
+ msg::warning << "Frequency index #"+suffix_f+" for group #" + suffix_g + " could not be found. Index = " << f << "(default)." << msg::endl;
+ }
+ msg::print << "frequency #" + suffix_f << " = " << frequency[freq_idx[f]] << msg::endl;
+ }
+ }
+ const Data<T_Physic> d0g(freq_idx,d0);
+
+ ObjectiveInterface<T_Physic>* const objective = (d0g.nf()!=0 ? newObjective<T_Physic>(d0g,configuration,gmshFem) : nullptr);
+
+ std::vector<EquationInterface<T_Physic>*> pequation(n_freq);
+ std::vector<double> subfrequency(n_freq);
+ for (unsigned int f = 0; f < n_freq; f++)
+ {
+ std::string suffix_f = std::to_string(freq_idx[f]);
+ subfrequency[f] = frequency[freq_idx[f]];
+
+ wave::Discretization<T_Physic> w_discret(gmshFem,suffix_f);
+ pequation[f] = new ParametrizedEquation<T_Physic>(parametrization,f,2.*M_PI*subfrequency[f],configuration,w_discret,gmshFem,suffix_f);
+ }
+
+ model::Discretization m_discret(gmshFem,suffix_g);
+ ModelFieldSweeperInterface* sweeper_m = newModelFieldSweeper("m",configuration,m_discret,gmshFem);
+ ModelFieldSweeperInterface* sweeper_dm = newModelFieldSweeper("dm",configuration,m_discret,gmshFem);
+
+ RegularizationInterface* const regularization = newRegularization(configuration,(*sweeper_m)(0,0), gmshFem);
+
+ StateFunctional<T_Physic>* const statefunctional = new StateFunctional<T_Physic>(configuration,nullptr,regularization,subfrequency,pequation,objective);
+ FunctionalInterface* const functional = statefunctional;
+
+
+ double eps;
+ if(!gmshFem.userDefinedParameter(eps, "eps"))
+ {
+ throw Exception("Finite difference step (eps) could not be found.");
+ }
+ unsigned int N = sweeper_m->max_idx()[0];
+
+ CSVio output(name+"_directionalg"+suffix_g, ';', common::OpeningMode::NewFile);
+ msg::print << "Compute directional derivatives" << msg::endl;
+ msg::indent();
+ unsigned int write_data_fields = 0;
+ gmshFem.userDefinedParameter(write_data_fields, "write_data_fields");
+ for (unsigned int n = 0; n <= N; n++)
+ {
+ msg::print << "--- Validation point #" << n << " --- " << msg::endl;
+ msg::indent();
+
+ ModelField m = (*sweeper_m)(n,0);
+ ModelField dm = (*sweeper_dm)(n,0);
+
+ functional->setModel(m);
+ functional->setModelPerturbation(dm);
+
+ double j = functional->performance();
+ msg::print << "j: "<< j << msg::endl;
+ if(write_data_fields){statefunctional->write_data(Type::FS,name+"_data_field"+std::to_string(n));}
+
+ /*
+ double dj_s = 0.;
+ double dj_v = 0.;
+ double jfd = 0.;
+ double d2j_s = 0.;
+ double d2j_v = 0.;
+ double j2fd = 0.;
+ */
+
+ double dj_s = statefunctional->directional(Order::FST, Support::BND, dm);
+ double dj_v = statefunctional->directional(Order::FST, Support::BLK, dm);
+ double d2j_s = statefunctional->directional(Order::SCD, Support::BND, dm);
+ double d2j_v = statefunctional->directional(Order::SCD, Support::BLK, dm);
+ /*
+ */
+
+ double jp = functional->performance(m + dm*eps);
+ //msg::print << "jp: "<< jp << msg::endl;
+ double jm = functional->performance(m - dm*eps);
+ //msg::print << "jm: "<< jm << msg::endl;
+ double jfd = (jp - jm) / 2. / eps;
+ msg::print << "dj_s: "<< dj_s << msg::endl;
+ msg::print << "dj_v: "<< dj_v << msg::endl;
+ msg::print << "jd: "<< dj_s+dj_v << msg::endl;
+ msg::print << "jFD: "<< jfd << msg::endl;
+
+ double jp1 = functional->performance(m + dm*eps*2.);
+ //msg::print << "jp1: "<< jp1 << msg::endl;
+ double jm1 = functional->performance(m - dm*eps*2.);
+ //msg::print << "jm1: "<< jm1 << msg::endl;
+
+ double j2fd = (jm1 -2.*jm +2.*j -2.*jp + jp1) / eps / eps / 2.;
+ msg::print << "d2j_s: "<< d2j_s << msg::endl;
+ msg::print << "d2j_v: "<< d2j_v << msg::endl;
+ msg::print << "d2j: "<< d2j_s+d2j_v << msg::endl;
+ msg::print << "j2FD: "<< j2fd << msg::endl;
+ /*
+ */
+
+ output << sweeper_m->value(n,0)[0] << j << dj_s << dj_v << dj_s+dj_v << jfd << dj_s+dj_v - jfd << d2j_s << d2j_v << d2j_s+d2j_v << j2fd << d2j_s+d2j_v - j2fd << csv::endl;
+ msg::print << msg::endl;
+ msg::print << msg::endl;
+ msg::unindent();
+ }
+ output.close();
+
+ delete statefunctional;
+ for (unsigned int f = 0; f < n_freq; f++)
+ {
+ delete pequation[f];
+ }
+ delete objective;
+ delete regularization;
+ msg::unindent();
+ }
+
+ delete configuration;
+ delete parametrization;
+
+ return 0;
+}
+
+int main(int argc, char **argv)
+{
+ GmshFem gmshFem(argc, argv);
+ Physic T_Physic = to_physic(gmshFem);
+ switch (T_Physic)
+ {
+ case Physic::acoustic: default:
+ return directional<Physic::acoustic>(gmshFem);
+ case Physic::electromagnetic:
+ return directional<Physic::electromagnetic>(gmshFem);
+ case Physic::elastodynamic:
+ return directional<Physic::elastodynamic>(gmshFem);
+ }
+}
diff --git a/discrepancy.py b/discrepancy.py
new file mode 100644
index 0000000000000000000000000000000000000000..2fd8c91daf3591a665149348b372626d1069d1f2
--- /dev/null
+++ b/discrepancy.py
@@ -0,0 +1,47 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Fri May 6 12:42:21 2022
+
+@author: xavier
+"""
+import numpy as np
+import scipy as sp
+from scipy import linalg
+import matplotlib.pyplot as plt
+from matplotlib import rc
+rc('text.latex', preamble=r'\usepackage{amsmath} \usepackage{amssymb}')
+rc('font',**{'family':'serif','sans-serif':['Times New Roman'],'size':15})
+rc('text', usetex=True)
+#Value for 1 width figure
+H = 3.;
+W = 8.;
+
+#
+# Time domain
+#
+
+"""
+path = "extended_marmousi_data/"
+prename = "paper2_extended_synthetics_data"
+snr_tag = 'snr2'
+Nf = 3
+"""
+
+"""
+path = "concrete3_data/"
+prename = "paper2_concrete3_synthetics_data"
+snr_tag = 'snrm3'
+Nf=9
+"""
+
+path = "cross_data/"
+prename = "cross_synthetics_data"
+snr_tag = 'snr6'
+Nf=7
+
+noise = 0.
+for f in range(0,Nf):
+ tmp = np.loadtxt(path+prename+str(f)+".csv",delimiter=";");
+ tmp_snr = np.loadtxt(path+prename+'_'+snr_tag+'f'+str(f)+".csv",delimiter=";");
+ noise += sp.linalg.norm(tmp-tmp_snr)**2
\ No newline at end of file
diff --git a/error.cpp b/error.cpp
index 9394a5acd3acd395de9b06a794e554b9f2703429..c4896285ffbb29f60eebcf8478413957d63c1534 100644
--- a/error.cpp
+++ b/error.cpp
@@ -4,6 +4,8 @@
#include "GmshFem.h"
#include "Post.h"
#include "Function.h"
+#include "CSVio.h"
+
using namespace gmshfem;
using namespace gmshfem::common;
using namespace gmshfem::function;
@@ -11,14 +13,10 @@ using namespace gmshfem::function::literals;
using namespace gmshfem::post;
//GmshFWI Library
-//#include "common/data/updater.h"
-//#include "common/wave/updater.h"
-//#include "specific/physic.h"
#include "specific/configuration/newConfiguration.h"
#include "specific/model/parametrization/newParametrization.h"
-//#include "common/wave/equation/equation.h"
-enum class Error: unsigned int { Abs=0, Sqd=1, SqdInvRoot=2, Rel=3 };
+enum class Error: unsigned int { Abs=0, Sqd=1, SqdInvRoot=2, Rel=3, ExpRel=4 };
Error to_error(const GmshFem& gmshFem)
{
std::string error_buffer;
@@ -28,6 +26,7 @@ Error to_error(const GmshFem& gmshFem)
else if(error_buffer=="root_mean_squared"){return Error::Sqd;}
else if(error_buffer=="root_mean_squared_inverse_root"){return Error::SqdInvRoot;}
else if(error_buffer=="relative_mean"){return Error::Rel;}
+ else if(error_buffer=="exp_relative_mean"){return Error::ExpRel;}
}
return Error::Sqd;
}
@@ -45,23 +44,17 @@ int error(const GmshFem& gmshFem)
ConfigurationInterface* configuration = newConfiguration(name, parametrization, gmshFem);
- double area = integrate(1._d_sf, configuration->model_unknown(Support::BLK),"Gauss0");
- msg::print << "Model unknown area = " << area << msg::endl;
-
unsigned int write_error_field = 0;
gmshFem.userDefinedParameter(write_error_field, "write_error_field");
std::string inverted_model_path = "";
gmshFem.userDefinedParameter(inverted_model_path, "inverted_model_path");
- std::string inverted_model_prefix = "";
- gmshFem.userDefinedParameter(inverted_model_prefix, "inverted_model_prefix");
+
Error error_type = to_error(gmshFem);
- std::string inverted_model_name = "noname";
std::string integration_type = "integration_type";
unsigned int n_it = 0;
unsigned int integration_degree = 0;
if(!(
- gmshFem.userDefinedParameter(inverted_model_name, "inverted_model_name") &&
gmshFem.userDefinedParameter(n_it, "inverted_model_number") &&
gmshFem.userDefinedParameter(integration_degree, "integration_degree") &&
gmshFem.userDefinedParameter(integration_type, "integration_type")
@@ -70,6 +63,107 @@ int error(const GmshFem& gmshFem)
throw Exception("An error parameter could not be found");
}
+ std::string mask_type = "none";
+ if(!gmshFem.userDefinedParameter(mask_type, "error_mask_type"))
+ {
+ msg::warning << "Error mask type oculd not be found. No mask is used (default)." << msg::endl;
+ }
+ ScalarFunction<std::complex<double>> mask;
+ if(mask_type == "none")
+ {
+ mask = 1.;
+ }
+ else if(mask_type == "circle")
+ {
+ double r0 = 3.;
+
+ mask = heaviside< std::complex<double> >
+ (
+ r0*r0 - pow(x< std::complex<double> >(),2) - pow(y< std::complex<double> >(),2)
+ );
+ }
+ else if(mask_type == "horizontal")
+ {
+ double y0 = -2.;
+
+ mask = heaviside< std::complex<double> >
+ (
+ y< std::complex<double> >()-y0
+ );
+ }
+ else if(mask_type == "vertical-slice")
+ {
+ double x0 = 0.008;
+ double x1 = 0.017;
+ mask = heaviside< std::complex<double> >
+ (
+ (x< std::complex<double> >()-x0)*(x1-x< std::complex<double> >())
+ );
+ }
+ else
+ {
+ throw Exception("Mask type "+mask_type+" is unknown.");
+ }
+
+ double area = std::real(integrate(mask, configuration->model_unknown(Support::BLK),"Gauss0"));
+ msg::print << "Model mask unknown area = " << area << msg::endl;
+
+
+
+ unsigned int list_buf = 0;
+ if(!gmshFem.userDefinedParameter(list_buf, "inverted_model_list"))
+ {
+ msg::warning << "Error name list is not used (default)" << msg::endl;
+ }
+ bool list = ((bool)list_buf);
+
+ unsigned int skip = 1;
+ if(!gmshFem.userDefinedParameter(skip, "inverted_model_skip"))
+ {
+ msg::warning << "Skip number could not be found. Defautl value (1) is used." << msg::endl;
+ }
+
+ std::vector<std::string> filename(n_it+1);
+ if(list)
+ {
+ for (unsigned int n = 0; n <= n_it; n++)
+ {
+ if(!gmshFem.userDefinedParameter(filename[n], "inverted_model_name"+std::to_string(n)))
+ {
+ throw Exception("File name #" + std::to_string(n) + " could not be found");
+ }
+ filename[n] = inverted_model_path + filename[n];
+ }
+ }
+ else
+ {
+ std::string inverted_model_name = "noname";
+ if(!gmshFem.userDefinedParameter(inverted_model_name, "inverted_model_name"))
+ {
+ throw Exception("Error model name could not be found");
+ }
+ std::string inverted_model_prefix = "";
+ gmshFem.userDefinedParameter(inverted_model_prefix, "inverted_model_prefix");
+
+ std::string inverted_model_suffix = "";
+ if(gmshFem.userDefinedParameter(inverted_model_suffix, "inverted_model_suffix"))
+ {
+ for (unsigned int n = 0; n <= n_it; n++)
+ {
+ filename[n] = inverted_model_path+inverted_model_name+inverted_model_prefix+std::to_string(n*skip)+inverted_model_suffix;
+ }
+ }
+ else
+ {
+ filename[0] = inverted_model_path+inverted_model_name+"_m_initial";
+ for (unsigned int n = 1; n <= n_it; n++)
+ {
+ filename[n] = inverted_model_path+inverted_model_name+inverted_model_prefix+"m"+std::to_string(n*skip);
+ }
+ }
+
+ }
+
CSVio output(inverted_model_path+name, ';', common::OpeningMode::NewFile);
int view_cnt = 0;
for (unsigned int n = 0; n < n_it+1; n++)
@@ -77,14 +171,7 @@ int error(const GmshFem& gmshFem)
for (unsigned int c = 0; c < parametrization->size(); c++)
{
std::string suffix = "c" + std::to_string(c);
- if(n == 0)
- {
- gmsh::merge(inverted_model_path+inverted_model_name+"_m_initial"+suffix+".pos");
- }
- else
- {
- gmsh::merge(inverted_model_path+inverted_model_name+inverted_model_prefix+"m"+std::to_string(n)+suffix+".pos");
- }
+ gmsh::merge(filename[n]+suffix+".pos");
ScalarFunction<std::complex<double>> m = probeScalarView<std::complex<double>>(view_cnt);
view_cnt++;
@@ -92,30 +179,41 @@ int error(const GmshFem& gmshFem)
gmsh::model::setCurrent(configuration->model_gmodel());
ScalarFunction<std::complex<double>> error_density;
-
- std::complex<double> error;
switch (error_type)
{
case Error::Abs:
error_density = abs(configuration->m0()[c]-m);
- error = integrate(error_density, configuration->model_unknown(Support::BLK),integration_type+std::to_string(integration_degree)) / area;
break;
case Error::Rel:
error_density = abs( (configuration->m0()[c]-m) / configuration->m0()[c] );
- error = integrate(error_density, configuration->model_unknown(Support::BLK),integration_type+std::to_string(integration_degree)) / area;
+ break;
+ case Error::ExpRel:
+ error_density = abs( (exp(configuration->m0()[c])-exp(m)) / exp(configuration->m0()[c]) );
break;
case Error::Sqd:
error_density = pow(abs(configuration->m0()[c]-m),2);
- error = std::sqrt(integrate(error_density, configuration->model_unknown(Support::BLK),integration_type+std::to_string(integration_degree)) / area);
break;
case Error::SqdInvRoot:
error_density = pow(abs(sqrt(1./configuration->m0()[c])-sqrt(1./m)),2);
- error = std::sqrt(integrate(error_density, configuration->model_unknown(Support::BLK),integration_type+std::to_string(integration_degree)) / area);
+ break;
+ }
+
+ std::complex<double> error;
+ switch (error_type)
+ {
+ case Error::Abs:
+ case Error::Rel:
+ case Error::ExpRel:
+ error = integrate(mask * error_density, configuration->model_unknown(Support::BLK),integration_type+std::to_string(integration_degree)) / area;
+ break;
+ case Error::Sqd:
+ case Error::SqdInvRoot:
+ error = std::sqrt(integrate(mask * error_density, configuration->model_unknown(Support::BLK),integration_type+std::to_string(integration_degree)) / area);
break;
}
msg::print << "Inverted model #" << n << " error = " << error << msg::endl;
- output << error << csv::endl;
+ output << error;
if(write_error_field)
{
@@ -124,6 +222,7 @@ int error(const GmshFem& gmshFem)
}
}
+ output << csv::endl;
}
return 0;
diff --git a/gradient.cpp b/gradient.cpp
index ac3ed165d18ddbe493338a2a9620fe8c11c22ddd..bb6bb2b33dcc895070360d3e4cb0fdbdf4792bc2 100644
--- a/gradient.cpp
+++ b/gradient.cpp
@@ -147,7 +147,7 @@ int gradient(const GmshFem& gmshFem)
pequation[f] = new ParametrizedEquation<T_Physic>(parametrization,f,2.*M_PI*subfrequency[f],configuration,w_discret,gmshFem,suffix_f);
}
- StateFunctional<T_Physic>* const statefunctional = new StateFunctional<T_Physic>(configuration,&innerproduct,subfrequency,pequation,objective);
+ StateFunctional<T_Physic>* const statefunctional = new StateFunctional<T_Physic>(configuration,&innerproduct,nullptr,subfrequency,pequation,objective);
FunctionalInterface* const functional = statefunctional;
functional->setModel(configuration->m0());
@@ -187,7 +187,7 @@ int gradient(const GmshFem& gmshFem)
msg::print << "--- Scale #"<< n << " = "<< scale << " --- " << msg::endl;
msg::indent();
- innerproduct.alpha( (scale / (2 * M_PI)) * (scale / (2 * M_PI)) );
+ innerproduct.scale(scale);
innerproduct.bulkWeight(1.0);
innerproduct.boundaryWeight(0.0);
statefunctional->innerproductIsObsolete();
diff --git a/input/TimeWave/concrete3/cluster/cluster_syntetics.sh b/input/TimeWave/concrete3/cluster/cluster_syntetics.sh
new file mode 100644
index 0000000000000000000000000000000000000000..df847b93d0dc4191aa7a718cd02d3dc6be2253f4
--- /dev/null
+++ b/input/TimeWave/concrete3/cluster/cluster_syntetics.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=timewave_synthetics_concrete3
+#SBATCH --output=timewave_synthetics_concrete3.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=300:00
+#SBATCH --mem-per-cpu=16000
+
+time ./time_synthetics_wave ../input/TimeWave/concrete3/common.txt ../input/TimeWave/concrete3/synthetics.txt -maxThreads 1 -verbose 2
diff --git a/input/TimeWave/concrete3/common.txt b/input/TimeWave/concrete3/common.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d6c4deb8ae90a6e9a7cf999456fee7e5e73c3236
--- /dev/null
+++ b/input/TimeWave/concrete3/common.txt
@@ -0,0 +1,45 @@
+prename = timewave_
+#Configuration
+configuration = rectangular_acquisition
+#
+#Parametrization
+parametrization = ln_slowness2_real
+model_reference_frequency = 1.
+#
+#Equation
+physic = acoustic
+equation = simplewave
+#
+L = 0.0312
+H = 0.0042
+Ler = 0.03
+Her = 0.003
+hx = 0.00015
+hy = 0.00015
+em_offset = 0
+em_step = 1
+re_offset = 0
+re_step = 1
+exclude_bottom_points = 1
+n_excluded_points = 12
+p_ex0 = 329
+p_ex1 = 330
+p_ex2 = 331
+p_ex3 = 332
+p_ex4 = 333
+p_ex5 = 334
+p_ex6 = 349
+p_ex7 = 350
+p_ex8 = 351
+p_ex9 = 352
+p_ex10 = 353
+p_ex11 = 354
+ReceiverOnEmitter=0
+#
+Re(mbc0) = 2.4079
+Im(mbc0) = 0.
+#
+#Discretization
+integration_type = Gauss
+#Wave
+wave_FunctionSpaceType = HierarchicalH1
diff --git a/input/TimeWave/concrete3/synthetics.txt b/input/TimeWave/concrete3/synthetics.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b09961ab29b2288d1466232de3e06dadaa9716f9
--- /dev/null
+++ b/input/TimeWave/concrete3/synthetics.txt
@@ -0,0 +1,19 @@
+name = synthetics
+#Configuration
+unknown = none
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#
+#Wave
+wave_FunctionSpaceDegree = 2
+#Equation
+equation_integration_degree_blk = 6
+equation_integration_degree_bnd = 7
+newmark_beta = 0.25
+newmark_gamma = 0.5
+newmark_dt = 1e-4
+newmark_T = 0.2
+excitation_fm = 150.
+excitation_offset = 0.0075
+#Output
+write_model_field = 1
diff --git a/input/TimeWave/cluster/cluster_syntetics.sh b/input/TimeWave/marmousi/cluster/cluster_syntetics.sh
similarity index 100%
rename from input/TimeWave/cluster/cluster_syntetics.sh
rename to input/TimeWave/marmousi/cluster/cluster_syntetics.sh
diff --git a/input/TimeWave/common.txt b/input/TimeWave/marmousi/common.txt
similarity index 100%
rename from input/TimeWave/common.txt
rename to input/TimeWave/marmousi/common.txt
diff --git a/input/TimeWave/synthetics.txt b/input/TimeWave/marmousi/synthetics.txt
similarity index 100%
rename from input/TimeWave/synthetics.txt
rename to input/TimeWave/marmousi/synthetics.txt
diff --git a/input/VO2009Algorithm/acoustic/natural/common.txt b/input/VO2009Algorithm/acoustic/natural/common.txt
index 2a3de6a278a3a1396285303a87e72ed61e74ea2e..197ffafec4a4f77d2805e09b4fdf9ec97cbc996b 100644
--- a/input/VO2009Algorithm/acoustic/natural/common.txt
+++ b/input/VO2009Algorithm/acoustic/natural/common.txt
@@ -1,12 +1,11 @@
prename = VO2009A_
#Equation
physic = acoustic
-equation = helmholtz
+equation = simplewave
equation_boundary = 0
#
#Parametrization
parametrization = slowness2_real
-model_reference_frequency = 1.
#
#Configuration
configuration = volume_acquisition
diff --git a/input/VO2009Algorithm/acoustic/natural/inversion.txt b/input/VO2009Algorithm/acoustic/natural/inversion.txt
index 9bd5212ae6d860dbd7c7c48399b099d1608b9b81..78e7c310a2c24ccf1173ea0f80d8a1159ef0aefb 100644
--- a/input/VO2009Algorithm/acoustic/natural/inversion.txt
+++ b/input/VO2009Algorithm/acoustic/natural/inversion.txt
@@ -7,7 +7,9 @@ gaussNewton = 1
objective = l2distance
#Inner product
innerproduct = sobolev_l2
-diag_preconditioner = 0
+innerproduct_diag_preconditioner_scale = 0
+innerproduct_update_interval = 1
+innerproduct_preconditioner_ref0 = 500
#
#Global minimum search
globalminimumsearch = sequentialscale
@@ -22,7 +24,7 @@ model_FunctionSpaceDegree = 1
innerproduct_integration_degree_blk = 10
innerproduct_integration_degree_bnd = 10
#
-n_group = 4
+n_group = 1
#Data
data0 = VO2009A_synthetics_data0
data1 = VO2009A_synthetics_data1
diff --git a/input/VO2009Algorithm/acoustic/natural/inversion_lbfgs.txt b/input/VO2009Algorithm/acoustic/natural/inversion_lbfgs.txt
index 07492a7357438ce1ad7ffe93af070c2cbc742400..1f6311a4ba42d23c8378334f87094e325ce1dce9 100644
--- a/input/VO2009Algorithm/acoustic/natural/inversion_lbfgs.txt
+++ b/input/VO2009Algorithm/acoustic/natural/inversion_lbfgs.txt
@@ -1,7 +1,9 @@
-name = inversion_lbfgs
+#name = inversion_lbfgs
#Local minimum search
localminimumsearch = classic
-localminimum_maxIteration = 25
+localminimum_maxIteration = 60
+localminimum_meanRelDecreaseThreshold = 0.001
+localminimum_meanRelDecreaseMemory = 3
#Descent search
descentsearch = lbfgs
descent_memory = 10
diff --git a/input/VO2009Algorithm/acoustic/natural/regularization/lcurve_tik.sh b/input/VO2009Algorithm/acoustic/natural/regularization/lcurve_tik.sh
new file mode 100755
index 0000000000000000000000000000000000000000..31be6becfb99cd321c266d637e082437e5624dc6
--- /dev/null
+++ b/input/VO2009Algorithm/acoustic/natural/regularization/lcurve_tik.sh
@@ -0,0 +1,15 @@
+./inversion ../input/VO2009Algorithm/acoustic/natural/common.txt ../input/VO2009Algorithm/acoustic/natural/inversion.txt ../input/VO2009Algorithm/acoustic/natural/inversion_lbfgs.txt ../input/VO2009Algorithm/acoustic/natural/regularization_tik.txt -verbose 2 -maxThreads 1 -name reg_tik0 -regularization_lambda 6.25
+
+./inversion ../input/VO2009Algorithm/acoustic/natural/common.txt ../input/VO2009Algorithm/acoustic/natural/inversion.txt ../input/VO2009Algorithm/acoustic/natural/inversion_lbfgs.txt ../input/VO2009Algorithm/acoustic/natural/regularization_tik.txt -verbose 2 -maxThreads 1 -name reg_tik1 -regularization_lambda 1.25
+
+./inversion ../input/VO2009Algorithm/acoustic/natural/common.txt ../input/VO2009Algorithm/acoustic/natural/inversion.txt ../input/VO2009Algorithm/acoustic/natural/inversion_lbfgs.txt ../input/VO2009Algorithm/acoustic/natural/regularization_tik.txt -verbose 2 -maxThreads 1 -name reg_tik2 -regularization_lambda 0.25
+
+./inversion ../input/VO2009Algorithm/acoustic/natural/common.txt ../input/VO2009Algorithm/acoustic/natural/inversion.txt ../input/VO2009Algorithm/acoustic/natural/inversion_lbfgs.txt ../input/VO2009Algorithm/acoustic/natural/regularization_tik.txt -verbose 2 -maxThreads 1 -name reg_tik3 -regularization_lambda 0.05
+
+./inversion ../input/VO2009Algorithm/acoustic/natural/common.txt ../input/VO2009Algorithm/acoustic/natural/inversion.txt ../input/VO2009Algorithm/acoustic/natural/inversion_lbfgs.txt ../input/VO2009Algorithm/acoustic/natural/regularization_tik.txt -verbose 2 -maxThreads 1 -name reg_tik4 -regularization_lambda 0.01
+
+./inversion ../input/VO2009Algorithm/acoustic/natural/common.txt ../input/VO2009Algorithm/acoustic/natural/inversion.txt ../input/VO2009Algorithm/acoustic/natural/inversion_lbfgs.txt ../input/VO2009Algorithm/acoustic/natural/regularization_tik.txt -verbose 2 -maxThreads 1 -name reg_tik5 -regularization_lambda 0.002
+
+./inversion ../input/VO2009Algorithm/acoustic/natural/common.txt ../input/VO2009Algorithm/acoustic/natural/inversion.txt ../input/VO2009Algorithm/acoustic/natural/inversion_lbfgs.txt ../input/VO2009Algorithm/acoustic/natural/regularization_tik.txt -verbose 2 -maxThreads 1 -name reg_tik6 -regularization_lambda 0.0004
+
+./inversion ../input/VO2009Algorithm/acoustic/natural/common.txt ../input/VO2009Algorithm/acoustic/natural/inversion.txt ../input/VO2009Algorithm/acoustic/natural/inversion_lbfgs.txt ../input/VO2009Algorithm/acoustic/natural/regularization_tik.txt -verbose 2 -maxThreads 1 -name reg_tik7 -regularization_lambda 0.00008
diff --git a/input/VO2009Algorithm/acoustic/natural/regularization_tik.txt b/input/VO2009Algorithm/acoustic/natural/regularization_tik.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6c47117ea51a9587e3a84164a93ac81dd9522dce
--- /dev/null
+++ b/input/VO2009Algorithm/acoustic/natural/regularization_tik.txt
@@ -0,0 +1,6 @@
+#name = reg_tik
+#Regularization
+regularization = tikhonov
+#regularization_lambda = 0.25
+regularization_integration_degree_blk = 10
+regularization_integration_degree_bnd = 0
diff --git a/input/VO2009Algorithm/acoustic/natural/regularization_tv.txt b/input/VO2009Algorithm/acoustic/natural/regularization_tv.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2df28cc9846c92b9b6f53d307c9a04c077cf6e46
--- /dev/null
+++ b/input/VO2009Algorithm/acoustic/natural/regularization_tv.txt
@@ -0,0 +1,7 @@
+name = reg_tv
+#Regularization
+regularization = totalvariation
+regularization_lambda = 0.002
+regularization_beta = 1e-6
+regularization_integration_degree_blk = 10
+regularization_integration_degree_bnd = 0
diff --git a/input/VO2009Algorithm/acoustic/natural/synthetics.txt b/input/VO2009Algorithm/acoustic/natural/synthetics.txt
index 8ac504a4db942bd4e389057890f79e94d3228221..bfd712418b4d4b7c1fe067dceaf921c947478b0d 100644
--- a/input/VO2009Algorithm/acoustic/natural/synthetics.txt
+++ b/input/VO2009Algorithm/acoustic/natural/synthetics.txt
@@ -14,5 +14,5 @@ Im(mi0c0) = 0.
#Discretization
h = 0.05
#Output
-write_wave_fields = 0
+write_wave_fields = 1
write_data_fields = 1
diff --git a/input/paper2/concrete3/cluster/tik/cluster_inversion_sst_lbfgs_ls_tik0.sh b/input/paper2/concrete3/cluster/tik/cluster_inversion_sst_lbfgs_ls_tik0.sh
new file mode 100644
index 0000000000000000000000000000000000000000..ea4a4a526f63f619db5c0a6e2e3d855ca3bed0d0
--- /dev/null
+++ b/input/paper2/concrete3/cluster/tik/cluster_inversion_sst_lbfgs_ls_tik0.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_sst_lbfgs_ls_tik0
+#SBATCH --output=paper2_concrete3_inversion_sst_lbfgs_ls_tik0.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper2/concrete3/common.txt ../input/paper2/concrete3/inversion.txt ../input/paper2/concrete3/innerproduct_sst_lns2.txt ../input/paper2/concrete3/localminimum_classic.txt ../input/paper2/concrete3/descentsearch_lbfgs_ls.txt ../input/paper2/concrete3/linesearch_unit.txt ../input/paper2/concrete3/regularization_tikhonov.txt -regularization_lambda 1e-4 -verbose 2 -maxThreads 1 -name sst_lbfgs_ls_tik0
diff --git a/input/paper2/concrete3/cluster/tik/cluster_inversion_sst_lbfgs_ls_tik1.sh b/input/paper2/concrete3/cluster/tik/cluster_inversion_sst_lbfgs_ls_tik1.sh
new file mode 100644
index 0000000000000000000000000000000000000000..52218fa46d5eb555e69424aa7bcfc9005bf02182
--- /dev/null
+++ b/input/paper2/concrete3/cluster/tik/cluster_inversion_sst_lbfgs_ls_tik1.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_sst_lbfgs_ls_tik1
+#SBATCH --output=paper2_concrete3_inversion_sst_lbfgs_ls_tik1.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper2/concrete3/common.txt ../input/paper2/concrete3/inversion.txt ../input/paper2/concrete3/innerproduct_sst_lns2.txt ../input/paper2/concrete3/localminimum_classic.txt ../input/paper2/concrete3/descentsearch_lbfgs_ls.txt ../input/paper2/concrete3/linesearch_unit.txt ../input/paper2/concrete3/regularization_tikhonov.txt -regularization_lambda 1e-2 -verbose 2 -maxThreads 1 -name sst_lbfgs_ls_tik1
diff --git a/input/paper2/concrete3/cluster/tik/cluster_inversion_sst_lbfgs_ls_tik2.sh b/input/paper2/concrete3/cluster/tik/cluster_inversion_sst_lbfgs_ls_tik2.sh
new file mode 100644
index 0000000000000000000000000000000000000000..2e1dc5fb23c706042dc769514df32ddf825aae35
--- /dev/null
+++ b/input/paper2/concrete3/cluster/tik/cluster_inversion_sst_lbfgs_ls_tik2.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_sst_lbfgs_ls_tik2
+#SBATCH --output=paper2_concrete3_inversion_sst_lbfgs_ls_tik2.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper2/concrete3/common.txt ../input/paper2/concrete3/inversion.txt ../input/paper2/concrete3/innerproduct_sst_lns2.txt ../input/paper2/concrete3/localminimum_classic.txt ../input/paper2/concrete3/descentsearch_lbfgs_ls.txt ../input/paper2/concrete3/linesearch_unit.txt ../input/paper2/concrete3/regularization_tikhonov.txt -regularization_lambda 0.5 -verbose 2 -maxThreads 1 -name sst_lbfgs_ls_tik2
diff --git a/input/paper2/concrete3/cluster/tik/cluster_inversion_us_lbfgs_ls_tik0.sh b/input/paper2/concrete3/cluster/tik/cluster_inversion_us_lbfgs_ls_tik0.sh
new file mode 100644
index 0000000000000000000000000000000000000000..1f6ad294380aea6576547e38d30319bc25d1ab92
--- /dev/null
+++ b/input/paper2/concrete3/cluster/tik/cluster_inversion_us_lbfgs_ls_tik0.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_us_lbfgs_ls_tik0
+#SBATCH --output=paper2_concrete3_inversion_us_lbfgs_ls_tik0.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper2/concrete3/common.txt ../input/paper2/concrete3/inversion.txt ../input/paper2/concrete3/innerproduct_us_lns2.txt ../input/paper2/concrete3/localminimum_classic.txt ../input/paper2/concrete3/descentsearch_lbfgs_ls.txt ../input/paper2/concrete3/linesearch_unit.txt ../input/paper2/concrete3/regularization_tikhonov.txt -regularization_lambda 1e-4 -verbose 2 -maxThreads 1 -name us_lbfgs_ls_tik0
diff --git a/input/paper2/concrete3/cluster/tik/cluster_inversion_us_lbfgs_ls_tik1.sh b/input/paper2/concrete3/cluster/tik/cluster_inversion_us_lbfgs_ls_tik1.sh
new file mode 100644
index 0000000000000000000000000000000000000000..8750ee9493a48601512cd3a46aa32467deceed6a
--- /dev/null
+++ b/input/paper2/concrete3/cluster/tik/cluster_inversion_us_lbfgs_ls_tik1.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_us_lbfgs_ls_tik1
+#SBATCH --output=paper2_concrete3_inversion_us_lbfgs_ls_tik1.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper2/concrete3/common.txt ../input/paper2/concrete3/inversion.txt ../input/paper2/concrete3/innerproduct_us_lns2.txt ../input/paper2/concrete3/localminimum_classic.txt ../input/paper2/concrete3/descentsearch_lbfgs_ls.txt ../input/paper2/concrete3/linesearch_unit.txt ../input/paper2/concrete3/regularization_tikhonov.txt -regularization_lambda 1e-2 -verbose 2 -maxThreads 1 -name us_lbfgs_ls_tik1
diff --git a/input/paper2/concrete3/cluster/tik/cluster_inversion_us_lbfgs_ls_tik2.sh b/input/paper2/concrete3/cluster/tik/cluster_inversion_us_lbfgs_ls_tik2.sh
new file mode 100644
index 0000000000000000000000000000000000000000..ac375111b7cd72dfb0866b1b38ff10d52d88400c
--- /dev/null
+++ b/input/paper2/concrete3/cluster/tik/cluster_inversion_us_lbfgs_ls_tik2.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_us_lbfgs_ls_tik2
+#SBATCH --output=paper2_concrete3_inversion_us_lbfgs_ls_tik2.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper2/concrete3/common.txt ../input/paper2/concrete3/inversion.txt ../input/paper2/concrete3/innerproduct_us_lns2.txt ../input/paper2/concrete3/localminimum_classic.txt ../input/paper2/concrete3/descentsearch_lbfgs_ls.txt ../input/paper2/concrete3/linesearch_unit.txt ../input/paper2/concrete3/regularization_tikhonov.txt -regularization_lambda 0.5 -verbose 2 -maxThreads 1 -name us_lbfgs_ls_tik2
diff --git a/input/paper2/concrete3/error/ssm_lbfgs_ls_error.txt b/input/paper2/concrete3/error/ssm_lbfgs_ls_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..21e0a64de0eb72cd27b79e74d00d0bfebd40cd78
--- /dev/null
+++ b/input/paper2/concrete3/error/ssm_lbfgs_ls_error.txt
@@ -0,0 +1,15 @@
+name = ssm_lbfgs_ls_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Paper2/extended/concrete3/SSM_LBFGS_LS/
+inverted_model_name = paper2_concrete3_ssm_lbfgs_ls
+inverted_model_prefix = g0s0
+inverted_model_number = 88
+#Output
+write_error_field = 0
diff --git a/input/paper2/concrete3/error/sst_lbfgs_ls_tik1_error.txt b/input/paper2/concrete3/error/sst_lbfgs_ls_tik1_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fa47f99186e181a99b63f5304333d7840831f1bc
--- /dev/null
+++ b/input/paper2/concrete3/error/sst_lbfgs_ls_tik1_error.txt
@@ -0,0 +1,15 @@
+name = sst_lbfgs_ls_tik1_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Paper2/extended/concrete3/SST_LBFGS_LS_TIK/
+inverted_model_name = paper2_concrete3_sst_lbfgs_ls_tik1
+inverted_model_prefix = g0s0
+inverted_model_number = 200
+#Output
+write_error_field = 0
diff --git a/input/paper2/concrete3/error/us_lbfgs_ls_tik1_error.txt b/input/paper2/concrete3/error/us_lbfgs_ls_tik1_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..57cc7f0105a3033d037b8550df2f6dfddd630a9e
--- /dev/null
+++ b/input/paper2/concrete3/error/us_lbfgs_ls_tik1_error.txt
@@ -0,0 +1,15 @@
+name = us_lbfgs_ls_tik1_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Paper2/extended/concrete3/US_LBFGS_LS_TIK/
+inverted_model_name = paper2_concrete3_us_lbfgs_ls_tik1
+inverted_model_prefix = g0s0
+inverted_model_number = 200
+#Output
+write_error_field = 0
diff --git a/input/paper2/concrete3/innerproduct_sst2_lns2.txt b/input/paper2/concrete3/innerproduct_sst2_lns2.txt
index d20e489cc66b8c24e888edf300ecd7f27e774568..86a21e00fa0249f60de6d3c00c0f402ed277186f 100644
--- a/input/paper2/concrete3/innerproduct_sst2_lns2.txt
+++ b/input/paper2/concrete3/innerproduct_sst2_lns2.txt
@@ -7,6 +7,6 @@ scale00 = 0.0
innerproduct = sobolev_l2
innerproduct_weight_bnd = 0.
innerproduct_preconditioner_ref = 0.
-innerproduct_diag_preconditioner = 1
+innerproduct_diag_preconditioner_scale = 1
innerproduct_stabilization = 9.72e6
#stabilization = precond in at v 1 km/s
diff --git a/input/paper2/concrete3/innerproduct_sst_lns2.txt b/input/paper2/concrete3/innerproduct_sst_lns2.txt
index 6c5bfbbeb26971bd0f5d2c48113b1dd6cef09981..c4c4bbc7d9277bf9d8fd83ab46a837c7d376e44b 100644
--- a/input/paper2/concrete3/innerproduct_sst_lns2.txt
+++ b/input/paper2/concrete3/innerproduct_sst_lns2.txt
@@ -1,5 +1,5 @@
#Local minimum search
-localminimum_absDecreaseThreshold = 30.
+#localminimum_absDecreaseThreshold = 30.
#Equation
equation_greenPreconditioner = 0
equation_const_preconditioner = 1.08e6
@@ -9,6 +9,6 @@ scale00 = 0.0
innerproduct = sobolev_l2
innerproduct_weight_bnd = 0.
innerproduct_preconditioner_ref = 0.
-innerproduct_diag_preconditioner = 1
+innerproduct_diag_preconditioner_scale = 1
innerproduct_stabilization = 38000
#stabilization = precond in concrete
diff --git a/input/paper2/concrete3/inversion.txt b/input/paper2/concrete3/inversion.txt
index 845a4231e45c7986eb4bfe80bb8e1cb442f2e138..dc86c5412f37d260b6d84cbda8e443142dcc6d96 100644
--- a/input/paper2/concrete3/inversion.txt
+++ b/input/paper2/concrete3/inversion.txt
@@ -83,5 +83,6 @@ globalminimumsearch = sequentialscale
globalminimum_relDecreaseThreshold = 0.0
#Local minimum search
localminimum_overallRelDecreaseThreshold = 1e-2
+localminimum_maxIteration = 200
localminimum_writeInterval = 1
#
diff --git a/input/paper2/concrete3/regularization_tikhonov.txt b/input/paper2/concrete3/regularization_tikhonov.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ab0c251d88261c3e5225d82512cc2367c3c125fc
--- /dev/null
+++ b/input/paper2/concrete3/regularization_tikhonov.txt
@@ -0,0 +1,4 @@
+#Regularization
+regularization = tikhonov
+regularization_integration_degree_blk = 2
+regularization_integration_degree_bnd = 0
diff --git a/input/paper2/extended/common.txt b/input/paper2/extended/common.txt
index 42ea1a3118820f9a6a3d8ee581955db8f6569e43..8d8545fcb16f5742e29556360a50551dc92e4707 100644
--- a/input/paper2/extended/common.txt
+++ b/input/paper2/extended/common.txt
@@ -4,7 +4,6 @@ configuration = surface_acquisition
#
#Parametrization
parametrization = slowness2_real
-model_reference_frequency = 1.
#
xoffset = 0
Ler = 8.712
diff --git a/input/paper2/extended/innerproduct_sst.txt b/input/paper2/extended/innerproduct_sst.txt
index 19a42e35d1c309430817927ae69c3b713f509afd..5e92c82283fee5a8923dd1a2b0a3208bbbac5701 100644
--- a/input/paper2/extended/innerproduct_sst.txt
+++ b/input/paper2/extended/innerproduct_sst.txt
@@ -2,6 +2,6 @@
scale0 = 0.0
innerproduct = sobolev_l2
innerproduct_weight_bnd = 0.
