#include <gudhi/Sliced_Wasserstein.h>
#include <iostream>
#include <vector>
#include <utility>
using Persistence_diagram = Gudhi::Persistence_representations::Persistence_diagram;
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 <<
"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;
}
A class implementing the Sliced Wasserstein kernel.
Definition: Sliced_Wasserstein.h:62
double compute_scalar_product(const Sliced_Wasserstein &second) const
Evaluation of the kernel on a pair of diagrams.
Definition: Sliced_Wasserstein.h:356
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