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expRandomInitComp.m
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%% nmf_MDC_test with more than 3 endmembers
clear all
plot_ = false;
random_ = false;
expTimes = 1;
dataSize = 900;
noiseLevel = 0.001;
bandNum = 6;
emNum = 6;
emTrue = zeros(emNum, bandNum);
emInit = zeros(emNum, bandNum);
emMdc = zeros(emNum, bandNum);
emMvcResult = zeros(emNum, bandNum);
abunTrue = zeros(dataSize, emNum);
abunInit = zeros(dataSize, emNum);
abunMdc = zeros(dataSize, emNum);
abunMvcResult = zeros(dataSize, emNum);
sadInit = zeros(emNum,expTimes);
sadMdc = zeros(emNum,expTimes);
sadMvc = zeros(emNum,expTimes);
sadMdcAscl = zeros(emNum,expTimes);
sadAscl1_2 = zeros(emNum,expTimes);
sadAscl1 = zeros(emNum,expTimes);
for expIndex = 1:expTimes
% generate true W, H, V
emTrue = abs( randn( emNum, bandNum ) );
[hyperData, abunTrue] = create4(dataSize, emTrue);
hyperData = hyperData + noiseLevel*max(max(hyperData))*randn(size(hyperData));
maxHyperData = max(hyperData);
% for i = 1:band_num
% V(:,i) = V(:,i) / (max_V(i));
% end
if plot_ == true
scatter(hyperData(:,1), hyperData(:,2))
xlabel('band 1');
ylabel('band 2');
xlim([0,1])
ylim([0,1])
end
%% find initial H using n_findr
emInitDataIndex = nFindr(hyperData, emNum);
emInit = hyperData(emInitDataIndex, :);
% find initian W abundance using nmf
% update abundance matrix only
alpha = 1;
tol = 0.1;
maxIter = 5000;
[abunInit, E_I] = nmfAbundance(hyperData, emNum, emInit,...
alpha, tol, maxIter);
V_test = abunInit * emInit;
for em_i = 1:emNum
tmp_sad = inf;
for em_j = 1:emNum
cur_sad = sad(emTrue(em_j,:)', emInit(em_i,:)');
if cur_sad<tmp_sad
tmp_sad = cur_sad;
end
end
if(tmp_sad == inf)
tmp_sad = mean(sadInit(em_i, 1:expIndex-1)/emNum);
end
sadInit(em_i, expIndex) = sadInit(em_i, expIndex) + tmp_sad;
end
if plot_ == true
figure(1)
scatter(V_test(:,1), V_test(:,2), 'c', 'full'); hold on
scatter(hyperData(:,1), hyperData(:,2), 'r')
scatter(emInit(:, 1), emInit(:, 2), 'full');
end
% factorize V using nmf_MDC_simple method
%% mdc test
if random_
emRand = abs(randn(emNum, bandNum));
abunRand = abs(randn(dataSize, emNum));
[ abunMdc, emMdc, emMdcRecord, errMdc] = ...
hyperNmfMDC(...
hyperData, emNum, abunRand, emRand, ...
0.001, ...
0.3,...
0.01, ...
30000 ...
);
W_test_random_init = abunMdc;
H_test_random_init = emMdc;
else
emRand = emInit;
abunRand = abunInit;
[ abunMdc, emMdc, emMdcRecord, errMdc] = ...
hyperNmfMDC(...
hyperData, emNum, abunInit, emInit, ...
0.001, ...
0.3,...
0.01, ...
30000 ...
