//=========================================================================== /*! * * * \brief Weighted sum of base kernels, each acting on a subset of features only. * * * * \author M. Tuma, O.Krause * \date 2012 * * * \par Copyright 1995-2017 Shark Development Team * *

* This file is part of Shark. * * * Shark is free software: you can redistribute it and/or modify * it under the terms of the GNU Lesser General Public License as published * by the Free Software Foundation, either version 3 of the License, or * (at your option) any later version. * * Shark 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 Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public License * along with Shark. If not, see . * */ //=========================================================================== #ifndef SHARK_MODELS_KERNELS_MKL_KERNEL_H #define SHARK_MODELS_KERNELS_MKL_KERNEL_H #include #include "Impl/MklKernelBase.h" namespace shark { /// \brief Weighted sum of kernel functions /// /// For a set of positive definite kernels \f$ k_1, \dots, k_n \f$ /// with positive coeffitients \f$ w_1, \dots, w_n \f$ the sum /// \f[ \tilde k(x_1, x_2) := \sum_{i=1}^{n} w_i \cdot k_i(x_1, x_2) \f] /// is again a positive definite kernel function. This still holds when /// the sub-kernels only operate of a subset of features, that is, when /// we have a direct sum kernel ( see e.g. the UCSC Technical Report UCSC-CRL-99-10: /// Convolution Kernels on Discrete Structures by David Haussler ). /// /// This class is very similar to the #WeightedSumKernel , except that it assumes /// its inputs to be tuples of values \f$ x=(x_1,\dots, x_n) \f$. It calculates /// the direct sum of kernels /// \f[ \tilde k(x, y) := \sum_{i=1}^{n} w_i \cdot k_i(x_i, y_i) \f] /// /// Internally, the weights are represented as \f$ w_i = \exp(\xi_i) \f$ /// to allow for unconstrained optimization. /// /// The result of the kernel evaluation is devided by the sum of the /// kernel weights, so that in total, this amounts to fixing the sum /// of the of the weights to one. /// /// In the current implementation, we expect the InputType to be a /// boost::fusion::vector. For example, boost::fusion::vector /// represents a tuple of two vectors. /// template class MklKernel : private detail::MklKernelBase//order is important! , public WeightedSumKernel { private: typedef detail::MklKernelBase base_type1; typedef WeightedSumKernel base_type2; public: template MklKernel(KernelTuple const& kernels):base_type1(kernels),base_type2(base_type1::makeKernelVector()){} /// \brief From INameable: return the class name. std::string name() const { return "MklKernel"; } }; } #endif