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partC.m
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%%%%%%%%%%%%%%%% ASKHSH 3 %%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% C1 C2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
rng(0);
MU = [0 0];
SIGMA = [0.6 0.4; 0.4 0.6];
r = mvnrnd(MU,SIGMA, 500);
MU = [2 2];
SIGMA = [0.6 0.4; 0.4 0.6];
d = mvnrnd(MU,SIGMA, 63);
MU = [2 0];
SIGMA = [0.6 0.4; 0.4 0.6];
p = mvnrnd(MU,SIGMA, 62);
MU = [4 2];
SIGMA = [0.6 0.4; 0.4 0.6];
k = mvnrnd(MU,SIGMA, 375);
% plot(r(:,1),r(:,2),'+', d(:,1),d(:,2),'r*', p(:,1),p(:,2),'gd', k(:,1),k(:,2),'ks');
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% C3 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%% ypologismos parametrwn 1hs klashs %%%%%%%%%%%%%%%%
x = 0;
y =0;
for i=1:500
x = x + r(i,1);
y = y + r(i,2);
end
mML_1 = [x/500 y/500]; % mesh timh 1hs klashs
x = 0;
for i=1:500
x = x + ((r(i,:) - mML_1)')*(r(i,:) - mML_1);
end
sML_1 = x / 500 ; % diaspora 1hs klashs
%%%%%%%%%%%%%% ypologismos parametrwn 2hs klashs %%%%%%%%%%%%%%%%
x = 0;
y =0;
for i=1:63
x = x + d(i,1);
y = y + d(i,2);
end
mML_2 = [x/63 y/63]; % mesh timh 2hs klashs
x = 0;
for i=1:63
x = x + ((d(i,:) - mML_2)')*(d(i,:) - mML_2);
end
sML_2 = x / 63 ; % diaspora 2hs klashs
%%%%%%%%%%%%%% ypologismos parametrwn 3hs klashs %%%%%%%%%%%%%%%%
x = 0;
y =0;
for i=1:62
x = x + p(i,1);
y = y + p(i,2);
end
mML_3 = [x/62 y/62] ; % mesh timh 3hs klashs
x = 0;
for i=1:62
x = x + ((p(i,:) - mML_3)')*(p(i,:) - mML_3);
end
sML_3 = x / 62 ; % diaspora 3hs klashs
%%%%%%%%%%%%%% ypologismos parametrwn 4hs klashs %%%%%%%%%%%%%%%%
x = 0;
y =0;
for i=1:375
x = x + k(i,1);
y = y + k(i,2);
end
mML_4 = [x/375 y/375] ; % mesh timh 4hs klashs
x = 0;
for i=1:375
x = x + ((k(i,:) - mML_4)')*(k(i,:) - mML_4);
end
sML_4 = x / 375 ; % diaspora 4hs klashs
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% C4 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%{
%%%%%%%%%%%%%%%% gia 1h klash %%%%%%%%%%%%%%%%
for i=1:500
eukl_dist_1 = norm(r(i,:) - mML_1);
eukl_dist_2 = norm(r(i,:) - mML_2);
eukl_dist_3 = norm(r(i,:) - mML_3);
eukl_dist_4 = norm(r(i,:) - mML_4);
min = eukl_dist_1;
if( eukl_dist_2 < min )
min = eukl_dist_2;
end
if (eukl_dist_3 < min )
min = eukl_dist_3;
end
if ( eukl_dist_4 < min )
min = eukl_dist_4;
end
if( eukl_dist_1 == min )
hold on
plot(r(i,1),r(i,2),'+')
sfalma = ( abs(min-eukl_dist_1)/eukl_dist_1 )*100
end
if( eukl_dist_2 == min )
hold on
plot(r(i,1),r(i,2),'r*')
