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[ÇóÖú] ÏëÇëÎÊһϣ¬¶à·ÖÀàÂß¼­»Ø¹é£¬Õâ¸ö´úÂëÕýÈ·ÂðÒÑÓÐ1È˲ÎÓë

%% Training

Betas=MLR(Xtrain,Ytrain);

%% Testing
Ypred_test=getPredMLR(Betas,Xtest);
error_test=getError(Ypred_test,Ytest)
Ypred_train=getPredMLR(Betas,Xtrain);
error_train=getError(Ypred_train,Ytrain)

function [ B ] = MLR( X,Y )
Y_unique=unique(Y);
X=[ones(size(X,1),1),X];
d1=length(Y_unique);
d2=size(X,2);
B=zeros(d1,d2);
% Y_unique=unique(Y);
for i=1:1:d1
    Y_blr=getY_blr(Y,Y_unique(i));
    B(i,=getB(B(i,,X,Y_blr);
end
end

function Bn = getB( X,Y )
Bo=zeros(size(X,2),1);%µü´ú³õʼֵ
for i=1:8
W=getW(X,Bo);
Pi=getPi(Bo,X);
Bn=Bo + pinv(X'*W*X)*X'*(Y-Pi);
Bo=Bn;
end
Bn=Bo;
end


function Pi = getPi(Bo,X)
Pi=[];
S=size(X,1);
% W=zeros(S(1));
for i=1:1:S(1)
P=(exp(Bo'*X(i,'));
P=P/(1+P);
Pi=[Pi,P];
end
Pi=Pi';
end

function W = getW( X,Bo )
S=size(X);
W=zeros(S(1));
for i=1:1:S(1)
num=(exp(Bo'*X(i,'));
denom=1+num;
P=num/denom;%sigmondº¯Êý
RP=1-P;
% size(W);
W(i,i)=P*RP;
end  
end

function [ Y_blr ] = getY_blr(Y,i)
Y_blr=Y;
Y_blr(Y==i)=1;
Y_blr(Y~=i)=0;
end
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Òø³æ (ÕýʽдÊÖ)

´óÉñ£¬ÕâÀïÊÇʲôÒâ˼£¿Bn=Bo + pinv(X'*W*X)*X'*(Y-Pi);
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