KLLowerTriangularInferenceMethod.h

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/*
 * Copyright (c) The Shogun Machine Learning Toolbox
 * Written (w) 2014 Wu Lin
 * All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are met:
 *
 * 1. Redistributions of source code must retain the above copyright notice, this
 *    list of conditions and the following disclaimer.
 * 2. Redistributions in binary form must reproduce the above copyright notice,
 *    this list of conditions and the following disclaimer in the documentation
 *    and/or other materials provided with the distribution.
 *
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
 * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
 * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
 * ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
 * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
 * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
 * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 *
 * The views and conclusions contained in the software and documentation are those
 * of the authors and should not be interpreted as representing official policies,
 * either expressed or implied, of the Shogun Development Team.
 *
 * Code adapted from
 * http://hannes.nickisch.org/code/approxXX.tar.gz
 * and Gaussian Process Machine Learning Toolbox
 * http://www.gaussianprocess.org/gpml/code/matlab/doc/
 * and the reference paper is
 * Challis, Edward, and David Barber.
 * "Concave Gaussian variational approximations for inference in large-scale Bayesian linear models."
 * International conference on Artificial Intelligence and Statistics. 2011.
 *
 */

#ifndef _KLLOWERTRIANGULARINFERENCEMETHOD_H_
#define _KLLOWERTRIANGULARINFERENCEMETHOD_H_

#include <shogun/lib/config.h>

#ifdef HAVE_EIGEN3
#include <shogun/machine/gp/KLInferenceMethod.h>

namespace shogun
{

class CKLLowerTriangularInferenceMethod: public CKLInferenceMethod
{
public:
    CKLLowerTriangularInferenceMethod();

    CKLLowerTriangularInferenceMethod(CKernel* kernel, CFeatures* features,
            CMeanFunction* mean, CLabels* labels, CLikelihoodModel* model);

    virtual ~CKLLowerTriangularInferenceMethod();

    virtual const char* get_name() const { return "KLLowerTriangularInferenceMethod"; }

    virtual SGVector<float64_t> get_diagonal_vector();

protected:
    virtual void update_chol();

    virtual void update_deriv();

    virtual float64_t get_derivative_related_cov(SGMatrix<float64_t> dK);

    virtual void update_approx_cov();

    SGMatrix<float64_t> m_InvK_Sigma;

    SGVector<float64_t> m_mean_vec;

    float64_t m_log_det_Kernel;

    SGMatrix<float64_t> m_Kernel_LsD;

    SGVector<index_t> m_Kernel_P;

    Eigen::MatrixXd solve_inverse(Eigen::MatrixXd A);

    virtual void update_init();

    virtual void update_Sigma()=0;

    virtual void update_InvK_Sigma()=0;

private:
    void init();

};
}
#endif /* HAVE_EIGEN3 */
#endif /* _KLLOWERTRIANGULARINFERENCEMETHOD_H_ */