Gudhi::Persistence_representations::PSSK Class Reference

Additional Inherited Members

- Public Member Functions inherited from Gudhi::Persistence_representations::Persistence_heat_maps< constant_scaling_function >
 Persistence_heat_maps ()
 
 Persistence_heat_maps (const std::vector< std::pair< double, double > > &interval, std::vector< std::vector< double > > filter=create_Gaussian_filter(5, 1), bool erase_below_diagonal=false, size_t number_of_pixels=1000, double min_=std::numeric_limits< double >::max(), double max_=std::numeric_limits< double >::max())
 
 Persistence_heat_maps (const char *filename, std::vector< std::vector< double > > filter=create_Gaussian_filter(5, 1), bool erase_below_diagonal=false, size_t number_of_pixels=1000, double min_=std::numeric_limits< double >::max(), double max_=std::numeric_limits< double >::max(), unsigned dimension=std::numeric_limits< unsigned >::max())
 
 Persistence_heat_maps (const std::vector< std::pair< double, double > > &interval, const std::function< double(std::pair< double, double >, std::pair< double, double >)> &kernel, size_t number_of_x_pixels, size_t number_of_y_pixels, double min_x=0, double max_x=1, double min_y=0, double max_y=1)
 
 Persistence_heat_maps (const std::vector< std::pair< double, double > > &interval, const std::function< double(std::pair< double, double >, std::pair< double, double >)> &kernel)
 
void compute_mean (const std::vector< Persistence_heat_maps * > &maps)
 
void compute_median (const std::vector< Persistence_heat_maps * > &maps)
 
void compute_percentage_of_active (const std::vector< Persistence_heat_maps * > &maps, size_t cutoff=1)
 
void print_to_file (const char *filename) const
 
void load_from_file (const char *filename)
 
bool check_if_the_same (const Persistence_heat_maps &second) const
 
double get_min () const
 
double get_max () const
 
bool operator== (const Persistence_heat_maps &rhs) const
 
bool operator!= (const Persistence_heat_maps &rhs) const
 
void plot (const char *filename) const
 
Persistence_heat_maps multiply_by_scalar (double scalar) const
 
Persistence_heat_maps operator* (double scalar)
 
Persistence_heat_maps operator+= (const Persistence_heat_maps &rhs)
 
Persistence_heat_maps operator-= (const Persistence_heat_maps &rhs)
 
Persistence_heat_maps operator*= (double x)
 
Persistence_heat_maps operator/= (double x)
 
std::vector< double > vectorize (int number_of_function) const
 
size_t number_of_vectorize_functions () const
 
double project_to_R (int number_of_function) const
 
size_t number_of_projections_to_R () const
 
double distance (const Persistence_heat_maps &second_, double power=1) const
 
void compute_average (const std::vector< Persistence_heat_maps * > &to_average)
 
double compute_scalar_product (const Persistence_heat_maps &second_) const
 
std::pair< double, double > get_x_range () const
 
std::pair< double, double > get_y_range () const
 

Detailed Description

This is a version of a representation presented in https://arxiv.org/abs/1412.6821 In that paper the authors are using the representation just to compute kernel. Over here, we extend the usability by far. Note that the version presented here is not exact, since we are discretizing the kernel. The only difference with respect to the original class is the method of creation. We have full (square) image, and for every point (p,q), we add a kernel at (p,q) and the negative kernel at (q,p)

Examples:
Persistence_representations/persistence_heat_maps/create_pssk.cpp.

The documentation for this class was generated from the following file:
GUDHI  Version 3.3.0  - C++ library for Topological Data Analysis (TDA) and Higher Dimensional Geometry Understanding.  - Copyright : MIT Generated on Tue Aug 11 2020 11:09:13 for GUDHI by Doxygen 1.8.13