sfalma = ( abs(min-eukl_dist_1)/eukl_dist_1 )*100
end
if ( eukl_dist_3 == min )
hold on
plot(r(i,1),r(i,2),'gd')
sfalma = ( abs(min-eukl_dist_1)/eukl_dist_1 )*100
end
if ( eukl_dist_4 == min )
hold on
plot(r(i,1),r(i,2),'ks')
sfalma = ( abs(min-eukl_dist_1)/eukl_dist_1 )*100
end
end
%%%%%%%%%%%%%%%% gia 2h klash %%%%%%%%%%%%%%%%
for i=1:63
eukl_dist_1 = norm(d(i,:) - mML_1);
eukl_dist_2 = norm(d(i,:) - mML_2);
eukl_dist_3 = norm(d(i,:) - mML_3);
eukl_dist_4 = norm(d(i,:) - mML_4);
min = eukl_dist_1;
if( eukl_dist_2 < min )
min = eukl_dist_2;
end
if ( eukl_dist_3 < min )
min = eukl_dist_3;
end
if ( eukl_dist_4 < min )
min = eukl_dist_4;
end
if( eukl_dist_1 == min )
hold on
plot(d(i,1),d(i,2),'+')
sfalma = ( abs(min-eukl_dist_2)/eukl_dist_2 )*100
end
if( eukl_dist_2 == min )
hold on
plot(d(i,1),d(i,2),'r*')
sfalma = ( abs(min-eukl_dist_2)/eukl_dist_2 )*100
end
if ( eukl_dist_3 == min )
hold on
plot(d(i,1),d(i,2),'gd')
sfalma = ( abs(min-eukl_dist_2)/eukl_dist_2 )*100
end
if ( eukl_dist_4 == min )
hold on
plot(d(i,1),d(i,2),'ks')
sfalma = ( abs(min-eukl_dist_2)/eukl_dist_2 )*100
end
end
%%%%%%%%%%%%%%%% gia 3h klash %%%%%%%%%%%%%%%%
for i=1:62
eukl_dist_1 = norm(p(i,:) - mML_1);
eukl_dist_2 = norm(p(i,:) - mML_2);
eukl_dist_3 = norm(p(i,:) - mML_3);
eukl_dist_4 = norm(p(i,:) - mML_4);
min = eukl_dist_1;
if( eukl_dist_2 < min )
min = eukl_dist_2;
end
if ( eukl_dist_3 < min )
min = eukl_dist_3;
end
if ( eukl_dist_4 < min )
min = eukl_dist_4;
end
if( eukl_dist_1 == min )
hold on
plot(p(i,1),p(i,2),'+')
sfalma = ( abs(min-eukl_dist_3)/eukl_dist_3 )*100
end
if( eukl_dist_2 == min )
hold on
plot(p(i,1),p(i,2),'r*')
sfalma = ( abs(min-eukl_dist_3)/eukl_dist_3 )*100
end
if ( eukl_dist_3 == min )
hold on
plot(p(i,1),p(i,2),'gd')
sfalma = ( abs(min-eukl_dist_3)/eukl_dist_3 )*100
end
if ( eukl_dist_4 == min )
hold on
plot(p(i,1),p(i,2),'ks')
sfalma = ( abs(min-eukl_dist_3)/eukl_dist_3 )*100
end
end
%%%%%%%%%%%%%%%% gia 4h klash %%%%%%%%%%%%%%%%
for i=1:375
eukl_dist_1 = norm(k(i,:) - mML_1);
eukl_dist_2 = norm(k(i,:) - mML_2);
eukl_dist_3 = norm(k(i,:) - mML_3);
eukl_dist_4 = norm(k(i,:) - mML_4);
min = eukl_dist_1;
if( eukl_dist_2 < min )
min = eukl_dist_2;
end
if ( eukl_dist_3 < min )
min = eukl_dist_3;
end
if ( eukl_dist_4 < min )
min = eukl_dist_4;
end
if( eukl_dist_1 == min )
hold on
plot(k(i,1),k(i,2),'+')
sfalma = ( abs(min-eukl_dist_4)/eukl_dist_4 )*100
end
if( eukl_dist_2 == min )
hold on
plot(k(i,1),k(i,2),'r*')
sfalma = ( abs(min-eukl_dist_4)/eukl_dist_4 )*100
end
if ( eukl_dist_3 == min )
