📄 k_means.m
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clear all;
%pionts=100; %Inout the pionts number
k=4; %Input the class number
load data100_noise.txt;
data=data100_noise;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%% K-Means Clustering %%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%data=randn(pionts,2);
size_data=length(data);
%============= Random Initial Center Points =========
cent=randperm(size_data);
for i=1:k
initial_center(i,:)=data(cent(i),:);
end
%================== Distence Matrix =================
for i=1:k
for j=1:size_data
a=data(j,1);b=data(j,2);
c=initial_center(i,1);
d=initial_center(i,2);
disten(j)=sqrt((a-c)^2+(b-d)^2);
end
D(i,:)=disten;
e(i)=sum(D(i,:));
end
E(1)=sum(e);
%======================= Class ======================
[n1,n2]=size(D);
for i=1:n2
for j=1:n1
dd(j)=D(j,i);
end
mindd=min(dd);
for s=1:n1
if(dd(s)==mindd)
class(i)=s;
end
end
end
%================= The Average Value =================
for i=1:k
ad=1;
clear C;
for j=1:size_data
if(class(j)==i)
C(ad,:)=data(j,:);
ad=ad+1;
end
end
aver_x(i)=sum(C(:,1))/(ad-1);
aver_y(i)=sum(C(:,2))/(ad-1);
end
%================== New Center Pionts =================
new_center=[aver_x;aver_y]';
%------------circle------------
count=1;
Class_new=class;
distence;
plot(aver_x,aver_y,'+k');hold on;
while true
count=count+1;
if(class==Class_new)
disp(class),break
else
Class_new=class;
distence;
end
end
%========================= Plot =======================
plot(aver_x,aver_y,'ok');hold on; %Center pionts
for i=1:k
acc=1;b=['*g'
'.r'
'*b'
'.m'
'*c'
'.y'];
clear Cc;
clear d;
for j=1:size_data
if(class(j)==i)
Cc(acc,:)=data(j,:);
acc=acc+1;
end
end
CX=Cc(:,1);
CY=Cc(:,2);
d=b(i,:);
plot(CX,CY,d);hold on; %Data pionts
end
figure;
plot(E);
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