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close('all'); | |
clear; | |
m(:, 1) = [0 0]'; | |
m(:, 2) = [7 7]'; | |
S1 = 2 * eye(2); | |
S2 = 0.2 * eye(2); | |
P = [1/2 1/2]; | |
% Generate X1 and the required class labels | |
N1 = 200; | |
randn('seed',0) | |
X1 = [mvnrnd(m(:,1), S1, fix(N1/2)); mvnrnd(m(:,2), S2, N1-fix(N1/2))]'; | |
y1 = [(-1) * ones(1, fix(N1/2)) ones(1, N1-fix(N1/2))]; | |
% Generate X2 and the required class labels | |
N2 = 200; | |
randn('seed',100) | |
X2=[mvnrnd(m(:,1), S1, fix(N2/2)); mvnrnd(m(:,2), S2, N2-fix(N2/2))]'; | |
y2=[(-1) * ones(1, fix(N2/2)) ones(1, N2-fix(N2/2))]; | |
% Compute the Bayesian classification error based on X2 | |
S_true(:,:,1) = S1; | |
S_true(:,:,2) = S2; | |
[z]=bayes_classifier(m, S_true, P, X2); | |
bayY = 2 * z - 3; | |
err_Bayes_true = sum(bayY~=y2) / sum(N2) | |
% 2. Augment the data vectors of X1 | |
X1=[X1; ones(1,sum(N1))]; | |
% Augment the data vectors of X2 | |
X2=[X2; ones(1,sum(N2))]; | |
% Compute the classification error of the LS classifier based on X2 | |
[w]=SSErr(X1, y1, 0) | |
SSE_out=2*(w'*X2>0)-1; | |
err_SSE=sum(SSE_out.*y2<0) / sum(N2) | |
wX = -5:0.1:12; | |
wY = (-w(1) * wX - w(3)) / w(2); | |
figure(1), | |
plot(X1(1, y1==-1), X1(2, y1==-1), 'bo', ... | |
X1(1, y1==1), X1(2, y1==1), 'r.', ... | |
wX, wY, 'g-'); | |
figure(1), axis equal |
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