Gudhi::Persistence_representations::Persistence_intervals_with_distances Class Reference

This class implements the following concepts: Vectorized_topological_data, Topological_data_with_distances, Real_valued_topological_data. More...

#include <gudhi/Persistence_intervals_with_distances.h>

Public Member Functions
double	distance (const Persistence_intervals_with_distances &second, double power=std::numeric_limits< double >::max(), double tolerance=(std::numeric_limits< double >::min)()) const
	Computes the distance to the persistence diagram given as a parameter.
	Persistence_intervals (const char *filename, unsigned int dimension=std::numeric_limits< unsigned int >::max())
	Constructor from a text file.
	Persistence_intervals (const std::vector< std::pair< double, double > > &intervals)
	Constructor from a vector of pairs.
Public Member Functions inherited from Gudhi::Persistence_representations::Persistence_intervals
	Persistence_intervals (const char *filename, unsigned int dimension=std::numeric_limits< unsigned int >::max())
	Constructor from a text file.
	Persistence_intervals (const std::vector< std::pair< double, double > > &intervals)
	Constructor from a vector of pairs.
std::pair< double, double >	get_x_range () const
std::pair< double, double >	get_y_range () const
std::vector< double >	length_of_dominant_intervals (std::size_t where_to_cut=100) const
std::vector< std::pair< double, double > >	dominant_intervals (std::size_t where_to_cut=100) const
std::vector< std::size_t >	histogram_of_lengths (std::size_t number_of_bins=10) const
std::vector< std::size_t >	cumulative_histogram_of_lengths (std::size_t number_of_bins=10) const
std::vector< double >	characteristic_function_of_diagram (double x_min, double x_max, std::size_t number_of_bins=10) const
std::vector< double >	cumulative_characteristic_function_of_diagram (double x_min, double x_max, std::size_t number_of_bins=10) const
std::vector< std::pair< double, std::size_t > >	compute_persistent_betti_numbers () const
std::vector< double >	k_n_n (std::size_t k, std::size_t where_to_cut=10) const
void	plot (const char *filename, double min_x=std::numeric_limits< double >::max(), double max_x=std::numeric_limits< double >::max(), double min_y=std::numeric_limits< double >::max(), double max_y=std::numeric_limits< double >::max()) const
std::size_t	size () const
const std::pair< double, double > &	operator[] (std::size_t i) const
double	project_to_R (int number_of_function) const
std::size_t	number_of_projections_to_R () const
std::vector< double >	vectorize (int number_of_function) const
std::size_t	number_of_vectorize_functions () const

Detailed Description

This class implements the following concepts: Vectorized_topological_data, Topological_data_with_distances, Real_valued_topological_data.

Examples

persistence_intervals/compute_bottleneck_distance.cpp.

Member Function Documentation

distance()

double Gudhi::Persistence_representations::Persistence_intervals_with_distances::distance ( const Persistence_intervals_with_distances & second, double power = std::numeric_limits<double>::max(), double tolerance = (std::numeric_limits<double>::min)() ) const

inline

Computes the distance to the persistence diagram given as a parameter.

Parameters

second	Diagram to which to compute the distance.
power	It is here in case we would like to compute \( power^{th} \) Wasserstein distance. At the moment, this method only implement Bottleneck distance, which is infinity Wasserstein distance. Therefore any power which is not the default std::numeric_limits<double>::max() will be ignored and an exception will be thrown.
tolerance	It is the additive error of the approximation, set by default to zero.

Persistence_intervals() [1/2]

Gudhi::Persistence_representations::Persistence_intervals::Persistence_intervals ( const char * filename, unsigned int dimension = std::numeric_limits<unsigned int>::max() )

inline

Constructor from a text file.

Parameters

filename	Each line of the input file is supposed to contain two numbers of a type double (or convertible to double) representing the birth and the death of the persistence interval. If the pairs are not sorted so that birth <= death, then the constructor will sort then that way. It is possible to have a third value at the begining of a line which represent the dimension of the interval.
dimension	If anything other than std::numeric_limits<unsigned int>::max(), only the intervals in this given dimension are token into account if the dimension is given in the file lines. Ignored otherwise. Default value: std::numeric_limits<double>::max().

Persistence_intervals() [2/2]

Gudhi::Persistence_representations::Persistence_intervals::Persistence_intervals ( const std::vector< std::pair< double, double > > & intervals )

inline

Constructor from a vector of pairs.

Parameters

intervals

Each pair in the vector is assumed to represent a persistence interval \( (b, d) \), such that \( b \leq d \).

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The documentation for this class was generated from the following file:

• include/gudhi/Persistence_intervals_with_distances.h