From 5708c93251625133598739f42ed106aac83bf18a Mon Sep 17 00:00:00 2001 From: mcarrier Date: Fri, 29 Dec 2017 23:39:32 +0000 Subject: git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/kernels@3107 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: d0f6606d7afde132a4d86203eeff80e97f35adce --- src/Kernels/doc/Intro_kernels.h | 61 +++++++++++++++++++++++++++++++++++++++++ 1 file changed, 61 insertions(+) create mode 100644 src/Kernels/doc/Intro_kernels.h (limited to 'src/Kernels/doc/Intro_kernels.h') diff --git a/src/Kernels/doc/Intro_kernels.h b/src/Kernels/doc/Intro_kernels.h new file mode 100644 index 00000000..be97a6cf --- /dev/null +++ b/src/Kernels/doc/Intro_kernels.h @@ -0,0 +1,61 @@ +/* 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_ -- cgit v1.2.3