-innerproduct_diag_preconditioner = 1
+innerproduct_diag_preconditioner_scale = 1
innerproduct_preconditioner_ref0 = 5400
innerproduct_stabilization = 5400
diff --git a/input/paper2/extended/inversion.txt b/input/paper2/extended/inversion.txt
index 78c11cf5bff218022c5b82994d21a12452ac1aee..e3e68cee2d4a732b02d9bba2d37bb55b3b4fed4a 100644
--- a/input/paper2/extended/inversion.txt
+++ b/input/paper2/extended/inversion.txt
@@ -48,5 +48,5 @@ objective = l2distance
#
#Global minimum search
globalminimum_n_scale=1
-globalminimumsearch = sequentialscale
+globalminimumsearch = mono
globalminimum_relDecreaseThreshold = 0.0
diff --git a/input/paper3/concrete3/cluster/df/cluster_inversion_df0_lbfgs_ls_snrm3.sh b/input/paper3/concrete3/cluster/df/cluster_inversion_df0_lbfgs_ls_snrm3.sh
new file mode 100644
index 0000000000000000000000000000000000000000..a564bf54018bcf000970ea5b182ef9076d6e1e6f
--- /dev/null
+++ b/input/paper3/concrete3/cluster/df/cluster_inversion_df0_lbfgs_ls_snrm3.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_df0_lbfgs_ls_snrm3
+#SBATCH --output=paper2_concrete3_inversion_df0_lbfgs_ls_snrm3.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/concrete3/common.txt ../input/paper3/concrete3/inversion.txt ../input/paper3/concrete3/innerproduct_df.txt ../input/paper3/concrete3/localminimum_classic.txt ../input/paper3/concrete3/descentsearch_lbfgs_ls.txt ../input/paper3/concrete3/linesearch_unit.txt ../input/paper3/concrete3/data_snrm3.txt -scale0 0.001 -verbose 2 -maxThreads 1 -name df0_lbfgs_ls_snrm3
diff --git a/input/paper3/concrete3/cluster/df/cluster_inversion_df1_lbfgs_ls_snrm3.sh b/input/paper3/concrete3/cluster/df/cluster_inversion_df1_lbfgs_ls_snrm3.sh
new file mode 100644
index 0000000000000000000000000000000000000000..5b3ec1fdf39fa3b527927173413a5e5ba7f28a83
--- /dev/null
+++ b/input/paper3/concrete3/cluster/df/cluster_inversion_df1_lbfgs_ls_snrm3.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_df1_lbfgs_ls_snrm3
+#SBATCH --output=paper2_concrete3_inversion_df1_lbfgs_ls_snrm3.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/concrete3/common.txt ../input/paper3/concrete3/inversion.txt ../input/paper3/concrete3/innerproduct_df.txt ../input/paper3/concrete3/localminimum_classic.txt ../input/paper3/concrete3/descentsearch_lbfgs_ls.txt ../input/paper3/concrete3/linesearch_unit.txt ../input/paper3/concrete3/data_snrm3.txt -scale0 0.003 -verbose 2 -maxThreads 1 -name df1_lbfgs_ls_snrm3
diff --git a/input/paper3/concrete3/cluster/df/cluster_inversion_df2_lbfgs_ls_snrm3.sh b/input/paper3/concrete3/cluster/df/cluster_inversion_df2_lbfgs_ls_snrm3.sh
new file mode 100644
index 0000000000000000000000000000000000000000..98a092fa7c97c0d6cdffbcd95ea19f76bff914c8
--- /dev/null
+++ b/input/paper3/concrete3/cluster/df/cluster_inversion_df2_lbfgs_ls_snrm3.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_df2_lbfgs_ls_snrm3
+#SBATCH --output=paper2_concrete3_inversion_df2_lbfgs_ls_snrm3.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/concrete3/common.txt ../input/paper3/concrete3/inversion.txt ../input/paper3/concrete3/innerproduct_df.txt ../input/paper3/concrete3/localminimum_classic.txt ../input/paper3/concrete3/descentsearch_lbfgs_ls.txt ../input/paper3/concrete3/linesearch_unit.txt ../input/paper3/concrete3/data_snrm3.txt -scale0 0.005 -verbose 2 -maxThreads 1 -name df2_lbfgs_ls_snrm3
diff --git a/input/paper3/concrete3/cluster/df/cluster_inversion_df3_lbfgs_ls_snrm3.sh b/input/paper3/concrete3/cluster/df/cluster_inversion_df3_lbfgs_ls_snrm3.sh
new file mode 100644
index 0000000000000000000000000000000000000000..8cfee160a5ec21f62da4e612689585f35dace135
--- /dev/null
+++ b/input/paper3/concrete3/cluster/df/cluster_inversion_df3_lbfgs_ls_snrm3.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_df3_lbfgs_ls_snrm3
+#SBATCH --output=paper2_concrete3_inversion_df3_lbfgs_ls_snrm3.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/concrete3/common.txt ../input/paper3/concrete3/inversion.txt ../input/paper3/concrete3/innerproduct_df.txt ../input/paper3/concrete3/localminimum_classic.txt ../input/paper3/concrete3/descentsearch_lbfgs_ls.txt ../input/paper3/concrete3/linesearch_unit.txt ../input/paper3/concrete3/data_snrm3.txt -scale0 0.007 -verbose 2 -maxThreads 1 -name df3_lbfgs_ls_snrm3
diff --git a/input/paper3/concrete3/cluster/df/cluster_inversion_df4_lbfgs_ls_snrm3.sh b/input/paper3/concrete3/cluster/df/cluster_inversion_df4_lbfgs_ls_snrm3.sh
new file mode 100644
index 0000000000000000000000000000000000000000..537c2775f6a178f864d9a01393faa77bbd2ca4f4
--- /dev/null
+++ b/input/paper3/concrete3/cluster/df/cluster_inversion_df4_lbfgs_ls_snrm3.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_df4_lbfgs_ls_snrm3
+#SBATCH --output=paper2_concrete3_inversion_df4_lbfgs_ls_snrm3.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/concrete3/common.txt ../input/paper3/concrete3/inversion.txt ../input/paper3/concrete3/innerproduct_df.txt ../input/paper3/concrete3/localminimum_classic.txt ../input/paper3/concrete3/descentsearch_lbfgs_ls.txt ../input/paper3/concrete3/linesearch_unit.txt ../input/paper3/concrete3/data_snrm3.txt -scale0 0.009 -verbose 2 -maxThreads 1 -name df4_lbfgs_ls_snrm3
diff --git a/input/paper3/concrete3/cluster/df/cluster_inversion_df5_lbfgs_ls_snrm3.sh b/input/paper3/concrete3/cluster/df/cluster_inversion_df5_lbfgs_ls_snrm3.sh
new file mode 100644
index 0000000000000000000000000000000000000000..4144e9d5d2c20cfd53dc36b15fd9a0b08b044b30
--- /dev/null
+++ b/input/paper3/concrete3/cluster/df/cluster_inversion_df5_lbfgs_ls_snrm3.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_df5_lbfgs_ls_snrm3
+#SBATCH --output=paper2_concrete3_inversion_df5_lbfgs_ls_snrm3.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/concrete3/common.txt ../input/paper3/concrete3/inversion.txt ../input/paper3/concrete3/innerproduct_df.txt ../input/paper3/concrete3/localminimum_classic.txt ../input/paper3/concrete3/descentsearch_lbfgs_ls.txt ../input/paper3/concrete3/linesearch_unit.txt ../input/paper3/concrete3/data_snrm3.txt -scale0 0.011 -verbose 2 -maxThreads 1 -name df5_lbfgs_ls_snrm3
diff --git a/input/paper3/concrete3/cluster/df_tv/cluster_inversion_df_lbfgs_ls_snrm3_tv.sh b/input/paper3/concrete3/cluster/df_tv/cluster_inversion_df_lbfgs_ls_snrm3_tv.sh
new file mode 100644
index 0000000000000000000000000000000000000000..c4e68a00281c590b80a284b2bc8e51177c238c85
--- /dev/null
+++ b/input/paper3/concrete3/cluster/df_tv/cluster_inversion_df_lbfgs_ls_snrm3_tv.sh
@@ -0,0 +1,14 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_df_lbfgs_ls_snrm3_tv
+#SBATCH --output=paper2_concrete3_inversion_df_lbfgs_ls_snrm3_tv.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=12000
+#
+#SBATCH --array=9-10
+
+ARGS_R=( 1e2 1.5e2 2.5e2 3.75e2 5e2 1. 10. 1e3 1e4 0.1 1e-2)
+
+time ./inversion ../input/paper3/concrete3/common.txt ../input/paper3/concrete3/inversion.txt ../input/paper3/concrete3/innerproduct_df.txt ../input/paper3/concrete3/localminimum_classic.txt ../input/paper3/concrete3/descentsearch_lbfgs_ls.txt ../input/paper3/concrete3/linesearch_unit.txt ../input/paper3/concrete3/data_snrm3.txt ../input/paper3/concrete3/regularization_totalvariation.txt -verbose 2 -maxThreads 1 -regularization_lambda ${ARGS_R[$SLURM_ARRAY_TASK_ID]} -scale0 0.005 -name df_lbfgs_ls_snrm3_tv$SLURM_ARRAY_TASK_ID
diff --git a/input/paper3/concrete3/cluster/ssm/cluster_inversion_ssm0_lbfgs_ls_snrm3.sh b/input/paper3/concrete3/cluster/ssm/cluster_inversion_ssm0_lbfgs_ls_snrm3.sh
new file mode 100644
index 0000000000000000000000000000000000000000..f8db08379f76c9e6587debac2b3130760f85df4f
--- /dev/null
+++ b/input/paper3/concrete3/cluster/ssm/cluster_inversion_ssm0_lbfgs_ls_snrm3.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_ssm0_lbfgs_ls_snrm3
+#SBATCH --output=paper2_concrete3_inversion_ssm0_lbfgs_ls_snrm3.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/concrete3/common.txt ../input/paper3/concrete3/inversion.txt ../input/paper3/concrete3/innerproduct_ssm.txt ../input/paper3/concrete3/localminimum_classic.txt ../input/paper3/concrete3/descentsearch_lbfgs_ls.txt ../input/paper3/concrete3/linesearch_unit.txt ../input/paper3/concrete3/data_snrm3.txt -scale0 0.001 -verbose 2 -maxThreads 1 -name ssm0_lbfgs_ls_snrm3
diff --git a/input/paper3/concrete3/cluster/ssm/cluster_inversion_ssm1_lbfgs_ls_snrm3.sh b/input/paper3/concrete3/cluster/ssm/cluster_inversion_ssm1_lbfgs_ls_snrm3.sh
new file mode 100644
index 0000000000000000000000000000000000000000..94b8211f6e3d0496c3154dd4a4cbd86ac52a12ab
--- /dev/null
+++ b/input/paper3/concrete3/cluster/ssm/cluster_inversion_ssm1_lbfgs_ls_snrm3.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_ssm1_lbfgs_ls_snrm3
+#SBATCH --output=paper2_concrete3_inversion_ssm1_lbfgs_ls_snrm3.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/concrete3/common.txt ../input/paper3/concrete3/inversion.txt ../input/paper3/concrete3/innerproduct_ssm.txt ../input/paper3/concrete3/localminimum_classic.txt ../input/paper3/concrete3/descentsearch_lbfgs_ls.txt ../input/paper3/concrete3/linesearch_unit.txt ../input/paper3/concrete3/data_snrm3.txt -scale0 0.003 -verbose 2 -maxThreads 1 -name ssm1_lbfgs_ls_snrm3
diff --git a/input/paper3/concrete3/cluster/ssm/cluster_inversion_ssm2_lbfgs_ls_snrm3.sh b/input/paper3/concrete3/cluster/ssm/cluster_inversion_ssm2_lbfgs_ls_snrm3.sh
new file mode 100644
index 0000000000000000000000000000000000000000..1d7ba1fec3bff63d34a815a4db9a4423306ebde9
--- /dev/null
+++ b/input/paper3/concrete3/cluster/ssm/cluster_inversion_ssm2_lbfgs_ls_snrm3.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_ssm2_lbfgs_ls_snrm3
+#SBATCH --output=paper2_concrete3_inversion_ssm2_lbfgs_ls_snrm3.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/concrete3/common.txt ../input/paper3/concrete3/inversion.txt ../input/paper3/concrete3/innerproduct_ssm.txt ../input/paper3/concrete3/localminimum_classic.txt ../input/paper3/concrete3/descentsearch_lbfgs_ls.txt ../input/paper3/concrete3/linesearch_unit.txt ../input/paper3/concrete3/data_snrm3.txt -scale0 0.005 -verbose 2 -maxThreads 1 -name ssm2_lbfgs_ls_snrm3
diff --git a/input/paper3/concrete3/cluster/ssm/cluster_inversion_ssm3_lbfgs_ls_snrm3.sh b/input/paper3/concrete3/cluster/ssm/cluster_inversion_ssm3_lbfgs_ls_snrm3.sh
new file mode 100644
index 0000000000000000000000000000000000000000..f6c23d91a30866dfef4757e2787484b251d7c6bc
--- /dev/null
+++ b/input/paper3/concrete3/cluster/ssm/cluster_inversion_ssm3_lbfgs_ls_snrm3.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_ssm3_lbfgs_ls_snrm3
+#SBATCH --output=paper2_concrete3_inversion_ssm3_lbfgs_ls_snrm3.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/concrete3/common.txt ../input/paper3/concrete3/inversion.txt ../input/paper3/concrete3/innerproduct_ssm.txt ../input/paper3/concrete3/localminimum_classic.txt ../input/paper3/concrete3/descentsearch_lbfgs_ls.txt ../input/paper3/concrete3/linesearch_unit.txt ../input/paper3/concrete3/data_snrm3.txt -scale0 0.007 -verbose 2 -maxThreads 1 -name ssm3_lbfgs_ls_snrm3
diff --git a/input/paper3/concrete3/cluster/ssm/cluster_inversion_ssm4_lbfgs_ls_snrm3.sh b/input/paper3/concrete3/cluster/ssm/cluster_inversion_ssm4_lbfgs_ls_snrm3.sh
new file mode 100644
index 0000000000000000000000000000000000000000..c27ecb68ca3108e143ebfdc5b348683e7d94c8c7
--- /dev/null
+++ b/input/paper3/concrete3/cluster/ssm/cluster_inversion_ssm4_lbfgs_ls_snrm3.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_ssm4_lbfgs_ls_snrm3
+#SBATCH --output=paper2_concrete3_inversion_ssm4_lbfgs_ls_snrm3.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/concrete3/common.txt ../input/paper3/concrete3/inversion.txt ../input/paper3/concrete3/innerproduct_ssm.txt ../input/paper3/concrete3/localminimum_classic.txt ../input/paper3/concrete3/descentsearch_lbfgs_ls.txt ../input/paper3/concrete3/linesearch_unit.txt ../input/paper3/concrete3/data_snrm3.txt -scale0 0.009 -verbose 2 -maxThreads 1 -name ssm4_lbfgs_ls_snrm3
diff --git a/input/paper3/concrete3/cluster/ssm_tik/cluster_inversion_ssm_lbfgs_ls_snrm2_tik.sh b/input/paper3/concrete3/cluster/ssm_tik/cluster_inversion_ssm_lbfgs_ls_snrm2_tik.sh
new file mode 100644
index 0000000000000000000000000000000000000000..5137f0d3431396be5d6cf9e258f4c9333b83fbd9
--- /dev/null
+++ b/input/paper3/concrete3/cluster/ssm_tik/cluster_inversion_ssm_lbfgs_ls_snrm2_tik.sh
@@ -0,0 +1,14 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_ssm_lbfgs_ls_snrm3_tik
+#SBATCH --output=paper2_concrete3_inversion_ssm_lbfgs_ls_snrm3_tik.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1100:00
+#SBATCH --mem-per-cpu=13000
+#
+#SBATCH --array=4-4
+
+ARGS_R=( 1e-4 1e-3 0.005 0.025 0.05 0.1 0.25 0.5 1e-5 1e-6 1e-7)
+
+time ./inversion ../input/paper3/concrete3/common.txt ../input/paper3/concrete3/inversion.txt ../input/paper3/concrete3/innerproduct_ssm.txt ../input/paper3/concrete3/localminimum_classic.txt ../input/paper3/concrete3/descentsearch_lbfgs_ls.txt ../input/paper3/concrete3/linesearch_unit.txt ../input/paper3/concrete3/data_snrm3.txt ../input/paper3/concrete3/regularization_tikhonov.txt -verbose 2 -maxThreads 1 -regularization_lambda ${ARGS_R[$SLURM_ARRAY_TASK_ID]} -scale0 0.005 -name ssm_lbfgs_ls_snrm3_tik$SLURM_ARRAY_TASK_ID
diff --git a/input/paper3/concrete3/cluster/tik/cluster_inversion_sst_lbfgs_ls_snrm2_tik.sh b/input/paper3/concrete3/cluster/tik/cluster_inversion_sst_lbfgs_ls_snrm2_tik.sh
new file mode 100644
index 0000000000000000000000000000000000000000..3bcbb310190ddd2b73728b87c4cb7e8c561d7b9d
--- /dev/null
+++ b/input/paper3/concrete3/cluster/tik/cluster_inversion_sst_lbfgs_ls_snrm2_tik.sh
@@ -0,0 +1,14 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_sst_lbfgs_ls_snrm3_tik
+#SBATCH --output=paper2_concrete3_inversion_sst_lbfgs_ls_snrm3_tik.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=16000
+#
+#SBATCH --array=0-7
+
+ARGS_R=( 1e-4 1e-3 0.005 0.025 0.05 0.1 0.25 0.5 )
+
+time ./inversion ../input/paper3/concrete3/common.txt ../input/paper3/concrete3/inversion.txt ../input/paper3/concrete3/innerproduct_sst.txt ../input/paper3/concrete3/localminimum_classic.txt ../input/paper3/concrete3/descentsearch_lbfgs_ls.txt ../input/paper3/concrete3/linesearch_unit.txt ../input/paper3/concrete3/data_snrm3.txt ../input/paper3/concrete3/regularization_tikhonov.txt -verbose 2 -maxThreads 1 -regularization_lambda ${ARGS_R[$SLURM_ARRAY_TASK_ID]} -name sst_lbfgs_ls_snrm3_tik$SLURM_ARRAY_TASK_ID
diff --git a/input/paper3/concrete3/cluster/tv/cluster_inversion_sst_lbfgs_ls_snrm2_tv.sh b/input/paper3/concrete3/cluster/tv/cluster_inversion_sst_lbfgs_ls_snrm2_tv.sh
new file mode 100644
index 0000000000000000000000000000000000000000..a3adecd10f75a14c3206d20b12925abbfddaaa13
--- /dev/null
+++ b/input/paper3/concrete3/cluster/tv/cluster_inversion_sst_lbfgs_ls_snrm2_tv.sh
@@ -0,0 +1,14 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_concrete3_inversion_sst_lbfgs_ls_snrm3_tv
+#SBATCH --output=paper2_concrete3_inversion_sst_lbfgs_ls_snrm3_tv.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=13000
+#
+#SBATCH --array=6-7
+
+ARGS_R=( 1e2 1.5e2 2.5e2 3.75e2 5e2 1e3 1e4 10.)
+
+time ./inversion ../input/paper3/concrete3/common.txt ../input/paper3/concrete3/inversion.txt ../input/paper3/concrete3/innerproduct_sst.txt ../input/paper3/concrete3/localminimum_classic.txt ../input/paper3/concrete3/descentsearch_lbfgs_ls.txt ../input/paper3/concrete3/linesearch_unit.txt ../input/paper3/concrete3/data_snrm3.txt ../input/paper3/concrete3/regularization_totalvariation.txt -verbose 2 -maxThreads 1 -regularization_lambda ${ARGS_R[$SLURM_ARRAY_TASK_ID]} -name sst_lbfgs_ls_snrm3_tv$SLURM_ARRAY_TASK_ID
diff --git a/input/paper3/concrete3/common.txt b/input/paper3/concrete3/common.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a862c102dc9292e9dedfed9c4cf0e26f9dc2903c
--- /dev/null
+++ b/input/paper3/concrete3/common.txt
@@ -0,0 +1,67 @@
+prename = paper2_concrete3_
+#Configuration
+configuration = rectangular_acquisition
+#
+#Parametrization
+parametrization = ln_slowness2_real
+#
+#Equation
+physic = acoustic
+equation = simplewave
+#
+L = 0.0312
+H = 0.0042
+Ler = 0.03
+Her = 0.003
+hx = 0.00015
+hy = 0.00015
+em_offset = 0
+em_step = 1
+#em_offset = 101
+#em_step = 442
+re_offset = 0
+re_step = 1
+exclude_bottom_points = 1
+n_excluded_points = 12
+p_ex0 = 329
+p_ex1 = 330
+p_ex2 = 331
+p_ex3 = 332
+p_ex4 = 333
+p_ex5 = 334
+p_ex6 = 349
+p_ex7 = 350
+p_ex8 = 351
+p_ex9 = 352
+p_ex10 = 353
+p_ex11 = 354
+ReceiverOnEmitter=0
+#
+Re(mbc0) = 2.4079
+Im(mbc0) = 0.
+#
+#Discretization
+integration_type = Gauss
+#Wave
+wave_FunctionSpaceType = HierarchicalH1
+#
+#Frequencies
+n_freq = 9
+#Frequency0
+frequency0 = 100.
+#Frequency1
+frequency1 = 125.
+#Frequency2
+frequency2 = 150.
+#Frequency3
+frequency3= 175.
+#Frequency4
+frequency4 = 200.
+#Frequency5
+frequency5 = 225.
+#Frequency6
+frequency6 = 250.
+#Frequency7
+frequency7 = 275.
+#Frequency8
+frequency8 = 300.
diff --git a/input/paper3/concrete3/data_snrm3.txt b/input/paper3/concrete3/data_snrm3.txt
new file mode 100644
index 0000000000000000000000000000000000000000..77841a69bb0ece411ad32899ca1dc7abde701139
--- /dev/null
+++ b/input/paper3/concrete3/data_snrm3.txt
@@ -0,0 +1,2 @@
+#Data
+data = paper2_concrete3_synthetics_data_snrm3f
diff --git a/input/paper3/marmousi/descentsearch_lbfgs_tr.txt b/input/paper3/concrete3/descentsearch_lbfgs_ls.txt
similarity index 59%
rename from input/paper3/marmousi/descentsearch_lbfgs_tr.txt
rename to input/paper3/concrete3/descentsearch_lbfgs_ls.txt
index d7ed7b27abea822155b5b5304685465f60a6e9de..eef64fab3bdfe9c0fd75abeea3398fc956901bd2 100644
--- a/input/paper3/marmousi/descentsearch_lbfgs_tr.txt
+++ b/input/paper3/concrete3/descentsearch_lbfgs_ls.txt
@@ -1,3 +1,3 @@
#Descent search
-descentsearch = lbfgs_tr
+descentsearch = lbfgs
descent_memory = 10
diff --git a/input/paper3/concrete3/error/df/df0_lbfgs_ls_snrm3_error.txt b/input/paper3/concrete3/error/df/df0_lbfgs_ls_snrm3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8904b0b1e83548aa7938efb45c8a5d3f24a3315f
--- /dev/null
+++ b/input/paper3/concrete3/error/df/df0_lbfgs_ls_snrm3_error.txt
@@ -0,0 +1,15 @@
+name = df0_lbfgs_ls_snrm3_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC2/SNRM3/DF_LBFGS_LS/
+inverted_model_name = paper2_concrete3_df0_lbfgs_ls_snrm3
+inverted_model_prefix = g0s0
+inverted_model_number = 200
+#Output
+write_error_field = 0
diff --git a/input/paper3/concrete3/error/df/df1_lbfgs_ls_snrm3_error.txt b/input/paper3/concrete3/error/df/df1_lbfgs_ls_snrm3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0e0dc25c227a8496d1aafeb3b69a4a49a7aea94c
--- /dev/null
+++ b/input/paper3/concrete3/error/df/df1_lbfgs_ls_snrm3_error.txt
@@ -0,0 +1,15 @@
+name = df1_lbfgs_ls_snrm3_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC2/SNRM3/DF_LBFGS_LS/
+inverted_model_name = paper2_concrete3_df1_lbfgs_ls_snrm3
+inverted_model_prefix = g0s0
+inverted_model_number = 193
+#Output
+write_error_field = 0
diff --git a/input/paper3/concrete3/error/df/df2_lbfgs_ls_snrm3_error.txt b/input/paper3/concrete3/error/df/df2_lbfgs_ls_snrm3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2be2c4f0b402fd556322e42ff4a87eb3bd1595a4
--- /dev/null
+++ b/input/paper3/concrete3/error/df/df2_lbfgs_ls_snrm3_error.txt
@@ -0,0 +1,15 @@
+name = df2_lbfgs_ls_snrm3_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC2/SNRM3/DF_LBFGS_LS/
+inverted_model_name = paper2_concrete3_df2_lbfgs_ls_snrm3
+inverted_model_prefix = g0s0
+inverted_model_number = 250
+#Output
+write_error_field = 0
diff --git a/input/paper3/concrete3/error/df/df3_lbfgs_ls_snrm3_error.txt b/input/paper3/concrete3/error/df/df3_lbfgs_ls_snrm3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..711b9ded8842942c47a096a3ba020a561829e35e
--- /dev/null
+++ b/input/paper3/concrete3/error/df/df3_lbfgs_ls_snrm3_error.txt
@@ -0,0 +1,15 @@
+name = df3_lbfgs_ls_snrm3_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC2/SNRM3/DF_LBFGS_LS/
+inverted_model_name = paper2_concrete3_df3_lbfgs_ls_snrm3
+inverted_model_prefix = g0s0
+inverted_model_number = 250
+#Output
+write_error_field = 0
diff --git a/input/paper3/concrete3/error/df/df4_lbfgs_ls_snrm3_error.txt b/input/paper3/concrete3/error/df/df4_lbfgs_ls_snrm3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d9e46c6f3b651ef7a841ad7894b327705c596fe8
--- /dev/null
+++ b/input/paper3/concrete3/error/df/df4_lbfgs_ls_snrm3_error.txt
@@ -0,0 +1,15 @@
+name = df4_lbfgs_ls_snrm3_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC2/SNRM3/DF_LBFGS_LS/
+inverted_model_name = paper2_concrete3_df4_lbfgs_ls_snrm3
+inverted_model_prefix = g0s0
+inverted_model_number = 250
+#Output
+write_error_field = 0
diff --git a/input/paper3/concrete3/error/df/df5_lbfgs_ls_snrm3_error.txt b/input/paper3/concrete3/error/df/df5_lbfgs_ls_snrm3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c4195b5eda3eafece380f4e7409f52d8d71f8737
--- /dev/null
+++ b/input/paper3/concrete3/error/df/df5_lbfgs_ls_snrm3_error.txt
@@ -0,0 +1,15 @@
+name = df5_lbfgs_ls_snrm3_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC2/SNRM3/DF_LBFGS_LS/
+inverted_model_name = paper2_concrete3_df5_lbfgs_ls_snrm3
+inverted_model_prefix = g0s0
+inverted_model_number = 250
+#Output
+write_error_field = 0
diff --git a/input/paper3/concrete3/error/df_tv/df_lbfgs_ls_snrm3_tv_error.txt b/input/paper3/concrete3/error/df_tv/df_lbfgs_ls_snrm3_tv_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..608ea4a5e1507af5e867b60b26cada096df360a5
--- /dev/null
+++ b/input/paper3/concrete3/error/df_tv/df_lbfgs_ls_snrm3_tv_error.txt
@@ -0,0 +1,25 @@
+name = df_lbfgs_ls_snrm3_tv_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC2/SNRM3/DF_LBFGS_LS_TV/
+inverted_model_number = 10
+inverted_model_list = 1
+inverted_model_name0 = paper2_concrete3_df_lbfgs_ls_snrm3_tv0_mg0
+inverted_model_name1 = paper2_concrete3_df_lbfgs_ls_snrm3_tv1_mg0
+inverted_model_name2 = paper2_concrete3_df_lbfgs_ls_snrm3_tv2_mg0
+inverted_model_name3 = paper2_concrete3_df_lbfgs_ls_snrm3_tv3_mg0
+inverted_model_name4 = paper2_concrete3_df_lbfgs_ls_snrm3_tv4_mg0
+inverted_model_name5 = paper2_concrete3_df_lbfgs_ls_snrm3_tv5_mg0
+inverted_model_name6 = paper2_concrete3_df_lbfgs_ls_snrm3_tv6_mg0
+inverted_model_name7 = paper2_concrete3_df_lbfgs_ls_snrm3_tv7_mg0
+inverted_model_name8 = paper2_concrete3_df_lbfgs_ls_snrm3_tv8_mg0
+inverted_model_name9 = paper2_concrete3_df_lbfgs_ls_snrm3_tv9_mg0
+inverted_model_name10 = paper2_concrete3_df_lbfgs_ls_snrm3_tv10_mg0
+#Output
+write_error_field = 0
diff --git a/input/paper3/concrete3/error/ssm/ssm0_lbfgs_ls_snrm3_error.txt b/input/paper3/concrete3/error/ssm/ssm0_lbfgs_ls_snrm3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..098fd2231fe6058107ddee1acecafb449bfd0cdd
--- /dev/null
+++ b/input/paper3/concrete3/error/ssm/ssm0_lbfgs_ls_snrm3_error.txt
@@ -0,0 +1,15 @@
+name = ssm0_lbfgs_ls_snrm3_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC2/SNRM3/SSM_LBFGS_LS/
+inverted_model_name = paper2_concrete3_ssm0_lbfgs_ls_snrm3
+inverted_model_prefix = g0s0
+inverted_model_number = 151
+#Output
+write_error_field = 0
diff --git a/input/paper3/concrete3/error/ssm/ssm1_lbfgs_ls_snrm3_error.txt b/input/paper3/concrete3/error/ssm/ssm1_lbfgs_ls_snrm3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7550beb3ee5b25217f5dc8007bf249f1e99a50e4
--- /dev/null
+++ b/input/paper3/concrete3/error/ssm/ssm1_lbfgs_ls_snrm3_error.txt
@@ -0,0 +1,15 @@
+name = ssm1_lbfgs_ls_snrm3_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC2/SNRM3/SSM_LBFGS_LS/
+inverted_model_name = paper2_concrete3_ssm1_lbfgs_ls_snrm3
+inverted_model_prefix = g0s0
+inverted_model_number = 250
+#Output
+write_error_field = 0
diff --git a/input/paper3/concrete3/error/ssm/ssm2_lbfgs_ls_snrm3_error.txt b/input/paper3/concrete3/error/ssm/ssm2_lbfgs_ls_snrm3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2dd8f5d14b5825099b5d87c94e1f11d6325986c8
--- /dev/null
+++ b/input/paper3/concrete3/error/ssm/ssm2_lbfgs_ls_snrm3_error.txt
@@ -0,0 +1,15 @@
+name = ssm2_lbfgs_ls_snrm3_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC2/SNRM3/SSM_LBFGS_LS/
+inverted_model_name = paper2_concrete3_ssm2_lbfgs_ls_snrm3
+inverted_model_prefix = g0s0
+inverted_model_number = 250
+#Output
+write_error_field = 0
diff --git a/input/paper3/concrete3/error/ssm/ssm3_lbfgs_ls_snrm3_error.txt b/input/paper3/concrete3/error/ssm/ssm3_lbfgs_ls_snrm3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9adbd99ed758a3be4fdb1816c9efffe24a463308
--- /dev/null
+++ b/input/paper3/concrete3/error/ssm/ssm3_lbfgs_ls_snrm3_error.txt
@@ -0,0 +1,15 @@
+name = ssm3_lbfgs_ls_snrm3_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC2/SNRM3/SSM_LBFGS_LS/
+inverted_model_name = paper2_concrete3_ssm3_lbfgs_ls_snrm3
+inverted_model_prefix = g0s0
+inverted_model_number = 250
+#Output
+write_error_field = 0
diff --git a/input/paper3/concrete3/error/ssm/ssm4_lbfgs_ls_snrm3_error.txt b/input/paper3/concrete3/error/ssm/ssm4_lbfgs_ls_snrm3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..149e28a8ea41aa6760febf56f2a5650a2b16abdd
--- /dev/null
+++ b/input/paper3/concrete3/error/ssm/ssm4_lbfgs_ls_snrm3_error.txt
@@ -0,0 +1,15 @@
+name = ssm4_lbfgs_ls_snrm3_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC2/SNRM3/SSM_LBFGS_LS/
+inverted_model_name = paper2_concrete3_ssm4_lbfgs_ls_snrm3
+inverted_model_prefix = g0s0
+inverted_model_number = 250
+#Output
+write_error_field = 0
diff --git a/input/paper3/concrete3/error/ssm/ssm5_lbfgs_ls_snrm3_error.txt b/input/paper3/concrete3/error/ssm/ssm5_lbfgs_ls_snrm3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8ba0a9959c618d87b0c66e760a0520f221169d70
--- /dev/null
+++ b/input/paper3/concrete3/error/ssm/ssm5_lbfgs_ls_snrm3_error.txt
@@ -0,0 +1,15 @@
+name = ssm5_lbfgs_ls_snrm3_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC2/SNRM3/SSM_LBFGS_LS/
+inverted_model_name = paper2_concrete3_ssm5_lbfgs_ls_snrm3
+inverted_model_prefix = g0s0
+inverted_model_number = 250
+#Output
+write_error_field = 0
diff --git a/input/paper3/concrete3/error/ssm_tik/ssm_lbfgs_ls_snrm3_tik_error.txt b/input/paper3/concrete3/error/ssm_tik/ssm_lbfgs_ls_snrm3_tik_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f174af78dbd3cd6f65c187736863ae986f2f4db9
--- /dev/null
+++ b/input/paper3/concrete3/error/ssm_tik/ssm_lbfgs_ls_snrm3_tik_error.txt
@@ -0,0 +1,25 @@
+name = ssm_lbfgs_ls_snrm3_tik_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC2/SNRM3/SSM_LBFGS_LS_TIK/
+inverted_model_number = 10
+inverted_model_list = 1
+inverted_model_name0 = paper2_concrete3_ssm_lbfgs_ls_snrm3_tik0_mg0
+inverted_model_name1 = paper2_concrete3_ssm_lbfgs_ls_snrm3_tik1_mg0
+inverted_model_name2 = paper2_concrete3_ssm_lbfgs_ls_snrm3_tik2_mg0
+inverted_model_name3 = paper2_concrete3_ssm_lbfgs_ls_snrm3_tik3_mg0
+inverted_model_name4 = paper2_concrete3_ssm_lbfgs_ls_snrm3_tik4_mg0
+inverted_model_name5 = paper2_concrete3_ssm_lbfgs_ls_snrm3_tik5_mg0
+inverted_model_name6 = paper2_concrete3_ssm_lbfgs_ls_snrm3_tik6_mg0
+inverted_model_name7 = paper2_concrete3_ssm_lbfgs_ls_snrm3_tik7_mg0
+inverted_model_name8 = paper2_concrete3_ssm_lbfgs_ls_snrm3_tik8_mg0
+inverted_model_name9 = paper2_concrete3_ssm_lbfgs_ls_snrm3_tik9_mg0
+inverted_model_name10 = paper2_concrete3_ssm_lbfgs_ls_snrm3_tik10_mg0
+#Output
+write_error_field = 0
diff --git a/input/paper3/concrete3/error/tik/sst_lbfgs_ls_snrm3_tik_error.txt b/input/paper3/concrete3/error/tik/sst_lbfgs_ls_snrm3_tik_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..df82d609fcdfb4a89518ecc495b4f22a6c1b37b4
--- /dev/null
+++ b/input/paper3/concrete3/error/tik/sst_lbfgs_ls_snrm3_tik_error.txt
@@ -0,0 +1,22 @@
+name = sst_lbfgs_ls_snrm3_tik_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC2/SNRM3/SST_LBFGS_LS_TIK/
+inverted_model_number = 7
+inverted_model_list = 1
+inverted_model_name0 = paper2_concrete3_sst_lbfgs_ls_snrm3_tik0_mg0
+inverted_model_name1 = paper2_concrete3_sst_lbfgs_ls_snrm3_tik1_mg0
+inverted_model_name2 = paper2_concrete3_sst_lbfgs_ls_snrm3_tik2_mg0
+inverted_model_name3 = paper2_concrete3_sst_lbfgs_ls_snrm3_tik3_mg0
+inverted_model_name4 = paper2_concrete3_sst_lbfgs_ls_snrm3_tik4_mg0
+inverted_model_name5 = paper2_concrete3_sst_lbfgs_ls_snrm3_tik5_mg0
+inverted_model_name6 = paper2_concrete3_sst_lbfgs_ls_snrm3_tik6_mg0
+inverted_model_name7 = paper2_concrete3_sst_lbfgs_ls_snrm3_tik7_mg0
+#Output
+write_error_field = 0
diff --git a/input/paper3/concrete3/error/tv/sst_lbfgs_ls_snrm3_tv_error.txt b/input/paper3/concrete3/error/tv/sst_lbfgs_ls_snrm3_tv_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f1923f7993bdd0db765030dbe514f18e1224da5c
--- /dev/null
+++ b/input/paper3/concrete3/error/tv/sst_lbfgs_ls_snrm3_tv_error.txt
@@ -0,0 +1,22 @@
+name = sst_lbfgs_ls_snrm3_tv_error
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#Error
+error_type = exp_relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC2/SNRM3/SST_LBFGS_LS_TV/
+inverted_model_number = 7
+inverted_model_list = 1
+inverted_model_name0 = paper2_concrete3_sst_lbfgs_ls_snrm3_tv0_mg0
+inverted_model_name1 = paper2_concrete3_sst_lbfgs_ls_snrm3_tv1_mg0
+inverted_model_name2 = paper2_concrete3_sst_lbfgs_ls_snrm3_tv2_mg0
+inverted_model_name3 = paper2_concrete3_sst_lbfgs_ls_snrm3_tv3_mg0
+inverted_model_name4 = paper2_concrete3_sst_lbfgs_ls_snrm3_tv4_mg0
+inverted_model_name5 = paper2_concrete3_sst_lbfgs_ls_snrm3_tv5_mg0
+inverted_model_name6 = paper2_concrete3_sst_lbfgs_ls_snrm3_tv6_mg0
+inverted_model_name7 = paper2_concrete3_sst_lbfgs_ls_snrm3_tv7_mg0
+#Output
+write_error_field = 0
diff --git a/input/paper3/concrete3/innerproduct_df.txt b/input/paper3/concrete3/innerproduct_df.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d52ee0243de2933cf47c77c277d031182857f7ea
--- /dev/null
+++ b/input/paper3/concrete3/innerproduct_df.txt
@@ -0,0 +1,10 @@
+#Inner product
+#
+innerproduct = sobolev_df
+innerproduct_weight_bnd = 0.
+innerproduct_diag_preconditioner_smooth = 0
+innerproduct_diag_preconditioner_scale = 0
+innerproduct_preconditioner_ref = 1.2e9
+#ref = precond in at v = 0.3 km/s
+innerproduct_beta = 300.0
+innerproduct_scale_structure = 0.0005
diff --git a/input/paper3/concrete3/innerproduct_ssm.txt b/input/paper3/concrete3/innerproduct_ssm.txt
new file mode 100644
index 0000000000000000000000000000000000000000..536aba8f502a7ed775c68dd4b95e741fd37b44b2
--- /dev/null
+++ b/input/paper3/concrete3/innerproduct_ssm.txt
@@ -0,0 +1,8 @@
+#Inner product
+#
+innerproduct = sobolev_l2
+innerproduct_weight_bnd = 0.
+innerproduct_diag_preconditioner_smooth = 0
+innerproduct_diag_preconditioner_scale = 0
+innerproduct_preconditioner_ref = 1.2e9
+#ref = precond in at v = 0.3 km/s
diff --git a/input/paper3/concrete3/innerproduct_sst.txt b/input/paper3/concrete3/innerproduct_sst.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4c8fb01e23887d7102fabf719569821311069943
--- /dev/null
+++ b/input/paper3/concrete3/innerproduct_sst.txt
@@ -0,0 +1,8 @@
+#Inner product
+scale0 = 0.0
+innerproduct = sobolev_l2
+innerproduct_weight_bnd = 0.
+innerproduct_diag_preconditioner_smooth = 0
+innerproduct_diag_preconditioner_scale = 0
+innerproduct_preconditioner_ref = 1.2e9
+#ref = precond in at v = 0.3 km/s
diff --git a/input/paper3/concrete3/inversion.txt b/input/paper3/concrete3/inversion.txt
new file mode 100644
index 0000000000000000000000000000000000000000..25f3f53258c0e5bb7e4282605ea4a284f8d53ff0
--- /dev/null
+++ b/input/paper3/concrete3/inversion.txt
@@ -0,0 +1,70 @@
+#
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/paper3/concrete3/large_concrete_lns2_initial
+#
+#Equation
+equation_boundary=0
+#
+n_group=1
+#Group 0
+n_freq0=9
+frequency00=0
+frequency01=1
+frequency02=2
+frequency03=3
+frequency04=4
+frequency05=5
+frequency06=6
+frequency07=7
+frequency08=8
+#
+#Discretization
+equation_integration_degree_blk0 = 5
+equation_integration_degree_bnd0 = 6
+equation_integration_degree_blk1 = 5
+equation_integration_degree_bnd1 = 6
+equation_integration_degree_blk2 = 5
+equation_integration_degree_bnd2 = 6
+equation_integration_degree_blk3 = 7
+equation_integration_degree_bnd3 = 8
+equation_integration_degree_blk4 = 7
+equation_integration_degree_bnd4 = 8
+equation_integration_degree_blk5 = 7
+equation_integration_degree_bnd5 = 8
+equation_integration_degree_blk6 = 9
+equation_integration_degree_bnd6 = 10
+equation_integration_degree_blk7 = 9
+equation_integration_degree_bnd7 = 10
+equation_integration_degree_blk8 = 9
+equation_integration_degree_bnd8 = 10
+#Wave
+wave_FunctionSpaceDegree0 = 2
+wave_FunctionSpaceDegree1 = 2
+wave_FunctionSpaceDegree2 = 2
+wave_FunctionSpaceDegree3 = 3
+wave_FunctionSpaceDegree4 = 3
+wave_FunctionSpaceDegree5 = 3
+wave_FunctionSpaceDegree6 = 4
+wave_FunctionSpaceDegree7 = 4
+wave_FunctionSpaceDegree8 = 4
+#Model
+innerproduct_integration_degree_blk = 7
+innerproduct_integration_degree_bnd = 8
+#
+model_FunctionSpaceType = HierarchicalH1
+model_FunctionSpaceDegree = 1
+#
+#Objective
+objective = l2distance
+#
+#Global minimum search
+globalminimum_n_scale=1
+globalminimumsearch = sequentialscale
+globalminimum_relDecreaseThreshold = 0.0
+#
+#Local minimum search
+localminimum_maxIteration = 250
+localminimum_meanRelDecreaseThreshold = 1e-10
+localminimum_meanRelDecreaseMemory = 0
diff --git a/input/paper3/concrete3/large_concrete_lns2.csv b/input/paper3/concrete3/large_concrete_lns2.csv
new file mode 100644
index 0000000000000000000000000000000000000000..44e378ff5675f4c0356ca06e222eda291609ef6a
--- /dev/null
+++ b/input/paper3/concrete3/large_concrete_lns2.csv
@@ -0,0 +1,35 @@
+211
+31
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diff --git a/input/paper3/concrete3/large_concrete_lns2_initial.csv b/input/paper3/concrete3/large_concrete_lns2_initial.csv
new file mode 100644
index 0000000000000000000000000000000000000000..dd94cb2ef7583499e6228a1a5632bcdbfe800659
--- /dev/null
+++ b/input/paper3/concrete3/large_concrete_lns2_initial.csv
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+2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079 2.4079
diff --git a/input/paper3/concrete3/linesearch_unit.txt b/input/paper3/concrete3/linesearch_unit.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5858693543bb319c6366ddb88d17ce955fb77e53
--- /dev/null
+++ b/input/paper3/concrete3/linesearch_unit.txt
@@ -0,0 +1,6 @@
+#Line search
+linesearch = strongwolfe
+rho = 0.5
+c1 = 0.0001
+c2 = 0.9
+a0 = 1.
diff --git a/input/paper3/concrete3/localminimum_classic.txt b/input/paper3/concrete3/localminimum_classic.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6dc819f81eadb3dcf64a993b1e51e64920de7d88
--- /dev/null
+++ b/input/paper3/concrete3/localminimum_classic.txt
@@ -0,0 +1,3 @@
+#Local minimum search
+localminimumsearch = classic
+localminimum_writeInterval = 10
diff --git a/input/paper3/concrete3/regularization_tikhonov.txt b/input/paper3/concrete3/regularization_tikhonov.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ab0c251d88261c3e5225d82512cc2367c3c125fc
--- /dev/null
+++ b/input/paper3/concrete3/regularization_tikhonov.txt
@@ -0,0 +1,4 @@
+#Regularization
+regularization = tikhonov
+regularization_integration_degree_blk = 2
+regularization_integration_degree_bnd = 0
diff --git a/input/paper3/concrete3/regularization_totalvariation.txt b/input/paper3/concrete3/regularization_totalvariation.txt
new file mode 100644
index 0000000000000000000000000000000000000000..88d0c29ad576c30479908dd8ae3a4b3ad6af7328
--- /dev/null
+++ b/input/paper3/concrete3/regularization_totalvariation.txt
@@ -0,0 +1,5 @@
+#Regularization
+regularization = totalvariation
+regularization_beta = 1e-4
+regularization_integration_degree_blk = 4
+regularization_integration_degree_bnd = 0
diff --git a/input/paper3/concrete3/time/initial.txt b/input/paper3/concrete3/time/initial.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7d502229a7d49d02256b407b51a454676a8c9253
--- /dev/null
+++ b/input/paper3/concrete3/time/initial.txt
@@ -0,0 +1,19 @@
+name = timewave_initial
+#Configuration
+unknown = none
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2_initial
+#
+#Wave
+wave_FunctionSpaceDegree = 2
+#Equation
+equation_integration_degree_blk = 6
+equation_integration_degree_bnd = 7
+newmark_beta = 0.25
+newmark_gamma = 0.5
+newmark_dt = 1e-4
+newmark_T = 0.2
+excitation_fm = 150.
+excitation_offset = 0.0075
+#Output
+write_model_field = 1
diff --git a/input/paper3/concrete3/time/inverse.txt b/input/paper3/concrete3/time/inverse.txt
new file mode 100644
index 0000000000000000000000000000000000000000..09e23b67d4ceaafb3b65c40f1abcc0d76c66e9a6
--- /dev/null
+++ b/input/paper3/concrete3/time/inverse.txt
@@ -0,0 +1,19 @@
+name = timewave_inverse
+#Configuration
+unknown = none
+m0_typec0 = file.pos
+m0_pathc0 = ../../Manuscript/Part3bis/TC2/SNRM3/DF_LBFGS_LS/paper2_concrete3_df4_lbfgs_ls_snrm3g0s0m247
+#
+#Wave
+wave_FunctionSpaceDegree = 2
+#Equation
+equation_integration_degree_blk = 6
+equation_integration_degree_bnd = 7
+newmark_beta = 0.25
+newmark_gamma = 0.5
+newmark_dt = 1e-4
+newmark_T = 0.2
+excitation_fm = 150.
+excitation_offset = 0.0075
+#Output
+write_model_field = 1
diff --git a/input/paper3/concrete3/time/synthetics.txt b/input/paper3/concrete3/time/synthetics.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b09961ab29b2288d1466232de3e06dadaa9716f9
--- /dev/null
+++ b/input/paper3/concrete3/time/synthetics.txt
@@ -0,0 +1,19 @@
+name = synthetics
+#Configuration
+unknown = none
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/concrete3/large_concrete_lns2
+#
+#Wave
+wave_FunctionSpaceDegree = 2
+#Equation
+equation_integration_degree_blk = 6
+equation_integration_degree_bnd = 7
+newmark_beta = 0.25
+newmark_gamma = 0.5
+newmark_dt = 1e-4
+newmark_T = 0.2
+excitation_fm = 150.
