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partD.m
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partD.m
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% D1 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
rng(0);
MU = [0 0];
SIGMA = [0.6 0.4; 0.4 0.6];
r = mvnrnd(MU,SIGMA, 250);
MU = [2 2];
SIGMA = [0.6 0.4; 0.4 0.6];
d = mvnrnd(MU,SIGMA, 250);
MU = [2 0];
SIGMA = [0.6 0.4; 0.4 0.6];
p = mvnrnd(MU,SIGMA, 250);
MU = [4 2];
SIGMA = [0.6 0.4; 0.4 0.6];
k = mvnrnd(MU,SIGMA, 250);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% D2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
w1 = [r ; d];
w2 = [p ; k];
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% D3 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%plot(w1(:,1),w1(:,2),'+', w2(:,1),w2(:,2),'r*');
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% D4 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
x = 0;
y =0;
for i=1:500
x = x + w1(i,1);
y = y + w1(i,2);
end
mML_1 = [x/500 y/500]; % mesh timh 1hs klashs
x = 0;
for i=1:500
x = x + ((w1(i,:) - mML_1)')*(w1(i,:) - mML_1);
end
sML_1 = x / 500 ; % diaspora 1hs klashs
%%%%%%%%%%%%%% ypologismos parametrwn 2hs klashs %%%%%%%%%%%%%%%%
x = 0;
y =0;
for i=1:500
x = x + w2(i,1);
y = y + w2(i,2);
end
mML_2 = [x/500 y/500]; % mesh timh 2hs klashs
for i=1:500
x = x + ((w2(i,:) - mML_2)')*(w2(i,:) - mML_2);
end
sML_2 = x / 500 ; % diaspora 2hs klashs
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% D5 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%% eukleidia apostash %%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%% gia 1h klash %%%%%%%%%%%%%%%%
%{
for i=1:500
eukl_dist_1 = norm(w1(i,:) - mML_1);
eukl_dist_2 = norm(w1(i,:) - mML_2);
if( eukl_dist_1 < eukl_dist_2 )
hold on
plot(w1(i,1),w1(i,2),'+')
sfalma = ( abs(eukl_dist_1-eukl_dist_1)/eukl_dist_1 )*100
end
if(eukl_dist_2 < eukl_dist_1)
hold on
plot(w1(i,1),w1(i,2),'r*')
sfalma = ( abs(eukl_dist_2-eukl_dist_1)/eukl_dist_1 )*100
end
end
%%%%%%%%%%%%%%%% gia 2h klash %%%%%%%%%%%%%%%%
for i=1:500
eukl_dist_1 = norm(w2(i,:) - mML_1);
eukl_dist_2 = norm(w2(i,:) - mML_2);
if( eukl_dist_1 < eukl_dist_2 )
hold on
plot(w2(i,1),w2(i,2),'+')
sfalma = ( abs(eukl_dist_1-eukl_dist_2)/eukl_dist_2 )*100
end
if(eukl_dist_2 < eukl_dist_1)
hold on
plot(w2(i,1),w2(i,2),'r*')
sfalma = ( abs(eukl_dist_2-eukl_dist_2)/eukl_dist_2 )*100
end
end
%}
%%%%%%%%%%%%%%%%%% bayesian %%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%% gia 1h klash %%%%%%%%%%%%%%%%
%{
for i=1:500
px1 = (exp( -1/2 * ( w1(i,:) - mML_1 ) * inv(sML_1) * ( w1(i,:) - mML_1 )' ) / 2 * pi * (det(sML_1)^1/2));
px2 = (exp( -1/2 * ( w1(i,:) - mML_2 ) * inv(sML_2) * ( w1(i,:) - mML_2 )' ) / 2 * pi * (det(sML_2)^1/2));
if ( px1 > px2 )
hold on
plot(w1(i,1),w1(i,2),'+')
sfalma = ( abs(px1-px1)/px1 )*100
end
if ( px2 > px1 )
hold on
plot(w1(i,1),w1(i,2),'r*')
sfalma = ( abs(px2-px1)/px1 )*100
end
end
%%%%%%%%%%%%%%%% gia 2h klash %%%%%%%%%%%%%%%%
for i=1:500
px1 = (exp( -1/2 * ( w2(i,:) - mML_1 ) * inv(sML_1) * ( w2(i,:) - mML_1 )' ) / 2 * pi * (det(sML_1)^1/2));
px2 = (exp( -1/2 * ( w2(i,:) - mML_2 ) * inv(sML_2) * ( w2(i,:) - mML_2 )' ) / 2 * pi * (det(sML_2)^1/2));
if ( px1 > px2 )
hold on
plot(w2(i,1),w2(i,2),'+')
sfalma = ( abs(px1-px2)/px2 )*100
end
if ( px2 > px1 )
hold on
plot(w2(i,1),w2(i,2),'r*')
sfalma = ( abs(px2-px2)/px2 )*100
end
end
%}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% D6 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
[e,u]=eig(SIGMA)
if(u(1,1) < u(2,2))
for i=1:500
eik1 = e(:,2) * w1(i,:);
eik2 = e(:,2) * w2(i,:);
for j=1:2
hold on
plot(eik1(j,1),eik1(j,2),'+');
hold on
plot(eik2(j,1),eik2(j,2),'r*');
end
end
end
if(u(1,1) > u(2,2))
for i=1:500
eik1 = e(:,1) * w1(i,:);
eik2 = e(:,1)' * w2(i,:);
for j=1:2
hold on
plot(eik1(j,1),eik1(j,2),'+');
hold on
plot(eik2(j,2),eik2(j,2),'r*');
end
end
end