KFDA核Fisher鉴别

采用了，核函数Fisher鉴别准则，分类。

function [Train_FeatureTest_Feature]=GetFeature_KFDA（Train_SampleTest_SampleSample）;
%使用核Fisher方法对样本进行特征提取

sn_ori=size（Sample2）;
Train_Num=5;
[Dim_orisncn]=size（Sample）;
Test_Num=sn-Train_Num;
Train_count=Train_Num*cn;
Test_count=Test_Num*cn;

[Train_Feature2Test_Feature2]=GetProjection（SampleTrain_NumTrain_SampleTest_Sample）;
%训练样本，测试样本分别二维变成三维
[dimn]=size（Train_Feature2）;
T=ones（dimTrain_Numcn）;
for i=1:cn
    T1=[];
    for j=1:Train_Num
        T1=[T1 Train_Feature2（:（i-1）*Train_Num+j）];
    end
    T（::i）=T1;
end
Train_Feature3=T;

T=ones（dimTest_Numcn）;
for i=1:cn
    T1=[];
    for j=1:Test_Num
        T1=[T1 Test_Feature2（:（i-1）*Test_Num+j）];
    end
    T（::i）=T1;
end
Test_Feature3=T;

%在训练样本的KPCA特征矩阵上求得散布矩阵Sb、Sw、St
[SbSwSt]=GetScatter（Train_Feature3）;

[VS]=eig（Sw）;
s=diag（S）;
[sindex]=sort（s‘descend‘）;
Rank_Sw=rank（Sw）;
%取Sw的零空间
k=1;
for i=（Rank_Sw+1）:size（Sw1）
    P1（:k）=V（:index（i））;
    k=k+1;
end
Sb1=P1‘*Sb*P1;
Rank_SbI=rank（Sb1）;
[V1S1]=eig（Sb1）;
s1=diag（S1）;
[s1index1]=sort（s1‘descend‘）;
for i=1:Rank_SbI
    Z1（:i）=V1（:index1（i））;
end
W1=P1*Z1;
%取P1的正交补空间
for i=1:Rank_Sw
    P2（:i）=V（:index（i））;
end
Sb2=P2‘*Sb*P2;
St2=P2‘*St*P2;
[V2S2]=eig（Sb2St2）;
s2=diag（S2）;
[s2index2]=sort（s2‘descend‘）;
k=1;
for j=1:size（s21）
    if s2（j）>1e-6
    Z2（:k）=V2（:index2（j））;
    k=k+1;
    end
end
W2=P2*Z2;
W=[W1W2];

ProjectSet=W;

%降维，由于 rank（（Sw^-1）*Sb） <= rank（Sb） <= K-1，所以非零的特征根的个数最多为K-1。所以可以到 K-1 维。
ProjectSet=ProjectSet（:1:sn-1）;

%特征提取
Train_Feature=ProjectSet‘*Train_Feature2;
Test_Feature=ProjectSet‘*Test_Feature2;
%训练样本，测试样本分别二维变成三维
[dimn]=size（Train_Feature）;
T=ones（dimTrain_Numcn）;
for i=1:cn
    T1=[];
    for j=1:Train_Num
        T1=[T1 Train_Feature（:（i-1）*Train_Num+j）];
    end
    T（::i）=T1;
end
Train_Feature=T;

T=ones（dimTest_Numcn）;
for i=1:cn
    T1=[];
    for j=1:Test_Num
        T1=[T1 Test_Feature（:（i-1）*Test_Num+j）];
    end
    T（::i）=T1;
end
Test_Feature=T;

 属性            大小     日期    时间   名称
----------- ---------  ---------- -----  ----

     文件       2187  2008-06-15 17:45  KFDA\GetFeature_KFDA.m

     文件        704  2008-06-15 16:03  KFDA\GetProjection.m

     文件        800  2008-06-13 21:38  KFDA\GetScatter.m

     文件       2620  2008-06-13 16:49  KFDA\kpca_calc.m

     文件        738  2008-06-12 21:34  KFDA\kpca_map.m

     文件       1024  2006-03-27 22:52  KFDA\kpca_matrix.m

     文件        567  2008-06-15 17:51  KFDA\main.m

     文件       1201  2008-06-14 11:27  KFDA\ReadImage.m

     文件        758  2008-06-15 11:00  KFDA\Recognition.m

     目录          0  2008-06-15 17:56  KFDA

----------- ---------  ---------- -----  ----

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