+excitation_offset = 0.0075
+#Output
+write_model_field = 1
diff --git a/input/paper3/cross/cluster/cluster_inversion_sst2_lbfgs_ls.sh b/input/paper3/cross/cluster/cluster_inversion_sst2_lbfgs_ls.sh
new file mode 100644
index 0000000000000000000000000000000000000000..c4d2cf920574cace835e7397a37ce6b9c467752d
--- /dev/null
+++ b/input/paper3/cross/cluster/cluster_inversion_sst2_lbfgs_ls.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=cross_inversion_sst2_lbfgs_ls_snr7
+#SBATCH --output=cross_inversion_sst2_lbfgs_ls_snr7.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=400:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/cross/common.txt ../input/paper3/cross/inversion.txt ../input/paper3/cross/innerproduct_sst2.txt ../input/paper3/cross/localminimum_classic.txt ../input/paper3/cross/descentsearch_lbfgs_ls.txt ../input/paper3/cross/linesearch_unit.txt ../input/paper3/cross/data_snr7.txt -verbose 2 -maxThreads 1 -name sst2_lbfgs_ls_snr7
diff --git a/input/paper3/cross/cluster/cluster_syntetics.sh b/input/paper3/cross/cluster/cluster_syntetics.sh
new file mode 100644
index 0000000000000000000000000000000000000000..6fb5a48f197cae0da84dad11002dfaaeac920255
--- /dev/null
+++ b/input/paper3/cross/cluster/cluster_syntetics.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=timewave_cross_synthetics
+#SBATCH --output=timewave_cross_synthetics.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=600:00
+#SBATCH --mem-per-cpu=16000
+
+time ./time_synthetics_wave ../input/paper3/cross/common.txt ../input/paper3/cross/synthetics.txt -maxThreads 1 -verbose 2
diff --git a/input/paper3/cross/cluster/df/cluster_inversion_df0_lbfgs_ls.sh b/input/paper3/cross/cluster/df/cluster_inversion_df0_lbfgs_ls.sh
new file mode 100644
index 0000000000000000000000000000000000000000..5653defbe998b2df6bfccf27249b95dc86b2055c
--- /dev/null
+++ b/input/paper3/cross/cluster/df/cluster_inversion_df0_lbfgs_ls.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=cross_inversion_df0_lbfgs_ls_snr7
+#SBATCH --output=cross_inversion_df0_lbfgs_ls_snr7.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=400:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/cross/common.txt ../input/paper3/cross/inversion.txt ../input/paper3/cross/innerproduct_df.txt ../input/paper3/cross/localminimum_classic.txt ../input/paper3/cross/descentsearch_lbfgs_ls.txt ../input/paper3/cross/linesearch_unit.txt ../input/paper3/cross/data_snr7.txt -verbose 2 -maxThreads 1 -scale0 0.75 -name df0_lbfgs_ls_snr7
diff --git a/input/paper3/cross/cluster/df/cluster_inversion_df1_lbfgs_ls.sh b/input/paper3/cross/cluster/df/cluster_inversion_df1_lbfgs_ls.sh
new file mode 100644
index 0000000000000000000000000000000000000000..15ff04ed94fe6db0706db4967a004c0e8947fbbf
--- /dev/null
+++ b/input/paper3/cross/cluster/df/cluster_inversion_df1_lbfgs_ls.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=cross_inversion_df1_lbfgs_ls_snr6
+#SBATCH --output=cross_inversion_df1_lbfgs_ls_snr6.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=700:00
+#SBATCH --mem-per-cpu=4000
+
+time ./inversion ../input/paper3/cross/common.txt ../input/paper3/cross/inversion.txt ../input/paper3/cross/innerproduct_df.txt ../input/paper3/cross/localminimum_classic.txt ../input/paper3/cross/descentsearch_lbfgs_ls.txt ../input/paper3/cross/linesearch_unit.txt ../input/paper3/cross/data_snr6.txt -verbose 2 -maxThreads 1 -scale0 2.25 -name df1_lbfgs_ls_snr6
diff --git a/input/paper3/cross/cluster/df/cluster_inversion_df2_lbfgs_ls.sh b/input/paper3/cross/cluster/df/cluster_inversion_df2_lbfgs_ls.sh
new file mode 100644
index 0000000000000000000000000000000000000000..140ec823841707a417407274bf09bc9e9945ade6
--- /dev/null
+++ b/input/paper3/cross/cluster/df/cluster_inversion_df2_lbfgs_ls.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=cross_inversion_df2_lbfgs_ls_snr6
+#SBATCH --output=cross_inversion_df2_lbfgs_ls_snr6.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=700:00
+#SBATCH --mem-per-cpu=4000
+
+time ./inversion ../input/paper3/cross/common.txt ../input/paper3/cross/inversion.txt ../input/paper3/cross/innerproduct_df.txt ../input/paper3/cross/localminimum_classic.txt ../input/paper3/cross/descentsearch_lbfgs_ls.txt ../input/paper3/cross/linesearch_unit.txt ../input/paper3/cross/data_snr6.txt -verbose 2 -maxThreads 1 -scale0 3.75 -name df2_lbfgs_ls_snr6
diff --git a/input/paper3/cross/cluster/df/cluster_inversion_df3_lbfgs_ls.sh b/input/paper3/cross/cluster/df/cluster_inversion_df3_lbfgs_ls.sh
new file mode 100644
index 0000000000000000000000000000000000000000..e2369a6132c947a43a146465303d2123979b67ab
--- /dev/null
+++ b/input/paper3/cross/cluster/df/cluster_inversion_df3_lbfgs_ls.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=cross_inversion_df3_lbfgs_ls_snr7
+#SBATCH --output=cross_inversion_df3_lbfgs_ls_snr7.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=400:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/cross/common.txt ../input/paper3/cross/inversion.txt ../input/paper3/cross/innerproduct_df.txt ../input/paper3/cross/localminimum_classic.txt ../input/paper3/cross/descentsearch_lbfgs_ls.txt ../input/paper3/cross/linesearch_unit.txt ../input/paper3/cross/data_snr7.txt -verbose 2 -maxThreads 1 -scale0 5.25 -name df3_lbfgs_ls_snr7
diff --git a/input/paper3/cross/cluster/df/cluster_inversion_df4_lbfgs_ls.sh b/input/paper3/cross/cluster/df/cluster_inversion_df4_lbfgs_ls.sh
new file mode 100644
index 0000000000000000000000000000000000000000..8e26abe824cd4e7ce6e7cd977b22cf56feebfb43
--- /dev/null
+++ b/input/paper3/cross/cluster/df/cluster_inversion_df4_lbfgs_ls.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=cross_inversion_df4_lbfgs_ls_snr7
+#SBATCH --output=cross_inversion_df4_lbfgs_ls_snr7.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=400:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/cross/common.txt ../input/paper3/cross/inversion.txt ../input/paper3/cross/innerproduct_df.txt ../input/paper3/cross/localminimum_classic.txt ../input/paper3/cross/descentsearch_lbfgs_ls.txt ../input/paper3/cross/linesearch_unit.txt ../input/paper3/cross/data_snr7.txt -verbose 2 -maxThreads 1 -scale0 6.75 -name df4_lbfgs_ls_snr7
diff --git a/input/paper3/cross/cluster/df_tv/cluster_inversion_df_lbfgs_ls_tv0.sh b/input/paper3/cross/cluster/df_tv/cluster_inversion_df_lbfgs_ls_tv0.sh
new file mode 100644
index 0000000000000000000000000000000000000000..61cd98aa00f81c4d928d0855a65c832e28cba018
--- /dev/null
+++ b/input/paper3/cross/cluster/df_tv/cluster_inversion_df_lbfgs_ls_tv0.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=cross_inversion_df_lbfgs_ls_snr7_tv0
+#SBATCH --output=cross_inversion_df_lbfgs_ls_snr7_tv0.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=400:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/cross/common.txt ../input/paper3/cross/inversion.txt ../input/paper3/cross/innerproduct_df.txt ../input/paper3/cross/localminimum_classic.txt ../input/paper3/cross/descentsearch_lbfgs_ls.txt ../input/paper3/cross/linesearch_unit.txt ../input/paper3/cross/data_snr7.txt ../input/paper3/cross/regularization_totalvariation.txt -regularization_lambdac0 5e-5 -regularization_lambdac1 5e-5 -verbose 2 -maxThreads 1 -name df_lbfgs_ls_snr7_tv0
diff --git a/input/paper3/cross/cluster/ssm/cluster_inversion_ssm0_lbfgs_ls.sh b/input/paper3/cross/cluster/ssm/cluster_inversion_ssm0_lbfgs_ls.sh
new file mode 100644
index 0000000000000000000000000000000000000000..248c1e3d1814a0194880d4b9b5909dc92cf871a5
--- /dev/null
+++ b/input/paper3/cross/cluster/ssm/cluster_inversion_ssm0_lbfgs_ls.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=cross_inversion_ssm0_lbfgs_ls_snr7
+#SBATCH --output=cross_inversion_ssm0_lbfgs_ls_snr7.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=400:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/cross/common.txt ../input/paper3/cross/inversion.txt ../input/paper3/cross/innerproduct_ssm.txt ../input/paper3/cross/localminimum_classic.txt ../input/paper3/cross/descentsearch_lbfgs_ls.txt ../input/paper3/cross/linesearch_unit.txt ../input/paper3/cross/data_snr7.txt -verbose 2 -maxThreads 1 -scale0 0.75 -name ssm0_lbfgs_ls_snr7
diff --git a/input/paper3/cross/cluster/ssm/cluster_inversion_ssm1_lbfgs_ls.sh b/input/paper3/cross/cluster/ssm/cluster_inversion_ssm1_lbfgs_ls.sh
new file mode 100644
index 0000000000000000000000000000000000000000..c717c6786e22ef774944e9d1bb4b043a8bafa5ad
--- /dev/null
+++ b/input/paper3/cross/cluster/ssm/cluster_inversion_ssm1_lbfgs_ls.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=cross_inversion_ssm1_lbfgs_ls_snr6
+#SBATCH --output=cross_inversion_ssm1_lbfgs_ls_snr6.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=700:00
+#SBATCH --mem-per-cpu=4000
+
+time ./inversion ../input/paper3/cross/common.txt ../input/paper3/cross/inversion.txt ../input/paper3/cross/innerproduct_ssm.txt ../input/paper3/cross/localminimum_classic.txt ../input/paper3/cross/descentsearch_lbfgs_ls.txt ../input/paper3/cross/linesearch_unit.txt ../input/paper3/cross/data_snr6.txt -verbose 2 -maxThreads 1 -scale0 2.25 -name ssm1_lbfgs_ls_snr6
diff --git a/input/paper3/cross/cluster/ssm/cluster_inversion_ssm2_lbfgs_ls.sh b/input/paper3/cross/cluster/ssm/cluster_inversion_ssm2_lbfgs_ls.sh
new file mode 100644
index 0000000000000000000000000000000000000000..cf09334594ce5da8c5c658cdd5b3b55d3afaf202
--- /dev/null
+++ b/input/paper3/cross/cluster/ssm/cluster_inversion_ssm2_lbfgs_ls.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=cross_inversion_ssm2_lbfgs_ls_snr6
+#SBATCH --output=cross_inversion_ssm2_lbfgs_ls_snr6.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=700:00
+#SBATCH --mem-per-cpu=4000
+
+time ./inversion ../input/paper3/cross/common.txt ../input/paper3/cross/inversion.txt ../input/paper3/cross/innerproduct_ssm.txt ../input/paper3/cross/localminimum_classic.txt ../input/paper3/cross/descentsearch_lbfgs_ls.txt ../input/paper3/cross/linesearch_unit.txt ../input/paper3/cross/data_snr6.txt -verbose 2 -maxThreads 1 -scale0 3.75 -name ssm2_lbfgs_ls_snr6
diff --git a/input/paper3/cross/cluster/ssm/cluster_inversion_ssm3_lbfgs_ls.sh b/input/paper3/cross/cluster/ssm/cluster_inversion_ssm3_lbfgs_ls.sh
new file mode 100644
index 0000000000000000000000000000000000000000..23054b33c6c8ad1a7bc195a15c76af093c942ff2
--- /dev/null
+++ b/input/paper3/cross/cluster/ssm/cluster_inversion_ssm3_lbfgs_ls.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=cross_inversion_ssm3_lbfgs_ls_snr7
+#SBATCH --output=cross_inversion_ssm3_lbfgs_ls_snr7.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=400:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/cross/common.txt ../input/paper3/cross/inversion.txt ../input/paper3/cross/innerproduct_ssm.txt ../input/paper3/cross/localminimum_classic.txt ../input/paper3/cross/descentsearch_lbfgs_ls.txt ../input/paper3/cross/linesearch_unit.txt ../input/paper3/cross/data_snr7.txt -verbose 2 -maxThreads 1 -scale0 5.25 -name ssm3_lbfgs_ls_snr7
diff --git a/input/paper3/cross/cluster/ssm/cluster_inversion_ssm4_lbfgs_ls.sh b/input/paper3/cross/cluster/ssm/cluster_inversion_ssm4_lbfgs_ls.sh
new file mode 100644
index 0000000000000000000000000000000000000000..158ccfbdc6ad1e77b96d9135408dbf2bf5de4d24
--- /dev/null
+++ b/input/paper3/cross/cluster/ssm/cluster_inversion_ssm4_lbfgs_ls.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=cross_inversion_ssm4_lbfgs_ls_snr7
+#SBATCH --output=cross_inversion_ssm4_lbfgs_ls_snr7.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=400:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/cross/common.txt ../input/paper3/cross/inversion.txt ../input/paper3/cross/innerproduct_ssm.txt ../input/paper3/cross/localminimum_classic.txt ../input/paper3/cross/descentsearch_lbfgs_ls.txt ../input/paper3/cross/linesearch_unit.txt ../input/paper3/cross/data_snr7.txt -verbose 2 -maxThreads 1 -scale0 6.75 -name ssm4_lbfgs_ls_snr7
diff --git a/input/paper3/cross/cluster/tik/cluster_inversion_sst2_lbfgs_ls_tik.sh b/input/paper3/cross/cluster/tik/cluster_inversion_sst2_lbfgs_ls_tik.sh
new file mode 100644
index 0000000000000000000000000000000000000000..cdb98ea1dac8cd9f01222dfd135b67ecf70c70ed
--- /dev/null
+++ b/input/paper3/cross/cluster/tik/cluster_inversion_sst2_lbfgs_ls_tik.sh
@@ -0,0 +1,15 @@
+#!/bin/bash
+#
+#SBATCH --job-name=cross_inversion_sst2_lbfgs_ls_snr6_tik
+#SBATCH --output=cross_inversion_sst2_lbfgs_ls_snr6_tik.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=4000
+
+#SBATCH --array=0-48
+
+ARGS_R0=(1.75e-5 3e-5 5.25e-5 1e-4 1.75e-4 3e-4 5.25e-4)
+ARGS_R1=(3e-6 1e-6 3e-6 1e-5 3e-5 1e-4 3e-4)
+
+time ./inversion ../input/paper3/cross/common.txt ../input/paper3/cross/inversion.txt ../input/paper3/cross/innerproduct_sst2.txt ../input/paper3/cross/localminimum_classic.txt ../input/paper3/cross/descentsearch_lbfgs_ls.txt ../input/paper3/cross/linesearch_unit.txt ../input/paper3/cross/data_snr6.txt ../input/paper3/cross/regularization_tikhonov.txt -regularization_lambdac0 ${ARGS_R0[$SLURM_ARRAY_TASK_ID % 7]} -regularization_lambdac1 ${ARGS_R1[$SLURM_ARRAY_TASK_ID / 7]} -verbose 2 -maxThreads 1 -name sst2_lbfgs_ls_snr6_tik$SLURM_ARRAY_TASK_ID
diff --git a/input/paper3/cross/cluster/tv/cluster_inversion_sst2_lbfgs_ls_tv.sh b/input/paper3/cross/cluster/tv/cluster_inversion_sst2_lbfgs_ls_tv.sh
new file mode 100644
index 0000000000000000000000000000000000000000..058b217ef220c5ae289c146267987c037b84a295
--- /dev/null
+++ b/input/paper3/cross/cluster/tv/cluster_inversion_sst2_lbfgs_ls_tv.sh
@@ -0,0 +1,15 @@
+#!/bin/bash
+#
+#SBATCH --job-name=cross_inversion_sst2_lbfgs_ls_snr6_tv
+#SBATCH --output=cross_inversion_sst2_lbfgs_ls_snr6_tv.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1000:00
+#SBATCH --mem-per-cpu=4000
+
+#SBATCH --array=0-48
+
+ARGS_R0=(3e-5 5.25e-5 1e-4 1.75e-4 3e-4 5.25e-4 1e-3)
+ARGS_R1=(5.25e-6 1e-5 1.75e-5 3e-5 5.25e-5 1e-4 1.75e-4)
+
+time ./inversion ../input/paper3/cross/common.txt ../input/paper3/cross/inversion.txt ../input/paper3/cross/innerproduct_sst2.txt ../input/paper3/cross/localminimum_classic.txt ../input/paper3/cross/descentsearch_lbfgs_ls.txt ../input/paper3/cross/linesearch_unit.txt ../input/paper3/cross/data_snr6.txt ../input/paper3/cross/regularization_totalvariation.txt -regularization_lambdac0 ${ARGS_R0[$SLURM_ARRAY_TASK_ID % 7]} -regularization_lambdac1 ${ARGS_R1[$SLURM_ARRAY_TASK_ID / 7]} -verbose 2 -maxThreads 1 -name sst2_lbfgs_ls_snr6_tv$SLURM_ARRAY_TASK_ID
diff --git a/input/paper3/cross/common.txt b/input/paper3/cross/common.txt
new file mode 100644
index 0000000000000000000000000000000000000000..729ebded334acb1e1db4a06b4c783e443f3026ee
--- /dev/null
+++ b/input/paper3/cross/common.txt
@@ -0,0 +1,46 @@
+prename = cross_
+#Configuration
+configuration = circular_acquisition
+#
+#Parametrization
+parametrization = ln_permcond_bireal
+parametrization_frequency0 = 0.33
+#Equation
+physic = acoustic
+equation = simplewave
+equation_boundary = 0
+equation_boundary_realImpedance = 1
+#
+#
+#
+rer = 5.
+rext = 7.
+np = 120
+#emitter_offset = 60
+#emitter_skip = 120
+emitter_offset = 0
+emitter_skip = 3
+receiver_offset = 0
+receiver_skip = 1
+receiver_on_emitter=0
+#
+Re(mbc0) = 1.39
+Im(mbc0) = 0.
+Re(mbc1) = -0.62
+Im(mbc1) = 0.
+#
+#Discretization
+h = 0.1
+integration_type = Gauss
+wave_FunctionSpaceType = HierarchicalH1
+#
+#Frequencies
+n_freq = 7
+#Frequency
+frequency0 = 0.17
+frequency1 = 0.2
+frequency2 = 0.23
+frequency3 = 0.27
+frequency4 = 0.33
+frequency5 = 0.5
+frequency6 = 0.67
diff --git a/input/paper3/cross/data_snr6.txt b/input/paper3/cross/data_snr6.txt
new file mode 100644
index 0000000000000000000000000000000000000000..796c4f9eb4f44f67ba4103dc77205c759da4d662
--- /dev/null
+++ b/input/paper3/cross/data_snr6.txt
@@ -0,0 +1,2 @@
+#Data
+data = cross_synthetics_data_snr6f
diff --git a/input/paper3/cross/descentsearch_lbfgs_ls.txt b/input/paper3/cross/descentsearch_lbfgs_ls.txt
new file mode 100644
index 0000000000000000000000000000000000000000..eef64fab3bdfe9c0fd75abeea3398fc956901bd2
--- /dev/null
+++ b/input/paper3/cross/descentsearch_lbfgs_ls.txt
@@ -0,0 +1,3 @@
+#Descent search
+descentsearch = lbfgs
+descent_memory = 10
diff --git a/input/paper3/cross/error/comparison_lbfgs_ls_snr6_error.txt b/input/paper3/cross/error/comparison_lbfgs_ls_snr6_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..95fb9c558ad2da901001920c43f63c7ac39f422a
--- /dev/null
+++ b/input/paper3/cross/error/comparison_lbfgs_ls_snr6_error.txt
@@ -0,0 +1,40 @@
+name = comparison_lbfgs_ls_snr6_error
+#Configuration
+unknown = all
+#
+inclusion_ni = 2
+inclusion_filled = 1
+#Inclusion 0
+inclusion0 = cross
+inclusion_x0i0 = -1.
+inclusion_y0i0 = -1.
+inclusion_ri0 = 1.0
+Re(mi0c0) = 0.
+Im(mi0c0) = 0.
+Re(mi0c1) = -4.02
+Im(mi0c1) = 0.
+#Inclusion 1
+inclusion1 = cross
+inclusion_x0i1 = 1.25
+inclusion_y0i1 = 1.25
+inclusion_ri1 = 1.0
+Re(mi1c0) = 2.08
+Im(mi1c0) = 0.
+Re(mi1c1) = 0.59
+Im(mi1c1) = 0.
+#
+#Error
+error_type = exp_relative_mean
+error_mask = 1
+error_mask_type = circle
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC3/SNR6/
+inverted_model_number = 3
+inverted_model_list = 1
+inverted_model_name0 = SST_LBFGS_LS_TIK/cross_sst2_lbfgs_ls_snr6_tik22_mg0
+inverted_model_name1 = SST_LBFGS_LS_TV/cross_sst2_lbfgs_ls_snr6_tv24_mg0
+inverted_model_name2 = SSM_LBFGS_LS/cross_ssm1_lbfgs_ls_snr6g0s0m100
+inverted_model_name3 = DF_LBFGS_LS/cross_df2_lbfgs_ls_snr6g0s0m100
+#Output
+write_error_field = 1
diff --git a/input/paper3/cross/error/df/df1_lbfgs_ls_snr6_error.txt b/input/paper3/cross/error/df/df1_lbfgs_ls_snr6_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c5b2091409e69d529d3b111eb1f6d23af6696295
--- /dev/null
+++ b/input/paper3/cross/error/df/df1_lbfgs_ls_snr6_error.txt
@@ -0,0 +1,37 @@
+name = df1_lbfgs_ls_snr6_error
+#Configuration
+unknown = all
+#
+inclusion_ni = 2
+inclusion_filled = 1
+#Inclusion 0
+inclusion0 = cross
+inclusion_x0i0 = -1.
+inclusion_y0i0 = -1.
+inclusion_ri0 = 1.0
+Re(mi0c0) = 0.
+Im(mi0c0) = 0.
+Re(mi0c1) = -4.02
+Im(mi0c1) = 0.
+#Inclusion 1
+inclusion1 = cross
+inclusion_x0i1 = 1.25
+inclusion_y0i1 = 1.25
+inclusion_ri1 = 1.0
+Re(mi1c0) = 2.08
+Im(mi1c0) = 0.
+Re(mi1c1) = 0.59
+Im(mi1c1) = 0.
+#
+#Error
+error_type = exp_relative_mean
+error_mask = 1
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC3/SNR6/DF_LBFGS_LS/
+inverted_model_name = cross_df1_lbfgs_ls_snr6
+inverted_model_prefix = g0s0
+inverted_model_skip = 10
+inverted_model_number = 20
+#Output
+write_error_field = 0
diff --git a/input/paper3/cross/error/df/df2_lbfgs_ls_snr6_error.txt b/input/paper3/cross/error/df/df2_lbfgs_ls_snr6_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2d532970e11cd5d008a56bcdd17a2720e5f46a54
--- /dev/null
+++ b/input/paper3/cross/error/df/df2_lbfgs_ls_snr6_error.txt
@@ -0,0 +1,37 @@
+name = df2_lbfgs_ls_snr6_error
+#Configuration
+unknown = all
+#
+inclusion_ni = 2
+inclusion_filled = 1
+#Inclusion 0
+inclusion0 = cross
+inclusion_x0i0 = -1.
+inclusion_y0i0 = -1.
+inclusion_ri0 = 1.0
+Re(mi0c0) = 0.
+Im(mi0c0) = 0.
+Re(mi0c1) = -4.02
+Im(mi0c1) = 0.
+#Inclusion 1
+inclusion1 = cross
+inclusion_x0i1 = 1.25
+inclusion_y0i1 = 1.25
+inclusion_ri1 = 1.0
+Re(mi1c0) = 2.08
+Im(mi1c0) = 0.
+Re(mi1c1) = 0.59
+Im(mi1c1) = 0.
+#
+#Error
+error_type = exp_relative_mean
+error_mask = 1
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC3/SNR6/DF_LBFGS_LS/
+inverted_model_name = cross_df2_lbfgs_ls_snr6
+inverted_model_prefix = g0s0
+inverted_model_skip = 10
+inverted_model_number = 20
+#Output
+write_error_field = 1
diff --git a/input/paper3/cross/error/ssm/ssm1_lbfgs_ls_snr6_error.txt b/input/paper3/cross/error/ssm/ssm1_lbfgs_ls_snr6_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c3987aeac3b0fcdcbcbed33ecb57fb5dca71f44c
--- /dev/null
+++ b/input/paper3/cross/error/ssm/ssm1_lbfgs_ls_snr6_error.txt
@@ -0,0 +1,37 @@
+name = ssm1_lbfgs_ls_snr6_error
+#Configuration
+unknown = all
+#
+inclusion_ni = 2
+inclusion_filled = 1
+#Inclusion 0
+inclusion0 = cross
+inclusion_x0i0 = -1.
+inclusion_y0i0 = -1.
+inclusion_ri0 = 1.0
+Re(mi0c0) = 0.
+Im(mi0c0) = 0.
+Re(mi0c1) = -4.02
+Im(mi0c1) = 0.
+#Inclusion 1
+inclusion1 = cross
+inclusion_x0i1 = 1.25
+inclusion_y0i1 = 1.25
+inclusion_ri1 = 1.0
+Re(mi1c0) = 2.08
+Im(mi1c0) = 0.
+Re(mi1c1) = 0.59
+Im(mi1c1) = 0.
+#
+#Error
+error_type = exp_relative_mean
+error_mask = 1
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC3/SNR6/SSM_LBFGS_LS/
+inverted_model_name = cross_ssm1_lbfgs_ls_snr6
+inverted_model_prefix = g0s0
+inverted_model_skip = 10
+inverted_model_number = 20
+#Output
+write_error_field = 1
diff --git a/input/paper3/cross/error/ssm/ssm2_lbfgs_ls_snr6_error.txt b/input/paper3/cross/error/ssm/ssm2_lbfgs_ls_snr6_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f569967b7fed656208a932cd8da40271cdb6a0ff
--- /dev/null
+++ b/input/paper3/cross/error/ssm/ssm2_lbfgs_ls_snr6_error.txt
@@ -0,0 +1,37 @@
+name = ssm2_lbfgs_ls_snr6_error
+#Configuration
+unknown = all
+#
+inclusion_ni = 2
+inclusion_filled = 1
+#Inclusion 0
+inclusion0 = cross
+inclusion_x0i0 = -1.
+inclusion_y0i0 = -1.
+inclusion_ri0 = 1.0
+Re(mi0c0) = 0.
+Im(mi0c0) = 0.
+Re(mi0c1) = -4.02
+Im(mi0c1) = 0.
+#Inclusion 1
+inclusion1 = cross
+inclusion_x0i1 = 1.25
+inclusion_y0i1 = 1.25
+inclusion_ri1 = 1.0
+Re(mi1c0) = 2.08
+Im(mi1c0) = 0.
+Re(mi1c1) = 0.59
+Im(mi1c1) = 0.
+#
+#Error
+error_type = exp_relative_mean
+error_mask = 1
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC3/SNR6/SSM_LBFGS_LS/
+inverted_model_name = cross_ssm2_lbfgs_ls_snr6
+inverted_model_prefix = g0s0
+inverted_model_skip = 10
+inverted_model_number = 20
+#Output
+write_error_field = 0
diff --git a/input/paper3/cross/error/tik/sst_lbfgs_ls_snr6_tik22_error.txt b/input/paper3/cross/error/tik/sst_lbfgs_ls_snr6_tik22_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c6f28e2c216f5af050e6dfd411f3e045537d0b17
--- /dev/null
+++ b/input/paper3/cross/error/tik/sst_lbfgs_ls_snr6_tik22_error.txt
@@ -0,0 +1,38 @@
+name = sst2_lbfgs_ls_snr6_tik22_error
+#Configuration
+unknown = all
+#
+inclusion_ni = 2
+inclusion_filled = 1
+#Inclusion 0
+inclusion0 = cross
+inclusion_x0i0 = -1.
+inclusion_y0i0 = -1.
+inclusion_ri0 = 1.0
+Re(mi0c0) = 0.
+Im(mi0c0) = 0.
+Re(mi0c1) = -4.02
+Im(mi0c1) = 0.
+#Inclusion 1
+inclusion1 = cross
+inclusion_x0i1 = 1.25
+inclusion_y0i1 = 1.25
+inclusion_ri1 = 1.0
+Re(mi1c0) = 2.08
+Im(mi1c0) = 0.
+Re(mi1c1) = 0.59
+Im(mi1c1) = 0.
+#
+#Error
+error_type = exp_relative_mean
+error_mask = 1
+error_mask_type = circle
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC3/SNR6/SST_LBFGS_LS_TIK/
+inverted_model_name = cross_sst2_lbfgs_ls_snr6_tik22
+inverted_model_prefix = g0s0
+inverted_model_skip = 10
+inverted_model_number = 20
+#Output
+write_error_field = 0
diff --git a/input/paper3/cross/error/tik/sst_lbfgs_ls_snr6_tik_error.txt b/input/paper3/cross/error/tik/sst_lbfgs_ls_snr6_tik_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..08782f7de548072a6aba31928e49988bccee1f8c
--- /dev/null
+++ b/input/paper3/cross/error/tik/sst_lbfgs_ls_snr6_tik_error.txt
@@ -0,0 +1,85 @@
+name = sst2_lbfgs_ls_snr6_tik_error
+#Configuration
+unknown = all
+#
+inclusion_ni = 2
+inclusion_filled = 1
+#Inclusion 0
+inclusion0 = cross
+inclusion_x0i0 = -1.
+inclusion_y0i0 = -1.
+inclusion_ri0 = 1.0
+Re(mi0c0) = 0.
+Im(mi0c0) = 0.
+Re(mi0c1) = -4.02
+Im(mi0c1) = 0.
+#Inclusion 1
+inclusion1 = cross
+inclusion_x0i1 = 1.25
+inclusion_y0i1 = 1.25
+inclusion_ri1 = 1.0
+Re(mi1c0) = 2.08
+Im(mi1c0) = 0.
+Re(mi1c1) = 0.59
+Im(mi1c1) = 0.
+#
+#Error
+error_type = exp_relative_mean
+error_mask = 1
+error_mask_type = circle
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC3/SNR6/SST_LBFGS_LS_TIK/
+inverted_model_number = 48
+inverted_model_list = 1
+inverted_model_name0 = cross_sst2_lbfgs_ls_snr6_tik0_mg0
+inverted_model_name1 = cross_sst2_lbfgs_ls_snr6_tik1_mg0
+inverted_model_name2 = cross_sst2_lbfgs_ls_snr6_tik2_mg0
+inverted_model_name3 = cross_sst2_lbfgs_ls_snr6_tik3_mg0
+inverted_model_name4 = cross_sst2_lbfgs_ls_snr6_tik4_mg0
+inverted_model_name5 = cross_sst2_lbfgs_ls_snr6_tik5_mg0
+inverted_model_name6 = cross_sst2_lbfgs_ls_snr6_tik6_mg0
+inverted_model_name7 = cross_sst2_lbfgs_ls_snr6_tik7_mg0
+inverted_model_name8 = cross_sst2_lbfgs_ls_snr6_tik8_mg0
+inverted_model_name9 = cross_sst2_lbfgs_ls_snr6_tik9_mg0
+inverted_model_name10 = cross_sst2_lbfgs_ls_snr6_tik10_mg0
+inverted_model_name11 = cross_sst2_lbfgs_ls_snr6_tik11_mg0
+inverted_model_name12 = cross_sst2_lbfgs_ls_snr6_tik12_mg0
+inverted_model_name13 = cross_sst2_lbfgs_ls_snr6_tik13_mg0
+inverted_model_name14 = cross_sst2_lbfgs_ls_snr6_tik14_mg0
+inverted_model_name15 = cross_sst2_lbfgs_ls_snr6_tik15_mg0
+inverted_model_name16 = cross_sst2_lbfgs_ls_snr6_tik16_mg0
+inverted_model_name17 = cross_sst2_lbfgs_ls_snr6_tik17_mg0
+inverted_model_name18 = cross_sst2_lbfgs_ls_snr6_tik18_mg0
+inverted_model_name19 = cross_sst2_lbfgs_ls_snr6_tik19_mg0
+inverted_model_name20 = cross_sst2_lbfgs_ls_snr6_tik20_mg0
+inverted_model_name21 = cross_sst2_lbfgs_ls_snr6_tik21_mg0
+inverted_model_name22 = cross_sst2_lbfgs_ls_snr6_tik22_mg0
+inverted_model_name23 = cross_sst2_lbfgs_ls_snr6_tik23_mg0
+inverted_model_name24 = cross_sst2_lbfgs_ls_snr6_tik24_mg0
+inverted_model_name25 = cross_sst2_lbfgs_ls_snr6_tik25_mg0
+inverted_model_name26 = cross_sst2_lbfgs_ls_snr6_tik26_mg0
+inverted_model_name27 = cross_sst2_lbfgs_ls_snr6_tik27_mg0
+inverted_model_name28 = cross_sst2_lbfgs_ls_snr6_tik28_mg0
+inverted_model_name29 = cross_sst2_lbfgs_ls_snr6_tik29_mg0
+inverted_model_name30 = cross_sst2_lbfgs_ls_snr6_tik30_mg0
+inverted_model_name31 = cross_sst2_lbfgs_ls_snr6_tik31_mg0
+inverted_model_name32 = cross_sst2_lbfgs_ls_snr6_tik32_mg0
+inverted_model_name33 = cross_sst2_lbfgs_ls_snr6_tik33_mg0
+inverted_model_name34 = cross_sst2_lbfgs_ls_snr6_tik34_mg0
+inverted_model_name35 = cross_sst2_lbfgs_ls_snr6_tik35_mg0
+inverted_model_name36 = cross_sst2_lbfgs_ls_snr6_tik36_mg0
+inverted_model_name37 = cross_sst2_lbfgs_ls_snr6_tik37_mg0
+inverted_model_name38 = cross_sst2_lbfgs_ls_snr6_tik38_mg0
+inverted_model_name39 = cross_sst2_lbfgs_ls_snr6_tik39_mg0
+inverted_model_name40 = cross_sst2_lbfgs_ls_snr6_tik40_mg0
+inverted_model_name41 = cross_sst2_lbfgs_ls_snr6_tik41_mg0
+inverted_model_name42 = cross_sst2_lbfgs_ls_snr6_tik42_mg0
+inverted_model_name43 = cross_sst2_lbfgs_ls_snr6_tik43_mg0
+inverted_model_name44 = cross_sst2_lbfgs_ls_snr6_tik44_mg0
+inverted_model_name45 = cross_sst2_lbfgs_ls_snr6_tik45_mg0
+inverted_model_name46 = cross_sst2_lbfgs_ls_snr6_tik46_mg0
+inverted_model_name47 = cross_sst2_lbfgs_ls_snr6_tik47_mg0
+inverted_model_name48 = cross_sst2_lbfgs_ls_snr6_tik48_mg0
+#Output
+write_error_field = 1
diff --git a/input/paper3/cross/error/tv/sst_lbfgs_ls_snr6_tv24_error.txt b/input/paper3/cross/error/tv/sst_lbfgs_ls_snr6_tv24_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c2499f2dadb3325a27f3b078736a66f443fd14ec
--- /dev/null
+++ b/input/paper3/cross/error/tv/sst_lbfgs_ls_snr6_tv24_error.txt
@@ -0,0 +1,38 @@
+name = sst2_lbfgs_ls_snr6_tv24_error
+#Configuration
+unknown = all
+#
+inclusion_ni = 2
+inclusion_filled = 1
+#Inclusion 0
+inclusion0 = cross
+inclusion_x0i0 = -1.
+inclusion_y0i0 = -1.
+inclusion_ri0 = 1.0
+Re(mi0c0) = 0.
+Im(mi0c0) = 0.
+Re(mi0c1) = -4.02
+Im(mi0c1) = 0.
+#Inclusion 1
+inclusion1 = cross
+inclusion_x0i1 = 1.25
+inclusion_y0i1 = 1.25
+inclusion_ri1 = 1.0
+Re(mi1c0) = 2.08
+Im(mi1c0) = 0.
+Re(mi1c1) = 0.59
+Im(mi1c1) = 0.
+#
+#Error
+error_type = exp_relative_mean
+error_mask = 1
+error_mask_type = circle
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC3/SNR6/SST_LBFGS_LS_TV/
+inverted_model_name = cross_sst2_lbfgs_ls_snr6_tv24
+inverted_model_prefix = g0s0
+inverted_model_skip = 10
+inverted_model_number = 20
+#Output
+write_error_field = 0
diff --git a/input/paper3/cross/error/tv/sst_lbfgs_ls_snr6_tv_error.txt b/input/paper3/cross/error/tv/sst_lbfgs_ls_snr6_tv_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f1ae69aa001eab2d06bb5837ab11cfec3972f8b0
--- /dev/null
+++ b/input/paper3/cross/error/tv/sst_lbfgs_ls_snr6_tv_error.txt
@@ -0,0 +1,85 @@
+name = sst2_lbfgs_ls_snr6_tv_error
+#Configuration
+unknown = all
+#
+inclusion_ni = 2
+inclusion_filled = 1
+#Inclusion 0
+inclusion0 = cross
+inclusion_x0i0 = -1.
+inclusion_y0i0 = -1.
+inclusion_ri0 = 1.0
+Re(mi0c0) = 0.
+Im(mi0c0) = 0.
+Re(mi0c1) = -4.02
+Im(mi0c1) = 0.
+#Inclusion 1
+inclusion1 = cross
+inclusion_x0i1 = 1.25
+inclusion_y0i1 = 1.25
+inclusion_ri1 = 1.0
+Re(mi1c0) = 2.08
+Im(mi1c0) = 0.
+Re(mi1c1) = 0.59
+Im(mi1c1) = 0.
+#
+#Error
+error_type = exp_relative_mean
+error_mask = 1
+error_mask_type = circle
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC3/SNR6/SST_LBFGS_LS_TV/
+inverted_model_number = 48
+inverted_model_list = 1
+inverted_model_name0 = cross_sst2_lbfgs_ls_snr6_tv0_mg0
+inverted_model_name1 = cross_sst2_lbfgs_ls_snr6_tv1_mg0
+inverted_model_name2 = cross_sst2_lbfgs_ls_snr6_tv2_mg0
+inverted_model_name3 = cross_sst2_lbfgs_ls_snr6_tv3_mg0
+inverted_model_name4 = cross_sst2_lbfgs_ls_snr6_tv4_mg0
+inverted_model_name5 = cross_sst2_lbfgs_ls_snr6_tv5_mg0
+inverted_model_name6 = cross_sst2_lbfgs_ls_snr6_tv6_mg0
+inverted_model_name7 = cross_sst2_lbfgs_ls_snr6_tv7_mg0
+inverted_model_name8 = cross_sst2_lbfgs_ls_snr6_tv8_mg0
+inverted_model_name9 = cross_sst2_lbfgs_ls_snr6_tv9_mg0
+inverted_model_name10 = cross_sst2_lbfgs_ls_snr6_tv10_mg0
+inverted_model_name11 = cross_sst2_lbfgs_ls_snr6_tv11_mg0
+inverted_model_name12 = cross_sst2_lbfgs_ls_snr6_tv12_mg0
+inverted_model_name13 = cross_sst2_lbfgs_ls_snr6_tv13_mg0
+inverted_model_name14 = cross_sst2_lbfgs_ls_snr6_tv14_mg0
+inverted_model_name15 = cross_sst2_lbfgs_ls_snr6_tv15_mg0
+inverted_model_name16 = cross_sst2_lbfgs_ls_snr6_tv16_mg0
+inverted_model_name17 = cross_sst2_lbfgs_ls_snr6_tv17_mg0
+inverted_model_name18 = cross_sst2_lbfgs_ls_snr6_tv18_mg0
+inverted_model_name19 = cross_sst2_lbfgs_ls_snr6_tv19_mg0
+inverted_model_name20 = cross_sst2_lbfgs_ls_snr6_tv20_mg0
+inverted_model_name21 = cross_sst2_lbfgs_ls_snr6_tv21_mg0
+inverted_model_name22 = cross_sst2_lbfgs_ls_snr6_tv22_mg0
+inverted_model_name23 = cross_sst2_lbfgs_ls_snr6_tv23_mg0
+inverted_model_name24 = cross_sst2_lbfgs_ls_snr6_tv24_mg0
+inverted_model_name25 = cross_sst2_lbfgs_ls_snr6_tv25_mg0
+inverted_model_name26 = cross_sst2_lbfgs_ls_snr6_tv26_mg0
+inverted_model_name27 = cross_sst2_lbfgs_ls_snr6_tv27_mg0
+inverted_model_name28 = cross_sst2_lbfgs_ls_snr6_tv28_mg0
+inverted_model_name29 = cross_sst2_lbfgs_ls_snr6_tv29_mg0
+inverted_model_name30 = cross_sst2_lbfgs_ls_snr6_tv30_mg0
+inverted_model_name31 = cross_sst2_lbfgs_ls_snr6_tv31_mg0
+inverted_model_name32 = cross_sst2_lbfgs_ls_snr6_tv32_mg0
+inverted_model_name33 = cross_sst2_lbfgs_ls_snr6_tv33_mg0
+inverted_model_name34 = cross_sst2_lbfgs_ls_snr6_tv34_mg0
+inverted_model_name35 = cross_sst2_lbfgs_ls_snr6_tv35_mg0
+inverted_model_name36 = cross_sst2_lbfgs_ls_snr6_tv36_mg0
+inverted_model_name37 = cross_sst2_lbfgs_ls_snr6_tv37_mg0
+inverted_model_name38 = cross_sst2_lbfgs_ls_snr6_tv38_mg0
+inverted_model_name39 = cross_sst2_lbfgs_ls_snr6_tv39_mg0
+inverted_model_name40 = cross_sst2_lbfgs_ls_snr6_tv40_mg0
+inverted_model_name41 = cross_sst2_lbfgs_ls_snr6_tv41_mg0
+inverted_model_name42 = cross_sst2_lbfgs_ls_snr6_tv42_mg0
+inverted_model_name43 = cross_sst2_lbfgs_ls_snr6_tv43_mg0
+inverted_model_name44 = cross_sst2_lbfgs_ls_snr6_tv44_mg0
+inverted_model_name45 = cross_sst2_lbfgs_ls_snr6_tv45_mg0
+inverted_model_name46 = cross_sst2_lbfgs_ls_snr6_tv46_mg0
+inverted_model_name47 = cross_sst2_lbfgs_ls_snr6_tv47_mg0
+inverted_model_name48 = cross_sst2_lbfgs_ls_snr6_tv48_mg0
+#Output
+write_error_field = 1
diff --git a/input/paper3/cross/innerproduct_df.txt b/input/paper3/cross/innerproduct_df.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b7336e3643f8aa847aea79b1bb345e56e0b79e15
--- /dev/null
+++ b/input/paper3/cross/innerproduct_df.txt
@@ -0,0 +1,16 @@
+#Inner product
+innerproduct = sobolev_df
+innerproduct_weight_bnd = 0.
+innerproduct_diag_preconditioner_smooth = 0
+innerproduct_diag_preconditioner_scale = 0
+innerproduct_preconditioner_ref0 = 1.008
+innerproduct_preconditioner_ref1 = 0.01874
+innerproduct_weight0 = 1.0
+innerproduct_weight1 = 3.0
+n_scale0 = 1
+#
+innerproduct_beta0 = 0.2
+innerproduct_beta1 = 0.4
+innerproduct_structure_weightc0 = 1.0
+innerproduct_structure_weightc1 = 0.0
+innerproduct_scale_structure = 0.375
diff --git a/input/paper3/cross/innerproduct_ssm.txt b/input/paper3/cross/innerproduct_ssm.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4c25c9ba19a050405c8a795317e20ac6e52be2d4
--- /dev/null
+++ b/input/paper3/cross/innerproduct_ssm.txt
@@ -0,0 +1,10 @@
+#Inner product
+innerproduct = sobolev_l2
+innerproduct_weight_bnd = 0.
+innerproduct_diag_preconditioner_smooth = 0
+innerproduct_diag_preconditioner_scale = 0
+innerproduct_preconditioner_ref0 = 1.008
+innerproduct_preconditioner_ref1 = 0.01874
+innerproduct_weight0 = 1.0
+innerproduct_weight1 = 3.0
+n_scale0 = 1
diff --git a/input/paper3/cross/innerproduct_sst2.txt b/input/paper3/cross/innerproduct_sst2.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6ef1438ca4fa9205371326f9a57a04a70b7e994f
--- /dev/null
+++ b/input/paper3/cross/innerproduct_sst2.txt
@@ -0,0 +1,11 @@
+#Inner product
+innerproduct = sobolev_l2
+innerproduct_weight_bnd = 0.
+innerproduct_diag_preconditioner_smooth = 0
+innerproduct_diag_preconditioner_scale = 0
+innerproduct_preconditioner_ref0 = 1.008
+innerproduct_preconditioner_ref1 = 0.01874
+innerproduct_weight0 = 1.0
+innerproduct_weight1 = 3.0
+n_scale0 = 1
+scale0 = 0.0
diff --git a/input/paper3/cross/inversion.txt b/input/paper3/cross/inversion.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8618a353c30d722cf36e6f86417665dc976195e2
--- /dev/null
+++ b/input/paper3/cross/inversion.txt
@@ -0,0 +1,49 @@
+#Configuration
+unknown = all
+#
+#Objective
+objective = l2distance
+#
+#Global minimum search
+globalminimumsearch = sequentialscale
+globalminimum_n_scale=1
+#
+#Local minimum search
+localminimum_maxIteration = 200
+localminimum_writeInterval = 75
+localminimum_meanRelDecreaseThreshold = 1e-10
+localminimum_meanRelDecreaseMemory = 0
+#
+n_group=1
+#Group 0
+n_freq0=7
+#
+#Discretization
+#Wave
+wave_FunctionSpaceDegree0 = 1
+equation_integration_degree_blk0 = 3
+equation_integration_degree_bnd0 = 4
+wave_FunctionSpaceDegree1 = 1
+equation_integration_degree_blk1 = 3
+equation_integration_degree_bnd1 = 4
+wave_FunctionSpaceDegree2 = 2
+equation_integration_degree_blk2 = 5
+equation_integration_degree_bnd2 = 6
+wave_FunctionSpaceDegree3 = 2
+equation_integration_degree_blk3 = 5
+equation_integration_degree_bnd3 = 6
+wave_FunctionSpaceDegree4 = 2
+equation_integration_degree_blk4 = 5
+equation_integration_degree_bnd4 = 6
+wave_FunctionSpaceDegree5 = 3
+equation_integration_degree_blk5 = 7
+equation_integration_degree_bnd5 = 8
+wave_FunctionSpaceDegree6 = 4
+equation_integration_degree_blk6 = 9
+equation_integration_degree_bnd6 = 10
+#
+#Model
+model_FunctionSpaceType = HierarchicalH1
+model_FunctionSpaceDegree = 1
+innerproduct_integration_degree_blk = 7
+innerproduct_integration_degree_bnd = 8
diff --git a/input/paper3/cross/linesearch_unit.txt b/input/paper3/cross/linesearch_unit.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5858693543bb319c6366ddb88d17ce955fb77e53
--- /dev/null
+++ b/input/paper3/cross/linesearch_unit.txt
@@ -0,0 +1,6 @@
+#Line search
+linesearch = strongwolfe
+rho = 0.5
+c1 = 0.0001
+c2 = 0.9
+a0 = 1.
diff --git a/input/paper3/cross/localminimum_classic.txt b/input/paper3/cross/localminimum_classic.txt
new file mode 100644
index 0000000000000000000000000000000000000000..98c2570e8ef7e212db7b7b22b796b49047f40441
--- /dev/null
+++ b/input/paper3/cross/localminimum_classic.txt
@@ -0,0 +1,2 @@
+#Local minimum search
+localminimumsearch = classic
diff --git a/input/paper3/cross/regularization_tikhonov.txt b/input/paper3/cross/regularization_tikhonov.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ab0c251d88261c3e5225d82512cc2367c3c125fc
--- /dev/null
+++ b/input/paper3/cross/regularization_tikhonov.txt
@@ -0,0 +1,4 @@
+#Regularization
+regularization = tikhonov
+regularization_integration_degree_blk = 2
+regularization_integration_degree_bnd = 0
diff --git a/input/paper3/cross/regularization_totalvariation.txt b/input/paper3/cross/regularization_totalvariation.txt
new file mode 100644
index 0000000000000000000000000000000000000000..88d0c29ad576c30479908dd8ae3a4b3ad6af7328
--- /dev/null
+++ b/input/paper3/cross/regularization_totalvariation.txt
@@ -0,0 +1,5 @@
+#Regularization
+regularization = totalvariation
+regularization_beta = 1e-4
+regularization_integration_degree_blk = 4
+regularization_integration_degree_bnd = 0
diff --git a/input/paper3/cross/time/initial.txt b/input/paper3/cross/time/initial.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1e032246b5f8d50aa2aa338efe735f76bfa6ba1e
--- /dev/null
+++ b/input/paper3/cross/time/initial.txt
@@ -0,0 +1,17 @@
+name = timewave_initial
+#Configuration
+unknown = none
+#
+#Wave
+wave_FunctionSpaceDegree = 3
+#Equation
+equation_integration_degree_blk = 8
+equation_integration_degree_bnd = 9
+newmark_beta = 0.25
+newmark_gamma = 0.5
+newmark_dt = 1e-2
+newmark_T = 100
+excitation_fm = 0.33
+excitation_offset = 3.75
+#Output
+write_model_field = 1
diff --git a/input/paper3/cross/time/inverse.txt b/input/paper3/cross/time/inverse.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d73c6d8aef5201443e8367a135052b1ee4caf1ea
--- /dev/null
+++ b/input/paper3/cross/time/inverse.txt
@@ -0,0 +1,21 @@
+name = timewave_inverse
+#Configuration
+unknown = none
+m0_typec0 = file.pos
+m0_pathc0 = ../../Manuscript/Part3bis/TC3/SNR6/DF_LBFGS_LS/cross_df2_lbfgs_ls_snr6g0s0m100
+m0_typec1 = file.pos
+m0_pathc1 = ../../Manuscript/Part3bis/TC3/SNR6/DF_LBFGS_LS/cross_df2_lbfgs_ls_snr6g0s0m100
+#
+#Wave
+wave_FunctionSpaceDegree = 3
+#Equation
+equation_integration_degree_blk = 8
+equation_integration_degree_bnd = 9
+newmark_beta = 0.25
+newmark_gamma = 0.5
+newmark_dt = 1e-2
+newmark_T = 100
+excitation_fm = 0.33
+excitation_offset = 3.75
+#Output
+write_model_field = 1
diff --git a/input/paper3/cross/time/synthetics.txt b/input/paper3/cross/time/synthetics.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c28d7dc5e2bd7645533a743bda1ab6733b6dd84c
--- /dev/null
+++ b/input/paper3/cross/time/synthetics.txt
@@ -0,0 +1,38 @@
+name = timewave_synthetics
+#Configuration
+unknown = none
+#
+inclusion_ni = 2
+inclusion_filled = 1
+#Inclusion 0
+inclusion0 = cross
+inclusion_x0i0 = -1.
+inclusion_y0i0 = -1.
+inclusion_ri0 = 1.0
+Re(mi0c0) = 0.
+Im(mi0c0) = 0.
+Re(mi0c1) = -4.02
+Im(mi0c1) = 0.
+#Inclusion 1
+inclusion1 = cross
+inclusion_x0i1 = 1.25
+inclusion_y0i1 = 1.25
+inclusion_ri1 = 1.0
+Re(mi1c0) = 2.08
+Im(mi1c0) = 0.
+Re(mi1c1) = 0.59
+Im(mi1c1) = 0.
