📄 fisherslineardiscriminant.m
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function [patterns, train_targets, w] = FishersLinearDiscriminant(train_patterns, train_targets, param, plot_on)
%Reshape the data points using the Fisher's linear discriminant
%Inputs:
% train_patterns - Input patterns
% train_targets - Input targets
% param - Unused
% plot_on - Unused
%
%Outputs
% patterns - New patterns
% targets - New targets
% w - Weights vector
train_one = find(train_targets == 1);
train_zero = find(train_targets == 0);
s0 = cov(train_patterns(:,train_zero)',1);
m0 = mean(train_patterns(:,train_zero)');
s1 = cov(train_patterns(:,train_one)',1);
m1 = mean(train_patterns(:,train_one)');
sw = s0 + s1;
w = inv(sw)*(m0-m1)';
patterns = [w'*train_patterns; zeros(1,length(train_targets))]; %We add a dimension because the toolbox needs 2D data
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