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Table1_Po
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Table1_Po
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Synthetic Evaluation of NEBEAE with different initializations for Po
%
% DUCD
% June/2022
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
sSNR=[20 25 30 35 40]; %% Test with 50, 52.5, 55 y 57.5 dB
pPSNR=[20 25 30 35 40];
Nsamples=60;
n=4;
ModelType=5;
Rep=2;
%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Define Paremeters of NEBEAE
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
initcond=6; % Initial condition of end-members matrix
rho=0.1; % Similarity weight in end-members estimation
lambda=0.1; % Entropy weight for abundance estimation
epsilon=1e-3;
maxiter=50;
parallel=0;
normalization=1;
downsampling=0.25; % Downsampling in end-members estimation
disp_iter=0; % Display partial performance in BEAE
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Initialize Performance Metrics
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
ResultsYh=zeros(3,4,Rep);
ResultsAh=zeros(3,4,Rep);
ResultsPh=zeros(3,4,Rep);
ResultsPh2=zeros(3,4,Rep);
ResultsTh=zeros(3,4,Rep);
for index=1:length(sSNR)
SNR=sSNR(index);
PSNR=pPSNR(index);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Execute Blind Estimation Methodologies
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
disp('%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%');
disp('%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%');
disp('Synthetic VNIR Datasets');
disp('Blind Unmixing Estimation');
disp(['SNR =' num2str(SNR) ' dB']);
disp(['PSNR =' num2str(PSNR) ' dB']);
disp(['Number of end-members=' num2str(n)]);
for j=1:Rep
[Z,Po,Ao,Go]=VNIRsynth(n,Nsamples,SNR,PSNR,ModelType);
[L,K]=size(Z);
Y=Z;
disp(['Iteration=' num2str(j)]);
tic;
disp('%%%%%%%%%%%%%%%%%%');
disp('NEBEAE --> NFINDR');
paramvec=[5,rho,lambda,epsilon,maxiter,downsampling,parallel,disp_iter];
[P,A,D,G,Zh]=NEBEAE2(Z,n,paramvec);
Tnbeae1=toc;
ResultsYh(index,1,j)=norm(Zh-Z,'fro')/norm(Z,'fro');
ResultsAh(index,1,j)=errorabundances(Ao,(A.*repmat(G',[n,1])));
ResultsPh(index,1,j)=errorendmembers(Po,P);
ResultsPh2(index,1,j)=errorSAM(Po,P);
ResultsTh(index,1,j)=Tnbeae1;
tic;
disp('%%%%%%%%%%%%%%%%%%');
disp('NEBEAE --> VCA');
paramvec=[6,rho,lambda,epsilon,maxiter,downsampling,parallel,disp_iter];
[P,A,D,G,Zh]=NEBEAE2(Z,n,paramvec);
Tnbeae2=toc;
ResultsYh(index,2,j)=norm(Zh-Z,'fro')/norm(Z,'fro');
ResultsAh(index,2,j)=errorabundances(Ao,(A.*repmat(G',[n,1])));
ResultsPh(index,2,j)=errorendmembers(Po,P);
ResultsPh2(index,2,j)=errorSAM(Po,P);
ResultsTh(index,2,j)=Tnbeae2;
%%
tic;
disp('%%%%%%%%%%%%%%%%%%');
disp('NEBEAE --> SVMAX');
paramvec=[7,rho,lambda,epsilon,maxiter,downsampling,parallel,disp_iter];
[P,A,D,G,Zh]=NEBEAE2(Z,n,paramvec);
Tnbeae3=toc;
ResultsYh(index,3,j)=norm(Zh-Z,'fro')/norm(Z,'fro');
ResultsAh(index,3,j)=errorabundances(Ao,(A.*repmat(G',[n,1])));
ResultsPh(index,3,j)=errorendmembers(Po,P);
ResultsPh2(index,3,j)=errorSAM(Po,P);
ResultsTh(index,3,j)=Tnbeae3;
%%
tic;
disp('%%%%%%%%%%%%%%%%%%');
disp('NEBEAE --> SISAL');
paramvec=[8,rho,lambda,epsilon,maxiter,downsampling,parallel,disp_iter];
[P,A,D,G,Zh]=NEBEAE2(Z,n,paramvec);
Tnbeae4=toc;
ResultsYh(index,4,j)=norm(Zh-Z,'fro')/norm(Z,'fro');
ResultsAh(index,4,j)=errorabundances(Ao,(A.*repmat(G',[n,1])));
ResultsPh(index,4,j)=errorendmembers(Po,P);
ResultsPh2(index,4,j)=errorSAM(Po,P);
ResultsTh(index,4,j)=Tnbeae4;
%%
end
end
%%
AAnd=[' & ';' & ';' & ';' & '; ' & '];
PM=[' $\pm$ '; ' $\pm$ '; ' $\pm$ '; ' $\pm$ '; ' $\pm$ '];
EEnd=[' \\'; ' \\'; ' \\'; ' \\'; ' \\'];
disp('%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%');
disp('Mean Responses in Performance Metrics')
disp('SNR/PSNR NFINDR VCA SVMAX SISAL');
disp('%%%%%%%%%%%%%%%');
disp('Error in Output Estimation (%)');
disp([num2str(int8(sSNR')) AAnd num2str(mean(ResultsYh(:,1,:),3)) PM num2str(std(ResultsYh(:,1,:),[],3)) ...