+#
+#Wave
+wave_FunctionSpaceDegree = 3
+#Equation
+equation_integration_degree_blk = 8
+equation_integration_degree_bnd = 9
+newmark_beta = 0.25
+newmark_gamma = 0.5
+newmark_dt = 1e-2
+newmark_T = 100
+excitation_fm = 0.33
+excitation_offset = 3.75
+#Output
+write_model_field = 1
diff --git a/input/paper3/marmousi/cluster/cluster_inversion_df_lbfgs_trB_snr3.sh b/input/paper3/marmousi/cluster/cluster_inversion_df_lbfgs_trB_snr3.sh
deleted file mode 100644
index 0f5ab63582e3e6357a2105230dd693371085d028..0000000000000000000000000000000000000000
--- a/input/paper3/marmousi/cluster/cluster_inversion_df_lbfgs_trB_snr3.sh
+++ /dev/null
@@ -1,10 +0,0 @@
-#!/bin/bash
-#
-#SBATCH --job-name=paper2_extended_inversion_df_lbfgs_trB_snr3
-#SBATCH --output=paper2_extended_inversion_df_lbfgs_trB_snr3.log
-
-#SBATCH --ntasks=1
-#SBATCH --time=300:00
-#SBATCH --mem-per-cpu=16000
-
-time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_df.txt ../input/paper3/marmousi/localminimum_trB.txt ../input/paper3/marmousi/descentsearch_lbfgs_tr.txt ../input/paper3/marmousi/data_snr3.txt -localminimum_retrospective 0 -verbose 2 -maxThreads 1 -name df_lbfgs_trB_snr3
diff --git a/input/paper3/marmousi/cluster/cluster_inversion_ssm_lbfgs_ls_snr3.sh b/input/paper3/marmousi/cluster/cluster_inversion_ssm_lbfgs_ls_snr3.sh
deleted file mode 100644
index 4a011dcc2f5a7f5028ffc6bb6c10a201c3d1dc9a..0000000000000000000000000000000000000000
--- a/input/paper3/marmousi/cluster/cluster_inversion_ssm_lbfgs_ls_snr3.sh
+++ /dev/null
@@ -1,10 +0,0 @@
-#!/bin/bash
-#
-#SBATCH --job-name=paper2_extended_inversion_ssm_lbfgs_ls_snr3
-#SBATCH --output=paper2_extended_inversion_ssm_lbfgs_ls_snr3.log
-
-#SBATCH --ntasks=1
-#SBATCH --time=300:00
-#SBATCH --mem-per-cpu=16000
-
-time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_ssm.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr3.txt -verbose 2 -maxThreads 1 -name ssm_lbfgs_ls_snr3
diff --git a/input/paper3/marmousi/cluster/cluster_inversion_ssm_lbfgs_trB_snr3.sh b/input/paper3/marmousi/cluster/cluster_inversion_ssm_lbfgs_trB_snr3.sh
deleted file mode 100644
index 1689a48768e7df9c130085fd373c1ec66c30b3db..0000000000000000000000000000000000000000
--- a/input/paper3/marmousi/cluster/cluster_inversion_ssm_lbfgs_trB_snr3.sh
+++ /dev/null
@@ -1,10 +0,0 @@
-#!/bin/bash
-#
-#SBATCH --job-name=paper2_extended_inversion_ssm_lbfgs_trB_snr3
-#SBATCH --output=paper2_extended_inversion_ssm_lbfgs_trB_snr3.log
-
-#SBATCH --ntasks=1
-#SBATCH --time=300:00
-#SBATCH --mem-per-cpu=16000
-
-time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_ssm.txt ../input/paper3/marmousi/localminimum_trB.txt ../input/paper3/marmousi/descentsearch_lbfgs_tr.txt ../input/paper3/marmousi/data_snr3.txt -localminimum_retrospective 0 -verbose 2 -maxThreads 1 -name ssm_lbfgs_trB_snr3
diff --git a/input/paper3/marmousi/cluster/cluster_inversion_sst_lbfgs_ls_snr2.sh b/input/paper3/marmousi/cluster/cluster_inversion_sst_lbfgs_ls_snr2.sh
new file mode 100644
index 0000000000000000000000000000000000000000..5b70761971cbe9bdc0400adaffa1dc49d6bc76ca
--- /dev/null
+++ b/input/paper3/marmousi/cluster/cluster_inversion_sst_lbfgs_ls_snr2.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_sst_lbfgs_ls_snr2
+#SBATCH --output=paper2_extended_inversion_sst_lbfgs_ls_snr2.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=400:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_sst.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt -localminimum_maxIteration 60 -verbose 2 -maxThreads 1 -name sst_lbfgs_ls_snr2
diff --git a/input/paper3/marmousi/cluster/cluster_inversion_sst_lbfgs_ls_snr3.sh b/input/paper3/marmousi/cluster/cluster_inversion_sst_lbfgs_ls_snr3.sh
deleted file mode 100644
index ed42dff6a8274ec817fbe8847463193956469c62..0000000000000000000000000000000000000000
--- a/input/paper3/marmousi/cluster/cluster_inversion_sst_lbfgs_ls_snr3.sh
+++ /dev/null
@@ -1,10 +0,0 @@
-#!/bin/bash
-#
-#SBATCH --job-name=paper2_extended_inversion_sst_lbfgs_ls_snr3
-#SBATCH --output=paper2_extended_inversion_sst_lbfgs_ls_snr3.log
-
-#SBATCH --ntasks=1
-#SBATCH --time=300:00
-#SBATCH --mem-per-cpu=16000
-
-time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_sst.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr3.txt -verbose 2 -maxThreads 1 -name sst_lbfgs_ls_snr3
diff --git a/input/paper3/marmousi/cluster/cluster_inversion_sst_lbfgs_trB_snr3.sh b/input/paper3/marmousi/cluster/cluster_inversion_sst_lbfgs_trB_snr3.sh
deleted file mode 100644
index ba95342c21ee54517627c00164edc2618ffd5cdf..0000000000000000000000000000000000000000
--- a/input/paper3/marmousi/cluster/cluster_inversion_sst_lbfgs_trB_snr3.sh
+++ /dev/null
@@ -1,10 +0,0 @@
-#!/bin/bash
-#
-#SBATCH --job-name=paper2_extended_inversion_sst_lbfgs_trB_snr3
-#SBATCH --output=paper2_extended_inversion_sst_lbfgs_trB_snr3.log
-
-#SBATCH --ntasks=1
-#SBATCH --time=300:00
-#SBATCH --mem-per-cpu=16000
-
-time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_sst.txt ../input/paper3/marmousi/localminimum_trB.txt ../input/paper3/marmousi/descentsearch_lbfgs_tr.txt ../input/paper3/marmousi/data_snr3.txt -localminimum_retrospective 0 -verbose 2 -maxThreads 1 -name sst_lbfgs_trB_snr3
diff --git a/input/paper3/marmousi/cluster/cluster_inversion_sstm_lbfgs_ls_snr3.sh b/input/paper3/marmousi/cluster/cluster_inversion_sstm_lbfgs_ls_snr3.sh
deleted file mode 100644
index 1fa2afebdc944fe0d82a31bf590814c16906268b..0000000000000000000000000000000000000000
--- a/input/paper3/marmousi/cluster/cluster_inversion_sstm_lbfgs_ls_snr3.sh
+++ /dev/null
@@ -1,10 +0,0 @@
-#!/bin/bash
-#
-#SBATCH --job-name=paper2_extended_inversion_sstm_lbfgs_ls_snr3
-#SBATCH --output=paper2_extended_inversion_sstm_lbfgs_ls_snr3.log
-
-#SBATCH --ntasks=1
-#SBATCH --time=300:00
-#SBATCH --mem-per-cpu=16000
-
-time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_ssm.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr3.txt -innerproduct_diag_preconditioner_smooth 1 -verbose 2 -maxThreads 1 -name sstm_lbfgs_ls_snr3
diff --git a/input/paper3/marmousi/cluster/cluster_inversion_sstm_lbfgs_trB_snr3.sh b/input/paper3/marmousi/cluster/cluster_inversion_sstm_lbfgs_trB_snr3.sh
deleted file mode 100644
index 6520ab2f1c3b5b3ecc9f546b1a79351b35b5fcd2..0000000000000000000000000000000000000000
--- a/input/paper3/marmousi/cluster/cluster_inversion_sstm_lbfgs_trB_snr3.sh
+++ /dev/null
@@ -1,10 +0,0 @@
-#!/bin/bash
-#
-#SBATCH --job-name=paper2_extended_inversion_sstm_lbfgs_trB_snr3
-#SBATCH --output=paper2_extended_inversion_sstm_lbfgs_trB_snr3.log
-
-#SBATCH --ntasks=1
-#SBATCH --time=300:00
-#SBATCH --mem-per-cpu=16000
-
-time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_ssm.txt ../input/paper3/marmousi/localminimum_trB.txt ../input/paper3/marmousi/descentsearch_lbfgs_tr.txt ../input/paper3/marmousi/data_snr3.txt -innerproduct_diag_preconditioner_smooth 1 -localminimum_retrospective 0 -verbose 2 -maxThreads 1 -name sstm_lbfgs_trB_snr3
diff --git a/input/paper3/marmousi/cluster/df/cluster_inversion_df1_lbfgs_ls_snr2.sh b/input/paper3/marmousi/cluster/df/cluster_inversion_df1_lbfgs_ls_snr2.sh
new file mode 100644
index 0000000000000000000000000000000000000000..80c6c0a564bb64dbf579afcb624bdc070166e961
--- /dev/null
+++ b/input/paper3/marmousi/cluster/df/cluster_inversion_df1_lbfgs_ls_snr2.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_df1_lbfgs_ls_snr2
+#SBATCH --output=paper2_extended_inversion_df1_lbfgs_ls_snr2.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=300:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_df.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt -localminimum_maxIteration 40 -scale0 0.25 -verbose 2 -maxThreads 1 -name df1_lbfgs_ls_snr2
diff --git a/input/paper3/marmousi/cluster/df/cluster_inversion_df2_lbfgs_ls_snr2.sh b/input/paper3/marmousi/cluster/df/cluster_inversion_df2_lbfgs_ls_snr2.sh
new file mode 100644
index 0000000000000000000000000000000000000000..f5a74fe90160b364232880f2590ac6ab016ec98c
--- /dev/null
+++ b/input/paper3/marmousi/cluster/df/cluster_inversion_df2_lbfgs_ls_snr2.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_df2_lbfgs_ls_snr2
+#SBATCH --output=paper2_extended_inversion_df2_lbfgs_ls_snr2.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=300:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_df.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt -localminimum_maxIteration 40 -scale0 1.0 -verbose 2 -maxThreads 1 -name df2_lbfgs_ls_snr2
diff --git a/input/paper3/marmousi/cluster/df/cluster_inversion_df3_lbfgs_ls_snr2.sh b/input/paper3/marmousi/cluster/df/cluster_inversion_df3_lbfgs_ls_snr2.sh
new file mode 100644
index 0000000000000000000000000000000000000000..af96d28985e8d125da81aca3367313b6e6c24ba6
--- /dev/null
+++ b/input/paper3/marmousi/cluster/df/cluster_inversion_df3_lbfgs_ls_snr2.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_df3_lbfgs_ls_snr2
+#SBATCH --output=paper2_extended_inversion_df3_lbfgs_ls_snr2.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=500:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_df.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt -localminimum_maxIteration 60 -scale0 2.0 -verbose 2 -maxThreads 1 -name df3_lbfgs_ls_snr2
diff --git a/input/paper3/marmousi/cluster/df/cluster_inversion_df4_lbfgs_ls_snr2.sh b/input/paper3/marmousi/cluster/df/cluster_inversion_df4_lbfgs_ls_snr2.sh
new file mode 100644
index 0000000000000000000000000000000000000000..f5e497291aee1e5ea7f6f8337d16ad297d9eac3b
--- /dev/null
+++ b/input/paper3/marmousi/cluster/df/cluster_inversion_df4_lbfgs_ls_snr2.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_df4_lbfgs_ls_snr2
+#SBATCH --output=paper2_extended_inversion_df4_lbfgs_ls_snr2.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=600:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_df.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt -localminimum_maxIteration 80 -scale0 4.0 -verbose 2 -maxThreads 1 -name df4_lbfgs_ls_snr2
diff --git a/input/paper3/marmousi/cluster/df/cluster_inversion_df5_lbfgs_ls_snr2.sh b/input/paper3/marmousi/cluster/df/cluster_inversion_df5_lbfgs_ls_snr2.sh
new file mode 100644
index 0000000000000000000000000000000000000000..30255ce905747be5fe63185d5ff5ea423af59b48
--- /dev/null
+++ b/input/paper3/marmousi/cluster/df/cluster_inversion_df5_lbfgs_ls_snr2.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_df5_lbfgs_ls_snr2
+#SBATCH --output=paper2_extended_inversion_df5_lbfgs_ls_snr2.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1500:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_df.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt -localminimum_maxIteration 200 -scale0 8.0 -verbose 2 -maxThreads 1 -name df5_lbfgs_ls_snr2
diff --git a/input/paper3/marmousi/cluster/df/cluster_inversion_df6_lbfgs_ls_snr2.sh b/input/paper3/marmousi/cluster/df/cluster_inversion_df6_lbfgs_ls_snr2.sh
new file mode 100644
index 0000000000000000000000000000000000000000..1f72e3fed56e44318d5edbc65bd3ee8fe33495d9
--- /dev/null
+++ b/input/paper3/marmousi/cluster/df/cluster_inversion_df6_lbfgs_ls_snr2.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_df6_lbfgs_ls_snr2
+#SBATCH --output=paper2_extended_inversion_df6_lbfgs_ls_snr2.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1500:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_df.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt -localminimum_maxIteration 200 -scale0 16.0 -verbose 2 -maxThreads 1 -name df6_lbfgs_ls_snr2
diff --git a/input/paper3/marmousi/cluster/cluster_inversion_df_lbfgs_ls_snr3.sh b/input/paper3/marmousi/cluster/df/cluster_inversion_df_lbfgs_ls_snr2.sh
similarity index 54%
rename from input/paper3/marmousi/cluster/cluster_inversion_df_lbfgs_ls_snr3.sh
rename to input/paper3/marmousi/cluster/df/cluster_inversion_df_lbfgs_ls_snr2.sh
index 234c14dc5df358f4a42a841fa956c51e7b6a3bd3..ef761de235875ad479ec3a2bce4232092c06c46e 100644
--- a/input/paper3/marmousi/cluster/cluster_inversion_df_lbfgs_ls_snr3.sh
+++ b/input/paper3/marmousi/cluster/df/cluster_inversion_df_lbfgs_ls_snr2.sh
@@ -1,10 +1,10 @@
#!/bin/bash
#
-#SBATCH --job-name=paper2_extended_inversion_df_lbfgs_ls_snr3
-#SBATCH --output=paper2_extended_inversion_df_lbfgs_ls_snr3.log
+#SBATCH --job-name=paper2_extended_inversion_df_lbfgs_ls_snr2
+#SBATCH --output=paper2_extended_inversion_df_lbfgs_ls_snr2.log
#SBATCH --ntasks=1
#SBATCH --time=300:00
#SBATCH --mem-per-cpu=16000
-time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_df.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr3.txt -verbose 2 -maxThreads 1 -name df_lbfgs_ls_snr3
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_df.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt -localminimum_maxIteration 40 -scale0 0.5 -verbose 2 -maxThreads 1 -name df_lbfgs_ls_snr2
diff --git a/input/paper3/marmousi/cluster/df_tv/cluster_inversion_df_lbfgs_ls_snr3_tv.sh b/input/paper3/marmousi/cluster/df_tv/cluster_inversion_df_lbfgs_ls_snr3_tv.sh
new file mode 100644
index 0000000000000000000000000000000000000000..9b07e018a60d7747a63c0880cd8bbbb3a01142d1
--- /dev/null
+++ b/input/paper3/marmousi/cluster/df_tv/cluster_inversion_df_lbfgs_ls_snr3_tv.sh
@@ -0,0 +1,15 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_df_lbfgs_ls_snr3_tv
+#SBATCH --output=paper2_extended_inversion_df_lbfgs_ls_snr3_tv.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1200:00
+#SBATCH --mem-per-cpu=16000
+#
+#SBATCH --array=0-35
+
+ARGS_ADD=(0.4 0.2 0.1 0.05 0.02 0.005)
+ARGS_ES=(0.0 0.25 0.5 1.0 2.0 4.0)
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_df.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr3.txt ../input/paper3/marmousi/regularization_totalvariation.txt -localminimum_meanRelDecreaseThreshold 0.00001 -localminimum_meanRelDecreaseMemory 5 -localminimum_maxIteration 180 -verbose 2 -maxThreads 1 -regularization_lambda ${ARGS_ADD[$SLURM_ARRAY_TASK_ID % 6]} -scale0 ${ARGS_ES[$SLURM_ARRAY_TASK_ID / 6]} -name df_lbfgs_ls_snr3_tv_$SLURM_ARRAY_TASK_ID
diff --git a/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm1_lbfgs_ls_snr2.sh b/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm1_lbfgs_ls_snr2.sh
new file mode 100644
index 0000000000000000000000000000000000000000..ebd716abbec4709e0556dcb6883a62b2052a893d
--- /dev/null
+++ b/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm1_lbfgs_ls_snr2.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_ssm1_lbfgs_ls_snr2
+#SBATCH --output=paper2_extended_inversion_ssm1_lbfgs_ls_snr2.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=360:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_ssm.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt -scale0 0.25 -localminimum_maxIteration 50 -verbose 2 -maxThreads 1 -name ssm1_lbfgs_ls_snr2
diff --git a/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm2_lbfgs_ls_snr2.sh b/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm2_lbfgs_ls_snr2.sh
new file mode 100644
index 0000000000000000000000000000000000000000..53590059f8f575778a8ade06e16ea125abc8f335
--- /dev/null
+++ b/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm2_lbfgs_ls_snr2.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_ssm2_lbfgs_ls_snr2
+#SBATCH --output=paper2_extended_inversion_ssm2_lbfgs_ls_snr2.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=360:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_ssm.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt -scale0 1.0 -localminimum_maxIteration 50 -verbose 2 -maxThreads 1 -name ssm2_lbfgs_ls_snr2
diff --git a/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm3_lbfgs_ls_snr2.sh b/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm3_lbfgs_ls_snr2.sh
new file mode 100644
index 0000000000000000000000000000000000000000..fbe5142a4a0eb094a8b488a9d221b84ab8fa0cd0
--- /dev/null
+++ b/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm3_lbfgs_ls_snr2.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_ssm3_lbfgs_ls_snr2
+#SBATCH --output=paper2_extended_inversion_ssm3_lbfgs_ls_snr2.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=360:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_ssm.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt -scale0 0.75 -localminimum_maxIteration 50 -verbose 2 -maxThreads 1 -name ssm3_lbfgs_ls_snr2
diff --git a/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm4_lbfgs_ls_snr2.sh b/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm4_lbfgs_ls_snr2.sh
new file mode 100644
index 0000000000000000000000000000000000000000..675e5ca9412a6079ceb9b7aec2cbf42722493945
--- /dev/null
+++ b/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm4_lbfgs_ls_snr2.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_ssm4_lbfgs_ls_snr2
+#SBATCH --output=paper2_extended_inversion_ssm4_lbfgs_ls_snr2.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=540:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_ssm.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt -scale0 1.25 -localminimum_maxIteration 75 -verbose 2 -maxThreads 1 -name ssm4_lbfgs_ls_snr2
diff --git a/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm5_lbfgs_ls_snr2.sh b/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm5_lbfgs_ls_snr2.sh
new file mode 100644
index 0000000000000000000000000000000000000000..c9847096540bad08c69f3c1e6214b8b7272c322f
--- /dev/null
+++ b/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm5_lbfgs_ls_snr2.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_ssm5_lbfgs_ls_snr2
+#SBATCH --output=paper2_extended_inversion_ssm5_lbfgs_ls_snr2.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=720:00
+#SBATCH --mem-per-cpu=8000
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_ssm.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt -scale0 2.0 -localminimum_maxIteration 100 -verbose 2 -maxThreads 1 -name ssm5_lbfgs_ls_snr2
diff --git a/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm6_lbfgs_ls_snr2.sh b/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm6_lbfgs_ls_snr2.sh
new file mode 100644
index 0000000000000000000000000000000000000000..f58829c575c9b76dcb44ad3ba1ee3018b3919eea
--- /dev/null
+++ b/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm6_lbfgs_ls_snr2.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_ssm6_lbfgs_ls_snr2
+#SBATCH --output=paper2_extended_inversion_ssm6_lbfgs_ls_snr2.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=720:00
+#SBATCH --mem-per-cpu=8000
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_ssm.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt -scale0 4.0 -localminimum_maxIteration 100 -verbose 2 -maxThreads 1 -name ssm6_lbfgs_ls_snr2
diff --git a/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm7_lbfgs_ls_snr2.sh b/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm7_lbfgs_ls_snr2.sh
new file mode 100644
index 0000000000000000000000000000000000000000..7295b6864eb748551f59dea11f72e7f51959b6b7
--- /dev/null
+++ b/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm7_lbfgs_ls_snr2.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_ssm7_lbfgs_ls_snr2
+#SBATCH --output=paper2_extended_inversion_ssm7_lbfgs_ls_snr2.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=720:00
+#SBATCH --mem-per-cpu=8000
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_ssm.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt -scale0 8.0 -localminimum_maxIteration 100 -verbose 2 -maxThreads 1 -name ssm7_lbfgs_ls_snr2
diff --git a/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm8_lbfgs_ls_snr2.sh b/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm8_lbfgs_ls_snr2.sh
new file mode 100644
index 0000000000000000000000000000000000000000..ac9e7bc241b3cdf6694804177776f6bdc9a5361f
--- /dev/null
+++ b/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm8_lbfgs_ls_snr2.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_ssm8_lbfgs_ls_snr2
+#SBATCH --output=paper2_extended_inversion_ssm8_lbfgs_ls_snr2.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=1080:00
+#SBATCH --mem-per-cpu=8000
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_ssm.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt -scale0 16. -localminimum_maxIteration 150 -verbose 2 -maxThreads 1 -name ssm8_lbfgs_ls_snr2
diff --git a/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm_lbfgs_ls_snr2.sh b/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm_lbfgs_ls_snr2.sh
new file mode 100644
index 0000000000000000000000000000000000000000..ac9a87f0c88108f7779f9ad4c74d0fb40774ffb4
--- /dev/null
+++ b/input/paper3/marmousi/cluster/ssm/cluster_inversion_ssm_lbfgs_ls_snr2.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_ssm_lbfgs_ls_snr2
+#SBATCH --output=paper2_extended_inversion_ssm_lbfgs_ls_snr2.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=360:00
+#SBATCH --mem-per-cpu=16000
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_ssm.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt -scale0 0.5 -localminimum_maxIteration 50 -verbose 2 -maxThreads 1 -name ssm_lbfgs_ls_snr2
diff --git a/input/paper3/marmousi/cluster/tik/cluster_inversion_sst_lbfgs_ls_snr2_tik.sh b/input/paper3/marmousi/cluster/tik/cluster_inversion_sst_lbfgs_ls_snr2_tik.sh
new file mode 100644
index 0000000000000000000000000000000000000000..ef90ddc3c6bec99ea5fcec0929c27474653970cb
--- /dev/null
+++ b/input/paper3/marmousi/cluster/tik/cluster_inversion_sst_lbfgs_ls_snr2_tik.sh
@@ -0,0 +1,14 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_sst_lbfgs_ls_snr2_tik
+#SBATCH --output=paper2_extended_inversion_sst_lbfgs_ls_snr2_tik.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=400:00
+#SBATCH --mem-per-cpu=16000
+#
+#SBATCH --array=0-14
+
+ARGS_R=( 1.0 0.25 0.23 0.21 0.19 0.17 0.15 0.13 0.11 0.09 0.07 0.05 0.03 0.01 0.001 )
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_sst.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt ../input/paper3/marmousi/regularization_tikhonov.txt -verbose 2 -maxThreads 1 -localminimum_maxIteration 60 -regularization_lambda ${ARGS_R[$SLURM_ARRAY_TASK_ID]} -name sst_lbfgs_ls_snr2_tik$SLURM_ARRAY_TASK_ID
diff --git a/input/paper3/marmousi/cluster/tv/cluster_inversion_sst_lbfgs_ls_snr2_tv.sh b/input/paper3/marmousi/cluster/tv/cluster_inversion_sst_lbfgs_ls_snr2_tv.sh
new file mode 100644
index 0000000000000000000000000000000000000000..13229727ce736dfc25e2263c3502792ca33f051e
--- /dev/null
+++ b/input/paper3/marmousi/cluster/tv/cluster_inversion_sst_lbfgs_ls_snr2_tv.sh
@@ -0,0 +1,14 @@
+#!/bin/bash
+#
+#SBATCH --job-name=paper2_extended_inversion_sst_lbfgs_ls_snr2_tv
+#SBATCH --output=paper2_extended_inversion_sst_lbfgs_ls_snr2_tv.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=500:00
+#SBATCH --mem-per-cpu=16000
+#
+#SBATCH --array=0-14
+
+ARGS_R=( 1.0 0.25 0.23 0.21 0.19 0.17 0.15 0.13 0.11 0.09 0.07 0.05 0.03 0.01 0.001 )
+
+time ./inversion ../input/paper3/marmousi/common.txt ../input/paper3/marmousi/inversion.txt ../input/paper3/marmousi/innerproduct_sst.txt ../input/paper3/marmousi/localminimum_classic.txt ../input/paper3/marmousi/descentsearch_lbfgs_ls.txt ../input/paper3/marmousi/linesearch_unit.txt ../input/paper3/marmousi/data_snr2.txt ../input/paper3/marmousi/regularization_totalvariation.txt -verbose 2 -maxThreads 1 -localminimum_maxIteration 60 -regularization_lambda ${ARGS_R[$SLURM_ARRAY_TASK_ID]} -name sst_lbfgs_ls_snr2_tv$SLURM_ARRAY_TASK_ID
diff --git a/input/paper3/marmousi/common.txt b/input/paper3/marmousi/common.txt
index 42ea1a3118820f9a6a3d8ee581955db8f6569e43..8d8545fcb16f5742e29556360a50551dc92e4707 100644
--- a/input/paper3/marmousi/common.txt
+++ b/input/paper3/marmousi/common.txt
@@ -4,7 +4,6 @@ configuration = surface_acquisition
#
#Parametrization
parametrization = slowness2_real
-model_reference_frequency = 1.
#
xoffset = 0
Ler = 8.712
diff --git a/input/paper3/marmousi/data_snr2.txt b/input/paper3/marmousi/data_snr2.txt
new file mode 100644
index 0000000000000000000000000000000000000000..90ca7c2dd0c24d581d9ea0e8729d63fd6eaea68f
--- /dev/null
+++ b/input/paper3/marmousi/data_snr2.txt
@@ -0,0 +1,2 @@
+#Data
+data = paper2_extended_synthetics_data_snr2f
diff --git a/input/paper3/marmousi/data_snr3.txt b/input/paper3/marmousi/data_snr3.txt
deleted file mode 100644
index f8c2c28b09dbbd16aa93d6f363f4a768ae6d2bc4..0000000000000000000000000000000000000000
--- a/input/paper3/marmousi/data_snr3.txt
+++ /dev/null
@@ -1,4 +0,0 @@
-#Data
-data = paper2_extended_synthetics_data_snr3f
-#Local minimum search
-localminimum_maxIteration = 30
diff --git a/input/paper3/marmousi/error/df/df1_lbfgs_ls_snr2_error.txt b/input/paper3/marmousi/error/df/df1_lbfgs_ls_snr2_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f20b0d363e6a102193c300a12085892f0c7f1895
--- /dev/null
+++ b/input/paper3/marmousi/error/df/df1_lbfgs_ls_snr2_error.txt
@@ -0,0 +1,15 @@
+name = df1_lbfgs_ls_snr2_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/DF_LBFGS_LS/
+inverted_model_name = paper2_extended_df1_lbfgs_ls_snr2
+inverted_model_prefix = g0s0
+inverted_model_number = 40
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/df/df2_lbfgs_ls_snr2_error.txt b/input/paper3/marmousi/error/df/df2_lbfgs_ls_snr2_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..54317de1e9647fb754ff8f0992ad1a7e2824edef
--- /dev/null
+++ b/input/paper3/marmousi/error/df/df2_lbfgs_ls_snr2_error.txt
@@ -0,0 +1,15 @@
+name = df2_lbfgs_ls_snr2_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/DF_LBFGS_LS/
+inverted_model_name = paper2_extended_df2_lbfgs_ls_snr2
+inverted_model_prefix = g0s0
+inverted_model_number = 40
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/df/df3_lbfgs_ls_snr2_error.txt b/input/paper3/marmousi/error/df/df3_lbfgs_ls_snr2_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..948e44029104100b34c6b5671a6b32cd287481f8
--- /dev/null
+++ b/input/paper3/marmousi/error/df/df3_lbfgs_ls_snr2_error.txt
@@ -0,0 +1,18 @@
+name = df3_lbfgs_ls_snr2_error
+#name = df3_lbfgs_ls_snr2_error_horizontal
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+error_mask_type = none
+#error_mask_type = horizontal
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/DF_LBFGS_LS/
+inverted_model_name = paper2_extended_df3_lbfgs_ls_snr2
+inverted_model_prefix = g0s0
+inverted_model_number = 60
+#Output
+write_error_field = 1
diff --git a/input/paper3/marmousi/error/df/df4_lbfgs_ls_snr2_error.txt b/input/paper3/marmousi/error/df/df4_lbfgs_ls_snr2_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..82ba77bb342d67393a5a1a612ba51202d86bad0f
--- /dev/null
+++ b/input/paper3/marmousi/error/df/df4_lbfgs_ls_snr2_error.txt
@@ -0,0 +1,15 @@
+name = df4_lbfgs_ls_snr2_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/DF_LBFGS_LS/
+inverted_model_name = paper2_extended_df4_lbfgs_ls_snr2
+inverted_model_prefix = g0s0
+inverted_model_number = 80
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/df/df5_lbfgs_ls_snr2_error.txt b/input/paper3/marmousi/error/df/df5_lbfgs_ls_snr2_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f1c689e1452ab56cd63868c50465beb7d66bf8db
--- /dev/null
+++ b/input/paper3/marmousi/error/df/df5_lbfgs_ls_snr2_error.txt
@@ -0,0 +1,15 @@
+name = df5_lbfgs_ls_snr2_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/DF_LBFGS_LS/
+inverted_model_name = paper2_extended_df5_lbfgs_ls_snr2
+inverted_model_prefix = g0s0
+inverted_model_number = 186
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/df/df6_lbfgs_ls_snr2_error.txt b/input/paper3/marmousi/error/df/df6_lbfgs_ls_snr2_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..494c4db681bd3e753bbb149e2b867483b1a13f67
--- /dev/null
+++ b/input/paper3/marmousi/error/df/df6_lbfgs_ls_snr2_error.txt
@@ -0,0 +1,15 @@
+name = df6_lbfgs_ls_snr2_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/DF_LBFGS_LS/
+inverted_model_name = paper2_extended_df6_lbfgs_ls_snr2
+inverted_model_prefix = g0s0
+inverted_model_number = 200
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/df/df_lbfgs_ls_snr2_error.txt b/input/paper3/marmousi/error/df/df_lbfgs_ls_snr2_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f16471f6ee440f2af1ffe9101b4a6ed4a87a9ed8
--- /dev/null
+++ b/input/paper3/marmousi/error/df/df_lbfgs_ls_snr2_error.txt
@@ -0,0 +1,15 @@
+name = df_lbfgs_ls_snr2_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/DF_LBFGS_LS/
+inverted_model_name = paper2_extended_df_lbfgs_ls_snr2
+inverted_model_prefix = g0s0
+inverted_model_number = 40
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/ssm/ssm1_lbfgs_ls_snr3_error.txt b/input/paper3/marmousi/error/ssm/ssm1_lbfgs_ls_snr3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..07b4c79a60f8bfea29e28a477013f984747e25b8
--- /dev/null
+++ b/input/paper3/marmousi/error/ssm/ssm1_lbfgs_ls_snr3_error.txt
@@ -0,0 +1,15 @@
+name = ssm1_lbfgs_ls_snr2_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/SSM_LBFGS_LS//
+inverted_model_name = paper2_extended_ssm1_lbfgs_ls_snr2
+inverted_model_prefix = g0s0
+inverted_model_number = 50
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/ssm/ssm2_lbfgs_ls_snr3_error.txt b/input/paper3/marmousi/error/ssm/ssm2_lbfgs_ls_snr3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..356bdc0f72b8c851f7f706327e6fb3d826b5f491
--- /dev/null
+++ b/input/paper3/marmousi/error/ssm/ssm2_lbfgs_ls_snr3_error.txt
@@ -0,0 +1,15 @@
+name = ssm2_lbfgs_ls_snr2_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/SSM_LBFGS_LS//
+inverted_model_name = paper2_extended_ssm2_lbfgs_ls_snr2
+inverted_model_prefix = g0s0
+inverted_model_number = 50
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/ssm/ssm3_lbfgs_ls_snr3_error.txt b/input/paper3/marmousi/error/ssm/ssm3_lbfgs_ls_snr3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a9aa415240a075db7675aac26c450e6f41c88706
--- /dev/null
+++ b/input/paper3/marmousi/error/ssm/ssm3_lbfgs_ls_snr3_error.txt
@@ -0,0 +1,15 @@
+name = ssm3_lbfgs_ls_snr2_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/SSM_LBFGS_LS/
+inverted_model_name = paper2_extended_ssm3_lbfgs_ls_snr2
+inverted_model_prefix = g0s0
+inverted_model_number = 50
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/ssm/ssm4_lbfgs_ls_snr3_error.txt b/input/paper3/marmousi/error/ssm/ssm4_lbfgs_ls_snr3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..40b91653f5f4fc7997dac2fd7858e269b09f1e7b
--- /dev/null
+++ b/input/paper3/marmousi/error/ssm/ssm4_lbfgs_ls_snr3_error.txt
@@ -0,0 +1,15 @@
+name = ssm4_lbfgs_ls_snr2_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/SSM_LBFGS_LS//
+inverted_model_name = paper2_extended_ssm4_lbfgs_ls_snr2
+inverted_model_prefix = g0s0
+inverted_model_number = 75
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/ssm/ssm5_lbfgs_ls_snr3_error.txt b/input/paper3/marmousi/error/ssm/ssm5_lbfgs_ls_snr3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..772472a1bb7d98ecf6c2cc0c0ba92318ff36a700
--- /dev/null
+++ b/input/paper3/marmousi/error/ssm/ssm5_lbfgs_ls_snr3_error.txt
@@ -0,0 +1,15 @@
+name = ssm5_lbfgs_ls_snr2_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/SSM_LBFGS_LS//
+inverted_model_name = paper2_extended_ssm5_lbfgs_ls_snr2
+inverted_model_prefix = g0s0
+inverted_model_number = 100
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/ssm/ssm6_lbfgs_ls_snr3_error.txt b/input/paper3/marmousi/error/ssm/ssm6_lbfgs_ls_snr3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..86340a74e069076382d19863de0fc1e8494ba507
--- /dev/null
+++ b/input/paper3/marmousi/error/ssm/ssm6_lbfgs_ls_snr3_error.txt
@@ -0,0 +1,15 @@
+name = ssm6_lbfgs_ls_snr2_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/SSM_LBFGS_LS//
+inverted_model_name = paper2_extended_ssm6_lbfgs_ls_snr2
+inverted_model_prefix = g0s0
+inverted_model_number = 100
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/ssm/ssm7_lbfgs_ls_snr3_error.txt b/input/paper3/marmousi/error/ssm/ssm7_lbfgs_ls_snr3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5b722bff416e52d78e7730663e201d133acc226e
--- /dev/null
+++ b/input/paper3/marmousi/error/ssm/ssm7_lbfgs_ls_snr3_error.txt
@@ -0,0 +1,15 @@
+name = ssm7_lbfgs_ls_snr2_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/SSM_LBFGS_LS//
+inverted_model_name = paper2_extended_ssm7_lbfgs_ls_snr2
+inverted_model_prefix = g0s0
+inverted_model_number = 100
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/ssm/ssm8_lbfgs_ls_snr3_error.txt b/input/paper3/marmousi/error/ssm/ssm8_lbfgs_ls_snr3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..83c2e6c42f9d0e3bbb2e134b907772913529d861
--- /dev/null
+++ b/input/paper3/marmousi/error/ssm/ssm8_lbfgs_ls_snr3_error.txt
@@ -0,0 +1,15 @@
+name = ssm8_lbfgs_ls_snr2_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/SSM_LBFGS_LS//
+inverted_model_name = paper2_extended_ssm8_lbfgs_ls_snr2
+inverted_model_prefix = g0s0
+inverted_model_number = 150
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/ssm/ssm_lbfgs_ls_snr3_error.txt b/input/paper3/marmousi/error/ssm/ssm_lbfgs_ls_snr3_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5739ed84ed7471dae01ac5288d88023629eadcf2
--- /dev/null
+++ b/input/paper3/marmousi/error/ssm/ssm_lbfgs_ls_snr3_error.txt
@@ -0,0 +1,15 @@
+name = ssm_lbfgs_ls_snr2_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/SSM_LBFGS_LS/
+inverted_model_name = paper2_extended_ssm_lbfgs_ls_snr2
+inverted_model_prefix = g0s0
+inverted_model_number = 50
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/sst_lbfgs_ls_snr2_error.txt b/input/paper3/marmousi/error/sst_lbfgs_ls_snr2_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e6975aef81f830e1718334505f18091166a12649
--- /dev/null
+++ b/input/paper3/marmousi/error/sst_lbfgs_ls_snr2_error.txt
@@ -0,0 +1,15 @@
+name = sst_lbfgs_ls_snr2_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/SST_LBFGS_LS/
+inverted_model_name = paper2_extended_sst_lbfgs_ls_snr2
+inverted_model_prefix = g0s0
+inverted_model_number = 50
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/tik/sst_lbfgs_ls_snr2_tik_error.txt b/input/paper3/marmousi/error/tik/sst_lbfgs_ls_snr2_tik_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ac5c6f8c2a144eef967e9d0861943486b3779708
--- /dev/null
+++ b/input/paper3/marmousi/error/tik/sst_lbfgs_ls_snr2_tik_error.txt
@@ -0,0 +1,30 @@
+name = sst_lbfgs_ls_snr2_tik_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/TIK/
+inverted_model_number = 14
+inverted_model_list = 1
+inverted_model_name0 = paper2_extended_sst_lbfgs_ls_snr2_tik0_mg0
+inverted_model_name1 = paper2_extended_sst_lbfgs_ls_snr2_tik1_mg0
+inverted_model_name2 = paper2_extended_sst_lbfgs_ls_snr2_tik2_mg0
+inverted_model_name3 = paper2_extended_sst_lbfgs_ls_snr2_tik3_mg0
+inverted_model_name4 = paper2_extended_sst_lbfgs_ls_snr2_tik4_mg0
+inverted_model_name5 = paper2_extended_sst_lbfgs_ls_snr2_tik5_mg0
+inverted_model_name6 = paper2_extended_sst_lbfgs_ls_snr2_tik6_mg0
+inverted_model_name7 = paper2_extended_sst_lbfgs_ls_snr2_tik7_mg0
+inverted_model_name8 = paper2_extended_sst_lbfgs_ls_snr2_tik8_mg0
+inverted_model_name9 = paper2_extended_sst_lbfgs_ls_snr2_tik9_mg0
+inverted_model_name10 = paper2_extended_sst_lbfgs_ls_snr2_tik10_mg0
+inverted_model_name11 = paper2_extended_sst_lbfgs_ls_snr2_tik11_mg0
+inverted_model_name12 = paper2_extended_sst_lbfgs_ls_snr2_tik12_mg0
+inverted_model_name13 = paper2_extended_sst_lbfgs_ls_snr2_tik13_mg0
+inverted_model_name14 = paper2_extended_sst_lbfgs_ls_snr2_tik14_mg0
+#
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/tik/sst_lbfgs_ls_snr3_tik11_error.txt b/input/paper3/marmousi/error/tik/sst_lbfgs_ls_snr3_tik11_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b9cb52f6b0b961e8d17e09b5dd1bce5a41bf8515
--- /dev/null
+++ b/input/paper3/marmousi/error/tik/sst_lbfgs_ls_snr3_tik11_error.txt
@@ -0,0 +1,15 @@
+name = sst_lbfgs_ls_snr3_tik11_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = root_mean_squared
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3/TC1/SNR3/SST_LBFGS_LS_SNR3_TIK11/
+inverted_model_name = paper2_extended_sst_lbfgs_ls_snr3_tik11
+inverted_model_prefix = g0s0
+inverted_model_number = 20
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/tv/sst_lbfgs_ls_snr2_tv11_error.txt b/input/paper3/marmousi/error/tv/sst_lbfgs_ls_snr2_tv11_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ead0ce5940a7ee5dd6a193309ca26daa0874e1dc
--- /dev/null
+++ b/input/paper3/marmousi/error/tv/sst_lbfgs_ls_snr2_tv11_error.txt
@@ -0,0 +1,15 @@
+name = sst_lbfgs_ls_snr2_error
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/SST_LBFGS_LS_TV/
+inverted_model_name = paper2_extended_sst_lbfgs_ls_snr2_tv11
+inverted_model_prefix = g0s0
+inverted_model_number = 60
+#Output
+write_error_field = 0
diff --git a/input/paper3/marmousi/error/tv/sst_lbfgs_ls_snr2_tv_error.txt b/input/paper3/marmousi/error/tv/sst_lbfgs_ls_snr2_tv_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..785a7cecd5b5c6d9c768168d26db070f5cf4c5c0
--- /dev/null
+++ b/input/paper3/marmousi/error/tv/sst_lbfgs_ls_snr2_tv_error.txt
@@ -0,0 +1,33 @@
+name = sst_lbfgs_ls_snr2_tv_error
+#name = sst_lbfgs_ls_snr2_tv_error_horizontal
+#Configuration
+unknown = subsurface
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#Error
+error_type = relative_mean
+error_mask_type = none
+#error_mask_type = horizontal
+integration_degree = 8
+#Input
+inverted_model_path = ../../Manuscript/Part3bis/TC1/SNR2/SST_LBFGS_LS_TV/
+inverted_model_number = 14
+inverted_model_list = 1
+inverted_model_name0 = paper2_extended_sst_lbfgs_ls_snr2_tv0_mg0
+inverted_model_name1 = paper2_extended_sst_lbfgs_ls_snr2_tv1_mg0
+inverted_model_name2 = paper2_extended_sst_lbfgs_ls_snr2_tv2_mg0
+inverted_model_name3 = paper2_extended_sst_lbfgs_ls_snr2_tv3_mg0
+inverted_model_name4 = paper2_extended_sst_lbfgs_ls_snr2_tv4_mg0
+inverted_model_name5 = paper2_extended_sst_lbfgs_ls_snr2_tv5_mg0
+inverted_model_name6 = paper2_extended_sst_lbfgs_ls_snr2_tv6_mg0
+inverted_model_name7 = paper2_extended_sst_lbfgs_ls_snr2_tv7_mg0
+inverted_model_name8 = paper2_extended_sst_lbfgs_ls_snr2_tv8_mg0
+inverted_model_name9 = paper2_extended_sst_lbfgs_ls_snr2_tv9_mg0
+inverted_model_name10 = paper2_extended_sst_lbfgs_ls_snr2_tv10_mg0
+inverted_model_name11 = paper2_extended_sst_lbfgs_ls_snr2_tv11_mg0
+inverted_model_name12 = paper2_extended_sst_lbfgs_ls_snr2_tv12_mg0
+inverted_model_name13 = paper2_extended_sst_lbfgs_ls_snr2_tv13_mg0
+inverted_model_name14 = paper2_extended_sst_lbfgs_ls_snr2_tv14_mg0
+#
+#Output
+write_error_field = 1
diff --git a/input/paper3/marmousi/innerproduct_df.txt b/input/paper3/marmousi/innerproduct_df.txt
index 1c5b3546997274c07dda20f111f7cae5ab7b0b3c..878a3eac60cfefd3cee54806b3fc5d31c92e7f4a 100644
--- a/input/paper3/marmousi/innerproduct_df.txt
+++ b/input/paper3/marmousi/innerproduct_df.txt
@@ -1,8 +1,8 @@
#Inner product
-scale0 = 0.5
innerproduct = sobolev_df
innerproduct_weight_bnd = 0.
-innerproduct_diag_preconditioner = 1
+innerproduct_diag_preconditioner_smooth = 0
+innerproduct_diag_preconditioner_scale = 1
innerproduct_preconditioner_ref0 = 5400
innerproduct_stabilization = 5400
innerproduct_beta = 0.075
diff --git a/input/paper3/marmousi/innerproduct_ssm.txt b/input/paper3/marmousi/innerproduct_ssm.txt
index d218f3dd3cf4adf77fd27403195647a16d431e70..d004704587773f1be8bc0f1e1d7b3ad37eb249e7 100644
--- a/input/paper3/marmousi/innerproduct_ssm.txt
+++ b/input/paper3/marmousi/innerproduct_ssm.txt
@@ -1,7 +1,7 @@
#Inner product
-scale0 = 0.25
innerproduct = sobolev_l2
innerproduct_weight_bnd = 0.
-innerproduct_diag_preconditioner = 1
+innerproduct_diag_preconditioner_smooth = 0
+innerproduct_diag_preconditioner_scale = 1
innerproduct_preconditioner_ref0 = 5400
innerproduct_stabilization = 5400
diff --git a/input/paper3/marmousi/innerproduct_sst.txt b/input/paper3/marmousi/innerproduct_sst.txt
index 19a42e35d1c309430817927ae69c3b713f509afd..07828fae917cfbd516c0959734e0a69eb92c1c9a 100644
--- a/input/paper3/marmousi/innerproduct_sst.txt
+++ b/input/paper3/marmousi/innerproduct_sst.txt
@@ -1,7 +1,8 @@
#Inner product
-scale0 = 0.0
innerproduct = sobolev_l2
innerproduct_weight_bnd = 0.
-innerproduct_diag_preconditioner = 1
+innerproduct_diag_preconditioner_smooth = 0
+innerproduct_diag_preconditioner_scale = 1
innerproduct_preconditioner_ref0 = 5400
innerproduct_stabilization = 5400
+scale0 = 0.0
diff --git a/input/paper3/marmousi/inversion.txt b/input/paper3/marmousi/inversion.txt
index 78c11cf5bff218022c5b82994d21a12452ac1aee..0b10cc031365a15a599d2b3541d0845cfdea8a21 100644
--- a/input/paper3/marmousi/inversion.txt
+++ b/input/paper3/marmousi/inversion.txt
@@ -33,12 +33,8 @@ wave_FunctionSpaceDegree0 = 2
wave_FunctionSpaceDegree1 = 3
wave_FunctionSpaceDegree2 = 4
#Model
-innerproduct_integration_degree_blk0 = 5
-innerproduct_integration_degree_bnd0 = 6
-innerproduct_integration_degree_blk1 = 7
-innerproduct_integration_degree_bnd1 = 8
-innerproduct_integration_degree_blk2 = 9
-innerproduct_integration_degree_bnd2 = 10
+innerproduct_integration_degree_blk = 7
+innerproduct_integration_degree_bnd = 8
#
model_FunctionSpaceType = HierarchicalH1
model_FunctionSpaceDegree = 1
@@ -50,3 +46,7 @@ objective = l2distance
globalminimum_n_scale=1
globalminimumsearch = sequentialscale
globalminimum_relDecreaseThreshold = 0.0
+#
+#Local minimum search
+localminimum_meanRelDecreaseThreshold = 1e-10
+localminimum_meanRelDecreaseMemory = 0
diff --git a/input/paper3/marmousi/localminimum_trB.txt b/input/paper3/marmousi/localminimum_trB.txt
deleted file mode 100644
index 9f334ca51327ce0f15f545dcf29ccc60829e1b11..0000000000000000000000000000000000000000
--- a/input/paper3/marmousi/localminimum_trB.txt
+++ /dev/null
@@ -1,9 +0,0 @@
-#Local minimum search
-localminimumsearch = yuanfan
-localminimum_initMu = 1
-localminimum_c0 = 0.0001
-localminimum_c1 = 0.75
-localminimum_c2 = 0.75
-localminimum_c3 = 0.25
-localminimum_c4 = 2.