hold on
plot(k(i,1),k(i,2),'gd')
sfalma = ( abs(min-eukl_dist_4)/eukl_dist_4 )*100
end
if ( eukl_dist_4 == min )
hold on
plot(k(i,1),k(i,2),'ks')
sfalma = ( abs(min-eukl_dist_4)/eukl_dist_4 )*100
end
end
%}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% C5 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%% gia 1h klash %%%%%%%%%%%%%%%%
%{
temp=(sML_1 + sML_2 + sML_3 + sML_4)/4 ;
for i=1:500
dm_1=((r(i,:) - mML_1) * (inv(temp)) * (r(i,:) - mML_1)')^1/2;
dm_2=((r(i,:) - mML_2) * (inv(temp)) * (r(i,:) - mML_2)')^1/2;
dm_3=((r(i,:) - mML_3) * (inv(temp)) * (r(i,:) - mML_3)')^1/2;
dm_4=((r(i,:) - mML_4) * (inv(temp)) * (r(i,:) - mML_4)')^1/2;
min = dm_1;
if( dm_2 < min )
min = dm_2;
end
if ( dm_3 < min )
min = dm_3;
end
if ( dm_4 < min )
min = dm_4;
end
if( dm_1 == min )
hold on
plot(r(i,1),r(i,2),'+')
sfalma = ( abs(min-dm_1)/dm_1 )*100
end
if( dm_2 == min )
hold on
plot(r(i,1),r(i,2),'r*')
sfalma = ( abs(min-dm_1)/dm_1 )*100
end
if ( dm_3 == min )
hold on
plot(r(i,1),r(i,2),'gd')
sfalma = ( abs(min-dm_1)/dm_1 )*100
end
if ( dm_4 == min )
hold on
plot(r(i,1),r(i,2),'ks')
sfalma = ( abs(min-dm_1)/dm_1 )*100
end
end
%%%%%%%%%%%%%%%% gia 2h klash %%%%%%%%%%%%%%%%
for i=1:63
dm_1=((d(i,:) - mML_1) * (inv(temp)) * (d(i,:) - mML_1)')^1/2;
dm_2=((d(i,:) - mML_2) * (inv(temp)) * (d(i,:) - mML_2)')^1/2;
dm_3=((d(i,:) - mML_3) * (inv(temp)) * (d(i,:) - mML_3)')^1/2;
dm_4=((d(i,:) - mML_4) * (inv(temp)) * (d(i,:) - mML_4)')^1/2;
min = dm_1;
if( dm_2 < min )
min = dm_2;
end
if ( dm_3 < min )
min = dm_3;
end
if ( dm_4 < min )
min = dm_4;
end
if( dm_1 == min )
hold on
plot(d(i,1),d(i,2),'+')
sfalma = ( abs(min-dm_2)/dm_2 )*100
end
if( dm_2 == min )
hold on
plot(d(i,1),d(i,2),'r*')
sfalma = ( abs(min-dm_2)/dm_2 )*100
end
if ( dm_3 == min )
hold on
plot(d(i,1),d(i,2),'gd')
sfalma = ( abs(min-dm_2)/dm_2 )*100
end
if ( dm_4 == min )
hold on
plot(d(i,1),d(i,2),'ks')
sfalma = ( abs(min-dm_2)/dm_2 )*100
end
end
%%%%%%%%%%%%%%%% gia 3h klash %%%%%%%%%%%%%%%%
for i=1:62
dm_1=((p(i,:) - mML_1) * (inv(temp)) * (p(i,:) - mML_1)')^1/2;
dm_2=((p(i,:) - mML_2) * (inv(temp)) * (p(i,:) - mML_2)')^1/2;
dm_3=((p(i,:) - mML_3) * (inv(temp)) * (p(i,:) - mML_3)')^1/2;
dm_4=((p(i,:) - mML_4) * (inv(temp)) * (p(i,:) - mML_4)')^1/2;
min = dm_1;
if( dm_2 < min )
min = dm_2;
end
if ( dm_3 < min )
min = dm_3;
end
if ( dm_4 < min )
min = dm_4;
end
if( dm_1 == min )
hold on
plot(p(i,1),p(i,2),'+')
sfalma = ( abs(min-dm_3)/dm_3 )*100
end
if( dm_2 == min )
hold on
plot(p(i,1),p(i,2),'r*')
