dense_decomposition_dlin.h File Reference

Delinearisation of dense tensors. More...

#include "inc/util/output.h"
#include "inc/util/macros.h"
#include "inc/dense/dense.h"
#include "inc/dense/dense_qr.h"
#include "inc/dense/dense_decomposition_depara.h"
#include "inc/dense/dense_convenience.h"
#include "inc/dense/dense_make.h"

Include dependency graph for dense_decomposition_dlin.h:

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Namespaces
namespace	syten
	Syten namespace.
namespace	syten::Delinearise
	Delinearisation decomposition.

Macros
#define	SYTEN_DELINEARISE_THRESHOLD   (1e-12)
	Threshold for delinearisation. More...

Functions
template<typename Scalar >
std::vector< std::pair< Index, int > >	syten::Delinearise::calculate_scores (std::vector< DenseTensor< 1, Scalar > > const &columns, std::vector< DenseTensor< 1, Scalar > > const &thresh)
	Calculates the zeroness score of all columns comparing against all others. More...
template<typename Scalar >
void	syten::Delinearise::cols (DenseTensor< 2, Scalar > const &a, DenseTensor< 2, Scalar > &p, DenseTensor< 2, Scalar > &t, DenseTensor< 2, typename ScalarBase< Scalar >::type > const &thresholds_in=DenseTensor< 2, typename ScalarBase< Scalar >::type >(), bool const relax_if_necessary=false)
	Calculates \( p \), \( t \) s.t. \( p·t = a \) and \( p \) has as few columns as possible. More...
template<typename Scalar >
DenseTensor< 2, typename ScalarBase< Scalar >::type >	syten::Delinearise::cols_only (DenseTensor< 2, Scalar > const &a, DenseTensor< 2, Scalar > &p, DenseTensor< 2, Scalar > &t, DenseTensor< 2, typename ScalarBase< Scalar >::type > const &thresholds)
	De-linearises the columns of a matrix based on the provided thresholds. More...
template<typename Scalar >
bool	syten::Delinearise::compare_residual (DenseTensor< 1, Scalar > const &original, DenseTensor< 1, Scalar > const &calculated, DenseTensor< 1, Scalar > const &threshold, SRDef factor)
	Returns true if original[i] ~ calculated[i] to within threshold[i] * factor. More...
template<typename Scalar >
std::vector< Index >	syten::Delinearise::count_all_zeros (std::vector< DenseTensor< 1, Scalar > > const &vec)
	Counts the number of exactly-zero entries of each element of vec. More...
template<typename Scalar >
std::vector< Index >	syten::Delinearise::count_bottom_zeros (std::vector< DenseTensor< 1, Scalar > > const &vec)
	Counts the number of zeros from the bottom in each entry of vec. More...
template<typename Scalar >
DenseTensor< 2, Scalar >	syten::Delinearise::permute (std::vector< DenseTensor< 1, Scalar > > &columns, std::vector< DenseTensor< 1, Scalar > > &thresh)
	Permutes columns in columns and thresh such that the columns with maximal zeroness score are in the front. More...
template<typename Scalar >
void	syten::Delinearise::postprocess_coefficient (Scalar &c, Index num_entries)
	Shifts coefficients to 0, 1 and -1. More...
template<typename Scalar >
void	syten::Delinearise::rows (DenseTensor< 2, Scalar > const &a, DenseTensor< 2, Scalar > &t, DenseTensor< 2, Scalar > &p, DenseTensor< 2, typename ScalarBase< Scalar >::type > const &thresholds=DenseTensor< 2, typename ScalarBase< Scalar >::type >(), bool const relax_if_necessary=false)
	Calculates \( p \), \( t \) s.t. \( t·p = a \) and \( p \) has as few rows as possible. More...

Detailed Description

Delinearisation of dense tensors.