-localminimum_writeInterval = 1
diff --git a/input/paper3/marmousi/marmousi_slowness2.csv b/input/paper3/marmousi/marmousi_slowness2.csv
new file mode 100644
index 0000000000000000000000000000000000000000..845678d26c4443e287d2597931c6d35671e1e30b
--- /dev/null
+++ b/input/paper3/marmousi/marmousi_slowness2.csv
@@ -0,0 +1,125 @@
+386 122
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3.620244989218910359e-01 3.620244989218910359e-01 3.620244989218910359e-01 4.046643228509086976e-01 4.046643228509086976e-01 4.046643228509086976e-01 4.046643228509086976e-01 3.411870032317232959e-01 3.411870032317232959e-01 3.620244989218910359e-01 3.620244989218910359e-01 3.620244989218910359e-01 3.333528900362154879e-01 3.333528900362154879e-01 3.333528900362154879e-01 3.896502655076908850e-01 3.534663026435038158e-01 3.534663026435038158e-01 3.534663026435038158e-01 3.848308899137362626e-01 3.848308899137362626e-01 4.205631845717237027e-01 4.205631845717237027e-01 4.205631845717237027e-01 4.205631845717237027e-01 3.848308899137362626e-01 3.848308899137362626e-01 3.848308899137362626e-01 3.848308899137362626e-01 3.848308899137362626e-01 3.333528900362154879e-01 3.333528900362154879e-01 3.896502655076908850e-01 4.151610160484642265e-01 3.848308899137362626e-01 3.848308899137362626e-01 2.455600291135970892e-01 2.455600291135970892e-01 2.455600291135970892e-01 2.455600291135970892e-01 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4.046643228509086976e-01 4.046643228509086976e-01 4.046643228509086976e-01 3.411870032317232959e-01 3.411870032317232959e-01 3.620244989218910359e-01 3.620244989218910359e-01 3.620244989218910359e-01 3.620244989218910359e-01 3.620244989218910359e-01 3.620244989218910359e-01 3.620244989218910359e-01 3.620244989218910359e-01 3.333528900362154879e-01 3.333528900362154879e-01 3.333528900362154879e-01 3.333528900362154879e-01 3.333528900362154879e-01 3.333528900362154879e-01 3.333528900362154879e-01 3.333528900362154879e-01 3.333528900362154879e-01 3.333528900362154879e-01 3.333528900362154879e-01 3.333528900362154879e-01 3.333528900362154879e-01 3.333528900362154879e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.896502655076908850e-01 3.534663026435038158e-01 3.534663026435038158e-01 3.534663026435038158e-01 3.534663026435038158e-01 3.534663026435038158e-01 3.534663026435038158e-01 3.534663026435038158e-01 3.534663026435038158e-01 3.534663026435038158e-01 3.534663026435038158e-01 3.534663026435038158e-01 3.848308899137362626e-01 3.848308899137362626e-01 3.848308899137362626e-01 3.848308899137362626e-01 3.848308899137362626e-01 3.848308899137362626e-01 4.205631845717237027e-01 4.205631845717237027e-01 4.205631845717237027e-01 4.205631845717237027e-01 3.848308899137362626e-01 3.848308899137362626e-01 3.848308899137362626e-01 3.848308899137362626e-01 3.848308899137362626e-01 3.848308899137362626e-01 3.848308899137362626e-01 3.333528900362154879e-01 3.333528900362154879e-01 3.333528900362154879e-01 3.896502655076908850e-01 4.151610160484642265e-01 3.848308899137362626e-01 3.848308899137362626e-01 3.848308899137362626e-01 2.455600291135970892e-01 2.455600291135970892e-01 2.455600291135970892e-01 2.384185791015625000e-01 2.384185791015625000e-01 2.384185791015625000e-01 2.505007510012515204e-01 2.505007510012515204e-01
diff --git a/input/paper3/marmousi/regularization_tikhonov.txt b/input/paper3/marmousi/regularization_tikhonov.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ab0c251d88261c3e5225d82512cc2367c3c125fc
--- /dev/null
+++ b/input/paper3/marmousi/regularization_tikhonov.txt
@@ -0,0 +1,4 @@
+#Regularization
+regularization = tikhonov
+regularization_integration_degree_blk = 2
+regularization_integration_degree_bnd = 0
diff --git a/input/paper3/marmousi/regularization_totalvariation.txt b/input/paper3/marmousi/regularization_totalvariation.txt
new file mode 100644
index 0000000000000000000000000000000000000000..88d0c29ad576c30479908dd8ae3a4b3ad6af7328
--- /dev/null
+++ b/input/paper3/marmousi/regularization_totalvariation.txt
@@ -0,0 +1,5 @@
+#Regularization
+regularization = totalvariation
+regularization_beta = 1e-4
+regularization_integration_degree_blk = 4
+regularization_integration_degree_bnd = 0
diff --git a/input/paper3/marmousi/time/cluster/cluster_initial.sh b/input/paper3/marmousi/time/cluster/cluster_initial.sh
new file mode 100644
index 0000000000000000000000000000000000000000..9ec3133c972b48d69808ed64d002d12b69080d4c
--- /dev/null
+++ b/input/paper3/marmousi/time/cluster/cluster_initial.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=timewave_initial
+#SBATCH --output=timewave_initial.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=400:00
+#SBATCH --mem-per-cpu=16000
+
+time ./time_synthetics_wave ../input/paper3/marmousi/time/common.txt ../input/paper3/marmousi/time/initial.txt -maxThreads 1 -verbose 2
diff --git a/input/paper3/marmousi/time/cluster/cluster_inverse.sh b/input/paper3/marmousi/time/cluster/cluster_inverse.sh
new file mode 100644
index 0000000000000000000000000000000000000000..e0ff50a7699403237b0023ea1854869923869375
--- /dev/null
+++ b/input/paper3/marmousi/time/cluster/cluster_inverse.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=timewave_inverse
+#SBATCH --output=timewave_inverse.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=400:00
+#SBATCH --mem-per-cpu=16000
+
+time ./time_synthetics_wave ../input/paper3/marmousi/time/common.txt ../input/paper3/marmousi/time/inverse.txt -maxThreads 1 -verbose 2
diff --git a/input/paper3/marmousi/time/cluster/cluster_syntetics.sh b/input/paper3/marmousi/time/cluster/cluster_syntetics.sh
new file mode 100644
index 0000000000000000000000000000000000000000..549d3191e5ea52bbaf97c25e234019a3839066fb
--- /dev/null
+++ b/input/paper3/marmousi/time/cluster/cluster_syntetics.sh
@@ -0,0 +1,10 @@
+#!/bin/bash
+#
+#SBATCH --job-name=timewave_synthetics
+#SBATCH --output=timewave_synthetics.log
+
+#SBATCH --ntasks=1
+#SBATCH --time=400:00
+#SBATCH --mem-per-cpu=16000
+
+time ./time_synthetics_wave ../input/paper3/marmousi/time/common.txt ../input/paper3/marmousi/time/synthetics.txt -maxThreads 1 -verbose 2
diff --git a/input/paper3/marmousi/time/common.txt b/input/paper3/marmousi/time/common.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fa56945597c59b9076f541c53033b5df9c0d1315
--- /dev/null
+++ b/input/paper3/marmousi/time/common.txt
@@ -0,0 +1,37 @@
+prename = paper2_extended_timewave_
+#Configuration
+configuration = surface_acquisition
+#
+#Parametrization
+parametrization = slowness2_real
+model_reference_frequency = 1.
+#
+#Equation
+physic = acoustic
+equation = simplewave
+#
+xoffset = 0
+Ler = 8.712
+np = 243
+re_start = 0
+re_skip = 1
+#em_start = 121
+#em_skip = 243
+em_start = 0
+em_skip = 2
+ReceiverOnEmitter=0
+ymax = 0.216
+ymin = 0.072
+L = 9.192
+H = 2.904
+#
+Re(m_superc0) = 0.44
+Im(m_superc0) = 0.
+Re(m_subc0) = 0.25
+Im(m_subc0) = 0.
+#
+#Discretization
+h = 0.036
+integration_type = Gauss
+#Wave
+wave_FunctionSpaceType = HierarchicalH1
diff --git a/input/paper3/marmousi/time/initial.txt b/input/paper3/marmousi/time/initial.txt
new file mode 100644
index 0000000000000000000000000000000000000000..705068b0d1d9b842f96ed46f7fe2b3a2a57b4894
--- /dev/null
+++ b/input/paper3/marmousi/time/initial.txt
@@ -0,0 +1,20 @@
+name = initial
+#Configuration
+unknown = none
+m0_typec0 = file.pos
+m0_pathc0 = ../../Manuscript/Part3bis/TC1/SNR2/SST_LBFGS_LS_TV/paper2_extended_sst_lbfgs_ls_snr2_tv10_m_initial
+#m0_pathc0 = paper2_extended_m_initial
+#
+#Wave
+wave_FunctionSpaceDegree = 2
+#Equation
+equation_integration_degree_blk = 6
+equation_integration_degree_bnd = 7
+newmark_beta = 0.25
+newmark_gamma = 0.5
+newmark_dt = 4e-3
+newmark_T = 8.0
+excitation_fm = 6.
+excitation_offset = 0.3
+#Output
+write_model_field = 1
diff --git a/input/paper3/marmousi/time/inverse.txt b/input/paper3/marmousi/time/inverse.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3e1c514711e802a46351b04030c5b5e248a0a72e
--- /dev/null
+++ b/input/paper3/marmousi/time/inverse.txt
@@ -0,0 +1,20 @@
+name = inverse
+#Configuration
+unknown = none
+m0_typec0 = file.pos
+m0_pathc0 = ../../Manuscript/Part3bis/TC1/SNR2/SST_LBFGS_LS_TV/paper2_extended_sst_lbfgs_ls_snr2_tv10_mg0
+#m0_pathc0 = paper2_extended_sst_lbfgs_ls_snr2_tv10_mg0
+#
+#Wave
+wave_FunctionSpaceDegree = 2
+#Equation
+equation_integration_degree_blk = 6
+equation_integration_degree_bnd = 7
+newmark_beta = 0.25
+newmark_gamma = 0.5
+newmark_dt = 4e-3
+newmark_T = 8.0
+excitation_fm = 6.
+excitation_offset = 0.3
+#Output
+write_model_field = 1
diff --git a/input/paper3/marmousi/time/synthetics.txt b/input/paper3/marmousi/time/synthetics.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f07f56e5f4171d04f526aa7d273917886bb3b208
--- /dev/null
+++ b/input/paper3/marmousi/time/synthetics.txt
@@ -0,0 +1,19 @@
+name = synthetics
+#Configuration
+unknown = none
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#
+#Wave
+wave_FunctionSpaceDegree = 2
+#Equation
+equation_integration_degree_blk = 6
+equation_integration_degree_bnd = 7
+newmark_beta = 0.25
+newmark_gamma = 0.5
+newmark_dt = 4e-3
+newmark_T = 8.0
+excitation_fm = 6.
+excitation_offset = 0.3
+#Output
+write_model_field = 1
diff --git a/input/paper3/validation/common.txt b/input/paper3/validation/common.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a610db60313d84418a5a0e8a15120dbfb8004a87
--- /dev/null
+++ b/input/paper3/validation/common.txt
@@ -0,0 +1,33 @@
+prename = validation_
+#Equation
+physic = acoustic
+equation = simplewave
+equation_boundary = 1
+#
+#Parametrization
+parametrization = natural
+model_reference_frequency = 1.
+#
+#Configuration
+configuration = volume_acquisition
+unknown = background
+Re(mbc0) = 0.
+Im(mbc0) = 0.
+#
+xe = 5.0
+xr = 20.0
+ye = 0.0
+yr = 0.0
+nxe = 11
+nxr = 11
+nye = 0
+nyr = 0
+He = 15.0
+Hr = 15.0
+Le = 0.0
+Lr = 0.0
+L = 25.0
+H = 25.0
+#
+#Frequency
+n_freq=0
diff --git a/input/paper3/validation/directional_field.txt b/input/paper3/validation/directional_field.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1f9e4577f32e5ec8637406f13c901ae6bb8023fd
--- /dev/null
+++ b/input/paper3/validation/directional_field.txt
@@ -0,0 +1,29 @@
+#Sweeper
+sweeper_m_type = gaussian
+sweeper_m_a0 = 0.04
+sweeper_m_aN = 0.64
+sweeper_m_N = 10
+sweeper_m_x0 = 12.5
+sweeper_m_y0 = 12.5
+sweeper_m_minf = 1.
+sweeper_m_mg = 0.2
+#
+sweeper_dm_type = derivative_gaussian
+sweeper_dm_a0 = 0.04
+sweeper_dm_aN = 0.64
+sweeper_dm_N = 10
+sweeper_dm_x0 = 12.5
+sweeper_dm_y0 = 12.5
+sweeper_dm_minf = 1.
+sweeper_dm_mg = 0.2
+#
+eps = 1e-5
+#
+#Frequency
+n_group=1
+n_freq0=0
+#
+#Discretization
+model_FunctionSpaceType = HierarchicalH1
+model_FunctionSpaceDegree = 1
+h = 0.25
diff --git a/input/paper3/validation/tikhonov.txt b/input/paper3/validation/tikhonov.txt
new file mode 100644
index 0000000000000000000000000000000000000000..18e6102f966c8a3423022be61c9edc0ae1ff8992
--- /dev/null
+++ b/input/paper3/validation/tikhonov.txt
@@ -0,0 +1,8 @@
+name = directional_field_tikhonov
+#
+#Regularization
+regularization = tikhonov
+regularization_lambda = 1.0
+integration_type = Gauss
+regularization_integration_degree_blk = 10
+regularization_integration_degree_bnd = 0
diff --git a/input/paper3/validation/totalvariation.txt b/input/paper3/validation/totalvariation.txt
new file mode 100644
index 0000000000000000000000000000000000000000..92604dea7a9d7209b35c5f164eba5fee963cdcd2
--- /dev/null
+++ b/input/paper3/validation/totalvariation.txt
@@ -0,0 +1,9 @@
+name = directional_field_totalvariation
+#
+#Regularization
+regularization = totalvariation
+regularization_lambda = 1.0
+regularization_beta = 1e-12
+integration_type = Gauss
+regularization_integration_degree_blk = 10
+regularization_integration_degree_bnd = 0
diff --git a/input/thesis_part1/concrete3/common.txt b/input/thesis_part1/concrete3/common.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5efd909ddf1b45e3cb57dc568aea23bf96207ed1
--- /dev/null
+++ b/input/thesis_part1/concrete3/common.txt
@@ -0,0 +1,94 @@
+prename = concrete3_
+#Configuration
+configuration = rectangular_acquisition
+#
+#Parametrization
+parametrization = slowness2_real
+#
+Re(mbc0) = 11.111
+Im(mbc0) = 0.
+#
+L = 0.0312
+H = 0.0042
+Ler = 0.03
+Her = 0.003
+hx = 0.00015
+hy = 0.00015
+em_offset = 0
+em_step = 1
+re_offset = 0
+re_step = 1
+exclude_bottom_points = 1
+n_excluded_points = 12
+p_ex0 = 329
+p_ex1 = 330
+p_ex2 = 331
+p_ex3 = 332
+p_ex4 = 333
+p_ex5 = 334
+p_ex6 = 349
+p_ex7 = 350
+p_ex8 = 351
+p_ex9 = 352
+p_ex10 = 353
+p_ex11 = 354
+ReceiverOnEmitter=0
+#
+#Equation
+physic = acoustic
+equation = simplewave
+#
+#Discretization
+integration_type = Gauss
+#Wave
+wave_FunctionSpaceType = HierarchicalH1
+#
+equation_integration_degree_blk0 = 5
+equation_integration_degree_bnd0 = 6
+equation_integration_degree_blk1 = 5
+equation_integration_degree_bnd1 = 6
+equation_integration_degree_blk2 = 5
+equation_integration_degree_bnd2 = 6
+equation_integration_degree_blk3 = 7
+equation_integration_degree_bnd3 = 8
+equation_integration_degree_blk4 = 7
+equation_integration_degree_bnd4 = 8
+equation_integration_degree_blk5 = 7
+equation_integration_degree_bnd5 = 8
+equation_integration_degree_blk6 = 9
+equation_integration_degree_bnd6 = 10
+equation_integration_degree_blk7 = 9
+equation_integration_degree_bnd7 = 10
+equation_integration_degree_blk8 = 9
+equation_integration_degree_bnd8 = 10
+#Wave
+wave_FunctionSpaceDegree0 = 2
+wave_FunctionSpaceDegree1 = 2
+wave_FunctionSpaceDegree2 = 2
+wave_FunctionSpaceDegree3 = 3
+wave_FunctionSpaceDegree4 = 3
+wave_FunctionSpaceDegree5 = 3
+wave_FunctionSpaceDegree6 = 4
+wave_FunctionSpaceDegree7 = 4
+wave_FunctionSpaceDegree8 = 4
+#
+#Frequencies
+n_freq = 9
+#Frequency0
+frequency0 = 100.
+#Frequency1
+frequency1 = 125.
+#Frequency2
+frequency2 = 150.
+#Frequency3
+frequency3= 175.
+#Frequency4
+frequency4 = 200.
+#Frequency5
+frequency5 = 225.
+#Frequency6
+frequency6 = 250.
+#Frequency7
+frequency7 = 275.
+#Frequency8
+frequency8 = 300.
diff --git a/input/thesis_part1/concrete3/gradient.txt b/input/thesis_part1/concrete3/gradient.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6d15a6fd81d5c167fae57abd48fa9168eda34b75
--- /dev/null
+++ b/input/thesis_part1/concrete3/gradient.txt
@@ -0,0 +1,32 @@
+name = gradient
+#
+#Configuration
+unknown = all
+m0_typec0 = file
+m0_pathc0 = ../input/thesis_part1/concrete3/large_concrete_s2_initial
+#
+#Objective
+objective = l2distance
+#
+#InnerProduct
+innerproduct_diag_preconditioner_scale = 0
+innerproduct_diag_preconditioner_smooth = 0
+innerproduct_preconditioner_ref = 1.
+innerproduct_integration_degree_blk = 7
+innerproduct_integration_degree_bnd = 8
+#
+#Scale
+scale0 = 5e-4
+scaleN = 5e-2
+interval = log
+N = 2
+#
+#Frequency
+n_group=1
+#
+data = concrete3_synthetics_data
+#
+#Discretization
+#Model
+model_FunctionSpaceType = HierarchicalH1
+model_FunctionSpaceDegree = 1
diff --git a/input/thesis_part1/concrete3/large_concrete_s2.csv b/input/thesis_part1/concrete3/large_concrete_s2.csv
new file mode 100644
index 0000000000000000000000000000000000000000..07080d98a68849d220bc090afdcb5059918dc21d
--- /dev/null
+++ b/input/thesis_part1/concrete3/large_concrete_s2.csv
@@ -0,0 +1,35 @@
+211
+31
+-0.00015 0 0.00015 0.0003 0.00045 0.0006 0.00075 0.0009 0.00105 0.0012 0.00135 0.0015 0.00165 0.0018 0.00195 0.0021 0.00225 0.0024 0.00255 0.0027 0.00285 0.003 0.00315 0.0033 0.00345 0.0036 0.00375 0.0039 0.00405 0.0042 0.00435 0.0045 0.00465 0.0048 0.00495 0.0051 0.00525 0.0054 0.00555 0.0057 0.00585 0.006 0.00615 0.0063 0.00645 0.0066 0.00675 0.0069 0.00705 0.0072 0.00735 0.0075 0.00765 0.0078 0.00795 0.0081 0.00825 0.0084 0.00855 0.0087 0.00885 0.009 0.00915 0.0093 0.00945 0.0096 0.00975 0.0099 0.01005 0.0102 0.01035 0.0105 0.01065 0.0108 0.01095 0.0111 0.01125 0.0114 0.01155 0.0117 0.01185 0.012 0.01215 0.0123 0.01245 0.0126 0.01275 0.0129 0.01305 0.0132 0.01335 0.0135 0.01365 0.0138 0.01395 0.0141 0.01425 0.0144 0.01455 0.0147 0.01485 0.015 0.01515 0.0153 0.01545 0.0156 0.01575 0.0159 0.01605 0.0162 0.01635 0.0165 0.01665 0.0168 0.01695 0.0171 0.01725 0.0174 0.01755 0.0177 0.01785 0.018 0.01815 0.0183 0.01845 0.0186 0.01875 0.0189 0.01905 0.0192 0.01935 0.0195 0.01965 0.0198 0.01995 0.0201 0.02025 0.0204 0.02055 0.0207 0.02085 0.021 0.02115 0.0213 0.02145 0.0216 0.02175 0.0219 0.02205 0.0222 0.02235 0.0225 0.02265 0.0228 0.02295 0.0231 0.02325 0.0234 0.02355 0.0237 0.02385 0.024 0.02415 0.0243 0.02445 0.0246 0.02475 0.0249 0.02505 0.0252 0.02535 0.0255 0.02565 0.0258 0.02595 0.0261 0.02625 0.0264 0.02655 0.0267 0.02685 0.027 0.02715 0.0273 0.02745 0.0276 0.02775 0.0279 0.02805 0.0282 0.02835 0.0285 0.02865 0.0288 0.02895 0.0291 0.02925 0.0294 0.02955 0.0297 0.02985 0.03 0.03015 0.0303 0.03045 0.0306 0.03075 0.0309 0.03105 0.0312 0.03135
+-0.00015 0 0.00015 0.0003 0.00045 0.0006 0.00075 0.0009 0.00105 0.0012 0.00135 0.0015 0.00165 0.0018 0.00195 0.0021 0.00225 0.0024 0.00255 0.0027 0.00285 0.003 0.00315 0.0033 0.00345 0.0036 0.00375 0.0039 0.00405 0.0042 0.00435
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diff --git a/input/thesis_part1/concrete3/large_concrete_s2_initial.csv b/input/thesis_part1/concrete3/large_concrete_s2_initial.csv
new file mode 100644
index 0000000000000000000000000000000000000000..1261a71478829e89d8641c60e7839a3de5067c65
--- /dev/null
+++ b/input/thesis_part1/concrete3/large_concrete_s2_initial.csv
@@ -0,0 +1,35 @@
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diff --git a/input/thesis_part1/concrete3/synthetics.txt b/input/thesis_part1/concrete3/synthetics.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d135a753f9596942da2df671ca91db71764c4689
--- /dev/null
+++ b/input/thesis_part1/concrete3/synthetics.txt
@@ -0,0 +1,10 @@
+name = synthetics
+#Configuration
+unknown = none
+m0_typec0 = file
+m0_pathc0 = ../input/thesis_part1/concrete3/large_concrete_s2
+#
+#Output
+write_data_fields = 0
+write_model_field0 = 1
+write_wave_fields = 0
diff --git a/input/thesis_part1/cross/common.txt b/input/thesis_part1/cross/common.txt
new file mode 100644
index 0000000000000000000000000000000000000000..103dc71780dc49f1eab38ac773e5856b43c9a373
--- /dev/null
+++ b/input/thesis_part1/cross/common.txt
@@ -0,0 +1,63 @@
+prename = cross_
+#Equation
+physic = acoustic
+equation = simplewave
+equation_boundary = 0
+#
+#Parametrization
+parametrization = permcond_bireal
+parametrization_frequency0 = 0.33
+#
+#Configuration
+configuration = circular_acquisition
+#
+rer = 5.
+rext = 7.
+np = 120
+emitter_offset = 0
+emitter_skip = 3
+receiver_offset = 0
+receiver_skip = 1
+receiver_on_emitter=0
+#
+Re(mbc0) = 4.0
+Im(mbc0) = 0.
+Re(mbc1) = 0.5393
+Im(mbc1) = 0.
+#
+n_freq = 7
+#Frequency
+frequency0 = 0.17
+frequency1 = 0.2
+frequency2 = 0.23
+frequency3 = 0.27
+frequency4 = 0.33
+frequency5 = 0.5
+frequency6 = 0.67
+#
+#Discretization
+h = 0.1
+integration_type = Gauss
+wave_FunctionSpaceType = HierarchicalH1
+#
+wave_FunctionSpaceDegree0 = 1
+equation_integration_degree_blk0 = 3
+equation_integration_degree_bnd0 = 4
+wave_FunctionSpaceDegree1 = 1
+equation_integration_degree_blk1 = 3
+equation_integration_degree_bnd1 = 4
+wave_FunctionSpaceDegree2 = 2
+equation_integration_degree_blk2 = 5
+equation_integration_degree_bnd2 = 6
+wave_FunctionSpaceDegree3 = 2
+equation_integration_degree_blk3 = 5
+equation_integration_degree_bnd3 = 6
+wave_FunctionSpaceDegree4 = 2
+equation_integration_degree_blk4 = 5
+equation_integration_degree_bnd4 = 6
+wave_FunctionSpaceDegree5 = 3
+equation_integration_degree_blk5 = 7
+equation_integration_degree_bnd5 = 8
+wave_FunctionSpaceDegree6 = 4
+equation_integration_degree_blk6 = 9
+equation_integration_degree_bnd6 = 10
diff --git a/input/thesis_part1/cross/gradient.txt b/input/thesis_part1/cross/gradient.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3e1103135b20d44eb1cc7ef9668bea7b3c73ba1b
--- /dev/null
+++ b/input/thesis_part1/cross/gradient.txt
@@ -0,0 +1,31 @@
+name = gradient
+#Configuration
+unknown = all
+#
+#Objective
+objective = l2distance
+#
+#
+#InnerProduct
+innerproduct_diag_preconditioner_scale = 0
+innerproduct_diag_preconditioner_smooth = 0
+innerproduct_preconditioner_ref = 1.
+innerproduct_integration_degree_blk = 7
+innerproduct_integration_degree_bnd = 8
+#
+#Scale
+scale0 = 0.75
+scaleN = 0.75
+interval = linear
+N = 0
+#
+#Frequency
+n_group=1
+#
+#Data
+data = cross_synthetics_data
+#
+#Discretization
+#Model
+model_FunctionSpaceType = HierarchicalH1
+model_FunctionSpaceDegree = 1
diff --git a/input/thesis_part1/cross/synthetics.txt b/input/thesis_part1/cross/synthetics.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8f980adb475a8f782132d7afe1b46ad496a13128
--- /dev/null
+++ b/input/thesis_part1/cross/synthetics.txt
@@ -0,0 +1,29 @@
+name = synthetics
+#Configuration
+unknown = none
+#
+inclusion_ni = 2
+inclusion_filled = 1
+#Inclusion 0
+inclusion0 = cross
+inclusion_x0i0 = -1.
+inclusion_y0i0 = -1.
+inclusion_ri0 = 1.0
+Re(mi0c0) = 1.
+Im(mi0c0) = 0.
+Re(mi0c1) = 0.0180
+Im(mi0c1) = 0.
+#Inclusion 1
+inclusion1 = cross
+inclusion_x0i1 = 1.25
+inclusion_y0i1 = 1.25
+inclusion_ri1 = 1.0
+Re(mi1c0) = 8.
+Im(mi1c0) = 0.
+Re(mi1c1) = 1.7975
+Im(mi1c1) = 0.
+#
+#Output
+write_data_fields = 0
+write_wave_fields = 0
+write_model_field0 = 1
diff --git a/input/thesis_part1/marmousi/common.txt b/input/thesis_part1/marmousi/common.txt
new file mode 100644
index 0000000000000000000000000000000000000000..913af4babdba49135628353813850df29c8fb69e
--- /dev/null
+++ b/input/thesis_part1/marmousi/common.txt
@@ -0,0 +1,54 @@
+prename = thesis_part1_marmousi_
+#Configuration
+configuration = surface_acquisition
+#
+#Parametrization
+parametrization = slowness2_real
+model_reference_frequency = 1.
+#
+xoffset = 0
+Ler = 8.712
+np = 243
+re_start = 0
+re_skip = 1
+em_start = 0
+em_skip = 2
+ReceiverOnEmitter=0
+ymax = 0.216
+ymin = 0.072
+L = 9.192
+H = 2.904
+#
+Re(m_superc0) = 0.44
+Im(m_superc0) = 0.
+Re(m_subc0) = 0.25
+Im(m_subc0) = 0.
+#
+#Equation
+physic = acoustic
+equation = simplewave
+#
+#Discretization
+h = 0.036
+integration_type = Gauss
+#Wave
+wave_FunctionSpaceType = HierarchicalH1
+equation_integration_degree_blk0 = 5
+equation_integration_degree_bnd0 = 6
+equation_integration_degree_blk1 = 7
+equation_integration_degree_bnd1 = 8
+equation_integration_degree_blk2 = 9
+equation_integration_degree_bnd2 = 10
+#Wave
+wave_FunctionSpaceDegree0 = 2
+wave_FunctionSpaceDegree1 = 3
+wave_FunctionSpaceDegree2 = 4
+#
+#Frequencies
+n_freq = 3
+#Frequency0
+frequency0 = 4.
+#Frequency1
+frequency1 = 6.
+#Frequency2
+frequency2 = 8.
diff --git a/input/thesis_part1/marmousi/gradient.txt b/input/thesis_part1/marmousi/gradient.txt
new file mode 100644
index 0000000000000000000000000000000000000000..79b5f04c78da120705fddb8223320562df9c0b20
--- /dev/null
+++ b/input/thesis_part1/marmousi/gradient.txt
@@ -0,0 +1,30 @@
+name = gradient
+#
+#Configuration
+unknown = subsurface
+m0_typec0 = file.pos
+m0_pathc0 = marmousi_initial
+#
+#Objective
+objective = l2distance
+#
+#InnerProduct
+innerproduct_diag_preconditioner_scale = 0
+innerproduct_diag_preconditioner_smooth = 0
+innerproduct_preconditioner_ref = 1.
+innerproduct_integration_degree_blk = 7
+innerproduct_integration_degree_bnd = 8
+#
+#Scale
+scale0 = 0.25
+scaleN = 0.25
+interval = linear
+N = 0
+#
+#Frequency
+n_group=1
+#Data
+data = thesis_part1_marmousi_synthetics_data
+#
+model_FunctionSpaceType = HierarchicalH1
+model_FunctionSpaceDegree = 1
diff --git a/input/thesis_part1/marmousi/synthetics.txt b/input/thesis_part1/marmousi/synthetics.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4f9b521a17a1a8c5c4c2812b005b6e31ebcf327c
--- /dev/null
+++ b/input/thesis_part1/marmousi/synthetics.txt
@@ -0,0 +1,15 @@
+name = synthetics
+#Configuration
+unknown = none
+m0_typec0 = file
+m0_pathc0 = ../input/paper2/marmousi_slowness2
+#
+#Output
+write_data_fields = 1
+write_wave_fields = 0
+write_model_field0 = 1
+#write_single_wave_fields = 4
+#write_single_wave_field0 = 0
+#write_single_wave_field1 = 1
+#write_single_wave_field2 = 2
+#write_single_wave_field3 = 121
diff --git a/inversion_plot_comp_paper2.py b/inversion_plot_comp_paper2.py
index cbae7df914888cc0327e42fe348014482e3dfa50..a6d6b32f97f1277bc22e1c8cf005914534fcc929 100644
--- a/inversion_plot_comp_paper2.py
+++ b/inversion_plot_comp_paper2.py
@@ -185,7 +185,8 @@ glob = ['linesearch','trust-region','trust-region-retro'] * 2
order = [2.] * 6
col = ['k','C1','C4']*2
mrk = ['o']*6
-lin = ['-']*6
+lin = ['-']*6
+offset = [1]*3 + [0]*3
max_forward = 600
Δmax_forward = 60
n_freq = 1
@@ -225,8 +226,8 @@ for i in range(0,n_comp):
line=line+2
jfs[f][s] = np.loadtxt(path[i]+filename[i]+'_localminimum_historyg'+str(f)+'.csv',delimiter=';',max_rows=np.int(n_itfs[f][s]+1),skiprows=line,dtype=np.float)[:,0] / j0;
if glob[i] == 'trust-region' or glob[i] == 'trust-region-retro':
- p_ratiofs[f][s] = np.loadtxt(path[i]+filename[i]+'_localminimum_historyg'+str(f)+'.csv',delimiter=';',max_rows=np.int(n_itfs[f][s]+1),skiprows=line,dtype=np.float)[:,6];
- r_ratiofs[f][s] = np.loadtxt(path[i]+filename[i]+'_localminimum_historyg'+str(f)+'.csv',delimiter=';',max_rows=np.int(n_itfs[f][s]+1),skiprows=line,dtype=np.float)[:,7];
+ p_ratiofs[f][s] = np.loadtxt(path[i]+filename[i]+'_localminimum_historyg'+str(f)+'.csv',delimiter=';',max_rows=np.int(n_itfs[f][s]+1),skiprows=line,dtype=np.float)[:,5+offset[i]];
+ r_ratiofs[f][s] = np.loadtxt(path[i]+filename[i]+'_localminimum_historyg'+str(f)+'.csv',delimiter=';',max_rows=np.int(n_itfs[f][s]+1),skiprows=line,dtype=np.float)[:,6+offset[i]];
r_ratiofs[f][s][p_ratiofs[f][s] < 0] = np.nan;
line=line+n_itfs[f][s]+1+1
jcfs.append(jfs)
diff --git a/inversion_plot_comp_paper3.py b/inversion_plot_comp_paper3.py
new file mode 100644
index 0000000000000000000000000000000000000000..15dab72cad54f2cd1917fe531af2374cd19c7db7
--- /dev/null
+++ b/inversion_plot_comp_paper3.py
@@ -0,0 +1,409 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Wed May 11 15:49:20 2022
+
+@author: xavier
+"""
+
+import numpy as np
+import matplotlib.pyplot as plt
+from matplotlib import rc
+plt.rcParams['ytick.right'] = plt.rcParams['ytick.labelright'] = False
+plt.rcParams['ytick.left'] = plt.rcParams['ytick.labelleft'] = True
+rc('text.latex', preamble=r'\usepackage{amsmath} \usepackage{amssymb} \renewcommand{\familydefault}{\sfdefault} \usepackage{sansmathfonts}')
+rc('font',**{'family':'serif','sans-serif':['Helvetica'],'size':10})
+rc('text', usetex=True)
+lw = 1.5
+ms=5
+H = 2.0;
+L = 3.0;
+
+"""
+#Mamrousi early stop regularization
+j0 = 1
+jmrzv = 21.06701972868763
+n_comp = 3
+prepath = [''] * 3
+best = [17,26,43]
+mrz = [11,14,22]
+path = ['SST_LBFGS_LS/','SSM_LBFGS_LS/','DF_LBFGS_LS/',]
+filename = ['paper2_extended_sst_lbfgs_ls_snr2','paper2_extended_ssm_lbfgs_ls_snr2','paper2_extended_df3_lbfgs_ls_snr2']
+lab = ['SST','SSM','DF']
+glob = ['linesearch'] * 3
+order = [1.5] * 3
+col = ['C0','C1','C2']
+mrk = [''] * 3
+lin = ['-'] * 3
+n_freq = 1
+"""
+
+"""
+#Mamrousi additive regularization
+j0 = 1. #35.6633
+jmrzv = 17.303269765664275
+n_comp = 3
+prepath = [''] * 3
+best = [0] * 3
+mrz = [ 0 ] * 3
+ms=0
+path = ['SST_LBFGS_LS_SNR3/','TIK/SST_LBFGS_LS_SNR3_TIK10/','TV/SST_LBFGS_LS_SNR3_TV11/']
+filename = ['paper2_extended_sst_lbfgs_ls_snr3','paper2_extended_sst_lbfgs_ls_snr3_tik10','paper2_extended_sst_lbfgs_ls_snr3_tv11']
+lab = ['SST','TIK','TV']
+glob = ['linesearch'] * 3
+order = [1.5] * 3
+col = ['C0','C1','C2']
+mrk = [''] * 3
+lin = ['-'] * 3
+n_freq = 1
+"""
+
+"""
+#Mamrousi df
+j0 = 1. #35.6633
+jmrzv = 21.06701972868763
+n_comp = 7
+best = [ 22, 21, 30, 43, 61, 119, 69 ]
+mrz = [ 12, 12, 15, 22, 34, 62, 110 ]
+prepath = [''] * 7
+path = ['DF_LBFGS_LS/'] * 7
+filename = ['paper2_extended_df1_lbfgs_ls_snr2','paper2_extended_df_lbfgs_ls_snr2','paper2_extended_df2_lbfgs_ls_snr2','paper2_extended_df3_lbfgs_ls_snr2','paper2_extended_df4_lbfgs_ls_snr2','paper2_extended_df5_lbfgs_ls_snr2','paper2_extended_df6_lbfgs_ls_snr2']
+lab = ['DF1','DF','DF2','DF3','DF4','DF5','DF6']
+glob = ['linesearch'] * 7
+order = [1.5] * 7
+col = ['#061606','#124212','#1C661C','#2ca02c','#78C278','#BAE0BA','#E3F2E3']
+mrk = [''] * 7
+lin = ['-'] * 7
+n_freq = 1
+β = 1.
+A = 25.994976
+"""
+
+"""
+#Mamrousi ssm
+j0 = 1. #35.6633
+jmrzv = 21.06701972868763
+n_comp = 7
+best = [21, 26, 36, 59, 48, 82, 0]
+mrz = [12, 14, 20, 33, 57, np.nan, np.nan]
+prepath = [''] * n_comp
+path = ['SSM_LBFGS_LS/'] * n_comp
+filename = ['paper2_extended_ssm1_lbfgs_ls_snr2','paper2_extended_ssm_lbfgs_ls_snr2','paper2_extended_ssm2_lbfgs_ls_snr2','paper2_extended_ssm5_lbfgs_ls_snr2','paper2_extended_ssm6_lbfgs_ls_snr2','paper2_extended_ssm7_lbfgs_ls_snr2','paper2_extended_ssm8_lbfgs_ls_snr2']
+lab = ['ssm1','ssm','ssm2','ssm5','ssm6','ssm7','ssm8']
+glob = ['linesearch'] * n_comp
+order = [1.5] * n_comp
+col = ['#492200','#974700','#d26300','#ff8922','#ff9e49','#ffbe84','#ffd2ab']
+mrk = [''] * n_comp
+lin = ['-'] * n_comp
+n_freq = 1
+β = 0.075
+A = 25.994976
+"""
+
+"""
+#Concrete 3 additive regularization
+j0 = 1.
+jmrzv = 5608.4871201510405
+n_comp = 5
+prepath = [''] * 5
+best = [0] * 5
+mrz = [ 0 ] * 5
+ms=0
+path = [ 'snrm3/SST_LBFGS_LS_TV_snrm3/' ] * 5
+filename = ['paper2_concrete3_sst_lbfgs_ls_snrm3_tv0','paper2_concrete3_sst_lbfgs_ls_snrm3_tv1','paper2_concrete3_sst_lbfgs_ls_snrm3_tv2','paper2_concrete3_sst_lbfgs_ls_snrm3_tv3','paper2_concrete3_sst_lbfgs_ls_snrm3_tv4']
+lab = ['TV0','TV1','TV2','TV3','TV4']
+glob = ['linesearch'] * 5
+order = [1.5] * 5
+col = ['C0','C1','C2','C3','C4']
+mrk = [''] * 5
+lin = ['-'] * 5
+n_freq = 1
+"""
+
+"""
+#Concrete 3 early stop regularization
+j0 = 1.
+jmrzv = 11177.374443381555
+
+n_comp = 2;
+best = [226,247]
+mrz = [40,51]
+col = ['C1','C2']
+
+prepath = [''] * n_comp
+path = [ 'SSM_LBFGS_LS/' , 'DF_LBFGS_LS/' ] * 2
+filename = [ 'paper2_concrete3_ssm2_lbfgs_ls_snrm3', 'paper2_concrete3_df4_lbfgs_ls_snrm3' ]
+lab = [ 'SSM2','DF4' ]
+glob = ['linesearch'] * n_comp
+order = [1.5] * n_comp
+
+mrk = [''] * n_comp
+lin = ['-'] * n_comp
+n_freq = 1
+"""
+
+
+#Concrete 3 df or ssm
+j0 = 1.
+jmrzv = 11177.374443381555
+
+"""
+n_comp = 6; β = 1.; A = 0.00013104; substr = 'df'
+best = [200,141,193,234,247,250]
+mrz = [25,26,34,42,51,56]
+col = ['#061606','#124212','#1C661C','#2ca02c','#78C278','#BAE0BA','#E3F2E3']
+"""
+
+n_comp = 6; β = 300.; A = 0.00013104; substr = 'ssm'
+best = [150,193,226,250,250,250]
+mrz = [28,33,40,50,59,70]
+col = ['#492200','#974700','#d26300','#ff8922','#ff9e49','#ffbe84','#ffd2ab']
+
+prepath = [''] * n_comp
+path = [ substr.upper()+'_LBFGS_LS/' ] * n_comp
+filename = ['paper2_concrete3_'+substr.lower()+'0_lbfgs_ls_snrm3','paper2_concrete3_'+substr.lower()+'1_lbfgs_ls_snrm3','paper2_concrete3_'+substr.lower()+'2_lbfgs_ls_snrm3','paper2_concrete3_'+substr.lower()+'3_lbfgs_ls_snrm3','paper2_concrete3_'+substr.lower()+'4_lbfgs_ls_snrm3','paper2_concrete3_'+substr.lower()+'5_lbfgs_ls_snrm3']
+lab = ['DF0','DF1','DF2','DF3','DF4','DF5']
+glob = ['linesearch'] * n_comp
+order = [1.5] * n_comp
+
+mrk = [''] * n_comp
+lin = ['-'] * n_comp
+n_freq = 1
+
+
+"""
+#Cross
+j0 = 1.
+jmrzv = 0.6931585837012904
+
+n_comp = 4; β = 1.; A = 1.;
+best = [0] * n_comp
+mrz = [0] * n_comp
+ms = 0
+col = ['C1','C2','C1','C2']
+
+prepath = [''] * n_comp
+path = [ 'SST_LBFGS_LS_TIK/', 'SST_LBFGS_LS_TV/', 'SSM_LBFGS_LS/', 'DF_LBFGS_LS/' ]
+filename = [ 'cross_sst2_lbfgs_ls_snr6_tik22', 'cross_sst2_lbfgs_ls_snr6_tv24', 'cross_ssm1_lbfgs_ls_snr6', 'cross_df2_lbfgs_ls_snr6' ]
+lab = [ 'TIK','TV','SSM','DF' ]
+glob = ['linesearch'] * n_comp
+order = [1.5] * n_comp
+
+mrk = [''] * n_comp
+lin = [ '--','--','-','-' ]
+n_freq = 1
+"""
+
+"""
+LOAD
+"""
+jcfs = []
+mcfs = []
+p_ratiocfs = []
+r_ratiocfs = []
+n_itcf = []
+n_scalecf = []
+n_itcfs = []
+
+for i in range(0,n_comp):
+ path_tmp = prepath[i]+path[i]
+ n_scalef = [[]]*n_freq;
+ jfs = [[]]*n_freq;
+ mfs = [[]]*n_freq;
+ p_ratiofs = [[]]*n_freq;
+ r_ratiofs = [[]]*n_freq;
+ n_itfs = [[]]*n_freq;
+ n_itf = [0]*n_freq
+ scalefs = [[]]*n_freq;
+ for f in range(0,n_freq):
+ n_scalef[f] = np.loadtxt(path_tmp+filename[i]+'_globalminimum_historyg'+str(f)+'.csv',delimiter=';',max_rows=1,skiprows=3,dtype=np.integer)[1];
+ scalefs[f] = np.loadtxt(path_tmp+filename[i]+'_globalminimum_historyg'+str(f)+'.csv',delimiter=';',usecols=2,max_rows=np.int(n_scalef[f]),skiprows=6,dtype=np.float);
+ jfs[f] = [[]]*n_scalef[f];
+ mfs[f] = [[]]*n_scalef[f];
+ p_ratiofs[f] = [[]]*n_scalef[f];
+ r_ratiofs[f] = [[]]*n_scalef[f];
+ n_itfs[f] = np.zeros(n_scalef[f],np.integer);
+ line = 3
+ for s in range(0,n_scalef[f]):
+ n_itfs[f][s] = np.loadtxt(path_tmp+filename[i]+'_localminimum_historyg'+str(f)+'.csv',delimiter=';',usecols = 1, max_rows=1,skiprows=line,dtype=np.integer);
+ n_itf[f] = n_itf[f]+n_itfs[f][s]
+ line=line+2
+ jfs[f][s] = np.loadtxt(path_tmp+filename[i]+'_localminimum_historyg'+str(f)+'.csv',delimiter=';',max_rows=np.int(n_itfs[f][s]+1),skiprows=line,dtype=np.float)[:,0] / j0;
+ mfs[f][s] = np.loadtxt(path_tmp+filename[i]+'_localminimum_historyg'+str(f)+'.csv',delimiter=';',max_rows=np.int(n_itfs[f][s]+1),skiprows=line,dtype=np.float)[:,4];
+ if glob[i] == 'trust-region' or glob[i] == 'trust-region-retro':
+ p_ratiofs[f][s] = np.loadtxt(path_tmp+filename[i]+'_localminimum_historyg'+str(f)+'.csv',delimiter=';',max_rows=np.int(n_itfs[f][s]+1),skiprows=line,dtype=np.float)[:,6];
+ r_ratiofs[f][s] = np.loadtxt(path_tmp+filename[i]+'_localminimum_historyg'+str(f)+'.csv',delimiter=';',max_rows=np.int(n_itfs[f][s]+1),skiprows=line,dtype=np.float)[:,7];
+ r_ratiofs[f][s][p_ratiofs[f][s] < 0] = np.nan;
+ line=line+n_itfs[f][s]+1+1
+ jcfs.append(jfs)
+ mcfs.append(mfs)
+ p_ratiocfs.append(p_ratiofs)
+ r_ratiocfs.append(r_ratiofs)
+ n_itcf.append(n_itf)
+ n_itcfs.append(n_itfs)
+ n_scalecf.append(n_scalef)
+
+it_linecf = [[]*n_freq]*n_comp;
+it_descentcf = [[]*n_freq]*n_comp;
+bnd_descentcf = [[]*n_freq]*n_comp;
+n_forwardcf = [[]*n_freq]*n_comp;
+successcf = [[]*n_freq]*n_comp;
+negativecf = [[]*n_freq]*n_comp;
+etacf = [[]*n_freq]*n_comp;
+for i in range(0,n_comp):
+ path_tmp = prepath[i]+path[i]
+ it_linef = [[]]*n_freq
+ it_descentf = [[]]*n_freq
+ bnd_descentf = [[]]*n_freq
+ n_forwardf = [[]]*n_freq
+ successf = [[]]*n_freq
+ negativef = [[]]*n_freq
+ etaf = [[]]*n_freq
+ for f in range(0,n_freq):
+ n_forwardf[f] = np.zeros(n_itcf[i][f],np.integer)
+
+ if glob[i] == 'linesearch':
+ it_linef[f] = np.loadtxt(path_tmp+filename[i]+'_linesearch_historyg'+str(f)+'.csv',delimiter=';',usecols = 5, skiprows=1,dtype=np.integer)
+ n_forwardf[f] += it_linef[f]
+
+ if order[i] == 1.5 and (glob[i] == 'trust-region' or glob[i] == 'trust-region-retro') :
+ successf[f] = np.zeros(n_itcf[i][f],np.integer)
+ bnd_descentf[f] = np.zeros(n_itcf[i][f],np.integer)
+ line = 2
+ for n in range(0,n_itcf[i][f]):
+ bnd_descentf[f][n] = np.loadtxt(path_tmp+filename[i]+'_descent_historyg'+str(f)+'.csv',delimiter=';',usecols=4,max_rows=1,skiprows=line,dtype=np.integer);
+ successf[f][n] = np.loadtxt(path_tmp+filename[i]+'_descent_historyg'+str(f)+'.csv',delimiter=';',usecols=0,max_rows=1,skiprows=line,dtype=np.integer);
+ line=line+2
+ if order[i] == 2:
+ it_descentf[f] = np.zeros(n_itcf[i][f],np.integer)
+ successf[f] = np.zeros(n_itcf[i][f],np.integer)
+ etaf[f] = np.zeros(n_itcf[i][f],np.float)
+ negativef[f] = np.zeros(n_itcf[i][f],np.integer)
+ bnd_descentf[f] = np.zeros(n_itcf[i][f],np.integer)
+ line = 3
+ for n in range(0,n_itcf[i][f]):
+ it_descentf[f][n] = np.loadtxt(path_tmp+filename[i]+'_descent_historyg'+str(f)+'.csv',delimiter=';',usecols=3,max_rows=1,skiprows=line,dtype=np.integer);
+ if glob[i] == 'trust-region' or glob[i] == 'trust-region-retro':
+ bnd_descentf[f][n] = np.loadtxt(path_tmp+filename[i]+'_descent_historyg'+str(f)+'.csv',delimiter=';',usecols=6,max_rows=1,skiprows=line,dtype=np.integer);
+ etaf[f][n] = np.loadtxt(path_tmp+filename[i]+'_descent_historyg'+str(f)+'.csv',delimiter=';',usecols=1,max_rows=1,skiprows=line,dtype=np.float);
+ successf[f][n] = np.loadtxt(path_tmp+filename[i]+'_descent_historyg'+str(f)+'.csv',delimiter=';',usecols=0,max_rows=1,skiprows=line,dtype=np.integer);
+ line=line+it_descentf[f][n]+1
+ negativef[f][n] = (np.loadtxt(path_tmp+filename[i]+'_descent_historyg'+str(f)+'.csv',delimiter=';',usecols=1,max_rows=1,skiprows=line,dtype=np.float)<0);
+ line=line+2
+ n_forwardf[f] += 2*it_descentf[f]
+ if glob[i] == 'trust-region-retro':
+ n_forwardf[f] += 2 #retrospective Hessian-vector product
+ n_forwardf[f] += 2
+ n_forwardf[f] = np.cumsum(n_forwardf[f])
+ n_forwardf[f] = np.insert(n_forwardf[f],0,0)
+ n_forwardcf[i] = n_forwardf
+ it_descentcf[i] = it_descentf
+ bnd_descentcf[i] = bnd_descentf
+ it_linecf[i] = it_linef
+ successcf[i] = successf
+ etacf[i] = etaf
+ negativecf[i] = negativef
+
+"""
+DATA CONVERGENCE PLOT
+"""
+fig = [[]]*n_freq
+for f in range(0,n_freq):
+ plt.figure(figsize=(2*L,H),tight_layout=False);
+ plt.subplots_adjust(top=0.92,right=0.92,bottom=0.13,left=0.08)
+ plt.ticklabel_format(style='sci', axis='y', scilimits=(0,0))
+ plt.grid(zorder=0)
+
+ plt.xlim([0,250])
+ plt.xticks(np.arange(0,251,50))
+ """
+ plt.xlim([0,200])
+ plt.xticks(np.arange(0,201,40))
+ """
+ """
+ plt.xlim([5,50])
+ plt.xticks(np.arange(0,51,10))
+ """
+ #plt.ylim([0.95,1.1])
+ plt.ylim([0.99,1.02])
+ """
+ plt.xlim([0,30])
+ plt.xticks(np.arange(0,31,10))
+ plt.ylim([0.95,1.5])
+ """
+
+ for i in range(0,n_comp,1):
+ plt.plot(jcfs[i][f][0]/jmrzv,color=col[i],marker=mrk[i],linestyle=lin[i],zorder=3,markersize=3, linewidth=lw,label=lab[i])
+ plt.plot(best[i],jcfs[i][f][0][best[i]]/jmrzv,color=col[i],marker='o',zorder=3,markersize=ms)
+ if ~np.isnan(mrz[i]):
+ plt.plot(mrz[i],jcfs[i][f][0][mrz[i]]/jmrzv,color=col[i],marker='d',zorder=3,markersize=ms)
+ #plt.legend()
+ plt.hlines(1.0, 0, 1e4, colors='k', linestyles='dashed', zorder=2, linewidth=lw/2.)
