/* This file is part of the Gudhi Library. The Gudhi library * (Geometric Understanding in Higher Dimensions) is a generic C++ * library for computational topology. * * Author(s): Mathieu Carriere * * Copyright (C) 2017 INRIA * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation, either version 3 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program. If not, see . */ #ifndef DOC_KERNEL_INTRO_KERNEL_H_ #define DOC_KERNEL_INTRO_KERNEL_H_ namespace Gudhi { namespace kernel { /** \defgroup kernel Kernels * * \author Mathieu Carrière * * @{ * * Kernels are generalized scalar products. They take the form of functions whose evaluations on pairs of persistence diagrams are equal * to the scalar products of the images of the diagrams under some feature map into a (generally unknown and infinite dimensional) * Hilbert space. Kernels are * very useful to handle any type of data for algorithms that require at least a Hilbert structure, such as Principal Component Analysis * or Support Vector Machines. In this package, we implement three kernels for persistence diagrams: the Persistence Scale Space kernel, * the Persistence Weighted Gaussian kernel and the Sliced Wasserstein kernel. * * * When launching: * * \code $> ./BasicEx * \endcode * * the program output is: * * * \copyright GNU General Public License v3. * \verbatim Contact: gudhi-users@lists.gforge.inria.fr \endverbatim */ /** @} */ // end defgroup kernel } // namespace kernel } // namespace Gudhi #endif // DOC_KERNEL_INTRO_KERNEL_H_