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authormcarrier <mcarrier@636b058d-ea47-450e-bf9e-a15bfbe3eedb>2017-12-29 23:39:32 +0000
committermcarrier <mcarrier@636b058d-ea47-450e-bf9e-a15bfbe3eedb>2017-12-29 23:39:32 +0000
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tree23e738991e028f2a918a2b4bd7600b1e40d4a90b /src/Kernels/doc/Intro_kernels.h
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/kernels@3107 636b058d-ea47-450e-bf9e-a15bfbe3eedb
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+/* 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 <http://www.gnu.org/licenses/>.
+ */
+
+#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_