+ #plt.savefig('convergence_comp'+str(f)+'.eps')
+
+"""
+MODEL CONVERGENCE PLOT
+"""
+errorc = []
+for i in range(0,n_comp):
+ error = np.loadtxt(prepath[i]+path[i]+filename[i]+'_error.csv',delimiter=';')[:,0];
+ #error = error + np.loadtxt(prepath[i]+path[i]+filename[i]+'_error.csv',delimiter=';')[:,2];
+ #error = error / 2
+ errorc.append(error)
+
+#error
+plt.figure(figsize=(2*L,H),tight_layout=False);
+plt.subplots_adjust(top=0.92,right=0.92,bottom=0.13,left=0.08)
+#plt.ticklabel_format(style='sci', axis='y', scilimits=(0,0))
+plt.grid(zorder=0)
+
+
+
+#plt.ylim([0.1,0.25])
+plt.ylim([0.,6.])
+#plt.ylim([0.5,1.4])
+#plt.yticks(np.arange(0.5,1.4,0.25))
+
+"""
+plt.xlim([5,50])
+plt.xticks(np.arange(0,51,10))
+"""
+"""
+plt.xlim([0,200])
+plt.xticks(np.arange(0,201,40))
+skip=1
+"""
+plt.xlim([0,250])
+plt.xticks(np.arange(0,251,50))
+
+plt.grid(zorder=0)
+for i in range(0,n_comp):
+ #np.arange(0,251,skip),
+ plt.plot(errorc[i],color=col[i],linestyle=lin[i],zorder=2,label=lab[i],marker=mrk[i])
+ plt.plot(best[i],errorc[i][best[i]],color=col[i],marker='o',zorder=3,markersize=ms)
+ if ~np.isnan(mrz[i]):
+ plt.plot(mrz[i],errorc[i][mrz[i]],color=col[i],marker='d',zorder=3,markersize=ms)
+"""
+ plt.plot(jcfs[i][0][0],errorc,color=col[i],linestyle=lin[i],zorder=2,label=lab[i])
+plt.xscale('log')
+plt.gca().invert_xaxis()
+"""
+#plt.legend()
+
+#L-curve
+plt.figure(figsize=(2*L,H),tight_layout=False);
+plt.subplots_adjust(top=0.92,right=0.92,bottom=0.13,left=0.08)
+for i in range(0,n_comp):
+ plt.plot( (mcfs[i][0][0])/A/β**2, jcfs[i][0][0]/jmrzv, color=col[i],linestyle=lin[i],zorder=2)
+ plt.plot( (mcfs[i][0][0][best[i]])/A/β**2, (jcfs[i][0][0][best[i]]/jmrzv), linestyle=lin[i],color=col[i],marker='o',zorder=3,markersize=ms)
+ if ~np.isnan(mrz[i]):
+ plt.plot( (mcfs[i][0][0][mrz[i]])/A/β**2,(jcfs[i][0][0][mrz[i]]/jmrzv), color=col[i],marker='d',zorder=3,markersize=ms)
+ plt.hlines(1.0, 0, 1e4, colors='k', linestyles='dashed', zorder=2, linewidth=lw/2.)
+
+plt.ylim([0.95,1.1])
+#plt.xlim([0.,10.])
+plt.xlim([0.,100.])
+#plt.xlim([0.,30.])
+#plt.xlim([15.,120.])
+#plt.ylim([0.99,1.02])
+plt.grid()
\ No newline at end of file
diff --git a/ip_comparison.cpp b/ip_comparison.cpp
index e5b045f622771dac6f7cfe09f8ecb8cbd07236c8..969785a6b7cf649b1ec37b5ace3f3e880d673c24 100644
--- a/ip_comparison.cpp
+++ b/ip_comparison.cpp
@@ -16,6 +16,7 @@ using namespace gmshfem::post;
#include "common/wave/equation/equation.h"
#include "specific/data/objective/newObjective.h"
#include "specific/model/innerproduct/newInnerProduct.h"
+#include "specific/model/regularization/newRegularization.h"
#include "common/statefunctional.h"
#include "specific/model/parametrization/newParametrization.h"
#include "common/model/macro.h"
@@ -139,7 +140,8 @@ int ip_comparison(const GmshFem& gmshFem)
}
InnerProductInterface* const innerproduct = newInnerProduct(configuration,m_discret,gmshFem,suffix_g);
- StateFunctional<T_Physic>* const statefunctional = new StateFunctional<T_Physic>(configuration,innerproduct,subfrequency,pequation,objective);
+ RegularizationInterface* const regularization = newRegularization(configuration,m,gmshFem,suffix_g);
+ StateFunctional<T_Physic>* const statefunctional = new StateFunctional<T_Physic>(configuration,innerproduct,regularization,subfrequency,pequation,objective);
statefunctional->setModel(m);
double j = statefunctional->performance();
msg::print << "performance = " << j << msg::endl;
@@ -210,6 +212,7 @@ int ip_comparison(const GmshFem& gmshFem)
delete pequation[f];
}
delete innerproduct;
+ delete regularization;
msg::unindent();
}
msg::unindent();
diff --git a/lcurve.py b/lcurve.py
new file mode 100644
index 0000000000000000000000000000000000000000..a1ed925ca9927d07b808c955434b898ed9bf0aec
--- /dev/null
+++ b/lcurve.py
@@ -0,0 +1,157 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Thu Jul 14 18:02:59 2022
+
+@author: xavier
+"""
+import numpy as np
+import matplotlib.pyplot as plt
+from matplotlib import rc
+plt.rcParams['ytick.right'] = plt.rcParams['ytick.labelright'] = False
+plt.rcParams['ytick.left'] = plt.rcParams['ytick.labelleft'] = True
+rc('text.latex', preamble=r'\usepackage{amsmath} \usepackage{amssymb} \renewcommand{\familydefault}{\sfdefault} \usepackage{sansmathfonts}')
+rc('font',**{'family':'serif','sans-serif':['Helvetica'],'size':10})
+rc('text', usetex=True)
+lw = 1.5
+ms=5
+H = 2.0;
+L = 3.0;
+
+"""
+#Marmousi
+jmrzv = 21.06701972868763
+n_comp = 2
+reg = [np.array([1.0, 0.25, 0.23, 0.21, 0.19, 0.17, 0.15, 0.13, 0.11, 0.09, 0.07, 0.05, 0.03, 0.01, 0.001])] * 2
+mrz = [1,1]
+best = [8,10]
+path = ['SST_LBFGS_LS_TIK/','SST_LBFGS_LS_TV/']
+filename = ['paper2_extended_sst_lbfgs_ls_snr2_tik','paper2_extended_sst_lbfgs_ls_snr2_tv']
+lab = ['TIK','TV']
+col = ['C1','C2']
+mrk = [''] * 2
+lin = ['-'] * 2
+"""
+
+#Concrete 3
+jmrzv = 11177.374443381555
+n_comp = 4
+ms=0
+reg = [ np.array([1e-4, 1e-3, 0.005, 0.025, 0.05, 0.1, 0.25, 0.5]), np.array([1e2, 1.5e2, 2.5e2, 3.75e2, 5e2, 1e3, 1e4, 10.]), np.array([1e-4, 1e-3, 0.005, 0.025, 0.05, 0.1, 0.25, 0.5, 1e-5, 1e-6, 1e-7]), np.array([1e2, 1.5e2, 2.5e2, 3.75e2, 5e2, 1., 10., 1e3, 1e4, 0.1, 0.01]) ]
+mrz = [0,0,0,0]
+best = [0,0,0,0]
+path = ['SST_LBFGS_LS_TIK/','SST_LBFGS_LS_TV/','SSM_LBFGS_LS_TIK/','DF_LBFGS_LS_TV/']
+filename = ['paper2_concrete3_sst_lbfgs_ls_snrm3_tik','paper2_concrete3_sst_lbfgs_ls_snrm3_tv','paper2_concrete3_ssm_lbfgs_ls_snrm3_tik','paper2_concrete3_df_lbfgs_ls_snrm3_tv']
+lab = ['TIK','TV','SSM-TIK','DF-TV']
+col = ['C1','C2'] * 2
+mrk = [''] * 2
+lin = ['-'] * 2 + ['-.'] * 2
+
+performance = [[]] * n_comp
+objective = [[]] * n_comp
+regularization = [[]] * n_comp
+error = [[]] * n_comp
+
+for i in range(0,n_comp):
+ n_reg = np.size(reg[i])
+ performance[i] = np.zeros(n_reg)
+ objective[i] = np.zeros(n_reg)
+ regularization[i] = np.zeros(n_reg)
+ for r in range(0,n_reg):
+ tmp = np.loadtxt(path[i]+filename[i]+str(r)+'_globalminimum_historyg0.csv',delimiter=';',max_rows=1,skiprows=6,dtype=np.float);
+ performance[i][r] = tmp[0]
+ objective[i][r] = tmp[3]
+ regularization[i][r] = tmp[4]
+ tmp = np.loadtxt(path[i]+filename[i]+"_error.csv",delimiter=';',dtype=np.float);
+ error[i] = tmp[:,0]
+
+#
+# OBJECTIVE
+#
+plt.figure(figsize=(2*L,H),tight_layout=False);
+plt.subplots_adjust(top=0.92,right=0.92,bottom=0.13,left=0.08)
+#plt.ticklabel_format(style='sci', axis='y', scilimits=(0,0))
+plt.grid(zorder=0)
+
+#plt.xlim([1.,0.001])
+#plt.ylim([0.95,1.10])
+plt.xlim([1e4,1e-7])
+plt.ylim([0.99,1.02])
+
+plt.xscale('log')
+#plt.xlabel(r'$\lambda$')
+#plt.ylabel(r'$J(\lambda)$')
+for i in range(0,n_comp,1):
+ idx=np.argsort(reg[i])
+ plt.plot(reg[i][idx],objective[i][idx]/jmrzv,color=col[i],marker='o',zorder=3,markersize=0,linewidth=lw,linestyle=lin[i],label=lab[i])
+ plt.plot(reg[i][best[i]],objective[i][best[i]]/jmrzv,color=col[i],marker='o',zorder=3,markersize=ms)
+ plt.plot(reg[i][mrz[i]],objective[i][mrz[i]]/jmrzv,color=col[i],marker='d',zorder=3,markersize=ms)
+#plt.legend()
+plt.hlines(1., 1e-7, 1e4, colors='k', linestyles='dashed', zorder=2, linewidth=lw/2.)
+
+#
+# PERFORMANCE
+#
+plt.figure(figsize=(2*L,H),tight_layout=False);
+plt.subplots_adjust(top=0.92,right=0.92,bottom=0.13,left=0.08)
+#plt.ticklabel_format(style='sci', axis='y', scilimits=(0,0))
+plt.grid(zorder=0)
+
+#plt.xlim([1.,0.001])
+#plt.ylim([0.95,1.10])
+plt.xlim([1e4,1e-7])
+plt.ylim([0.99,1.02])
+
+plt.xscale('log')
+#plt.xlabel(r'$\lambda$')
+#plt.ylabel(r'$J(\lambda)$')
+for i in range(0,n_comp,1):
+ idx=np.argsort(reg[i])
+ plt.plot(reg[i][idx],performance[i][idx]/jmrzv,color=col[i],marker='o',zorder=3,markersize=0,linewidth=lw,linestyle=lin[i],label=lab[i])
+ plt.plot(reg[i][best[i]],performance[i][best[i]]/jmrzv,color=col[i],marker='o',zorder=3,markersize=ms)
+ plt.plot(reg[i][mrz[i]],performance[i][mrz[i]]/jmrzv,color=col[i],marker='d',zorder=3,markersize=ms)
+#plt.legend()
+plt.hlines(1., 1e-7, 1e4, colors='k', linestyles='dashed', zorder=2, linewidth=lw/2.)
+
+#
+# ERROR
+#
+plt.figure(figsize=(2*L,H),tight_layout=False);
+plt.subplots_adjust(top=0.92,right=0.92,bottom=0.13,left=0.08)
+#plt.ticklabel_format(style='sci', axis='y', scilimits=(0,0))
+plt.grid(zorder=0)
+
+#plt.ylim([0.10,0.25])
+#plt.xlim([1.,0.001])
+plt.ylim([0.,6.])
+plt.xlim([1e4,1e-7])
+
+plt.xscale('log')
+#plt.xlabel(r'$\lambda$')
+#plt.ylabel(r'$J(\lambda)$')
+for i in range(0,n_comp,1):
+ idx=np.argsort(reg[i])
+ plt.plot(reg[i][idx],error[i][idx],color=col[i],marker='o',zorder=3,markersize=0,linewidth=lw,linestyle=lin[i],label=lab[i])
+ plt.plot(reg[i][mrz[i]],error[i][mrz[i]],color=col[i],marker='d',zorder=3,markersize=ms)
+ plt.plot(reg[i][best[i]],error[i][best[i]],color=col[i],marker='o',zorder=3,markersize=ms)
+#plt.legend()
+
+#
+# L-CURVE
+#
+plt.figure(figsize=(2*L,H),tight_layout=False);
+plt.subplots_adjust(top=0.95,right=0.98,bottom=0.20,left=0.15)
+plt.ticklabel_format(style='sci', axis='y', scilimits=(0,0))
+plt.grid(zorder=0)
+#plt.xlim([0,max_forward])
+#plt.xticks(np.arange(0,max_forward+1,Δmax_forward))
+#plt.ylim([0.425,1.5])
+plt.yscale('log')
+plt.xscale('log')
+plt.xlabel(r'$J(m)$')
+plt.ylabel(r'$R(m)$')
+for i in range(0,n_comp,1):
+ idx=np.argsort(reg[i])
+ plt.plot(objective[i][idx]/jmrzv,np.divide(regularization[i][idx],reg[i][idx]),color=col[i],marker='o',linewidth=lw,linestyle=lin[i],zorder=3,markersize=3)
+plt.vlines(1., 0, 1e4, colors='k', linestyles='dashed', zorder=1, linewidth=lw/2.)
+#plt.legend()
\ No newline at end of file
diff --git a/lcurve2.py b/lcurve2.py
new file mode 100644
index 0000000000000000000000000000000000000000..6212f8789366cb6c4b55058c51b1e1680ccce38f
--- /dev/null
+++ b/lcurve2.py
@@ -0,0 +1,95 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Tue Nov 1 16:56:40 2022
+
+@author: xavier
+"""
+
+import numpy as np
+import matplotlib.pyplot as plt
+from matplotlib import rc
+plt.rcParams['ytick.right'] = plt.rcParams['ytick.labelright'] = False
+plt.rcParams['ytick.left'] = plt.rcParams['ytick.labelleft'] = True
+rc('text.latex', preamble=r'\usepackage{amsmath} \usepackage{amssymb} \renewcommand{\familydefault}{\sfdefault} \usepackage{sansmathfonts}')
+rc('font',**{'family':'serif','sans-serif':['Helvetica'],'size':10})
+rc('text', usetex=True)
+lw = 1.5
+ms=5
+H = 2.0;
+L = 3.0;
+
+# Cross: TIK
+jmrzv = 0.6931585837012904
+reg0 = np.array([1.75e-5, 3e-5, 5.25e-5, 1e-4, 1.75e-4, 3e-4, 5.25e-4])
+reg1 = np.array([3e-6, 1e-6, 3e-6, 1e-5, 3e-5, 1e-4, 3e-4])
+N0 = np.size(reg0)
+N1 = np.size(reg1)
+
+path = 'SST_LBFGS_LS_TIK/'
+filename = 'cross_sst2_lbfgs_ls_snr6_tik'
+
+"""
+# Cross: TV
+jmrzv = 0.6931585837012904
+reg0 = np.array([3e-5, 5.25e-5, 1e-4, 1.75e-4, 3e-4, 5.25e-4, 1e-3])
+reg1 = np.array([5.25e-6, 1e-5, 1.75e-5, 3e-5, 5.25e-5, 1e-4, 1.75e-4])
+N0 = np.size(reg0)
+N1 = np.size(reg1)
+
+path = 'SST_LBFGS_LS_TV/'
+filename = 'cross_sst2_lbfgs_ls_snr6_tv'
+"""
+
+performance = np.zeros([N0,N1])
+objective = np.zeros([N0,N1])
+regularization = np.zeros([N0,N1])
+error = np.zeros([N0,N1,2])
+
+tmp_error = np.loadtxt(path+filename+"_error.csv",delimiter=';',dtype=np.float);
+for n1 in range(0,N1):
+ for n0 in range(0,N0):
+ tmp = np.loadtxt(path+filename+str(n1*N1+n0)+'_globalminimum_historyg0.csv',delimiter=';',max_rows=1,skiprows=6,dtype=np.float);
+ performance[n0,n1] = tmp[0]
+ objective[n0,n1] = tmp[3]
+ regularization[n0,n1] = tmp[4]
+ error[n0,n1,0] = tmp_error[n1+N0*n0,0]
+ error[n0,n1,1] = tmp_error[n1+N0*n0,2]
+
+#
+# ERROR
+#
+border0 = np.zeros(N0+1)
+for n0 in range(0,N0-1):
+ border0[n0+1] = (np.log10(reg0[n0])+np.log10(reg0[n0+1]))/2.
+ border0[n0+1] = 10**border0[n0+1]
+border0[0] = np.log10(border0[1]) - (np.log10(border0[2])-np.log10(border0[1]))
+border0[0] = 10**border0[0]
+border0[N0] = np.log10(border0[N0-1]) + (np.log10(border0[N0-1])-np.log10(border0[N0-2]))
+border0[N0] = 10**border0[N0]
+
+border1 = np.zeros(N1+1)
+for n1 in range(0,N1-1):
+ border1[n1+1] = (np.log10(reg1[n1])+np.log10(reg1[n1+1]))/2.
+ border1[n1+1] = 10**border1[n1+1]
+border1[0] = np.log10(border1[1]) - (np.log10(border1[2])-np.log10(border1[1]))
+border1[0] = 10**border1[0]
+border1[N1] = np.log10(border1[N1-1]) + (np.log10(border1[N1-1])-np.log10(border1[N1-2]))
+border1[N1] = 10**border1[N1]
+
+figure=plt.figure(figsize=(L,H),tight_layout=False)
+plt.subplots_adjust(top=0.90,right=0.95,bottom=0.13,left=0.13)
+ax=plt.subplot()
+ax.yaxis.set_label_position("right")
+ax.set_ylabel('Y', rotation=-90, labelpad=15)
+ax.xaxis.set_label_position("top")
+ax.set_xlabel('Y', rotation=0, labelpad=5)
+#vmax=1.5
+plt.pcolor(border0,border1,(1.*error[:,:,0]+1.*error[:,:,1])/2,vmin=0.5,vmax=1.0)
+plt.xlabel(r'$\lambda_{\epsilon}$')
+plt.ylabel(r'$\lambda_{\sigma}$')
+plt.xscale('log')
+plt.yscale('log')
+plt.colorbar(pad=0.15,ticks=[0.5, 0.75, 1.0])
+
+
diff --git a/multiscale.cpp b/multiscale.cpp
index 98300ea92c6404cab100c65e19ee4dd475840a7c..8982bac61a5c3acc734c05ca92067514e1d27a37 100644
--- a/multiscale.cpp
+++ b/multiscale.cpp
@@ -80,7 +80,7 @@ int multiscale(const GmshFem& gmshFem)
wave::Discretization<T_Physic> w_discret(gmshFem,suffix_f);
pequation[f] = new ParametrizedEquation<T_Physic>(parametrization,f,2.*M_PI*frequency[f],configuration,w_discret,gmshFem,suffix_f);
}
- StateFunctional<T_Physic>* const statefunctional = new StateFunctional<T_Physic>(configuration,nullptr,frequency,pequation,objective);
+ StateFunctional<T_Physic>* const statefunctional = new StateFunctional<T_Physic>(configuration,nullptr,nullptr,frequency,pequation,objective);
FunctionalInterface* const functional = statefunctional;
msg::print << "Perform multiscale analysis" << msg::endl;
diff --git a/plot_timewave.py b/plot_timewave.py
new file mode 100644
index 0000000000000000000000000000000000000000..ac4d3c4b448eaead683b06a8a76c7ad17282e996
--- /dev/null
+++ b/plot_timewave.py
@@ -0,0 +1,129 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Thu Aug 25 14:43:28 2022
+
+@author: xavier
+"""
+import numpy as np
+import matplotlib.pyplot as plt
+from matplotlib import rc
+plt.rcParams['ytick.right'] = plt.rcParams['ytick.labelright'] = False
+plt.rcParams['ytick.left'] = plt.rcParams['ytick.labelleft'] = True
+plt.rcParams['xtick.bottom'] = plt.rcParams['xtick.labelbottom'] = False
+plt.rcParams['xtick.top'] = plt.rcParams['xtick.labeltop'] = True
+rc('text.latex', preamble=r'\usepackage{amsmath} \usepackage{amssymb} \renewcommand{\familydefault}{\sfdefault} \usepackage{sansmathfonts}')
+rc('font',**{'family':'sans-serif','sans-serif':['Computer Modern Serif'],'size':10})
+rc('text', usetex=True)
+lw = 1.5
+H = 2.0;
+L = 3.0;
+
+# Marmousi
+"""
+path = "extended_marmousi_data/"
+
+#prename = "timewave_synthetics_data"; s = 61
+#prename = "timewave_synthetics_data_snr2"; s = 61
+#prename = "paper2_extended_timewave_initial_data"; s = 0
+#prename = "paper2_extended_timewave_inverse_data"; s = 0
+
+T=8.0
+Δt=0.004
+Nr=242
+
+
+amplitude = 0.02
+Te=4.0
+time_samp = 4
+ΔNr = 60
+ΔT = 1.
+"""
+
+"""
+# Concrete 3
+
+path = "concrete3_data/"
+
+#prename = "timewave_synthetics_data"; s = 134
+#prename = "timewave_synthetics_data_snrm3"; s = 134
+#prename = "paper2_concrete3_timewave_initial_data"; s = 0
+prename = "paper2_concrete3_timewave_inverse_data"; s = 0
+
+T=200 #[ms]
+Δt=0.1 #[ms]
+Nr=226
+
+
+amplitude = 0.1
+Te=100 #[ms]
+time_samp = 4
+ΔNr = 50
+ΔT = 25 #[ms]
+"""
+
+# Cross
+"""
+path = "cross_data/"
+
+#prename = "cross_time_synthetics_data"; s = 20
+#prename = "cross_time_synthetics_data_snr6"; s = 20
+#prename = "cross_timewave_initial_data"; s = 0
+prename = "cross_timewave_inverse_data"; s = 0
+
+T=100.
+Δt=1e-2
+Nr=119
+
+
+amplitude = 0.01
+#amplitude = 0.0005
+Te=50
+time_samp = 20
+ΔNr = 20
+ΔT = 10
+"""
+
+# S-Cube
+path = "win_data/"
+
+prename = "scube_winsynthetics_data"; s = 0
+
+T=20.0
+Δt=0.02
+Nr=1818
+
+
+amplitude = 0.002
+Te=6.98
+time_samp = 1
+ΔNr = 80
+ΔT = 4.
+
+#
+# Time domain
+#
+
+N=np.int(Te/Δt)
+data = np.zeros([np.int(N/time_samp)+1,Nr]);
+
+for n in range(0,N+1,time_samp):
+ tmp = np.loadtxt(path+prename+"f"+str(n)+".csv",delimiter=";",ndmin=2);
+ data[np.int(n/time_samp),:] = tmp[s,0:2*Nr:2]
+
+figure=plt.figure(figsize=(L,2*H),tight_layout=False)
+plt.subplots_adjust(top=0.93,right=0.9,bottom=0.06,left=0.1)
+ax=plt.subplot()
+ax.yaxis.set_label_position("right")
+ax.set_ylabel('Y', rotation=-90, labelpad=15)
+ax.xaxis.set_label_position("bottom")
+ax.set_xlabel('Y', rotation=0, labelpad=5)
+plt.gca().invert_yaxis()
+time = np.arange(0,N+time_samp+1,time_samp)*Δt #[s]
+plt.pcolormesh(np.arange(0,Nr+1,1)-0.5,time-Δt*time_samp/2,data[:,:],vmin=-amplitude,vmax=amplitude,cmap='binary')
+plt.xticks(np.arange(0,Nr,ΔNr));
+plt.yticks(np.arange(0,Te*1.1,ΔT));
+plt.xlabel(r'receiver index [-]')
+plt.ylabel(r'time [s]')
+#plt.ylabel(r'time [ms]')
+#plt.ylabel(r'$c_{0}$ $\times$ time [m]')
\ No newline at end of file
diff --git a/specific/configuration/circular_acquisition.cpp b/specific/configuration/circular_acquisition.cpp
index 9cc7caefeed85bf474b965d83dfc0cf9152c4fcf..beb2b8aac2268a94740df0c854c1e23f6df4cf47 100644
--- a/specific/configuration/circular_acquisition.cpp
+++ b/specific/configuration/circular_acquisition.cpp
@@ -191,16 +191,17 @@ namespace circular_acquisition
_mi.resize(model_size());
for (unsigned int c = 0; c < model_size(); c++)
{
+ std::string suffix = "c"+std::to_string(c);
double Remb, Immb;
if
(!
(
- gmshFem.userDefinedParameter(Remb, "Re(mbc"+std::to_string(c)+")") &&
- gmshFem.userDefinedParameter(Immb, "Im(mbc"+std::to_string(c)+")")
+ gmshFem.userDefinedParameter(Remb, "Re(mb"+suffix+")") &&
+ gmshFem.userDefinedParameter(Immb, "Im(mb"+suffix+")")
)
)
{
- throw common::Exception("Background (reference) model parameter (component"+std::to_string(c)+") could not be found.");
+ throw common::Exception("Background (reference) model parameter (component "+suffix+" ) could not be found.");
}
else
{
@@ -208,14 +209,40 @@ namespace circular_acquisition
_mc[c] = _mb[c];
}
ScalarPiecewiseFunction< std::complex< double > > m0;
- std::string path;
- if(gmshFem.userDefinedParameter(path, "mb_path"))
+ std::string m0_type = "constant";
+ if(!gmshFem.userDefinedParameter(m0_type, "m0_type"+suffix))
{
- m0.addFunction(bilinearInterpolation(path,true),_background[Support::BLK] | _background[Support::BND] | _points);
+ msg::warning << "Reference model type could not be found. Constant background is used (default)." << msg::endl;
+ }
+ if(m0_type=="file")
+ {
+ std::string path = "";
+ if(!gmshFem.userDefinedParameter(path, "m0_path"+suffix))
+ {
+ throw common::Exception("Path to circular data could not be found.");
+ }
+ m0.addFunction(bilinearInterpolation(path),_background[Support::BLK] | _background[Support::BND] );
+ }
+ else if(m0_type=="file.pos")
+ {
+ std::string path = "";
+ if(!gmshFem.userDefinedParameter(path, "m0_path"+suffix))
+ {
+ throw common::Exception("Path to model file could not be found.");
+ }
+
+ gmsh::merge(path+suffix+".pos");
+ ScalarFunction<std::complex<double>> mpos = probeScalarView<std::complex<double>>(c);
+
+ m0.addFunction(mpos,_background[Support::BLK] | _background[Support::BND]);
+ }
+ else if(m0_type=="constant")
+ {
+ m0.addFunction(_mb[c],_background[Support::BLK] | _background[Support::BND]);
}
else
{
- m0.addFunction(_mb[c],_background[Support::BLK] | _background[Support::BND] | _points);
+ throw common::Exception("Initial model type ("+ suffix + ") " + m0_type +" is unknown.");
}
_mi[c].resize(_ni);
@@ -224,8 +251,8 @@ namespace circular_acquisition
double Remi=0., Immi=0.;
if
(
- !(gmshFem.userDefinedParameter(Remi, "Re(mi"+std::to_string(i)+"c"+std::to_string(c)+")") &&
- gmshFem.userDefinedParameter(Immi, "Im(mi"+std::to_string(i)+"c"+std::to_string(c)+")"))
+ !(gmshFem.userDefinedParameter(Remi, "Re(mi"+std::to_string(i)+suffix+")") &&
+ gmshFem.userDefinedParameter(Immi, "Im(mi"+std::to_string(i)+suffix+")"))
)
{
throw Exception("Inclusion model parameter could not be found.");
diff --git a/specific/configuration/rectangular_acquisition.cpp b/specific/configuration/rectangular_acquisition.cpp
index 3c932161007a19f6f77e0cadf3443bae428e742e..cb94c07d9da08e53d056d91af56e57482fd8f98c 100644
--- a/specific/configuration/rectangular_acquisition.cpp
+++ b/specific/configuration/rectangular_acquisition.cpp
@@ -242,6 +242,19 @@ namespace rectangular_acquisition
}
m0.addFunction(bilinearInterpolation(path),_background[Support::BLK] | _background[Support::BND] );
}
+ else if(m0_type=="file.pos")
+ {
+ std::string path = "";
+ if(!gmshFem.userDefinedParameter(path, "m0_path"+suffix))
+ {
+ throw common::Exception("Path to model file could not be found.");
+ }
+
+ gmsh::merge(path+suffix+".pos");
+ ScalarFunction<std::complex<double>> mpos = probeScalarView<std::complex<double>>(c);
+
+ m0.addFunction(mpos,_background[Support::BLK] | _background[Support::BND]);
+ }
else if(m0_type=="constant")
{
m0.addFunction(_mb[c],_background[Support::BLK] | _background[Support::BND]);
diff --git a/specific/configuration/surface_acquisition.cpp b/specific/configuration/surface_acquisition.cpp
index 836fbc74b3b04433fb47fc24291706c03593e185..40cb28b756b98243e47e2fc88069a8fa7eb54661 100644
--- a/specific/configuration/surface_acquisition.cpp
+++ b/specific/configuration/surface_acquisition.cpp
@@ -198,6 +198,19 @@ namespace surface_acquisition
}
m0.addFunction(bilinearInterpolation(path),_subsurface[Support::BLK] | _subsurface[Support::BND] );
}
+ else if(m0_type=="file.pos")
+ {
+ std::string path = "";
+ if(!gmshFem.userDefinedParameter(path, "m0_path"+suffix))
+ {
+ throw common::Exception("Path to subsurface data could not be found.");
+ }
+
+ gmsh::merge(path+suffix+".pos");
+ ScalarFunction<std::complex<double>> mpos = probeScalarView<std::complex<double>>(c);
+
+ m0.addFunction(mpos,_subsurface[Support::BLK] | _subsurface[Support::BND] );
+ }
else if(m0_type=="inverse_linear_squared")
{
double Rea_0,Ima_0;
diff --git a/specific/data/element.cpp b/specific/data/element.cpp
index 53e05138bace5a6a7c37af01e06c37d5dd572e26..fabb535d774c49edc88bf2296df33ff6ec0964a3 100644
--- a/specific/data/element.cpp
+++ b/specific/data/element.cpp
@@ -15,6 +15,16 @@ double norm2<Physic::acoustic>(const typename PointData<Physic::acoustic>::Objec
template<>
typename PointData<Physic::acoustic>::Object conj<Physic::acoustic>(const typename PointData<Physic::acoustic>::Object& d){return std::conj(d);}
template<>
+typename PointData<Physic::acoustic>::Object abs<Physic::acoustic>(const typename PointData<Physic::acoustic>::Object& d){return std::abs(d);}
+template<>
+typename PointData<Physic::acoustic>::Object real<Physic::acoustic>(const typename PointData<Physic::acoustic>::Object& d){return std::real(d);}
+template<>
+typename PointData<Physic::acoustic>::Object arg<Physic::acoustic>(const typename PointData<Physic::acoustic>::Object& d){return std::arg(d);}
+template<>
+typename PointData<Physic::acoustic>::Object wise_divide<Physic::acoustic>(const typename PointData<Physic::acoustic>::Object& d1,const typename PointData<Physic::acoustic>::Object& d2){return d1/d2;}
+template<>
+typename PointData<Physic::acoustic>::Object wise_multiply<Physic::acoustic>(const typename PointData<Physic::acoustic>::Object& d1,const typename PointData<Physic::acoustic>::Object& d2){return d1*d2;}
+template<>
typename gmshfem::MathObject< std::complex< double >, propertiesOf<Physic::acoustic>::degree >::Object s_ones<Physic::acoustic>(){return 1.;}
/* electromagnetic */
@@ -23,6 +33,19 @@ double norm2<Physic::electromagnetic>(const typename PointData<Physic::electroma
template<>
typename PointData<Physic::electromagnetic>::Object conj<Physic::electromagnetic>(const typename PointData<Physic::electromagnetic>::Object& d){return d.conjugate();}
template<>
+typename PointData<Physic::electromagnetic>::Object real<Physic::electromagnetic>(const typename PointData<Physic::electromagnetic>::Object& d){return d.real();}
+template<>
+typename PointData<Physic::electromagnetic>::Object arg<Physic::electromagnetic>(const typename PointData<Physic::electromagnetic>::Object& d){return d.cwiseArg();}
+template<>
+typename PointData<Physic::electromagnetic>::Object abs<Physic::electromagnetic>(const typename PointData<Physic::electromagnetic>::Object& d)
+{
+ return PointData<Physic::electromagnetic>::ones() * d.norm();
+}
+template<>
+typename PointData<Physic::electromagnetic>::Object wise_divide<Physic::electromagnetic>(const typename PointData<Physic::electromagnetic>::Object& d1,const typename PointData<Physic::electromagnetic>::Object& d2){return d1.array() / d2.array() ;}
+template<>
+typename PointData<Physic::electromagnetic>::Object wise_multiply<Physic::electromagnetic>(const typename PointData<Physic::electromagnetic>::Object& d1,const typename PointData<Physic::electromagnetic>::Object& d2){return d1.array() * d2.array() ;}
+template<>
typename gmshfem::MathObject< std::complex< double >, propertiesOf<Physic::electromagnetic>::degree >::Object s_ones<Physic::electromagnetic>(){return PointData<Physic::electromagnetic>::Object(1.,1.,1.);}
/* elastodynamic */
@@ -31,4 +54,17 @@ double norm2<Physic::elastodynamic>(const typename PointData<Physic::elastodynam
template<>
typename PointData<Physic::elastodynamic>::Object conj<Physic::elastodynamic>(const typename PointData<Physic::elastodynamic>::Object& d){return d.conjugate();}
template<>
+typename PointData<Physic::elastodynamic>::Object real<Physic::elastodynamic>(const typename PointData<Physic::elastodynamic>::Object& d){return d.real();}
+template<>
+typename PointData<Physic::elastodynamic>::Object arg<Physic::elastodynamic>(const typename PointData<Physic::elastodynamic>::Object& d){return d.cwiseArg();}
+template<>
+typename PointData<Physic::elastodynamic>::Object abs<Physic::elastodynamic>(const typename PointData<Physic::elastodynamic>::Object& d)
+{
+ return PointData<Physic::elastodynamic>::ones() * d.norm();
+}
+template<>
+typename PointData<Physic::elastodynamic>::Object wise_divide<Physic::elastodynamic>(const typename PointData<Physic::elastodynamic>::Object& d1,const typename PointData<Physic::elastodynamic>::Object& d2){return d1.array() / d2.array() ;}
+template<>
+typename PointData<Physic::elastodynamic>::Object wise_multiply<Physic::elastodynamic>(const typename PointData<Physic::elastodynamic>::Object& d1,const typename PointData<Physic::elastodynamic>::Object& d2){return d1.array() * d2.array() ;}
+template<>
typename gmshfem::MathObject< std::complex< double >, propertiesOf<Physic::elastodynamic>::degree >::Object s_ones<Physic::elastodynamic>(){return PointData<Physic::elastodynamic>::Object(1.,1.,1.);}
diff --git a/specific/data/element.h b/specific/data/element.h
index c70de1428c8708da9e173fc5ef56ba877fbf3daf..86c8462e1b0d42dc83543541d7e5287acacc4949 100644
--- a/specific/data/element.h
+++ b/specific/data/element.h
@@ -28,5 +28,15 @@ template<Physic T_Physic>
double norm2(const typename PointData<T_Physic>::Object& d);
template<Physic T_Physic>
typename PointData<T_Physic>::Object conj(const typename PointData<T_Physic>::Object& d);
+template<Physic T_Physic>
+typename PointData<T_Physic>::Object real(const typename PointData<T_Physic>::Object& d);
+template<Physic T_Physic>
+typename PointData<T_Physic>::Object arg(const typename PointData<T_Physic>::Object& d);
+template<Physic T_Physic>
+typename PointData<T_Physic>::Object abs(const typename PointData<T_Physic>::Object& d);
+template<Physic T_Physic>
+typename PointData<T_Physic>::Object wise_divide(const typename PointData<T_Physic>::Object& d1,const typename PointData<T_Physic>::Object& d2);
+template<Physic T_Physic>
+typename PointData<T_Physic>::Object wise_multiply(const typename PointData<T_Physic>::Object& d1,const typename PointData<T_Physic>::Object& d2);
#endif // H_SPECIFIC_DATA_ELEMENT
diff --git a/specific/data/objective/newObjective.h b/specific/data/objective/newObjective.h
index 0d57e8a4842de7f97cc89b8eaacef623fb89b150..caf78125900f20b9824d46e0849863d15eb67475 100644
--- a/specific/data/objective/newObjective.h
+++ b/specific/data/objective/newObjective.h
@@ -9,6 +9,7 @@
//GmshFWI Library
#include "l2distance.h"
+#include "phase.h"
template<Physic T_Physic>
ObjectiveInterface<T_Physic>* newObjective(const Data<T_Physic>& d0, const ConfigurationInterface* const config, const gmshfem::common::GmshFem& gmshFem,std::string suffix = "")
@@ -19,6 +20,8 @@ ObjectiveInterface<T_Physic>* newObjective(const Data<T_Physic>& d0, const Confi
throw gmshfem::common::Exception("Objective type could not be found.");
}
if(objective=="l2distance"){return new l2distance::Objective<T_Physic>(d0,gmshFem);}
+ else if(objective=="conventional_phase"){return new conventional_phase::Objective<T_Physic>(d0,gmshFem);}
+ else if(objective=="logarithmic_phase"){return new logarithmic_phase::Objective<T_Physic>(d0,gmshFem);}
else
{
throw gmshfem::common::Exception("Objective " + objective + " is not valid.");
diff --git a/specific/data/objective/phase.cpp b/specific/data/objective/phase.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..1075133e85fca739be102d6a65f41037c5df0495
--- /dev/null
+++ b/specific/data/objective/phase.cpp
@@ -0,0 +1,98 @@
+//GmshFem Library
+#include "Exception.h"
+
+//GmshFEM Library
+#include "phase.h"
+
+#define d0 _d0
+#define d ds.state(Type::FS)
+#define rho ds.state(Type::AS)
+#define dd ds.state(Type::PFS)
+#define drho ds.state(Type::PAS)
+
+using namespace gmshfem::common;
+
+static const std::complex< double > im = std::complex< double >(0., 1.);
+
+/*
+* CONVENTIONAL PHASE
+*/
+namespace conventional_phase
+{
+ template<Physic T_Physic>
+ double Objective<T_Physic>::performance(const Data<T_Physic>& d1)
+ {
+ Data<T_Physic> r = d1/abs(d1)-d0/abs(d0);
+ return 0.5 * l2norm2(r);
+ }
+
+ template<Physic T_Physic>
+ const Data<T_Physic>& Objective<T_Physic>::update(Type type, const DataStateEvaluator<T_Physic>& ds)
+ {
+ switch (type)
+ {
+ case Type::FS: case Type::PFS: default:
+ throw Exception("Objective can not update (perturbed) forward data.");
+ break;
+ case Type::AS:
+ {
+ Data<T_Physic> absd = abs(d);
+ Data<T_Physic> cnjr = conj(d/absd-d0/abs(d0));
+ _v = cnjr / absd - real(cnjr*d) * conj(d) / (absd*absd*absd);
+ break;
+ }
+ case Type::PAS:
+ throw Exception("Objective perturbed adjoint state for phase is not defined. Linear/Anti-linear problem.");
+ break;
+ case Type::DS:
+ /* Does not take into account user sparsity input */
+ _v.value( PointData<T_Physic>::ones() );
+ break;
+ }
+ return _v;
+ }
+ template class Objective<Physic::acoustic>;
+ template class Objective<Physic::electromagnetic>;
+ template class Objective<Physic::elastodynamic>;
+}
+
+/*
+* LOGARITHMIC PHASE
+*/
+namespace logarithmic_phase
+{
+ template<Physic T_Physic>
+ double Objective<T_Physic>::performance(const Data<T_Physic>& d1)
+ {
+ Data<T_Physic> r = arg( d1 * conj(d0) ) / M_PI * im;
+ return 0.5 * l2norm2(r);
+ }
+
+ template<Physic T_Physic>
+ const Data<T_Physic>& Objective<T_Physic>::update(Type type, const DataStateEvaluator<T_Physic>& ds)
+ {
+ switch (type)
+ {
+ case Type::FS: case Type::PFS: default:
+ throw Exception("Objective can not update (perturbed) forward data.");
+ break;
+ case Type::AS:
+ {
+ Data<T_Physic> r = arg( d * conj(d0) ) / M_PI * -im;
+ _v = r / d;
+ break;
+ }
+ case Type::PAS:
+ throw Exception("Objective perturbed adjoint state for phase is not defined. Linear/Anti-linear problem.");
+ break;
+ case Type::DS:
+ /* Does not take into account user sparsity input */
+ _v.value( PointData<T_Physic>::ones() );
+ break;
+ }
+ return _v;
+ }
+ template class Objective<Physic::acoustic>;
+ template class Objective<Physic::electromagnetic>;
+ template class Objective<Physic::elastodynamic>;
+}
diff --git a/specific/data/objective/phase.h b/specific/data/objective/phase.h
new file mode 100644
index 0000000000000000000000000000000000000000..354e3471f7896885c76c09cd8a06d1da31210b82
--- /dev/null
+++ b/specific/data/objective/phase.h
@@ -0,0 +1,48 @@
+#ifndef H_SPECIFIC_DATA_OBJECTIVE_PHASE
+#define H_SPECIFIC_DATA_OBJECTIVE_PHASE
+
+//GmshFEM Library
+#include "GmshFem.h"
+
+//GmshFWI Library
+#include "../../../common/data/objective/objective.h"
+
+/*
+* CONVENTIONAL PHASE
+*/
+namespace conventional_phase
+{
+ template<Physic T_Physic>
+ class Objective final: public ObjectiveInterface<T_Physic>
+ {
+ private:
+ using ObjectiveInterface<T_Physic>::_d0;
+ using ObjectiveInterface<T_Physic>::_v;
+ public:
+ Objective(const Data<T_Physic>& d0, const gmshfem::common::GmshFem& gmshFem) : ObjectiveInterface<T_Physic>(d0) {};
+
+ virtual double performance(const Data<T_Physic>& d);
+ virtual const Data<T_Physic>& update(Type type, const DataStateEvaluator<T_Physic>& ds);
+ };
+};
+
+/*
+* LOGARITHMIC PHASE
+*/
+namespace logarithmic_phase
+{
+ template<Physic T_Physic>
+ class Objective final: public ObjectiveInterface<T_Physic>
+ {
+ private:
+ using ObjectiveInterface<T_Physic>::_d0;
+ using ObjectiveInterface<T_Physic>::_v;
+ public:
+ Objective(const Data<T_Physic>& d0, const gmshfem::common::GmshFem& gmshFem) : ObjectiveInterface<T_Physic>(d0) {};
+
+ virtual double performance(const Data<T_Physic>& d);
+ virtual const Data<T_Physic>& update(Type type, const DataStateEvaluator<T_Physic>& ds);
+ };
+};
+
+#endif //H_SPECIFIC_WAVE_DATA_OBJECTIVE_PHASE
diff --git a/specific/model/innerproduct/sobolev.cpp b/specific/model/innerproduct/sobolev.cpp
index be7be2c326b728d2a459a23d03744bc2481bc0e4..73fbc784a16546079fbabf2e47609dbb592fb485 100644
--- a/specific/model/innerproduct/sobolev.cpp
+++ b/specific/model/innerproduct/sobolev.cpp
@@ -15,7 +15,7 @@ static const std::complex< double > im = std::complex< double >(0., 1.);
/*
* Sobolev
*/
-SobolevInnerProductInterface::SobolevInnerProductInterface(const ConfigurationInterface* const config, const model::Discretization& m_discret, const GmshFem& gmshFem, std::string suffix) : DifferentialInnerProductInterface(config,m_discret,gmshFem,suffix), _mu(nullptr), _su(nullptr), _diag_preconditioner_scale(false), _diag_preconditioner_smooth(false), _update(true), _p0(_m_size,1.), _weight(_m_size,1.), _stabilization(_m_size,0.), _alpha(0.), _bulkWeight(1.0), _boundaryWeight(1.)
+SobolevInnerProductInterface::SobolevInnerProductInterface(const ConfigurationInterface* const config, const model::Discretization& m_discret, const GmshFem& gmshFem, std::string suffix) : DifferentialInnerProductInterface(config,m_discret,gmshFem,suffix), _mu(nullptr), _su(nullptr), _diag_preconditioner_scale(false), _diag_preconditioner_smooth(false), _update_interval(1), _p0(_m_size,1.), _weight(_m_size,1.), _stabilization(_m_size,0.), _alpha(0.), _bulkWeight(1.0), _boundaryWeight(1.)
{
double scale = 0.;
gmshFem.userDefinedParameter(scale, "scale");
@@ -29,9 +29,10 @@ SobolevInnerProductInterface::SobolevInnerProductInterface(const ConfigurationIn
gmshFem.userDefinedParameter(diag_preconditioner_smooth, "innerproduct_diag_preconditioner_smooth");
_diag_preconditioner_smooth = ((bool) diag_preconditioner_smooth);
- unsigned int update = 1;
- gmshFem.userDefinedParameter(update, "innerproduct_update");
- _update = ((bool) update);
+ if(!gmshFem.userDefinedParameter(_update_interval, "innerproduct_update_interval"))
+ {
+ msg::warning << "Inner product update interval could not be found. Default (1) is used." << msg::endl;
+ }
for (unsigned int c = 0; c < _m_size; c++)
{
@@ -61,7 +62,7 @@ SobolevInnerProductInterface::SobolevInnerProductInterface(const ConfigurationIn
gmshFem.userDefinedParameter(_boundaryWeight, "innerproduct_weight_bnd"+suffix);
};
-SobolevInnerProductInterface::SobolevInnerProductInterface(const ConfigurationInterface* const config, const ModelField& m_discret, const GmshFem& gmshFem, std::string suffix) : DifferentialInnerProductInterface(config,m_discret,gmshFem,suffix), _mu(nullptr), _su(nullptr), _diag_preconditioner_scale(false), _diag_preconditioner_smooth(false), _update(true), _p0(_m_size,1.), _weight(_m_size,1.), _stabilization(_m_size,0.), _alpha(0.), _bulkWeight(1.0), _boundaryWeight(1.)
+SobolevInnerProductInterface::SobolevInnerProductInterface(const ConfigurationInterface* const config, const ModelField& m_discret, const GmshFem& gmshFem, std::string suffix) : DifferentialInnerProductInterface(config,m_discret,gmshFem,suffix), _mu(nullptr), _su(nullptr), _diag_preconditioner_scale(false), _diag_preconditioner_smooth(false), _update_interval(1), _p0(_m_size,1.), _weight(_m_size,1.), _stabilization(_m_size,0.), _alpha(0.), _bulkWeight(1.0), _boundaryWeight(1.)