AAnd num2str(mean(ResultsYh(:,2,:),3)) PM num2str(std(ResultsYh(:,2,:),[],3)) ...
AAnd num2str(mean(ResultsYh(:,3,:),3)) PM num2str(std(ResultsYh(:,3,:),[],3)) ...
AAnd num2str(mean(ResultsYh(:,4,:),3)) PM num2str(std(ResultsYh(:,4,:),[],3)) EEnd]);
disp('%%%%%%%%%%%%%%%');
disp('Error in Abundance Estimation (%)');
disp([num2str(int8(sSNR')) AAnd num2str(mean(ResultsAh(:,1,:),3)) PM num2str(std(ResultsAh(:,1,:),[],3)) ...
AAnd num2str(mean(ResultsAh(:,2,:),3)) PM num2str(std(ResultsAh(:,2,:),[],3)) ...
AAnd num2str(mean(ResultsAh(:,3,:),3)) PM num2str(std(ResultsAh(:,3,:),[],3)) ...
AAnd num2str(mean(ResultsAh(:,4,:),3)) PM num2str(std(ResultsAh(:,4,:),[],3)) EEnd]);
disp('%%%%%%%%%%%%%%%');
disp('Error in End-member Estimation');
disp([num2str(int8(sSNR')) AAnd num2str(mean(ResultsPh(:,1,:),3)) PM num2str(std(ResultsPh(:,1,:),[],3)) ...
AAnd num2str(mean(ResultsPh(:,2,:),3)) PM num2str(std(ResultsPh(:,2,:),[],3)) ...
AAnd num2str(mean(ResultsPh(:,3,:),3)) PM num2str(std(ResultsPh(:,3,:),[],3)) ...
AAnd num2str(mean(ResultsPh(:,4,:),3)) PM num2str(std(ResultsPh(:,4,:),[],3)) EEnd]);
disp('%%%%%%%%%%%%%%%');
disp('Error in End-member Estimation (SAM)');
disp([num2str(int8(sSNR')) AAnd num2str(mean(ResultsPh2(:,1,:),3)) PM num2str(std(ResultsPh2(:,1,:),[],3)) ...
AAnd num2str(mean(ResultsPh2(:,2,:),3)) PM num2str(std(ResultsPh2(:,2,:),[],3)) ...
AAnd num2str(mean(ResultsPh2(:,3,:),3)) PM num2str(std(ResultsPh2(:,3,:),[],3)) ...
AAnd num2str(mean(ResultsPh2(:,4,:),3)) PM num2str(std(ResultsPh2(:,4,:),[],3)) EEnd]);
disp('%%%%%%%%%%%%%%%');
disp('Error in Computation Time');
disp([num2str(int8(sSNR')) AAnd num2str(mean(ResultsTh(:,1,:),3)) PM num2str(std(ResultsTh(:,1,:),[],3)) ...
AAnd num2str(mean(ResultsTh(:,2,:),3)) PM num2str(std(ResultsTh(:,2,:),[],3)) ...
AAnd num2str(mean(ResultsTh(:,3,:),3)) PM num2str(std(ResultsTh(:,3,:),[],3)) ...
AAnd num2str(mean(ResultsTh(:,4,:),3)) PM num2str(std(ResultsTh(:,4,:),[],3)) EEnd]);
%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% ANOVA Analysis
TabAnova=zeros(length(sSNR),4);
for j=1:5
for index=1:length(sSNR)
if j==1
TabAnova(index,j)=anova1(squeeze(ResultsYh(index,:,:))',[],'off');
elseif j==2
TabAnova(index,j)=anova1(squeeze(ResultsAh(index,:,:))',[],'off');
elseif j==3
TabAnova(index,j)=anova1(squeeze(ResultsPh(index,:,:))',[],'off');
elseif j==4
TabAnova(index,j)=anova1(squeeze(ResultsPh2(index,:,:))',[],'off');
else
TabAnova(index,j)=anova1(squeeze(ResultsTh(index,:,:))',[],'off');
end
end
end
display(TabAnova)