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sliced_wasserstein.cpp
/* This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
* See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
* Author(s): Mathieu Carriere
*
* Copyright (C) 2018 INRIA (France)
*
* Modification(s):
* - YYYY/MM Author: Description of the modification
*/
#include <gudhi/Sliced_Wasserstein.h>
#include <iostream>
#include <vector>
#include <utility>
using Persistence_diagram = Gudhi::Persistence_representations::Persistence_diagram;
using SW = Gudhi::Persistence_representations::Sliced_Wasserstein;
int main(int argc, char** argv) {
Persistence_diagram persistence1, persistence2;
persistence1.push_back(std::make_pair(1, 2));
persistence1.push_back(std::make_pair(6, 8));
persistence1.push_back(std::make_pair(0, 4));
persistence1.push_back(std::make_pair(3, 8));
persistence2.push_back(std::make_pair(2, 9));
persistence2.push_back(std::make_pair(1, 6));
persistence2.push_back(std::make_pair(3, 5));
persistence2.push_back(std::make_pair(6, 10));
SW sw1(persistence1, 1, 100);
SW sw2(persistence2, 1, 100);
SW swex1(persistence1, 1, -1);
SW swex2(persistence2, 1, -1);
std::clog << "Approx SW kernel: " << sw1.compute_scalar_product(sw2) << std::endl;
std::clog << "Exact SW kernel: " << swex1.compute_scalar_product(swex2) << std::endl;
std::clog << "Distance induced by approx SW kernel: " << sw1.distance(sw2) << std::endl;
std::clog << "Distance induced by exact SW kernel: " << swex1.distance(swex2) << std::endl;
return 0;
}
Gudhi::Persistence_representations::Sliced_Wasserstein
A class implementing the Sliced Wasserstein kernel.
Definition Sliced_Wasserstein.h:62
Gudhi::Persistence_representations::Sliced_Wasserstein::compute_scalar_product
double compute_scalar_product(const Sliced_Wasserstein &second) const
Evaluation of the kernel on a pair of diagrams.
Definition Sliced_Wasserstein.h:356
Gudhi::Persistence_representations::Sliced_Wasserstein::distance
double distance(const Sliced_Wasserstein &second) const
Evaluation of the distance between images of diagrams in the Hilbert space of the kernel.
Definition Sliced_Wasserstein.h:369