Linear classification LDA - project line boundary
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How can I project the line obtained from linear discriminant analysis. I couldn't find how to make it despite it is easy task. I follow the materials provided online, but no one explain how to project the line and plot the data classes.
% Number of observations of each class
n1=size(c1,1)
n2=size(c2,1)
%Mean of each class
mu1=mean(c1)
mu2=mean(c2)
% Average of the mean of all classes
mu=(mu1+mu2)/2
% Center the data (data-mean)
d1=c1-repmat(mu1,5,1)
d2=c2-repmat(mu2,6,1)
% Calculate the within class variance (SW)
s1=d1'*d1
s2=d2'*d2
sw=s1+s2
invsw=inv(sw)
% in case of two classes only use v-direction of projection
v=invsw*(mu1-mu2)'
% % if more than 2 classes calculate between class variance (SB)
sb1=n1*(mu1-mu)'*(mu1-mu)
sb2=n2*(mu2-mu)'*(mu2-mu)
SB=sb1+sb2
v=invsw*SB
%
% % find eigne values and eigen vectors of the (v)
[evec,eval]=eig(v)
% Sort eigen vectors according to eigen values (descending order) and
% neglect eigen vectors according to small eigen values
% v=evec(greater eigen value)
% or use all the eigen vectors
% project the data of the first and second class respectively
y2=c2*v
y1=c1*v
unique(c1)
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