{
double scale = 0.;
gmshFem.userDefinedParameter(scale, "scale");
@@ -75,9 +76,10 @@ SobolevInnerProductInterface::SobolevInnerProductInterface(const ConfigurationIn
gmshFem.userDefinedParameter(diag_preconditioner_smooth, "innerproduct_diag_preconditioner_smooth");
_diag_preconditioner_smooth = ((bool) diag_preconditioner_smooth);
- unsigned int update = 1;
- gmshFem.userDefinedParameter(update, "innerproduct_update");
- _update = ((bool) update);
+ if(!gmshFem.userDefinedParameter(_update_interval, "innerproduct_update_interval"))
+ {
+ msg::warning << "Inner product update interval could not be found. Default (1) is used." << msg::endl;
+ }
for (unsigned int c = 0; c < _m_size; c++)
{
@@ -126,12 +128,24 @@ void SobolevInnerProductInterface::unlink()
}
void SobolevInnerProductInterface::modelIsObsolete()
{
- if( (_diag_preconditioner_scale || _diag_preconditioner_smooth) && _update )
+ if( (_diag_preconditioner_scale || _diag_preconditioner_smooth) && (_update_interval==1) )
{
_systemAreUpToDate=false;
_systemAreFactorized=false;
}
}
+bool SobolevInnerProductInterface::iteration(double iteration)
+{
+ _iteration = iteration;
+ if( (_iteration % _update_interval == 0) && (_update_interval!=1) )
+ {
+ _systemAreUpToDate=false;
+ _systemAreFactorized=false;
+ return true;
+ }
+ return false;
+}
+
void SobolevInnerProductInterface::setRHS(const Sensitivity& bulk_sensi,const Sensitivity& boundary_sensi)
{
for (unsigned int c = 0; c < _m_size; c++)
@@ -166,6 +180,7 @@ namespace sobolev_l2
{
void InnerProduct::setLHS()
{
+ msg::print << "Update inner product" << msg::endl;
for (unsigned int c = 0; c < _m_size; c++)
{
unsigned int degree = _j[c].degree();
@@ -193,23 +208,48 @@ namespace sobolev_l2
}
}
}
+
+ std::complex<double> InnerProduct::penalization(const ModelField& m1, const ModelField& m2) const
+ {
+ unsigned int degree = _j[0].degree();
+ std::complex<double> sum = 0.;
+ for (unsigned int c = 0; c < _m_size; c++)
+ {
+ sum += _weight[c] * gmshfem::post::integrate( grad(m1[c]) * grad(m2[c]), _config->model_unknown(Support::BLK), integrationType(8*degree) );
+ }
+ return sum;
+ };
};
namespace sobolev_df
{
void InnerProduct::modelIsObsolete()
{
- if(_update)
+ if(_update_interval==1)
+ {
+ _systemAreUpToDate=false;
+ _systemAreFactorized=false;
+
+ _structureIsUpToDate=false;
+ }
+ }
+ bool InnerProduct::iteration(double iteration)
+ {
+ _iteration = iteration;
+ if( (_iteration % _update_interval == 0) && (_update_interval!=1) )
{
_systemAreUpToDate=false;
_systemAreFactorized=false;
_structureIsUpToDate=false;
+ return true;
}
+ return false;
}
void InnerProduct::setLHS()
{
+ msg::print << "Update inner product" << msg::endl;
for (unsigned int c = 0; c < _m_size; c++)
{
unsigned int degree = _j[c].degree();
@@ -221,39 +261,19 @@ namespace sobolev_df
else
{
_formulation[c].integral(_weight[c] * _p0[c] * dof(_j[c]), tf(_j[c]), _config->model_unknown(Support::BLK), integrationType(2*degree));
- }
- if(_diag_preconditioner_smooth)
- {
-
}
if(_alpha>0.)
{
std::array<bool,4> needToBeUpToDate = {true,false,false,false};
if(!_structureIsUpToDate){update_filter(_mu->get(needToBeUpToDate).field(Type::FS));}
- ScalarFunction< std::complex< double > > gradm2 = ScalarFunction< std::complex< double > >(_m2x[0])+ScalarFunction< std::complex< double > >(_m2y[0])+_beta*_beta;
- TensorFunction< std::complex< double > > D =
- tensor< std::complex< double > >
- (
- 1.,0.,0.,
- 0.,1.,0.,
- 0.,0.,0.
- )
- -
- tensor< std::complex< double > >
- (
- _m2x[0],_mxmy[0],0.,
- _mxmy[0],_m2y[0],0.,
- 0.,0.,0.
- ) / gradm2;
-
if(_diag_preconditioner_smooth)
{
- _formulation[c].integral( _weight[c] * _alpha * (_su->get(Order::DIAG,Support::BLK,_mu->get(needToBeUpToDate))[c] + _stabilization[c]) * D * grad(dof(_j[c])), grad(tf(_j[c])), _config->model_unknown(Support::BLK),integrationType(8*degree));
+ _formulation[c].integral( _weight[c] * _alpha * (_su->get(Order::DIAG,Support::BLK,_mu->get(needToBeUpToDate))[c] + _stabilization[c]) * _D * grad(dof(_j[c])), grad(tf(_j[c])), _config->model_unknown(Support::BLK),integrationType(_integrationDegreeBlk));
}
else
{
- _formulation[c].integral( _weight[c] * _alpha * _p0[c] * D * grad(dof(_j[c])), grad(tf(_j[c])), _config->model_unknown(Support::BLK),integrationType(8*degree));
+ _formulation[c].integral( _weight[c] * _alpha * _p0[c] * _D * grad(dof(_j[c])), grad(tf(_j[c])), _config->model_unknown(Support::BLK),integrationType(6*degree-2));
}
}
}
@@ -268,40 +288,107 @@ namespace sobolev_df
_filter_formulation.initSystem();
_filter_formulation.integral(dof(_q), tf(_q), _config->model_unknown(Support::BLK), integrationType(2*degree));
- _filter_formulation.integral( _alpha_structure * grad(dof(_q)), grad(tf(_q)), _config->model_unknown(Support::BLK),integrationType(2*degree));
+ _filter_formulation.integral( _alpha_structure * grad(dof(_q)), grad(tf(_q)), _config->model_unknown(Support::BLK),integrationType(2*degree-2));
_filter_formulation.pre();
_filter_formulation.assemble();
_filter_formulation.removeTerms();
}
- //XX
- _filter_formulation.integral(-pow(xComp(grad(m[0])),2), tf(_q), _config->model_unknown(Support::BLK), integrationType(3*degree));
- _filter_formulation.assemble();
- _filter_formulation.removeTerms();
- _filter_formulation.solve(_filterIsFactorized);
- _filter_formulation.setRHSToZero();
- _filterIsFactorized=true;
- _m2x[0] = _q;
-
- //YY
- _filter_formulation.integral(-pow(yComp(grad(m[0])),2), tf(_q), _config->model_unknown(Support::BLK), integrationType(3*degree));
- _filter_formulation.assemble();
- _filter_formulation.removeTerms();
- _filter_formulation.solve(_filterIsFactorized);
- _filter_formulation.setRHSToZero();
- _filterIsFactorized=true;
- _m2y[0] = _q;
-
- //XY
- _filter_formulation.integral(-xComp(grad(m[0]))*yComp(grad(m[0])), tf(_q), _config->model_unknown(Support::BLK), integrationType(3*degree));
- _filter_formulation.assemble();
- _filter_formulation.removeTerms();
- _filter_formulation.solve(_filterIsFactorized);
- _filter_formulation.setRHSToZero();
- _filterIsFactorized=true;
- _mxmy[0] = _q;
+ _D =
+ tensor< std::complex< double > >
+ (
+ 1.,0.,0.,
+ 0.,1.,0.,
+ 0.,0.,0.
+ );
+
+ for (unsigned int c = 0; c < _m_size; c++)
+ {
+ //XX
+ _filter_formulation.integral(-pow(xComp(grad(m[c])),2), tf(_q), _config->model_unknown(Support::BLK), integrationType(2*degree-1));
+ _filter_formulation.assemble();
+ _filter_formulation.removeTerms();
+ _filter_formulation.solve(_filterIsFactorized);
+ _filter_formulation.setRHSToZero();
+ _filterIsFactorized=true;
+ _m2x[c] = _q;
+
+ //YY
+ _filter_formulation.integral(-pow(yComp(grad(m[c])),2), tf(_q), _config->model_unknown(Support::BLK), integrationType(2*degree-1));
+ _filter_formulation.assemble();
+ _filter_formulation.removeTerms();
+ _filter_formulation.solve(_filterIsFactorized);
+ _filter_formulation.setRHSToZero();
+ _filterIsFactorized=true;
+ _m2y[c] = _q;
+
+ //XY
+ _filter_formulation.integral(-xComp(grad(m[c]))*yComp(grad(m[c])), tf(_q), _config->model_unknown(Support::BLK), integrationType(2*degree-1));
+ _filter_formulation.assemble();
+ _filter_formulation.removeTerms();
+ _filter_formulation.solve(_filterIsFactorized);
+ _filter_formulation.setRHSToZero();
+ _filterIsFactorized=true;
+ _mxmy[c] = _q;
+
+
+ ScalarFunction< std::complex< double > > gradm2 = ScalarFunction< std::complex< double > >(_m2x[c])+ScalarFunction< std::complex< double > >(_m2y[c])+_beta[c]*_beta[c];
+
+ _D = _D
+ -
+ _weight_structure[c] *
+ tensor< std::complex< double > >
+ (
+ _m2x[c],_mxmy[c],0.,
+ _mxmy[c],_m2y[c],0.,
+ 0.,0.,0.
+ ) / gradm2;
+ }
+
+ /*
+ bool _flooding = true;
+ if(_flooding)
+ {
+ ScalarFunction< std::complex< double > > partition = heaviside< std::complex< double > >( yComp(grad(m[0]))+1e-7 );
+ _D = partition * _D
+ +
+ (1-partition)*tensor< std::complex< double > >
+ (
+ 0.,0.,0.,
+ 0.,1.,0.,
+ 0.,0.,0.
+ );
+ }
+ */
+ /*
+ ScalarFunction< std::complex< double > > gradm2 = ScalarFunction< std::complex< double > >(_m2x[0])+ScalarFunction< std::complex< double > >(_m2y[0]);
+ gmshfem::post::save(sqrt(gradm2), _config->model_unknown(Support::BLK), "absgradm0", "pos", "");
+
+ gradm2 = ScalarFunction< std::complex< double > >(_m2x[1])+ScalarFunction< std::complex< double > >(_m2y[1]);
+ gmshfem::post::save(sqrt(gradm2), _config->model_unknown(Support::BLK), "absgradm1", "pos", "");
+
+ throw gmshfem::common::Exception("STOP");
+ */
_structureIsUpToDate=true;
}
+
+ std::complex<double> InnerProduct::penalization(const ModelField& m1, const ModelField& m2) const
+ {
+ unsigned int degree = _j[0].degree();
+ std::complex<double> sum = 0.;
+ for (unsigned int c = 0; c < _m_size; c++)
+ {
+ if(_structureIsUpToDate)
+ {
+ sum += _weight[c] * gmshfem::post::integrate( grad(m1[c]) * _D * grad(m2[c]), _config->model_unknown(Support::BLK), integrationType(6*degree-2) ) / _beta[c] / _beta[c];
+ }
+ else
+ {
+ msg::warning << "Penalization requested while structure is not up to date." << msg::endl;
+ }
+ }
+ return sum;
+ };
};
diff --git a/specific/model/innerproduct/sobolev.h b/specific/model/innerproduct/sobolev.h
index 7f9f0cc621c56fbec64d7c0d5adef2a06e695e44..4389ad17957b8697f0434adb9e705ed6c539aa2c 100644
--- a/specific/model/innerproduct/sobolev.h
+++ b/specific/model/innerproduct/sobolev.h
@@ -3,6 +3,7 @@
//GmshFEM Library
#include "GmshFem.h"
+#include "Function.h"
//GmshFWI Library
#include "../../../common/model/innerproduct/innerproduct.h"
@@ -18,7 +19,7 @@ protected:
bool _diag_preconditioner_scale;
bool _diag_preconditioner_smooth;
- bool _update;
+ unsigned int _update_interval;
std::vector<double> _p0;
std::vector<double> _weight;
@@ -35,10 +36,11 @@ public:
virtual void modelIsObsolete() override;
virtual void scale(double scale) override {alpha((scale / 2. / M_PI) * (scale / 2. / M_PI));};
- void alpha(double alpha);
+ virtual bool iteration(double iteration) override; //return: is obsolete at iteration ?
void bulkWeight(double bulkWeight);
void boundaryWeight(double boundaryWeight);
private:
+ void alpha(double alpha);
virtual void setLHS() = 0;
virtual void setRHS(const Sensitivity& bulk_sensi,const Sensitivity& boundary_sensi);
};
@@ -51,6 +53,7 @@ namespace sobolev_l2
InnerProduct(const ConfigurationInterface* const config, const model::Discretization& m_discret, const gmshfem::common::GmshFem& gmshFem, std::string suffix="") : SobolevInnerProductInterface(config,m_discret,gmshFem,suffix) {};
InnerProduct(const ConfigurationInterface* const config, const ModelField& m_discret, const gmshfem::common::GmshFem& gmshFem, std::string suffix="") : SobolevInnerProductInterface(config,m_discret,gmshFem,suffix) {};
+ virtual std::complex<double> penalization(const ModelField& m1,const ModelField& m2) const override;
private:
virtual void setLHS();
};
@@ -61,7 +64,8 @@ namespace sobolev_df
class InnerProduct final: public SobolevInnerProductInterface
{
private:
- double _beta;
+ std::vector<double> _beta;
+ std::vector<double> _weight_structure;
double _alpha_structure;
ModelMonoField _q;
@@ -69,21 +73,39 @@ namespace sobolev_df
ModelField _m2y;
ModelField _mxmy;
gmshfem::problem::Formulation< std::complex< double > > _filter_formulation;
+
+ gmshfem::function::TensorFunction< std::complex< double > > _D;
bool _structureIsUpToDate;
bool _filterIsFactorized;
public:
- InnerProduct(const ConfigurationInterface* const config, const model::Discretization& m_discret, const gmshfem::common::GmshFem& gmshFem, std::string suffix="") : SobolevInnerProductInterface(config,m_discret,gmshFem,suffix), _q("_q",_config->model_evaldomain(),_config->model_gmodel(),m_discret), _filter_formulation("_filter_formulation"), _structureIsUpToDate(false), _filterIsFactorized(false)
+ InnerProduct(const ConfigurationInterface* const config, const model::Discretization& m_discret, const gmshfem::common::GmshFem& gmshFem, std::string suffix="") : SobolevInnerProductInterface(config,m_discret,gmshFem,suffix), _beta(_m_size,0.), _weight_structure(_m_size,1./((double)_m_size)), _q("_q",_config->model_evaldomain(),_config->model_gmodel(),m_discret), _filter_formulation("_filter_formulation"), _structureIsUpToDate(false), _filterIsFactorized(false)
{
_m2x = ModelField(_m_size,ModelMonoField("_m2x",_config->model_evaldomain(),_config->model_gmodel(),m_discret));
_m2y = ModelField(_m_size,ModelMonoField("_m2y",_config->model_evaldomain(),_config->model_gmodel(),m_discret));
_mxmy = ModelField(_m_size,ModelMonoField("_mxmy",_config->model_evaldomain(),_config->model_gmodel(),m_discret));
- if(!(
- gmshFem.userDefinedParameter(_beta, "innerproduct_beta") ||
- gmshFem.userDefinedParameter(_beta, "innerproduct_beta"+suffix)
- ))
+
+ for (unsigned int c = 0; c < _m_size; c++)
{
- throw gmshfem::common::Exception("A directional filter sobolev inner product parameter (beta) could not be found.");
+ std::string suffix1 = "c"+std::to_string(c);
+ if(!(
+ gmshFem.userDefinedParameter(_beta[c], "innerproduct_beta") ||
+ gmshFem.userDefinedParameter(_beta[c], "innerproduct_beta"+suffix) ||
+ gmshFem.userDefinedParameter(_beta[c], "innerproduct_beta"+suffix1) ||
+ gmshFem.userDefinedParameter(_beta[c], "innerproduct_beta"+suffix+suffix1)
+
+ ))
+ {
+ throw gmshfem::common::Exception("A directional filter sobolev inner product parameter (beta) could not be found.");
+ }
+ if(!(
+ gmshFem.userDefinedParameter(_weight_structure[c], "innerproduct_structure_weight"+suffix1) ||
+ gmshFem.userDefinedParameter(_weight_structure[c], "innerproduct_structure_weight"+suffix+suffix1)
+ ))
+ {
+ gmshfem::msg::warning << "A directional filter sobolev inner product parameter (weight) could not be found. Equal weights are used." << gmshfem::msg::endl;
+ }
}
+
double scale_structure;
if(!(
gmshFem.userDefinedParameter(scale_structure, "innerproduct_scale_structure") ||
@@ -94,18 +116,34 @@ namespace sobolev_df
}
_alpha_structure = (scale_structure / 2. / M_PI) * (scale_structure / 2. / M_PI);
};
- InnerProduct(const ConfigurationInterface* const config, const ModelField& m, const gmshfem::common::GmshFem& gmshFem, std::string suffix="") : SobolevInnerProductInterface(config,m,gmshFem,suffix), _q(m[0]), _filter_formulation("_filter_formulation"), _structureIsUpToDate(false), _filterIsFactorized(false)
+ InnerProduct(const ConfigurationInterface* const config, const ModelField& m, const gmshfem::common::GmshFem& gmshFem, std::string suffix="") : SobolevInnerProductInterface(config,m,gmshFem,suffix), _beta(_m_size,0.), _weight_structure(_m_size,1./((double)_m_size)), _q(m[0]), _filter_formulation("_filter_formulation"), _structureIsUpToDate(false), _filterIsFactorized(false)
{
_m2x = m;
_m2y = m;
_mxmy = m;
- if(!(
- gmshFem.userDefinedParameter(_beta, "innerproduct_beta") ||
- gmshFem.userDefinedParameter(_beta, "innerproduct_beta"+suffix)
- ))
+
+ for (unsigned int c = 0; c < _m_size; c++)
{
- throw gmshfem::common::Exception("A directional filter sobolev inner product parameter (beta) could not be found.");
+ std::string suffix1 = "c"+std::to_string(c);
+ if(!(
+ gmshFem.userDefinedParameter(_beta[c], "innerproduct_beta") ||
+ gmshFem.userDefinedParameter(_beta[c], "innerproduct_beta"+suffix) ||
+ gmshFem.userDefinedParameter(_beta[c], "innerproduct_beta"+suffix1) ||
+ gmshFem.userDefinedParameter(_beta[c], "innerproduct_beta"+suffix+suffix1)
+ ))
+ {
+ throw gmshfem::common::Exception("A directional filter sobolev inner product parameter (beta) could not be found.");
+ }
+
+ if(!(
+ gmshFem.userDefinedParameter(_weight_structure[c], "innerproduct_structure_weight"+suffix1) ||
+ gmshFem.userDefinedParameter(_weight_structure[c], "innerproduct_structure_weight"+suffix+suffix1)
+ ))
+ {
+ gmshfem::msg::warning << "A directional filter sobolev inner product parameter (weight) could not be found. Equal weights are used." << gmshfem::msg::endl;
+ }
}
+
double scale_structure;
if(!(
gmshFem.userDefinedParameter(scale_structure, "innerproduct_scale_structure") ||
@@ -118,7 +156,8 @@ namespace sobolev_df
};
virtual void modelIsObsolete() override;
-
+ virtual bool iteration(double iteration) override; //return: is obsolete at iteration ?
+ virtual std::complex<double> penalization(const ModelField& m1,const ModelField& m2) const override;
private:
virtual void setLHS();
diff --git a/specific/model/regularization/flooding.cpp b/specific/model/regularization/flooding.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..f72b86863f6b2f2eb6d235473f4ce4775af449a7
--- /dev/null
+++ b/specific/model/regularization/flooding.cpp
@@ -0,0 +1,81 @@
+//GmshFEM Library
+#include "Function.h"
+
+//GmshFWI Library
+#include "flooding.h"
+
+using namespace gmshfem;
+using namespace gmshfem::common;
+using namespace gmshfem::equation;
+using namespace gmshfem::function;
+using namespace gmshfem::post;
+
+/*
+* Flooding
+*/
+namespace flooding
+{
+ Regularization::Regularization(const ConfigurationInterface* const config, const ModelField& m, const gmshfem::common::GmshFem& gmshFem, std::string suffix) : DifferentialRegularizationInterface(config,m,gmshFem,suffix)
+ {
+ if(!(
+ gmshFem.userDefinedParameter(_p, "regularization_p") ||
+ gmshFem.userDefinedParameter(_p, "regularization_p"+suffix)
+ ))
+ {
+ throw Exception("Regularization order could not be found.");
+ }
+ if(_p<0.5)
+ {
+ throw Exception("Flooding regularization parameter p could not be smaller than 0.5.");
+ }
+
+ };
+
+ double Regularization::performance(const ModelField& m)
+ {
+ std::complex<double> out = 0.;
+ for (unsigned int c = 0; c < _m_size; c++)
+ {
+ ScalarFunction<std::complex<double>> mz = yComp(grad(m[c]));
+ ScalarFunction<std::complex<double>> f = (abs(mz) - mz) / 2.;
+ out += _lambda[c] * integrate( pow(f,2.*_p) / 2. / _p, _config->model_unknown(Support::BLK), integrationType(_integrationDegreeBlk) );
+ }
+ return std::real(out);
+ }
+
+ void Regularization::setRHS(Order order, Support support, const ModelState& ms)
+ {
+ for (unsigned int c = 0; c < _m_size; c++)
+ {
+ ScalarFunction<std::complex<double>> mz = yComp(grad(ms.field(Type::FS)[c]));
+ ScalarFunction<std::complex<double>> f = (abs(mz) - mz) / 2.;
+
+ ScalarFunction<std::complex<double>> partition = heaviside< std::complex< double > >( -mz );
+ VectorFunction< std::complex< double > > integrand;
+ if(_p==0.5)
+ {
+ integrand = vector< std::complex< double > >(0.,-partition,0.);
+ }
+ else
+ {
+ integrand = vector< std::complex< double > >(0.,-partition * pow(f,2.*_p-1.),0.);
+ }
+
+ switch (support)
+ {
+ case Support::BND:default:break;
+ case Support::BLK:
+ switch (order)
+ {
+ case Order::FST:
+ _formulation[c].integral(-1. * _lambda[c] * integrand, grad(tf(_k[c])),_config->model_unknown(Support::BLK), integrationType(_integrationDegreeBlk));
+ break;
+ case Order::SCD:
+ break;
+ default:break;
+ }
+ break;
+ }
+ }
+ }
+};
diff --git a/specific/model/regularization/flooding.h b/specific/model/regularization/flooding.h
new file mode 100644
index 0000000000000000000000000000000000000000..d4a43d0ff61c258558300519ec9976f4435078df
--- /dev/null
+++ b/specific/model/regularization/flooding.h
@@ -0,0 +1,28 @@
+#ifndef H_SPECIFIC_WAVE_REGULARIZATION_FLOODING
+#define H_SPECIFIC_WAVE_REGULARIZATION_FLOODING
+
+//GmshFEM Library
+#include "GmshFem.h"
+
+//GmshFWI Library
+#include "../../../common/model/regularization/regularization.h"
+
+/*
+* Flooding
+*/
+namespace flooding
+{
+ class Regularization final: public DifferentialRegularizationInterface
+ {
+ private:
+ double _p;
+ public:
+ Regularization(const ConfigurationInterface* const config, const ModelField& m, const gmshfem::common::GmshFem& gmshFem, std::string suffix="");
+
+ virtual double performance(const ModelField& m);
+
+ virtual void setRHS(Order order, Support support, const ModelState& ms);
+ };
+};
+
+#endif //H_SPECIFIC_WAVE_REGULARIZATION_FLOODING
diff --git a/specific/model/regularization/newRegularization.cpp b/specific/model/regularization/newRegularization.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..1d259315584d86e05c55869260ba216bd613dc79
--- /dev/null
+++ b/specific/model/regularization/newRegularization.cpp
@@ -0,0 +1,28 @@
+//Standard Library
+#include <string>
+
+//GmshFEM Library
+#include "Exception.h"
+
+//GmshFWI Library
+#include "tikhonov.h"
+#include "totalvariation.h"
+#include "flooding.h"
+
+RegularizationInterface* newRegularization(const ConfigurationInterface* const config, const ModelField& m, const gmshfem::common::GmshFem& gmshFem, std::string suffix)
+{
+ std::string regularization;
+ if(!gmshFem.userDefinedParameter(regularization, "regularization"))
+ {
+ gmshfem::msg::warning << "Regularization type could not be found." << gmshfem::msg::endl;
+ return nullptr;
+ }
+ if(regularization=="tikhonov"){return new tikhonov::Regularization(config,m,gmshFem, suffix);}
+ else if(regularization=="totalvariation"){return new totalvariation::Regularization(config,m,gmshFem, suffix);}
+ else if(regularization=="flooding"){return new flooding::Regularization(config,m,gmshFem, suffix);}
+ else
+ {
+ throw gmshfem::common::Exception("Regularization " + regularization + " is not valid.");
+ return nullptr;
+ }
+}
diff --git a/specific/model/regularization/newRegularization.h b/specific/model/regularization/newRegularization.h
new file mode 100644
index 0000000000000000000000000000000000000000..49d3e9652bdcbda93a5ec6d117cb41d674621ab7
--- /dev/null
+++ b/specific/model/regularization/newRegularization.h
@@ -0,0 +1,12 @@
+#ifndef H_SPECIFIC_MODEL_NEWREGULARIZATION
+#define H_SPECIFIC_MODEL_NEWREGULARIZATION
+
+//Standard Library
+//GmshFEM Library
+#include "GmshFem.h"
+//GmshFWI Library
+#include "../../../common/model/regularization/regularization.h"
+
+RegularizationInterface* newRegularization(const ConfigurationInterface* const config, const ModelField& m, const gmshfem::common::GmshFem& gmshFem, std::string suffix = "");
+
+#endif //H_SPECIFIC_MODEL_NEWREGULARIZATION
diff --git a/specific/model/regularization/tikhonov.cpp b/specific/model/regularization/tikhonov.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..0afdc23c55e7061916bed862e1dc2701e7968dfd
--- /dev/null
+++ b/specific/model/regularization/tikhonov.cpp
@@ -0,0 +1,50 @@
+//GmshFEM Library
+
+//GmshFWI Library
+#include "tikhonov.h"
+
+using namespace gmshfem;
+using namespace gmshfem::common;
+using namespace gmshfem::equation;
+using namespace gmshfem::function;
+using namespace gmshfem::post;
+
+/*
+* Tikhonov
+*/
+namespace tikhonov
+{
+ Regularization::Regularization(const ConfigurationInterface* const config, const ModelField& m, const gmshfem::common::GmshFem& gmshFem, std::string suffix) : DifferentialRegularizationInterface(config,m,gmshFem,suffix) {};
+
+ double Regularization::performance(const ModelField& m)
+ {
+ std::complex<double> out = 0.;
+ for (unsigned int c = 0; c < _m_size; c++)
+ {
+ out += _lambda[c] * integrate( conj(grad(m[c])) * grad(m[c]), _config->model_unknown(Support::BLK), integrationType(_integrationDegreeBlk) );
+ }
+ return std::real(out);
+ }
+ void Regularization::setRHS(Order order, Support support, const ModelState& ms)
+ {
+ for (unsigned int c = 0; c < _m_size; c++)
+ {
+ switch (support)
+ {
+ case Support::BND:default:break;
+ case Support::BLK:
+ switch (order)
+ {
+ case Order::FST:
+ _formulation[c].integral(-2. * _lambda[c] * conj(grad(ms.field(Type::FS)[c])),grad(tf(_k[c])), _config->model_unknown(Support::BLK), integrationType(_integrationDegreeBlk));
+ break;
+ case Order::SCD:
+ _formulation[c].integral(-2. * _lambda[c] * conj(grad(ms.field(Type::PFS)[c])),grad(tf(_k[c])), _config->model_unknown(Support::BLK), integrationType(_integrationDegreeBlk));
+ break;
+ default:break;
+ }
+ break;
+ }
+ }
+ }
+};
diff --git a/specific/model/regularization/tikhonov.h b/specific/model/regularization/tikhonov.h
new file mode 100644
index 0000000000000000000000000000000000000000..14ee7cfb1b7ee4805527efbc3510b94654ec8591
--- /dev/null
+++ b/specific/model/regularization/tikhonov.h
@@ -0,0 +1,26 @@
+#ifndef H_SPECIFIC_WAVE_REGULARIZATION_TIKHONOV
+#define H_SPECIFIC_WAVE_REGULARIZATION_TIKHONOV
+
+//GmshFEM Library
+#include "GmshFem.h"
+
+//GmshFWI Library
+#include "../../../common/model/regularization/regularization.h"
+
+/*
+* Tikhonov
+*/
+namespace tikhonov
+{
+ class Regularization final: public DifferentialRegularizationInterface
+ {
+ public:
+ Regularization(const ConfigurationInterface* const config, const ModelField& m, const gmshfem::common::GmshFem& gmshFem, std::string suffix="");
+
+ virtual double performance(const ModelField& m);
+
+ virtual void setRHS(Order order, Support support, const ModelState& ms);
+ };
+};
+
+#endif //H_SPECIFIC_WAVE_REGULARIZATION_TIKHONOV
diff --git a/specific/model/regularization/totalvariation.cpp b/specific/model/regularization/totalvariation.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..9ea6872a0dde6b5ed667dac011aa086badc8145d
--- /dev/null
+++ b/specific/model/regularization/totalvariation.cpp
@@ -0,0 +1,71 @@
+//GmshFEM Library
+#include "Function.h"
+
+//GmshFWI Library
+#include "totalvariation.h"
+
+using namespace gmshfem;
+using namespace gmshfem::common;
+using namespace gmshfem::equation;
+using namespace gmshfem::function;
+using namespace gmshfem::post;
+
+/*
+* Total variation
+*/
+namespace totalvariation
+{
+ Regularization::Regularization(const ConfigurationInterface* const config, const ModelField& m, const gmshfem::common::GmshFem& gmshFem, std::string suffix) : DifferentialRegularizationInterface(config,m,gmshFem,suffix), _beta(_m_size,0.)
+ {
+ for (unsigned int c = 0; c < _m_size; c++)
+ {
+ std::string suffix1 = "c"+std::to_string(c);
+ if(!(
+ gmshFem.userDefinedParameter(_beta[c], "regularization_beta") ||
+ gmshFem.userDefinedParameter(_beta[c], "regularization_beta"+suffix)
+ ||
+ gmshFem.userDefinedParameter(_beta[c], "regularization_beta"+suffix1) ||
+ gmshFem.userDefinedParameter(_beta[c], "regularization_beta"+suffix1+suffix)
+
+ ))
+ {
+ throw Exception("Regularization stabilization (beta) could not be found.");
+ }
+ }
+ };
+
+ double Regularization::performance(const ModelField& m)
+ {
+ std::complex<double> out = 0.;
+ for (unsigned int c = 0; c < _m_size; c++)
+ {
+ out += _lambda[c] * integrate( norm(grad(m[c])), _config->model_unknown(Support::BLK), integrationType(_integrationDegreeBlk) );
+ }
+ return std::real(out);
+ }
+
+ void Regularization::setRHS(Order order, Support support, const ModelState& ms)
+ {
+ for (unsigned int c = 0; c < _m_size; c++)
+ {
+ ScalarFunction<std::complex<double>> norm = sqrt(conj(grad(ms.field(Type::FS)[c]))*grad(ms.field(Type::FS)[c])+_beta[c]*_beta[c]);
+ switch (support)
+ {
+ case Support::BND:default:break;
+ case Support::BLK:
+ switch (order)
+ {
+ case Order::FST:
+ _formulation[c].integral(-1. * _lambda[c] * conj(grad(ms.field(Type::FS)[c]))/norm,grad(tf(_k[c])), _config->model_unknown(Support::BLK), integrationType(_integrationDegreeBlk));
+ break;
+ case Order::SCD:
+ _formulation[c].integral(-1. * _lambda[c] * conj(grad(ms.field(Type::PFS)[c]))/norm,grad(tf(_k[c])), _config->model_unknown(Support::BLK), integrationType(_integrationDegreeBlk));
+ _formulation[c].integral(_lambda[c] / pow(norm,3) * conj(grad(ms.field(Type::PFS)[c]))*grad(ms.field(Type::FS)[c]),conj(grad(ms.field(Type::FS)[c]))*grad(tf(_k[c])), _config->model_unknown(Support::BLK), integrationType(_integrationDegreeBlk));
+ break;
+ default:break;
+ }
+ break;
+ }
+ }
+ }
+};
diff --git a/specific/model/regularization/totalvariation.h b/specific/model/regularization/totalvariation.h
new file mode 100644
index 0000000000000000000000000000000000000000..9ccd5f666042c3cb0a4910ca4e32862ac765caf7
--- /dev/null
+++ b/specific/model/regularization/totalvariation.h
@@ -0,0 +1,28 @@
+#ifndef H_SPECIFIC_WAVE_REGULARIZATION_TOTALVARIATION
+#define H_SPECIFIC_WAVE_REGULARIZATION_TOTALVARIATION
+
+//GmshFEM Library
+#include "GmshFem.h"
+
+//GmshFWI Library
+#include "../../../common/model/regularization/regularization.h"
+
+/*
+* Total variation
+*/
+namespace totalvariation
+{
+ class Regularization final: public DifferentialRegularizationInterface
+ {
+ private:
+ std::vector<double> _beta;
+ public:
+ Regularization(const ConfigurationInterface* const config, const ModelField& m, const gmshfem::common::GmshFem& gmshFem, std::string suffix="");
+
+ virtual double performance(const ModelField& m);
+
+ virtual void setRHS(Order order, Support support, const ModelState& ms);
+ };
+};
+
+#endif //H_SPECIFIC_WAVE_REGULARIZATION_TIKHONOV
diff --git a/specific/model/sweeper.cpp b/specific/model/sweeper.cpp
index 73ff675a2692b11f7108c89c57f667c7da40015c..a1488b88b72d5c87366a6758c38db6c1e58a43d3 100644
--- a/specific/model/sweeper.cpp
+++ b/specific/model/sweeper.cpp
@@ -3,8 +3,13 @@
using namespace gmshfem;
using namespace gmshfem::common;
+using namespace gmshfem::equation;
using namespace gmshfem::function;
+/*
+* ModelFunctionSweeper
+*/
+
ModelFunctionSweeperInterface* newModelFunctionSweeper(const gmshfem::common::GmshFem& gmshFem)
{
std::string sweeper;
@@ -126,3 +131,119 @@ namespace linear
return ModelFunction(1,m);
}
}
+
+/*
+* ModelFieldSweeper
+*/
+ModelFieldSweeperInterface* newModelFieldSweeper(std::string name, const ConfigurationInterface* const config, const model::Discretization& m_discret, const gmshfem::common::GmshFem& gmshFem)
+{
+ std::string sweeper;
+ if(!gmshFem.userDefinedParameter(sweeper, "sweeper_"+name+"_type"))
+ {
+ throw gmshfem::common::Exception("Sweeping type for "+name+" could not be found.");
+ }
+ if(sweeper=="constant"){return new constant::ModelFieldSweeper(name,config,m_discret,gmshFem);}
+ else if(sweeper=="gaussian"){return new gaussian::ModelFieldSweeper(name,config,m_discret,gmshFem,false);}
+ else if(sweeper=="derivative_gaussian"){return new gaussian::ModelFieldSweeper(name,config,m_discret,gmshFem,true);}
+ else
+ {
+ throw gmshfem::common::Exception("Sweeping type " + sweeper + " is not valid.");
+ return nullptr;
+ }
+}
+
+namespace constant
+{
+ ModelFieldSweeper::ModelFieldSweeper(std::string name, const ConfigurationInterface* const config, const model::Discretization& m_discret, const gmshfem::common::GmshFem& gmshFem) : ModelFieldSweeperInterface(name,config,m_discret,gmshFem), _N(std::numeric_limits<unsigned int>::max())
+ {
+ if(!gmshFem.userDefinedParameter(_m0, "sweeper_"+name+"_m0"))
+ {
+ throw Exception("Sweeper parameter (m0) could not be found");
+ }
+ _formulation.integral(-_m0, tf(_k[0]),_config->model_unknown(Support::BLK), _integrationType+"10");
+ _formulation.assemble();
+ _formulation.removeTerms();
+ _formulation.solve(true);
+ }
+
+ ModelField ModelFieldSweeper::operator()(unsigned int index1, unsigned int index2) const
+ {
+ return _k;
+ }
+ std::array<double,2> ModelFieldSweeper::value(unsigned int index1, unsigned int index2) const
+ {
+ return {_m0, 0.};
+ }
+ std::array<unsigned int,2> ModelFieldSweeper::max_idx() const
+ {
+ return {_N,0};
+ }
+}
+
+namespace gaussian
+{
+ ModelFieldSweeper::ModelFieldSweeper(std::string name, const ConfigurationInterface* const config, const model::Discretization& m_discret, const gmshfem::common::GmshFem& gmshFem, bool derivative) : ModelFieldSweeperInterface(name,config,m_discret,gmshFem), _derivative(derivative)
+ {
+ if(!gmshFem.userDefinedParameter(_a0, "sweeper_"+name+"_a0"))
+ {
+ throw Exception("Sweeper parameter (a0) could not be found");
+ }
+ if(!gmshFem.userDefinedParameter(_aN, "sweeper_"+name+"_aN"))
+ {
+ throw Exception("Sweeper parameter (aN) could not be found");
+ }
+ if(!gmshFem.userDefinedParameter(_N, "sweeper_"+name+"_N"))
+ {
+ throw Exception("Sweeper parameter (N) could not be found");
+ }
+ if(!gmshFem.userDefinedParameter(_x0, "sweeper_"+name+"_x0"))
+ {
+ throw Exception("Sweeper parameter (x0) could not be found");
+ }
+ if(!gmshFem.userDefinedParameter(_y0, "sweeper_"+name+"_y0"))
+ {
+ throw Exception("Sweeper parameter (y0) could not be found");
+ }
+ if(!gmshFem.userDefinedParameter(_minf, "sweeper_"+name+"_minf"))
+ {
+ throw Exception("Sweeper parameter (minf) could not be found");
+ }
+ if(!gmshFem.userDefinedParameter(_mg, "sweeper_"+name+"_mg"))
+ {
+ throw Exception("Sweeper parameter (mg) could not be found");
+ }
+
+ if(_N!=0){_step = (_aN-_a0) / ((double)_N);}
+ }
+
+ ModelField ModelFieldSweeper::operator()(unsigned int index1, unsigned int index2) const
+ {
+ double a = value(index1,index2)[0];
+ ScalarFunction<std::complex<double>> r2 = pow(x<std::complex<double>>()-_x0,2) + pow(y<std::complex<double>>()-_y0,2);
+ ModelMonoFunction m;
+ if(!_derivative)
+ {
+ m = _minf + _mg * exp( - a * r2 );
+ }
+ else
+ {
+ m = - _mg * r2 * exp( - a * r2 );
+ }
+
+ _formulation.integral(-m, tf(_k[0]),_config->model_unknown(Support::BLK), _integrationType+"10");
+ _formulation.assemble();
+ _formulation.removeTerms();
+ _formulation.solve(true);
+ _formulation.setRHSToZero();
+
+ return _k;
+ }
+ std::array<double,2> ModelFieldSweeper::value(unsigned int index1, unsigned int index2) const
+ {
+ return {_a0 + ((double) index1) * _step, 0.};
+ }
+ std::array<unsigned int,2> ModelFieldSweeper::max_idx() const
+ {
+ return {_N,0};
+ }
+}
diff --git a/specific/model/sweeper.h b/specific/model/sweeper.h
index 9376e3252207da1f481944d3b86494e1010ddd27..0ec4bf8ab1dd1e19525737c4ef9d0d3389007845 100644
--- a/specific/model/sweeper.h
+++ b/specific/model/sweeper.h
@@ -72,4 +72,44 @@ namespace linear
};
};
+ModelFieldSweeperInterface* newModelFieldSweeper(std::string name, const ConfigurationInterface* const config, const model::Discretization& m_discret, const gmshfem::common::GmshFem& gmshFem);
+
+namespace constant
+{
+ class ModelFieldSweeper : public ModelFieldSweeperInterface
+ {
+ private:
+ double _m0;
+ unsigned int _N;
+ public:
+ ModelFieldSweeper(std::string name, const ConfigurationInterface* const config, const model::Discretization& m_discret, const gmshfem::common::GmshFem& gmshFem);
+ virtual ModelField operator()(unsigned int index1, unsigned int index2) const;
+ virtual std::array<double,2> value(unsigned int index1, unsigned int index2) const;
+ virtual std::array<unsigned int,2> max_idx() const;
+ };
+}
+
+namespace gaussian
+{
+ class ModelFieldSweeper : public ModelFieldSweeperInterface
+ {
+ private:
+ bool _derivative;
+
+ double _a0;
+ double _aN;
+ unsigned int _N;
+ double _x0;
+ double _y0;
+ double _minf;
+ double _mg;
+
+ double _step;
+ public:
+ ModelFieldSweeper(std::string name, const ConfigurationInterface* const config, const model::Discretization& m_discret, const gmshfem::common::GmshFem& gmshFem, bool derivative = false);
+ virtual ModelField operator()(unsigned int index1, unsigned int index2) const;
+ virtual std::array<double,2> value(unsigned int index1, unsigned int index2) const;
+ virtual std::array<unsigned int,2> max_idx() const;
+ };
+}
#endif // H_COMMON_MODEL_SWEEPER
diff --git a/specific/optimization/globalminimumsearch/newGlobalMinimumSearch.h b/specific/optimization/globalminimumsearch/newGlobalMinimumSearch.h
index c2c688027de8fa44e0080eaa224d7ed7a1939d27..7243d714c717921dbbcabd9438a15f0c8398f3e2 100644
--- a/specific/optimization/globalminimumsearch/newGlobalMinimumSearch.h
+++ b/specific/optimization/globalminimumsearch/newGlobalMinimumSearch.h
@@ -9,7 +9,7 @@
#include "Exception.h"
//FWI Library
-#include "sequentialscale.h"
+#include "sequential.h"
template<Physic T_Physic>
GlobalMinimumSearchInterface<T_Physic>* newGlobalMinimumSearch(const std::string& name, const ConfigurationInterface* const config, const gmshfem::common::GmshFem& gmshFem, const std::string& suffix = "")
@@ -19,7 +19,7 @@ GlobalMinimumSearchInterface<T_Physic>* newGlobalMinimumSearch(const std::string
{
throw gmshfem::common::Exception("Global minimum search type could not be found.");
}
- if(minimumsearch=="sequentialscale"){return new sequentialscale::GlobalMinimumSearch<T_Physic>(name, config, gmshFem, suffix);}
+ if(minimumsearch=="sequential" || minimumsearch=="mono"){return new sequential::GlobalMinimumSearch<T_Physic>(name, config, gmshFem, suffix);}
else
{
throw gmshfem::common::Exception("Global minimum search " + minimumsearch + " is not valid.");
diff --git a/specific/optimization/globalminimumsearch/sequentialscale.cpp b/specific/optimization/globalminimumsearch/sequential.cpp
similarity index 57%
rename from specific/optimization/globalminimumsearch/sequentialscale.cpp
rename to specific/optimization/globalminimumsearch/sequential.cpp
index f4d70b9e314e52f78546f701796e3a4c7ccd9779..d93ba5d6193ef3b3b08359893230f9c9c9977f2d 100644
--- a/specific/optimization/globalminimumsearch/sequentialscale.cpp
+++ b/specific/optimization/globalminimumsearch/sequential.cpp
@@ -1,10 +1,12 @@
//GmshFEM Library
#include "Exception.h"
+#include "Message.h"
//GmshFWI Library
-#include "sequentialscale.h"
+#include "sequential.h"
#include "../../data/objective/newObjective.h"
#include "../../model/innerproduct/newInnerProduct.h"
+#include "../../model/regularization/newRegularization.h"
#include "../../../common/statefunctional.h"
#include "../../optimization/descentsearch/newDescentSearch.h"
#include "../../optimization/linesearch/newLineSearch.h"
@@ -13,7 +15,7 @@
using namespace gmshfem;
using namespace gmshfem::common;
-namespace sequentialscale
+namespace sequential
{
/*
* class GlobalMinimumSearchHistoryLine2
@@ -22,11 +24,11 @@ namespace sequentialscale
{
if(write_header)
{
- file << "Performance" << "Relative decrease" << "Scale" << csv::endl;
+ file << "Performance" << "Relative decrease" << "Sequential parameter" << "Objective" << "Regularization" << csv::endl;
}
else
{
- file << performance << relDecrease << scale << csv::endl;
+ file << performance << relDecrease << sequential_parameter << perf_obj << perf_reg << csv::endl;
}
}
@@ -37,12 +39,12 @@ namespace sequentialscale
{
if(write_header)
{
- file << "Success" << "Scale number" << csv::endl;
+ file << "Success" << "Scale number" << "Parameter type" << csv::endl;
file << "History" << csv::endl;
}
else
{
- file << success << nscale << csv::endl;
+ file << success << nseq << type << csv::endl;
if(!history.empty())
{
history.begin()->write(file,true);
@@ -81,45 +83,47 @@ namespace sequentialscale
template<Physic T_Physic>
GlobalMinimumSearch<T_Physic>::GlobalMinimumSearch(const std::string& name, const ConfigurationInterface* const config, const GmshFem& gmshFem, const std::string& suffix) : GlobalMinimumSearchInterface<T_Physic>::GlobalMinimumSearchInterface(name,config), _history( new GlobalMinimumSearchHistory() ), _gmshFem(gmshFem), _suffix(suffix)
{
- if(!(
- gmshFem.userDefinedParameter(_n_scale, "globalminimum_n_scale") ||
- gmshFem.userDefinedParameter(_n_scale, "globalminimum_n_scale"+suffix)
- )
- )
+ std::string minimumsearch;
+ gmshFem.userDefinedParameter(minimumsearch, "globalminimumsearch");
+ if(minimumsearch=="mono")
{
- throw Exception("Number of scale for group "+suffix+" could not be found.");
+ _type = "none";
+ _n_seq = 1;
+ _seq_parameters.resize(_n_seq);
+ _seq_parameters[0]=0.;
}
- if(!(
- gmshFem.userDefinedParameter(_minNscale, "globalminimum_minNscale") ||
- gmshFem.userDefinedParameter(_minNscale, "globalminimum_minNscale"+suffix)
- )
- )
+ else
{
- msg::warning << "Minimum number of scales (globalminimum_minNscale) could not be found." << msg::endl;
- _minNscale = 0;
- }
- if(!(
- gmshFem.userDefinedParameter(_relDecreaseThreshold, "globalminimum_relDecreaseThreshold") ||
- gmshFem.userDefinedParameter(_relDecreaseThreshold, "globalminimum_relDecreaseThreshold"+suffix)
+ _type = "innerproduct_strength";
+ if(!(
+ gmshFem.userDefinedParameter(_type, "globalminimum_type") ||
+ gmshFem.userDefinedParameter(_type, "globalminimum_type"+suffix)
)
- )
- {
- msg::warning << "Global minimum relative decrease threshold (relDecreaseThreshold) could not be found." << msg::endl;
- _relDecreaseThreshold = 0.0;
- }
- _scale.resize(_n_scale);
- for (unsigned int sc = 0; sc < _n_scale; sc++)
- {
- std::string suffix1 = std::to_string(sc);
+ )
+ {
+ msg::warning << "Sequential globalminimum parameter type could not be found. Default is used (innerproduct_strength)." << msg::endl;
+ }
if(!(
- _gmshFem.userDefinedParameter(_scale[sc], "scale")
- ||
- _gmshFem.userDefinedParameter(_scale[sc], "scale"+suffix)
- ||
- _gmshFem.userDefinedParameter(_scale[sc], "scale"+suffix+suffix1)
- ))
+ gmshFem.userDefinedParameter(_n_seq, "globalminimum_n_seq") ||
+ gmshFem.userDefinedParameter(_n_seq, "globalminimum_n_scale"+suffix)
+ )
+ )
{
- throw Exception("Scale "+suffix1+" could not be found.");
+ throw Exception("Number of sequence for group "+suffix+" could not be found.");
+ }
+ _seq_parameters.resize(_n_seq);
+ for (unsigned int sq = 0; sq < _n_seq; sq++)
+ {
+ std::string suffix1 = "s"+std::to_string(sq);
+ std::string root = "globalminimum_sequential_parameter";
+ if(!(
+ _gmshFem.userDefinedParameter(_seq_parameters[sq],root+suffix1)
+ ||
+ _gmshFem.userDefinedParameter(_seq_parameters[sq],root+suffix+suffix1)
+ ))
+ {
+ throw Exception("Sequential parameter "+suffix1+" could not be found.");
+ }
}
}
}
@@ -127,7 +131,7 @@ namespace sequentialscale
template<Physic T_Physic>
void GlobalMinimumSearch<T_Physic>::operator()(ModelField* const m, const Data<T_Physic>& d0, const std::vector<EquationInterface<T_Physic>*>& equation) const
{
- msg::print << "Search global minimum (sequential scale)" << msg::endl;
