001/** 002 * Copyright (c) 2011, The University of Southampton and the individual contributors. 003 * All rights reserved. 004 * 005 * Redistribution and use in source and binary forms, with or without modification, 006 * are permitted provided that the following conditions are met: 007 * 008 * * Redistributions of source code must retain the above copyright notice, 009 * this list of conditions and the following disclaimer. 010 * 011 * * Redistributions in binary form must reproduce the above copyright notice, 012 * this list of conditions and the following disclaimer in the documentation 013 * and/or other materials provided with the distribution. 014 * 015 * * Neither the name of the University of Southampton nor the names of its 016 * contributors may be used to endorse or promote products derived from this 017 * software without specific prior written permission. 018 * 019 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND 020 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED 021 * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE 022 * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR 023 * ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES 024 * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 025 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON 026 * ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT 027 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 028 * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 029 */ 030package org.openimaj.ml.linear.learner.loss; 031 032import gov.sandia.cognition.math.matrix.Matrix; 033import gov.sandia.cognition.math.matrix.Vector; 034 035/** 036 * With a held Y and X, return gradient and evaluations of 037 * a loss function of some parameters s.t. 038 * 039 * J(W) = F(Y,X,W) 040 * 041 * @author Sina Samangooei (ss@ecs.soton.ac.uk) 042 * 043 */ 044public abstract class LossFunction { 045 protected Matrix X; 046 protected Matrix Y; 047 protected Matrix bias; 048 public void setX(Matrix X){ 049 this.X = X; 050 } 051 public void setY(Matrix Y){ 052 this.Y = Y; 053 } 054 public abstract Matrix gradient(Matrix W); 055 public abstract double eval(Matrix W); 056 public void setBias(Matrix bias) { 057 this.bias = bias; 058 } 059 public abstract boolean isMatrixLoss() ; 060 061 public boolean test_backtrack(Matrix W, Matrix grad, Matrix prox, double eta){ 062 Matrix tmp = prox.clone(); 063 tmp.minusEquals(W); 064 Vector tmpvec = tmp.getColumn(0); 065 return ( 066 eval(prox) <= eval(W) + grad.getColumn(0).dotProduct(tmpvec) + 0.5*eta*tmpvec.norm2()); 067 068 } 069}