?? kernel.m
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function K = kernel(varargin)% KERNEL Evaluates kernel function.%% Synopsis:% K = kernel(X,ker,arg)% K = kernel(X1,X2,ker,arg)%% Description:% K = kernel( X, ker, arg ) returns kernel matrix K [n x n] %% K(i,j) = k(X(:,i),X(:,j)) for all i=1..n, j=1..n,%% where k: a x b -> R is a kernel function given by % identifier ker and argument arg:% % Identifier Name Definition% 'linear' ... linear kernel k(a,b) = a'*b% 'poly' ... polynomial k(a,b) = (a'*b+arg[2])^arg[1]% 'rbf' ... RBF (Gaussian) k(a,b) = exp(-0.5*||a-b||^2/arg[1]^2)% 'sigmoid' ... Sigmoidal k(a,b) = tanh(arg[1]*(a'*b)+arg[2])%% K = kernel( X1, X2, ker, arg ) returns kernel matrix K [n1 x n2]% % K(i,j) = k(X1(:,i),X2(:,j)) for all i=1..n1, j=1..n2,%% Input:% X [dim x n] Single matrix of input vectors.% X1 [dim x n1], X2 [dim x n2] Pair of input matrices.% ker [string] Kernel identifier.% arg [1 x narg] Kernel argument.%% Output:% K [n1 x n1] or K [n1 x n2] Kernel matrix.% % Example:% X = rand(2,50);% K = kernel( X, 'rbf', 1);% figure; pcolor( K );%% See also:% DIAGKER, KERNELPROJ.%% About: Statistical Pattern Recognition Toolbox% (C) 1999-2003, Written by Vojtech Franc and Vaclav Hlavac% <a href="http://www.cvut.cz">Czech Technical University Prague</a>% <a href="http://www.feld.cvut.cz">Faculty of Electrical Engineering</a>% <a href="http://cmp.felk.cvut.cz">Center for Machine Perception</a>% Modifications:% 19-sep-2004, VF% 5-may-2004, VF% MEX-File function. ?? 快捷鍵說明
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