sfalma = ( abs(min-dm_3)/dm_3 )*100
end
if ( dm_3 == min )
hold on
plot(p(i,1),p(i,2),'gd')
sfalma = ( abs(min-dm_3)/dm_3 )*100
end
if ( dm_4 == min )
hold on
plot(p(i,1),p(i,2),'ks')
sfalma = ( abs(min-dm_3)/dm_3 )*100
end
end
%%%%%%%%%%%%%%%% gia 4h klash %%%%%%%%%%%%%%%%
for i=1:375
dm_1=((k(i,:) - mML_1) * (inv(temp)) * (k(i,:) - mML_1)')^1/2;
dm_2=((k(i,:) - mML_2) * (inv(temp)) * (k(i,:) - mML_2)')^1/2;
dm_3=((k(i,:) - mML_3) * (inv(temp)) * (k(i,:) - mML_3)')^1/2;
dm_4=((k(i,:) - mML_4) * (inv(temp)) * (k(i,:) - mML_4)')^1/2;
min = dm_1;
if( dm_2 < min )
min = dm_2;
end
if ( dm_3 < min )
min = dm_3;
end
if ( dm_4 < min )
min = dm_4;
end
if( dm_1 == min )
hold on
plot(k(i,1),k(i,2),'+')
sfalma = ( abs(min-dm_4)/dm_4 )*100
end
if( dm_2 == min )
hold on
plot(k(i,1),k(i,2),'r*')
sfalma = ( abs(min-dm_4)/dm_4 )*100
end
if ( dm_3 == min )
hold on
plot(k(i,1),k(i,2),'gd')
sfalma = ( abs(min-dm_4)/dm_4 )*100
end
if ( dm_4 == min )
hold on
plot(k(i,1),k(i,2),'ks')
sfalma = ( abs(min-dm_4)/dm_4 )*100
end
end
%}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% C6 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%% gia 1h klash %%%%%%%%%%%%%%%%
for i=1:500
px1 = 1/2 * (exp( -1/2 * ( r(i,:) - mML_1 ) * inv(sML_1) * ( r(i,:) - mML_1 )' ) / 2 * pi * (det(sML_1)^1/2));
px2 = 1/16 * (exp( -1/2 * ( r(i,:) - mML_2 ) * inv(sML_2) * ( r(i,:) - mML_2 )' ) / 2 * pi * (det(sML_2)^1/2));
px3 = 1/16 * (exp( -1/2 * ( r(i,:) - mML_3 ) * inv(sML_3) * ( r(i,:) - mML_3 )' ) / 2 * pi * (det(sML_3)^1/2));
px4 = 3/8 * (exp( -1/2 * ( r(i,:) - mML_4 ) * inv(sML_4) * ( r(i,:) - mML_4 )' ) / 2 * pi * (det(sML_4)^1/2));
max = px1;
if ( px2 > max )
max = px2;
end
if ( px3 > max )
max = px3;
end
if ( px4 > max )
max = px4;
end
if ( max == px1 )
hold on
plot(r(i,1),r(i,2),'+')
sfalma = ( abs(max-px1)/px1 )*100
end
if ( max == px2 )
hold on
plot(r(i,1),r(i,2),'r*')
sfalma = ( abs(max-px1)/px1 )*100
end
if ( max == px3 )
hold on
plot(r(i,1),r(i,2),'gd')
sfalma = ( abs(max-px1)/px1 )*100
end
if ( max == px4 )
hold on
plot(r(i,1),r(i,2),'ks')
sfalma = ( abs(max-px1)/px1 )*100
end
end
%%%%%%%%%%%%%%%% gia 2h klash %%%%%%%%%%%%%%%%
for i=1:63
px1 = 1/2 * (exp( -1/2 * ( r(i,:) - mML_1 ) * inv(sML_1) * ( r(i,:) - mML_1 )' ) / 2 * pi * (det(sML_1)^1/2));
px2 = 1/16 * (exp( -1/2 * ( r(i,:) - mML_2 ) * inv(sML_2) * ( r(i,:) - mML_2 )' ) / 2 * pi * (det(sML_2)^1/2));
px3 = 1/16 * (exp( -1/2 * ( r(i,:) - mML_3 ) * inv(sML_3) * ( r(i,:) - mML_3 )' ) / 2 * pi * (det(sML_3)^1/2));
