?? kernel.m
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function [K] = kernel(ker,x,y)% Calculate kernel function. %% x: 輸入樣本,d×n1的矩陣,n1為樣本個數,d為樣本維數% y: 輸入樣本,d×n2的矩陣,n2為樣本個數,d為樣本維數%% ker 核參數(結構體變量)% the following fields:% type - linear : k(x,y) = x'*y% poly : k(x,y) = (x'*y+c)^d% gauss : k(x,y) = exp(-0.5*(norm(x-y)/s)^2)% tanh : k(x,y) = tanh(g*x'*y+c)% degree - Degree d of polynomial kernel (positive scalar).% offset - Offset c of polynomial and tanh kernel (scalar, negative for tanh).% width - Width s of Gauss kernel (positive scalar).% gamma - Slope g of the tanh kernel (positive scalar).%% ker = struct('type','linear');% ker = struct('type','ploy','degree',d,'offset',c);% ker = struct('type','gauss','width',s);% ker = struct('type','tanh','gamma',g,'offset',c);%% K: 輸出核參數,n1×n2的矩陣%-------------------------------------------------------------%switch ker.type case 'linear' K = x'*y; case 'ploy' d = ker.degree; c = ker.offset; K = (x'*y+c).^d; case 'gauss' s = ker.width; rows = size(x,2); cols = size(y,2); tmp = zeros(rows,cols); for i = 1:rows for j = 1:cols tmp(i,j) = norm(x(:,i)-y(:,j)); end end K = exp(-0.5*(tmp/s).^2); case 'tanh' g = ker.gamma; c = ker.offset; K = tanh(g*x'*y+c); otherwise K = 0;end
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