+ msg::print << "Search global minimum (sequential)" << msg::endl;
msg::indent();
unsigned int n_freq = d0.nf();
@@ -138,7 +142,8 @@ namespace sequentialscale
ObjectiveInterface<T_Physic>* const objective = newObjective<T_Physic>(d0,_config,_gmshFem,_suffix);
InnerProductInterface* const innerproduct = newInnerProduct(_config,*m,_gmshFem,_suffix);
- StateFunctional<T_Physic>* const statefunctional = new StateFunctional<T_Physic>(_config,innerproduct,d0.frequency(),equation,objective);
+ RegularizationInterface* const regularization = newRegularization(_config,*m,_gmshFem,_suffix);
+ StateFunctional<T_Physic>* const statefunctional = new StateFunctional<T_Physic>(_config,innerproduct,regularization,d0.frequency(),equation,objective);
FunctionalInterface* const functional = statefunctional;
functional->setModel(*m);
@@ -150,19 +155,30 @@ namespace sequentialscale
std::vector<GlobalMinimumSearchHistoryLine2> historyline;
double js_1 =0.;
double js = functional->performance();
- historyline.emplace_back(js,0.,0.);
+ historyline.emplace_back(js,0.,0.,statefunctional->performance_objective(),statefunctional->performance_regularization());
double rel_djs = 0.;
bool success = false;
- unsigned int sc = 0;
- for (sc = 0; sc < _n_scale; sc++)
+ unsigned int sq = 0;
+ for (sq = 0; sq < _n_seq; sq++)
{
- std::string suffix1 = std::to_string(sc);
- msg::print << "--- Scale #" << suffix1 << " = " << _scale[sc] << " --- " << msg::endl;
- msg::indent();
- innerproduct->scale(_scale[sc]);
- objective->scale(_scale[sc]);
- statefunctional->innerproductIsObsolete();
- statefunctional->objectiveIsObsolete();
+ std::string suffix1 = std::to_string(sq);
+ if (_type != "none")
+ {
+ msg::print << "--- Sequence #" << suffix1 << ": " << _seq_parameters[sq] << " --- " << msg::endl;
+ msg::indent();
+ }
+
+ if (_type == "none"){}
+ else if(_type=="innerproduct_strength")
+ {
+ innerproduct->scale(_seq_parameters[sq]);
+ statefunctional->innerproductIsObsolete();
+ }
+ else if(_type=="regularization_strength")
+ {
+ regularization->lambda(_seq_parameters[sq]);
+ statefunctional->regularizationIsObsolete();
+ }
minimumsearch->name(_name+"g"+_suffix+"s"+suffix1);
js_1=js;
(*minimumsearch)(m, functional, descentsearch, linesearch);
@@ -171,15 +187,11 @@ namespace sequentialscale
//statefunctional->write_data(Type::FS,_name+"_dg"+_suffix+"s"+suffix1,"pos");
rel_djs = 2. * (js_1-js) / (js_1+js);
msg::print << "relative decrease = " << rel_djs << msg::endl;
- historyline.emplace_back(js,rel_djs,_scale[sc]);
- msg::unindent();
- if(rel_djs < _relDecreaseThreshold && (sc+1) >= _minNscale)
- {
- success=true;
- break;
- }
+ historyline.emplace_back(js,rel_djs,_seq_parameters[sq],statefunctional->performance_objective(),statefunctional->performance_regularization());
+ if (_type != "none"){msg::unindent();}
}
- _history->emplace_back(success,sc,historyline);
+ success=true;
+ _history->emplace_back(success,sq,historyline);
minimumsearch->history()->write(_name+"_localminimum_historyg" + _suffix);
descentsearch->history()->write(_name+"_descent_historyg" + _suffix);
@@ -194,6 +206,7 @@ namespace sequentialscale
delete functional;
delete innerproduct;
+ delete regularization;
delete objective;
msg::unindent();
diff --git a/specific/optimization/globalminimumsearch/sequentialscale.h b/specific/optimization/globalminimumsearch/sequential.h
similarity index 71%
rename from specific/optimization/globalminimumsearch/sequentialscale.h
rename to specific/optimization/globalminimumsearch/sequential.h
index 2c4b84ac3fb5f264a57c9e220a1fe26007beab53..184c3cc0c81bdcbedcb7c27b760c6261516dba7e 100644
--- a/specific/optimization/globalminimumsearch/sequentialscale.h
+++ b/specific/optimization/globalminimumsearch/sequential.h
@@ -1,5 +1,5 @@
-#ifndef H_SPECIFIC_OPTIMIZATION_GLOBALMINIMUMSEARCH_SEQUENTIALSCALE
-#define H_SPECIFIC_OPTIMIZATION_GLOBALMINIMUMSEARCH_SEQUENTIALSCALE
+#ifndef H_SPECIFIC_OPTIMIZATION_GLOBALMINIMUMSEARCH_SEQUENTIAL
+#define H_SPECIFIC_OPTIMIZATION_GLOBALMINIMUMSEARCH_SEQUENTIAL
//GmshFEM Library
#include "GmshFem.h"
@@ -8,7 +8,7 @@
//GmshFWI Library
#include "../../../common/optimization/globalminimumsearch.h"
-namespace sequentialscale
+namespace sequential
{
/*
* class GlobalMinimumSearchHistoryLine2
@@ -18,9 +18,11 @@ namespace sequentialscale
public:
const double performance;
const double relDecrease;
- const double scale;
+ const double sequential_parameter;
+ const double perf_obj;
+ const double perf_reg;
- GlobalMinimumSearchHistoryLine2(double performance_init, double relDecrease_init, double scale_init) : performance(performance_init), relDecrease(relDecrease_init), scale(scale_init) {};
+ GlobalMinimumSearchHistoryLine2(double performance_init, double relDecrease_init, double sequential_parameter_init, double perf_obj_init, double perf_reg_init) : performance(performance_init), relDecrease(relDecrease_init), sequential_parameter(sequential_parameter_init), perf_obj(perf_obj_init), perf_reg(perf_reg_init) {};
void write(gmshfem::common::CSVio& file, bool write_header=false) const;
};
@@ -32,10 +34,11 @@ namespace sequentialscale
{
public:
const bool success;
- const unsigned int nscale;
+ const std::string type;
+ const unsigned int nseq;
const std::vector<GlobalMinimumSearchHistoryLine2> history;
- GlobalMinimumSearchHistoryLine(bool success_init, unsigned int nscale_init, const std::vector<GlobalMinimumSearchHistoryLine2>& history_init) : success(success_init), nscale(nscale_init), history(history_init) {};
+ GlobalMinimumSearchHistoryLine(bool success_init, unsigned int nseq_init, const std::vector<GlobalMinimumSearchHistoryLine2>& history_init) : success(success_init), nseq(nseq_init), history(history_init) {};
void write(gmshfem::common::CSVio& file, bool write_header=false) const;
};
@@ -59,13 +62,12 @@ namespace sequentialscale
using GlobalMinimumSearchInterface<T_Physic>::_name;
using GlobalMinimumSearchInterface<T_Physic>::_config;
- unsigned int _n_scale;
- std::vector<double> _scale;
- unsigned int _minNscale;
- double _relDecreaseThreshold;
+ unsigned int _n_seq;
+ std::vector<double> _seq_parameters;
GlobalMinimumSearchHistory* const _history;
const gmshfem::common::GmshFem& _gmshFem;
+ std::string _type;
std::string _suffix;
public:
GlobalMinimumSearch(const std::string& name, const ConfigurationInterface* const config, const gmshfem::common::GmshFem& gmshFem, const std::string& suffix);
@@ -77,4 +79,4 @@ namespace sequentialscale
};
};
-#endif // H_SPECIFIC_OPTIMIZATION_GLOBALMINIMUMSEARCH_SEQUENTIALSCALE
+#endif // H_SPECIFIC_OPTIMIZATION_GLOBALMINIMUMSEARCH_SEQUENTIAL
diff --git a/specific/optimization/linesearch/wolfelike.cpp b/specific/optimization/linesearch/wolfelike.cpp
index 7455755c389add97cc74c19e3cbd5dcc3312700c..a1c40f4d621f02135f60752a58730a48e3eb5f37 100644
--- a/specific/optimization/linesearch/wolfelike.cpp
+++ b/specific/optimization/linesearch/wolfelike.cpp
@@ -216,7 +216,7 @@ namespace wolfelike
/*
* class LineSearch
*/
- LineSearch::LineSearch(const GmshFem& gmshFem, std::string suffix) : _a0(-1.), _history( new LineSearchHistory() )
+ LineSearch::LineSearch(const GmshFem& gmshFem, std::string suffix) : _a0(-1.), _maxIt(8), _history( new LineSearchHistory() )
{
if(!(
gmshFem.userDefinedParameter(_rho, "rho"+suffix) &&
@@ -227,6 +227,10 @@ namespace wolfelike
throw Exception("A goldstein linesearch parameter could not be found.");
}
gmshFem.userDefinedParameter(_a0, "a0"+suffix);
+ if(!gmshFem.userDefinedParameter(_maxIt, "linesearch_maxIteration"+suffix))
+ {
+ msg::warning << "A strongwolfe linesearch parameter (maxIteration) could not be found. Default value (8) is used." << msg::endl;
+ }
}
double LineSearch::operator()(FunctionalInterface* const functional) const
@@ -318,6 +322,16 @@ namespace wolfelike
a_1 = a;
a /= _rho;
+
+ if(i>=_maxIt)
+ {
+ msg::print << "Linsesearch failure" << msg::endl;
+ functional->setModel(m);
+ _history->emplace_back(j,j,0.,a0,0.,call-2);
+ msg::unindent();
+ msg::unindent();
+ return 0.;
+ }
}
msg::unindent();
@@ -365,6 +379,16 @@ namespace wolfelike
a_lo = a;
}
+
+ if(i>=_maxIt)
+ {
+ msg::print << "Linsesearch failure" << msg::endl;
+ functional->setModel(m);
+ _history->emplace_back(j,j,0.,a0,0.,call-2);
+ msg::unindent();
+ msg::unindent();
+ return 0.;
+ }
}
}
}
diff --git a/specific/optimization/linesearch/wolfelike.h b/specific/optimization/linesearch/wolfelike.h
index 9dd4dca27f0c885722530a3a3a613437192a4161..1574ecc71e106a69941d469e3308d73e6aba57f7 100644
--- a/specific/optimization/linesearch/wolfelike.h
+++ b/specific/optimization/linesearch/wolfelike.h
@@ -94,6 +94,7 @@ namespace wolfelike
double _c1;
double _c2;
double _a0;
+ unsigned int _maxIt;
LineSearchHistory* const _history;
public:
LineSearch(const gmshfem::common::GmshFem& gmshFem,std::string suffix = "");
diff --git a/specific/optimization/localminimumsearch/classic.cpp b/specific/optimization/localminimumsearch/classic.cpp
index 15b446f0e5e257893dba6febbdece415c09ce0f8..3c345564968a2a42a365d96ab1ad4540d6cf5404 100644
--- a/specific/optimization/localminimumsearch/classic.cpp
+++ b/specific/optimization/localminimumsearch/classic.cpp
@@ -1,6 +1,5 @@
//GmshFEM Library
#include "Exception.h"
-//#include "Function.h" // to be removed
//GmshFWI Library
#include "classic.h"
@@ -17,11 +16,11 @@ namespace classic
{
if(write_header)
{
- file << "Performance" << "Gradient norm squared" << "Relative decrease" << "Model update norm" << csv::endl;
+ file << "Performance" << "Gradient norm squared" << "Relative decrease" << "Model update penalization" << "Model penalization" << csv::endl;
}
else
{
- file << performance << gradientNorm2 << relDecrease << modelUpdateNorm << csv::endl;
+ file << performance << gradientNorm2 << relDecrease << modelUpdateNorm << modelNorm << csv::endl;
}
}
@@ -85,6 +84,7 @@ namespace classic
std::vector<LocalMinimumSearchHistoryLine2> historyline;
const ModelField m0(*m);
+ double m0mn = 0.;
double mmn = 0.;
double j0 = functional->performance();
@@ -104,13 +104,15 @@ namespace classic
msg::print << "performance = " << jn << msg::endl;
jjn = std::real( functional->innerproduct()->product(functional->gradient(),functional->gradient()) );
msg::print << "gradient norm 2 = " << jjn << msg::endl;
+ mmn = std::real(functional->innerproduct()->penalization(*m,*m));
+ msg::print << "model penalization = " << mmn << msg::endl;
if(n>0)
{
- mmn = std::real(functional->innerproduct()->product(*m-m0,*m-m0));
- msg::print << "model overall update norm = " << mmn << msg::endl;
+ m0mn = std::real(functional->innerproduct()->penalization(*m-m0,*m-m0));
+ msg::print << "model overall update penalization = " << m0mn << msg::endl;
rel_djn = 2. * (jn_1-jn) / (jn_1+jn);
msg::print << "relative decrease = " << rel_djn << msg::endl;
- historyline.emplace_back(jn,jjn,rel_djn,mmn);
+ historyline.emplace_back(jn,jjn,rel_djn,m0mn,mmn);
if(n>=_meanRelDecreaseMemory)
{
mean_rel_djn = 0.;
@@ -125,7 +127,7 @@ namespace classic
}
else
{
- historyline.emplace_back(jn,jjn,0.,mmn);
+ historyline.emplace_back(jn,jjn,0.,m0mn,mmn);
}
if(n >= _maxIteration || jn < _absDecreaseThreshold || jjn < _absGradient2NormThreshold){msg::unindent();break;}
@@ -137,7 +139,8 @@ namespace classic
jn_1=jn;
n++;
descentsearch->update(functional);
- if( (n % _writeInterval) == 0){m->write(_name+"m"+std::to_string(n));}
+ functional->iteration(n);
+ if((n % _writeInterval) == 0){m->write(_name+"m"+std::to_string(n));}
msg::unindent();
}
}
diff --git a/specific/optimization/localminimumsearch/classic.h b/specific/optimization/localminimumsearch/classic.h
index 3cbba5b25ac3a1b9192d434c7a2f3024fefc1b73..d284c49757099ccda9c6628f07c3a2046535c82b 100644
--- a/specific/optimization/localminimumsearch/classic.h
+++ b/specific/optimization/localminimumsearch/classic.h
@@ -20,8 +20,9 @@ namespace classic
const double gradientNorm2;
const double relDecrease;
const double modelUpdateNorm;
+ const double modelNorm;
- LocalMinimumSearchHistoryLine2(double performance_init, double gradientNorm2_init, double relDecrease_init, double modelUpdateNorm_init = 0.) : performance(performance_init), gradientNorm2(gradientNorm2_init), relDecrease(relDecrease_init), modelUpdateNorm(modelUpdateNorm_init) {};
+ LocalMinimumSearchHistoryLine2(double performance_init, double gradientNorm2_init, double relDecrease_init, double modelUpdateNorm_init = 0., double modelNorm_init = 0.) : performance(performance_init), gradientNorm2(gradientNorm2_init), relDecrease(relDecrease_init), modelUpdateNorm(modelUpdateNorm_init), modelNorm(modelNorm_init) {};
void write(gmshfem::common::CSVio& file, bool write_header=false) const;
};
diff --git a/specific/optimization/localminimumsearch/eisenstat.cpp b/specific/optimization/localminimumsearch/eisenstat.cpp
index 50a241259df4f5fa8bba279f10dd42dc5d4936b4..496ec90ece9b10347436f51ae0a8aa266ad239af 100644
--- a/specific/optimization/localminimumsearch/eisenstat.cpp
+++ b/specific/optimization/localminimumsearch/eisenstat.cpp
@@ -158,6 +158,7 @@ namespace eisenstat
jn_1=jn;
n++;
ncg_descentsearch->update(functional);
+ functional->iteration(n);
if( (n % _writeInterval) == 0){m->write(_name+"m"+std::to_string(n));}
msg::unindent();
}
diff --git a/specific/optimization/localminimumsearch/steihaug.cpp b/specific/optimization/localminimumsearch/steihaug.cpp
index 14608df963b6a76426a2e636932309af77b10065..8d770c13dbe07d6ef75ca3490665098420f59d1c 100644
--- a/specific/optimization/localminimumsearch/steihaug.cpp
+++ b/specific/optimization/localminimumsearch/steihaug.cpp
@@ -92,7 +92,7 @@ namespace steihaug
{
msg::print << "Search minimum (trust region)" << msg::endl;
msg::indent();
-
+
descentsearch->initialize(functional);
std::vector<LocalMinimumSearchHistoryLine2> historyline;
@@ -190,6 +190,7 @@ namespace steihaug
jn_1=jn;
n++;
+ functional->iteration(n);
if( (n % _writeInterval) == 0){m->write(_name+"m"+std::to_string(n));}
msg::unindent();
}
diff --git a/specific/optimization/localminimumsearch/yuanfan.cpp b/specific/optimization/localminimumsearch/yuanfan.cpp
index ec5b7290c71a51cce5958e20ab334bd97c2cf08b..0dd5469a34899dfabab8ad8b1197366a9d77aa55 100644
--- a/specific/optimization/localminimumsearch/yuanfan.cpp
+++ b/specific/optimization/localminimumsearch/yuanfan.cpp
@@ -16,11 +16,11 @@ namespace yuanfan
{
if(write_header)
{
- file << "Performance" << "Gradient norm squared" << "Relative decrease" << "Model update norm" << "Fraction of gradient limit (mu)" <<"Trust region radius" << "Actual/predicted decrease ratio (prospective)" << "Actual/predicted decrease ratio (retrospective)" << csv::endl;
+ file << "Performance" << "Gradient norm squared" << "Relative decrease" << "Model update penalization" << "Model penalization" << "Fraction of gradient limit (mu)" <<"Trust region radius" << "Actual/predicted decrease ratio (prospective)" << "Actual/predicted decrease ratio (retrospective)" << csv::endl;
}
else
{
- file << performance << gradientNorm2 << relDecrease << modelUpdateNorm << mu << radius << rho_pro << rho_rto << csv::endl;
+ file << performance << gradientNorm2 << relDecrease << modelUpdateNorm << modelNorm << mu << radius << rho_pro << rho_rto << csv::endl;
}
}
@@ -96,6 +96,11 @@ namespace yuanfan
throw Exception("A Yuan-Fan trust region parameter (c"+std::to_string(i)+") could not be found.");
}
}
+ c[5] = std::numeric_limits<double>::max();
+ if(!gmshFem.userDefinedParameter(c[5], "localminimum_c5"))
+ {
+ msg::warning << "A Yuan-Fan trust region parameter (c5) could not be found. No limit set (c5=infty)(default)." << msg::endl;
+ }
}
void LocalMinimumSearch::operator()(ModelField* const m, FunctionalInterface* const functional, const TrustRegionDescentSearchInterface* const descentsearch) const
@@ -117,6 +122,7 @@ namespace yuanfan
double rho_rto = 0.;
const ModelField m0(*m);
+ double m0mn = 0.;
double mmn = 0.;
double j0 = functional->performance();
@@ -140,13 +146,15 @@ namespace yuanfan
double radius = mu * std::sqrt(jjn);
msg::print << "mu = " << mu << msg::endl;
msg::print << "radius = " << radius << msg::endl;
+ mmn = std::real(functional->innerproduct()->penalization(*m,*m));
+ msg::print << "model penalization = " << mmn << msg::endl;
if(n>0)
{
- mmn = std::real(functional->innerproduct()->product(*m-m0,*m-m0));
- msg::print << "model overall update norm = " << mmn << msg::endl;
+ m0mn = std::real(functional->innerproduct()->penalization(*m-m0,*m-m0));
+ msg::print << "model overall update penalization = " << m0mn << msg::endl;
rel_djn = 2. * (jn_1-jn) / (jn_1+jn);
msg::print << "relative decrease = " << rel_djn << msg::endl;
- historyline.emplace_back(jn,jjn,rel_djn,mmn,mu,radius,rho_pro,rho_rto);
+ historyline.emplace_back(jn,jjn,rel_djn,m0mn,mmn,mu,radius,rho_pro,rho_rto);
if(n>=_meanRelDecreaseMemory)
{
mean_rel_djn = 0.;
@@ -161,7 +169,7 @@ namespace yuanfan
}
else
{
- historyline.emplace_back(jn,jjn,0.,mmn,mu,radius,0.,0.);
+ historyline.emplace_back(jn,jjn,0.,m0mn,mmn,mu,radius,0.,0.);
}
if(n >= _maxIteration || jn < _absDecreaseThreshold || jjn < _absGradient2NormThreshold){msg::unindent();break;}
@@ -221,7 +229,7 @@ namespace yuanfan
}
else
{
- if( (rho_radius>=c[2]) && (out.radius > radius/2.) )
+ if( (rho_radius>=c[2]) && (rho_radius<=c[5]) && (out.radius > radius/2.) )
{
msg::print << "out.radius = "<< out.radius << msg::endl;
mu = std::min(c[4] * mu,_maxMu);
@@ -231,6 +239,7 @@ namespace yuanfan
jn_1=jn;
n++;
+ functional->iteration(n);
if( (n % _writeInterval) == 0){m->write(_name+"m"+std::to_string(n));}
msg::unindent();
}
diff --git a/specific/optimization/localminimumsearch/yuanfan.h b/specific/optimization/localminimumsearch/yuanfan.h
index 89e772b8e94328b30ec6a18985bea2b1226b93e4..e3909bc63a22badc361ace787211c615867f2c3c 100644
--- a/specific/optimization/localminimumsearch/yuanfan.h
+++ b/specific/optimization/localminimumsearch/yuanfan.h
@@ -20,13 +20,14 @@ namespace yuanfan
const double gradientNorm2;
const double relDecrease;
const double modelUpdateNorm;
+ const double modelNorm;
const double mu;
const double radius;
const double rho_pro;
const double rho_rto;
- LocalMinimumSearchHistoryLine2(double performance_init, double gradientNorm2_init, double relDecrease_init, double modelUpdateNorm_init, double mu_init, double radius_init, double rho_pro_init, double rho_rto_init) : performance(performance_init), gradientNorm2(gradientNorm2_init), relDecrease(relDecrease_init), modelUpdateNorm(modelUpdateNorm_init), mu(mu_init), radius(radius_init), rho_pro(rho_pro_init), rho_rto(rho_rto_init) {};
+ LocalMinimumSearchHistoryLine2(double performance_init, double gradientNorm2_init, double relDecrease_init, double modelUpdateNorm_init, double modelNorm_init, double mu_init, double radius_init, double rho_pro_init, double rho_rto_init) : performance(performance_init), gradientNorm2(gradientNorm2_init), relDecrease(relDecrease_init), modelUpdateNorm(modelUpdateNorm_init), modelNorm(modelNorm_init), mu(mu_init), radius(radius_init), rho_pro(rho_pro_init), rho_rto(rho_rto_init) {};
void write(gmshfem::common::CSVio& file, bool write_header=false) const;
};
@@ -67,7 +68,7 @@ namespace yuanfan
bool _retrospective;
double _initMu;
double _maxMu;
- std::array<double,5> c;
+ std::array<double,6> c;
public:
LocalMinimumSearch(const gmshfem::common::GmshFem& gmshFem);
~LocalMinimumSearch() {delete _history;};
diff --git a/specific/wave/correlation.cpp b/specific/wave/correlation.cpp
index a15a693ce4bcb4de440f9d8e187f7364d0f4d07f..05dc7ac2b0a0eb0efbe8946b71be5fe3ba7607b5 100644
--- a/specific/wave/correlation.cpp
+++ b/specific/wave/correlation.cpp
@@ -34,7 +34,7 @@ namespace gmshfem
namespace function
{
/* acoustic */
- void Correlate<Physic::acoustic>::operator()(const WaveMultiField<Physic::acoustic> *fieldA, const WaveMultiField<Physic::acoustic> *fieldB, std::vector< typename MathObject< std::complex<double>, Degree::Degree0 >::Object > &values, const std::vector< scalar::Precision< std::complex<double> > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const
+ void Correlate<Physic::acoustic>::operator()(const WaveMultiField<Physic::acoustic> *fieldA, const WaveMultiField<Physic::acoustic> *fieldB, OutputVector< std::complex<double>, Degree::Degree0 > &values, const std::vector< scalar::Precision< std::complex<double> >, numa::allocator< scalar::Precision< std::complex<double> > > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const
{
const unsigned int nbrOfElements = points.size() / gaussPoints.size();
const unsigned int numThreads = omp::getNumThreads();
@@ -103,7 +103,7 @@ namespace gmshfem
}
/* electromagnetic */
- void Correlate<Physic::electromagnetic>::operator()(const WaveMultiField<Physic::electromagnetic> *fieldA, const WaveMultiField<Physic::electromagnetic> *fieldB, std::vector< typename MathObject< std::complex<double>, Degree::Degree0 >::Object > &values, const std::vector< scalar::Precision< std::complex<double> > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const
+ void Correlate<Physic::electromagnetic>::operator()(const WaveMultiField<Physic::electromagnetic> *fieldA, const WaveMultiField<Physic::electromagnetic> *fieldB, OutputVector< std::complex<double>, Degree::Degree0 > &values, const std::vector< scalar::Precision< std::complex<double> >, numa::allocator< scalar::Precision< std::complex<double> > > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const
{
const unsigned int nbrOfElements = points.size() / gaussPoints.size();
const unsigned int numThreads = omp::getNumThreads();
@@ -144,7 +144,7 @@ namespace gmshfem
scalar::move(_determinants, _gmshDeterminants);
}
- std::vector< typename MathObject< std::complex<double>, Degree::Degree1 >::Object > normal_values;
+ OutputVector< std::complex<double>, Degree::Degree1 > normal_values;
if(_trace!=CorrelationTrace::IDENTITY)
{
normal_values.resize(values.size());
@@ -246,7 +246,7 @@ namespace gmshfem
}
/* elastodynamic */
- void Correlate<Physic::elastodynamic>::operator()(const WaveMultiField<Physic::elastodynamic> *fieldA, const WaveMultiField<Physic::elastodynamic> *fieldB, std::vector< typename MathObject< std::complex<double>, Degree::Degree0 >::Object > &values, const std::vector< scalar::Precision< std::complex<double> > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const
+ void Correlate<Physic::elastodynamic>::operator()(const WaveMultiField<Physic::elastodynamic> *fieldA, const WaveMultiField<Physic::elastodynamic> *fieldB, OutputVector< std::complex<double>, Degree::Degree0 > &values, const std::vector< scalar::Precision< std::complex<double> >, numa::allocator< scalar::Precision< std::complex<double> > > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const
{
const unsigned int nbrOfElements = points.size() / gaussPoints.size();
const unsigned int numThreads = omp::getNumThreads();
@@ -287,7 +287,7 @@ namespace gmshfem
scalar::move(_determinants, _gmshDeterminants);
}
- std::vector< typename MathObject< std::complex<double>, Degree::Degree1 >::Object > normal_values;
+ OutputVector< std::complex<double>, Degree::Degree1 > normal_values;
if(_trace!=CorrelationTrace::IDENTITY)
{
normal_values.resize(values.size());
@@ -409,7 +409,7 @@ namespace gmshfem
namespace function
{
/* acoustic */
- void DerivativeCorrelate<Physic::acoustic>::operator()(const WaveMultiField<Physic::acoustic> *fieldA, const WaveMultiField<Physic::acoustic> *fieldB, std::vector< typename MathObject< std::complex<double>, Degree::Degree0 >::Object > &values, const std::vector< scalar::Precision< std::complex<double> > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const
+ void DerivativeCorrelate<Physic::acoustic>::operator()(const WaveMultiField<Physic::acoustic> *fieldA, const WaveMultiField<Physic::acoustic> *fieldB, OutputVector< std::complex<double>, Degree::Degree0 > &values, const std::vector< scalar::Precision< std::complex<double> >, numa::allocator< scalar::Precision< std::complex<double> > > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const
{
const unsigned int nbrOfElements = points.size() / gaussPoints.size();
const unsigned int numThreads = omp::getNumThreads();
@@ -485,7 +485,7 @@ namespace gmshfem
}
/* elastodynamic */
- void DerivativeCorrelate<Physic::elastodynamic>::operator()(const WaveMultiField<Physic::elastodynamic> *fieldA, const WaveMultiField<Physic::elastodynamic> *fieldB, std::vector< typename MathObject< std::complex<double>, Degree::Degree0 >::Object > &values, const std::vector< scalar::Precision< std::complex<double> > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const
+ void DerivativeCorrelate<Physic::elastodynamic>::operator()(const WaveMultiField<Physic::elastodynamic> *fieldA, const WaveMultiField<Physic::elastodynamic> *fieldB, OutputVector< std::complex<double>, Degree::Degree0 > &values, const std::vector< scalar::Precision< std::complex<double> >, numa::allocator< scalar::Precision< std::complex<double> > > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const
{
const unsigned int nbrOfElements = points.size() / gaussPoints.size();
const unsigned int numThreads = omp::getNumThreads();
diff --git a/specific/wave/correlation.h b/specific/wave/correlation.h
index a5893884ecabb41824aadd8182ff405ead85d572..f169ea34bddd749a48003919edbf12887f930ce1 100644
--- a/specific/wave/correlation.h
+++ b/specific/wave/correlation.h
@@ -56,7 +56,7 @@ namespace gmshfem
return "Correlate";
}
- virtual void operator()(const WaveMultiField<Physic::acoustic> *fieldA, const WaveMultiField<Physic::acoustic> *fieldB, std::vector< typename MathObject< std::complex<double>, Degree::Degree0 >::Object > &values, const std::vector< scalar::Precision< std::complex<double> > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const override;
+ virtual void operator()(const WaveMultiField<Physic::acoustic> *fieldA, const WaveMultiField<Physic::acoustic> *fieldB, OutputVector< std::complex<double>, Degree::Degree0 > &values, const std::vector< scalar::Precision< std::complex<double> >, numa::allocator< scalar::Precision< std::complex<double> > > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const override;
};
/* electromagnetic */
@@ -86,7 +86,7 @@ namespace gmshfem
return "Correlate "+trace_to_string(_trace);
}
- void operator()(const WaveMultiField<Physic::electromagnetic> *fieldA, const WaveMultiField<Physic::electromagnetic> *fieldB, std::vector< typename MathObject< std::complex<double>, Degree::Degree0 >::Object > &values, const std::vector< scalar::Precision< std::complex<double> > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const override;
+ void operator()(const WaveMultiField<Physic::electromagnetic> *fieldA, const WaveMultiField<Physic::electromagnetic> *fieldB, OutputVector< std::complex<double>, Degree::Degree0 > &values, const std::vector< scalar::Precision< std::complex<double> >, numa::allocator< scalar::Precision< std::complex<double> > > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const override;
};
/* elastodynamic */
@@ -119,7 +119,7 @@ namespace gmshfem
return "Correlate "+trace_to_string(_trace);
}
- void operator()(const WaveMultiField<Physic::elastodynamic> *fieldA, const WaveMultiField<Physic::elastodynamic> *fieldB, std::vector< typename MathObject< std::complex<double>, Degree::Degree0 >::Object > &values, const std::vector< scalar::Precision< std::complex<double> > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const override;
+ void operator()(const WaveMultiField<Physic::elastodynamic> *fieldA, const WaveMultiField<Physic::elastodynamic> *fieldB, OutputVector< std::complex<double>, Degree::Degree0 > &values, const std::vector< scalar::Precision< std::complex<double> >, numa::allocator< scalar::Precision< std::complex<double> > > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const override;
};
}
};
@@ -189,7 +189,7 @@ namespace gmshfem
return "Correlate "+trace_to_string(_trace);
}
- virtual void operator()(const WaveMultiField<Physic::acoustic> *fieldA, const WaveMultiField<Physic::acoustic> *fieldB, std::vector< typename MathObject< std::complex<double>, Degree::Degree0 >::Object > &values, const std::vector< scalar::Precision< std::complex<double> > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const override;
+ virtual void operator()(const WaveMultiField<Physic::acoustic> *fieldA, const WaveMultiField<Physic::acoustic> *fieldB, OutputVector< std::complex<double>, Degree::Degree0 > &values, const std::vector< scalar::Precision< std::complex<double> >, numa::allocator< scalar::Precision< std::complex<double> > > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const override;
};
/* elastodynamic */
@@ -222,7 +222,7 @@ namespace gmshfem
return "Correlate "+trace_to_string(_trace);
}
- virtual void operator()(const WaveMultiField<Physic::elastodynamic> *fieldA, const WaveMultiField<Physic::elastodynamic> *fieldB, std::vector< typename MathObject< std::complex<double>, Degree::Degree0 >::Object > &values, const std::vector< scalar::Precision< std::complex<double> > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const override;
+ virtual void operator()(const WaveMultiField<Physic::elastodynamic> *fieldA, const WaveMultiField<Physic::elastodynamic> *fieldB, OutputVector< std::complex<double>, Degree::Degree0 > &values, const std::vector< scalar::Precision< std::complex<double> >, numa::allocator< scalar::Precision< std::complex<double> > > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const override;
};
}
};
@@ -277,7 +277,7 @@ namespace gmshfem
return "Auto-correlate";
}
- void operator()(const WaveMultiField<T_Physic>* field, std::vector< typename MathObject< std::complex<double>, Degree::Degree0 >::Object > &values, const std::vector< scalar::Precision< std::complex<double> > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const override
+ void operator()(const WaveMultiField<T_Physic>* field, OutputVector< std::complex<double>, Degree::Degree0 > &values, const std::vector< scalar::Precision< std::complex<double> >, numa::allocator< scalar::Precision< std::complex<double> > > > &points, const std::vector< scalar::Precision< std::complex<double> > > &gaussPoints, const int elementType, const std::pair< int, int > &entity) const override
{
const unsigned int nbrOfElements = points.size() / gaussPoints.size();
const unsigned int numThreads = omp::getNumThreads();
diff --git a/specific/wave/discretization.h b/specific/wave/discretization.h
index 307e1b6fe218dc0336bb6a8403480e324f332701..93d6511e3e913b861d30db1123e8ad5148df072f 100644
--- a/specific/wave/discretization.h
+++ b/specific/wave/discretization.h
@@ -6,7 +6,7 @@
//GmshFEM library
#include "GmshFem.h"
-#include "FunctionSpaceForm0.h"
+#include "FunctionSpace.h"
#include "Message.h"
#include "FieldObject.h"
diff --git a/specific/wave/equation/simplewave.cpp b/specific/wave/equation/simplewave.cpp
index 816c465daf41dbbdd0a1ff6c9a81903a9f1d3425..499781c96d0d767370a5f4d323e75ba678e11e92 100644
--- a/specific/wave/equation/simplewave.cpp
+++ b/specific/wave/equation/simplewave.cpp
@@ -46,6 +46,13 @@ namespace simplewave
}
_gaussNewton = ((bool) gn);
+ unsigned int ri = 0;
+ if(!gmshFem.userDefinedParameter(ri, "equation_boundary_realImpedance"))
+ {
+ msg::warning << "Real boundary impedance flag could not be found. Complex boundary impedances are used (default)." << msg::endl;
+ }
+ _realImpedance = ((bool) ri);
+
unsigned int gp = 1;
if(!gmshFem.userDefinedParameter(gp, "equation_greenPreconditioner"))
{
@@ -60,6 +67,11 @@ namespace simplewave
throw Exception("Impossible to find constant preconditioner (equation)");
}
}
+
+ if(_realImpedance && _boundary)
+ {
+ throw Exception("Impossible to compute boundary terms with real impedance: sensitivities are wrong.");
+ }
}
bool Equation::modelIsObsolete()
@@ -94,14 +106,29 @@ namespace simplewave
{
_formulation.integral(-1.*grad(dof(_v)), grad(tf(_v)), _config->wave_omega(Support::BLK),integrationType(2*_w_degree));
_formulation.integral(_pulsation * _pulsation * m0 * dof(_v), tf(_v), _config->model_known(Support::BLK), integrationType(_integrationDegreeBlk));
- _formulation.integral(-1. * im * _pulsation * sqrt(m0) * dof(_v), tf(_v), _config->model_known(Support::BND), integrationType(_integrationDegreeBnd)); //-1 from sign conventions
+
+ if(_realImpedance)
+ {
+ _formulation.integral(-1. * im * _pulsation * sqrt(real(m0)) * dof(_v), tf(_v), _config->model_known(Support::BND), integrationType(_integrationDegreeBnd)); //-1 from sign conventions
+ }
+ else
+ {
+ _formulation.integral(-1. * im * _pulsation * sqrt(m0) * dof(_v), tf(_v), _config->model_known(Support::BND), integrationType(_integrationDegreeBnd)); //-1 from sign conventions
+ }
if(!_config->model_unknown(Support::BLK).isEmpty())
{
_formulation.integral(_pulsation * _pulsation * m * dof(_v), tf(_v), _config->model_unknown(Support::BLK), integrationType(_integrationDegreeBlk));
}
if(!_config->model_unknown(Support::BND).isEmpty())
{
- _formulation.integral(-1. * im * _pulsation * sqrt(m) * dof(_v), tf(_v), _config->model_unknown(Support::BND), integrationType(_integrationDegreeBnd)); //-1 from sign conventions
+ if(_realImpedance)
+ {
+ _formulation.integral(-1. * im * _pulsation * sqrt(real(m)) * dof(_v), tf(_v), _config->model_unknown(Support::BND), integrationType(_integrationDegreeBnd)); //-1 from sign conventions
+ }
+ else
+ {
+ _formulation.integral(-1. * im * _pulsation * sqrt(m) * dof(_v), tf(_v), _config->model_unknown(Support::BND), integrationType(_integrationDegreeBnd)); //-1 from sign conventions
+ }
}
}
void Equation::setRHS(Type type, unsigned int s, const DataStateEvaluator<Physic::acoustic>& d, const ModelStateEvaluator& ms, const WaveStateEvaluator<Physic::acoustic>& ws)
diff --git a/specific/wave/equation/simplewave.h b/specific/wave/equation/simplewave.h
index 0790338a21e7e3b878a485653950964f7ee9e634..0acee2dd67c44b19b7f41fa51d4fa0e51c731e78 100644
--- a/specific/wave/equation/simplewave.h
+++ b/specific/wave/equation/simplewave.h
@@ -18,6 +18,7 @@ namespace simplewave
double _pulsation;
bool _gaussNewton;
bool _greenPreconditioner;
+ bool _realImpedance;
double _const_preconditioner;
using EquationInterface<Physic::acoustic>::_boundary;
public:
diff --git a/time_synthetics_wave.cpp b/time_synthetics_wave.cpp
index b32cf16faed892a93269a9c40b7b08c1c0e6eb47..c4f095728ee697dd3c5923658e50548c6d6b389b 100644
--- a/time_synthetics_wave.cpp
+++ b/time_synthetics_wave.cpp
@@ -1,4 +1,4 @@
-//Standard library
+//Standard Library
#include <numeric>
//GmshFEM Library
@@ -25,7 +25,9 @@ using namespace gmshfem::algebra;
#include "specific/configuration/newConfiguration.h"
#include "specific/model/parametrization/newParametrization.h"
-#define m config->m0_natural(0.)[0]
+#define s2 config->m0_natural(1.)[0]
+#define eps real(config->m0_natural(1.)[0])
+#define sig imag(-config->m0_natural(1.)[0])
/*
* TimeExcitationInterface
@@ -108,8 +110,8 @@ int main(int argc, char **argv)
{
for (unsigned int c = 0; c < parametrization->size(); c++)
{
- save(config->m0(0.)[c], config->model_known(Support::BLK), name+"_m_blkc"+std::to_string(c), "pos", "");
- save(config->m0(0.)[c], config->model_known(Support::BND), name+"_m_bndc"+std::to_string(c), "pos", "");
+ save(config->m0()[c], config->model_known(Support::BLK), name+"_m_blkc"+std::to_string(c), "pos", "");
+ save(config->m0()[c], config->model_known(Support::BND), name+"_m_bndc"+std::to_string(c), "pos", "");
}
}
wave::Discretization<Physic::acoustic> w_discret(gmshFem);
@@ -152,12 +154,37 @@ int main(int argc, char **argv)
}
Formulation<std::complex<double>> formulation("time_wave");
- /* LHS */
- formulation.integral(m * dt2_dof(p), tf(p), config->model_known(Support::BLK), integrationType+std::to_string(integrationDegreeBlk));
- formulation.integral(grad(dof(p)), grad(tf(p)), config->wave_omega(Support::BLK),integrationType+std::to_string(2*w_degree));
+ if(
+ (dynamic_cast<const simplewave::ln_slowness2_real::Parametrization* const>(parametrization) != nullptr) ||
+ (dynamic_cast<const simplewave::slowness2_real::Parametrization* const>(parametrization) != nullptr)
+ )
+ {
+ /* LHS */
+ formulation.integral(s2 * dt2_dof(p), tf(p), config->model_known(Support::BLK), integrationType+std::to_string(integrationDegreeBlk));
+
+ formulation.integral(grad(dof(p)), grad(tf(p)), config->wave_omega(Support::BLK),integrationType+std::to_string(2*w_degree));
+
+ formulation.integral(sqrt(s2) * dt_dof(p), tf(p), config->model_known(Support::BND), integrationType+std::to_string(integrationDegreeBnd));
+ }
+ else if(
+ (dynamic_cast<const simplewave::ln_permcond_bireal::Parametrization* const>(parametrization) != nullptr) ||
+ (dynamic_cast<const simplewave::permcond_bireal::Parametrization* const>(parametrization) != nullptr)
+ )
+ {
+ /* LHS */
+ formulation.integral(eps * dt2_dof(p), tf(p), config->model_known(Support::BLK), integrationType+std::to_string(integrationDegreeBlk));
+
+ formulation.integral(sig * dt_dof(p), tf(p), config->model_known(Support::BLK), integrationType+std::to_string(integrationDegreeBlk));
- formulation.integral(sqrt(m) * dt_dof(p), tf(p), config->model_known(Support::BND), integrationType+std::to_string(integrationDegreeBnd));
+ formulation.integral(grad(dof(p)), grad(tf(p)), config->wave_omega(Support::BLK),integrationType+std::to_string(2*w_degree));
+
+ formulation.integral(sqrt(eps) * dt_dof(p), tf(p), config->model_known(Support::BND), integrationType+std::to_string(integrationDegreeBnd));
+ }
+ else
+ {
+ throw Exception("Time wave only implemented for slowness and permcond_bireal");
+ }
/* RHS */
formulation.integral(-1.,tf(p), config->emitter(0,0), integrationType+"0");
@@ -279,6 +306,12 @@ int main(int argc, char **argv)
{
data.value(n,s,r, integrate(p,config->receiver(s,r),"Gauss0"));
}
+ /*
+ if(n % 100 == 0)
+ {
+ save(p, config->model_known(Support::BLK), "p"+std::to_string(n), "pos", "");
+ }
+ */
}
VecZeroEntries(vRhs);
VecZeroEntries(vx_prev);
diff --git a/timewave.py b/timewave.py
new file mode 100644
index 0000000000000000000000000000000000000000..10ea54b131fff3249eda8da68880fd7655b7cb53
--- /dev/null
+++ b/timewave.py
@@ -0,0 +1,141 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Wed Oct 5 12:32:05 2022
+
+@author: xavier
+"""
+import numpy as np
+import matplotlib.pyplot as plt
+from matplotlib import rc
+rc('text.latex', preamble=r'\usepackage{amsmath} \usepackage{amssymb}')
+rc('font',**{'family':'serif','sans-serif':['Times New Roman'],'size':15})
+rc('text', usetex=True)
+#Value for 1 width figure
+H = 3.;
+W = 8.;
+
+"""
+# Marmousi
+path = "extended_marmousi_data/"
+prename = "timewave_synthetics_data"
+T=8.0
+Δt=0.004
+Nr=242
+Ns = 122
+
+snr = 2.**2
+noise_tag = "snr2"
+
+#source
+offset = 0.3
+fm = 6.
+
+prename2 = "paper2_extended_synthetics_data"
+Nf=3
+freqf = np.array([4.,6.,8.]) #[Hz]
+"""
+
+"""
+# Concrete 3
+path = "concrete3_data/"
+prename = "timewave_synthetics_data"
+T=0.2
+Δt=1e-4
+Nr=226
+Ns=227
+
+snr = 2.**(-3)
+noise_tag = "snrm3"
+
+#source
+offset = 0.0075
+fm = 150.
+
+prename2 = "paper2_concrete3_synthetics_data"
+Nf=9
+freqf = np.linspace(100,300,9) #[Hz]
+"""
+
+# Cross
+path = "cross_data/"
+prename = "cross_time_synthetics_data"
+T=100.
+Δt=1e-2
+Nr=119
+Ns=40
+amplitude = 0.01
+
+snr = 2.**(6)
+noise_tag = "snr6"
+
+#source
+offset = 3.75
+fm = 0.33
+
+prename2 = "cross_synthetics_data"
+Nf=7
+freqf = np.array( [ 0.17, 0.2, 0.23, 0.27, 0.33, 0.5, 0.67 ] ) # [Hz] ?
+
+#
+# Load
+#
+N=np.int(T/Δt)
+time = np.arange(0,N,1)*Δt #[s]
+freq = np.fft.rfftfreq(time.shape[-1],d=Δt) #[Hz]
+data = np.zeros([Ns,Nr,N]);
+
+for n in range(0,N):
+ tmp = np.loadtxt(path+prename+"f"+str(n)+".csv",delimiter=";");
+ data[:,:,n] = tmp[0:Ns,0:2*Nr:2]
+signal_nrm = np.linalg.norm(np.linalg.norm(data,axis=2))**2 / Ns / Nr * Δt
+
+#
+# Noise
+#
+B=2.5*fm
+σ = np.sqrt(signal_nrm/(2*B*Δt*T*snr))
+white_noise = np.random.normal(0.0,σ,[Ns,Nr,N])
+
+freq_noise = np.zeros([Ns,Nr,np.int(N/2)+1])*1j;
+noise = np.zeros([Ns,Nr,N])
+freq_cut_idx = np.int(np.ceil(B*T))
+for s in range(0,Ns):
+ for r in range(0,Nr):
+ freq_noise[s,r,0:(freq_cut_idx+1)] = np.fft.rfft(white_noise[s,r,:])[0:(freq_cut_idx+1)]
+ noise[s,r,:] = np.fft.irfft(freq_noise[s,r,:])
+noise_nrm = np.linalg.norm(np.linalg.norm(noise,axis=2))**2 / Ns / Nr * Δt
+
+noisy_data = data + noise
+
+for n in range(0,N):
+ np.savetxt(path+prename+"_"+noise_tag+"f"+str(n)+".csv",(noisy_data[:,:,n]+0j).view(float),delimiter=";",fmt='%.18e');
+
+#
+# Fourier transform
+#
+freq = np.fft.rfftfreq(time.shape[-1],d=Δt) #[Hz]
+
+excitation = 2. / np.sqrt(np.pi) * freq**2 / fm**3 * np.exp(-freq**2/fm**2) * np.exp(-2j * np.pi * freq * offset)
+
+freq_noisy_data = np.zeros([Ns,Nr,np.int(N/2)+1])*1j;
+freq_data = np.zeros([Ns,Nr,np.int(N/2)+1])*1j;
+for s in range(0,Ns):
+ for r in range(0,Nr):
+ freq_noisy_data[s,r,:] = np.fft.rfft(noisy_data[s,r,:]) * Δt
+ freq_data[s,r,:] = np.fft.rfft(data[s,r,:]) * Δt
+
+#
+# Frequency domain
+#
+freq_dataf = np.zeros([Ns,Nr,Nf])*1j;
+
+for f in range(0,Nf):
+ tmp = np.loadtxt(path+prename2+str(f)+".csv",delimiter=";");
+ freq_dataf[:,:,f] = tmp[0:Ns,0:2*Nr:2] + tmp[0:Ns,1:2*Nr:2]*1j
+
+
+#write
+for f in range(0,np.size(freqf)):
+ idx = np.where(freq == freqf[f])[0][0]
+ np.savetxt(path+prename2+"_"+noise_tag+"f"+str(f)+".csv",freq_noisy_data[:,:,idx]/excitation[idx],fmt=['%.18e;%.18e']*Nr, delimiter=";");