px4 = 3/8 * (exp( -1/2 * ( r(i,:) - mML_4 ) * inv(sML_4) * ( r(i,:) - mML_4 )' ) / 2 * pi * (det(sML_4)^1/2));
max = px1;
if ( px2 > max )
max = px2;
end
if ( px3 > max )
max = px3;
end
if ( px4 > max )
max = px4;
end
if ( max == px1 )
hold on
plot(d(i,1),d(i,2),'+')
sfalma = ( abs(max-px2)/px2 )*100
end
if ( max == px2 )
hold on
plot(d(i,1),d(i,2),'r*')
sfalma = ( abs(max-px2)/px2 )*100
end
if ( max == px3 )
hold on
plot(d(i,1),d(i,2),'gd')
sfalma = ( abs(max-px2)/px2 )*100
end
if ( max == px4 )
hold on
plot(d(i,1),d(i,2),'ks')
sfalma = ( abs(max-px2)/px2 )*100
end
end
%%%%%%%%%%%%%%%% gia 3h klash %%%%%%%%%%%%%%%%
for i=1:62
px1 = 1/2 * (exp( -1/2 * ( r(i,:) - mML_1 ) * inv(sML_1) * ( r(i,:) - mML_1 )' ) / 2 * pi * (det(sML_1)^1/2));
px2 = 1/16 * (exp( -1/2 * ( r(i,:) - mML_2 ) * inv(sML_2) * ( r(i,:) - mML_2 )' ) / 2 * pi * (det(sML_2)^1/2));
px3 = 1/16 * (exp( -1/2 * ( r(i,:) - mML_3 ) * inv(sML_3) * ( r(i,:) - mML_3 )' ) / 2 * pi * (det(sML_3)^1/2));
px4 = 3/8 * (exp( -1/2 * ( r(i,:) - mML_4 ) * inv(sML_4) * ( r(i,:) - mML_4 )' ) / 2 * pi * (det(sML_4)^1/2));
max = px1;
if ( px2 > max )
max = px2;
end
if ( px3 > max )
max = px3;
end
if ( px4 > max )
max = px4;
end
if ( max == px1 )
hold on
plot(p(i,1),p(i,2),'+')
sfalma = ( abs(max-px3)/px3 )*100
end
if ( max == px2 )
hold on
plot(p(i,1),p(i,2),'r*')
sfalma = ( abs(max-px3)/px3 )*100
end
if ( max == px3 )
hold on
plot(p(i,1),p(i,2),'gd')
sfalma = ( abs(max-px3)/px3 )*100
end
if ( max == px4 )
hold on
plot(p(i,1),p(i,2),'ks')
sfalma = ( abs(max-px3)/px3 )*100
end
end
%%%%%%%%%%%%%%%% gia 4h klash %%%%%%%%%%%%%%%%
for i=1:375
px1 = 1/2 * (exp( -1/2 * ( r(i,:) - mML_1 ) * inv(sML_1) * ( r(i,:) - mML_1 )' ) / 2 * pi * (det(sML_1)^1/2));
px2 = 1/16 * (exp( -1/2 * ( r(i,:) - mML_2 ) * inv(sML_2) * ( r(i,:) - mML_2 )' ) / 2 * pi * (det(sML_2)^1/2));
px3 = 1/16 * (exp( -1/2 * ( r(i,:) - mML_3 ) * inv(sML_3) * ( r(i,:) - mML_3 )' ) / 2 * pi * (det(sML_3)^1/2));
px4 = 3/8 * (exp( -1/2 * ( r(i,:) - mML_4 ) * inv(sML_4) * ( r(i,:) - mML_4 )' ) / 2 * pi * (det(sML_4)^1/2));
max = px1;
if ( px2 > max )
max = px2;
end
if ( px3 > max )
max = px3;
end
if ( px4 > max )
max = px4;
end
if ( max == px1 )
hold on
plot(k(i,1),k(i,2),'+')
sfalma = ( abs(max-px4)/px4 )*100
end
if ( max == px2 )
hold on
plot(k(i,1),k(i,2),'r*')
sfalma = ( abs(max-px4)/px4 )*100
end
if ( max == px3 )
hold on
plot(k(i,1),k(i,2),'gd')
sfalma = ( abs(max-px4)/px4 )*100
end
if ( max == px4 )
hold on
plot(k(i,1),k(i,2),'ks')
sfalma = ( abs(max-px4)/px4 )*100
end
end