);
W_test_well_init = abunMdc;
H_test_well_init = emMdc;
end
% M = [ 0 1 0; 0 0 1; 1 0 0];
% D_true = H_true - ( M * H_true);
% D_true = sum( sum( D_true.^2 ) );
% D_test = H_test - ( M * H_test);
% D_test = sum( sum( D_test.^2 ) );
%
% disp 'true distance',D_true
% disp 'test distance',D_test
% e_H = H_true - H_test;
% e_H_sum = sum( sum( e_H.^2 ) )
% e_V = V( :, 1:2 ) - V_test;
% e_V_sum = sum( sum( e_V.^2 ) )
for em_i = 1:emNum
tmp_sad = inf;
for em_j = 1:emNum
cur_sad = sad(emTrue(em_j,:)', emMdc(em_i,:)');
if cur_sad<tmp_sad
tmp_sad = cur_sad;
end
end
if(tmp_sad == inf)
tmp_sad = mean(sadMdc(em_i, 1:expIndex-1)/emNum);
end
sadMdc(em_i, expIndex) = sadMdc(em_i, expIndex) + tmp_sad;
end
%% visualize rest
if plot_ == true
V_test = abunMdc * emMdc;
figure(2)
subplot(321)
em_index1 = 1;
em_index2 = 2;
scatter(hyperData(:,em_index1), hyperData(:,em_index2), 'c' ); hold on ;
scatter(emInit(:, em_index1), emInit(:, em_index2));
scatter( V_test(:,em_index1), V_test(:,em_index2), 5, 'k' );
% scatter( H_true(:,1), H_true(:,2) , 100, 'filled','c')
scatter( emMdc(:,em_index1), emMdc(:,em_index2) , 100, 'filled','k')
plot(emMdcRecord(1, :,em_index1), emMdcRecord(1, :,em_index2), 'r-', 'MarkerSize', 5);
plot(emMdcRecord(2, :,em_index1), emMdcRecord(2, :,em_index2), 'g-', 'MarkerSize', 5);
plot(emMdcRecord(3, :,em_index1), emMdcRecord(3, :,em_index2), 'b-', 'MarkerSize', 5);
plot(emMdcRecord(4, :,em_index1), emMdcRecord(4, :,em_index2), 'm-', 'MarkerSize', 5);
% axis equal
subplot(322)
em_index1 = 1;
em_index2 = 3;
scatter(hyperData(:,em_index1), hyperData(:,em_index2), 'c' ); hold on ;
scatter(emInit(:, em_index1), emInit(:, em_index2));
scatter( V_test(:,em_index1), V_test(:,em_index2), 5, 'k' );
% scatter( H_true(:,1), H_true(:,2) , 100, 'filled','c')
scatter( emMdc(:,em_index1), emMdc(:,em_index2) , 100, 'filled','k')
plot(emMdcRecord(1, :,em_index1), emMdcRecord(1, :,em_index2), 'r-', 'MarkerSize', 5);
plot(emMdcRecord(2, :,em_index1), emMdcRecord(2, :,em_index2), 'g-', 'MarkerSize', 5);
plot(emMdcRecord(3, :,em_index1), emMdcRecord(3, :,em_index2), 'b-', 'MarkerSize', 5);
plot(emMdcRecord(4, :,em_index1), emMdcRecord(4, :,em_index2), 'm-', 'MarkerSize', 5);
% axis equal
subplot(323)
em_index1 = 1;
em_index2 = 4;
scatter(hyperData(:,em_index1), hyperData(:,em_index2), 'c' ); hold on ;
scatter(emInit(:, em_index1), emInit(:, em_index2));
scatter( V_test(:,em_index1), V_test(:,em_index2), 5, 'k' );
% scatter( H_true(:,1), H_true(:,2) , 100, 'filled','c')
scatter( emMdc(:,em_index1), emMdc(:,em_index2) , 100, 'filled','k')
plot(emMdcRecord(1, :,em_index1), emMdcRecord(1, :,em_index2), 'r-', 'MarkerSize', 5);
plot(emMdcRecord(2, :,em_index1), emMdcRecord(2, :,em_index2), 'g-', 'MarkerSize', 5);
plot(emMdcRecord(3, :,em_index1), emMdcRecord(3, :,em_index2), 'b-', 'MarkerSize', 5);
plot(emMdcRecord(4, :,em_index1), emMdcRecord(4, :,em_index2), 'm-', 'MarkerSize', 5);
% axis equal
subplot(324)
em_index1 = 1;
em_index2 = 5;
scatter(hyperData(:,em_index1), hyperData(:,em_index2), 'c' ); hold on ;
scatter(emInit(:, em_index1), emInit(:, em_index2));
scatter( V_test(:,em_index1), V_test(:,em_index2), 5, 'k' );
% scatter( H_true(:,1), H_true(:,2) , 100, 'filled','c')
scatter( emMdc(:,em_index1), emMdc(:,em_index2) , 100, 'filled','k')
plot(emMdcRecord(1, :,em_index1), emMdcRecord(1, :,em_index2), 'r-', 'MarkerSize', 5);
plot(emMdcRecord(2, :,em_index1), emMdcRecord(2, :,em_index2), 'g-', 'MarkerSize', 5);
plot(emMdcRecord(3, :,em_index1), emMdcRecord(3, :,em_index2), 'b-', 'MarkerSize', 5);
plot(emMdcRecord(4, :,em_index1), emMdcRecord(4, :,em_index2), 'm-', 'MarkerSize', 5);
subplot(325)
em_index1 = 2;
em_index2 = 3;
scatter(hyperData(:,em_index1), hyperData(:,em_index2), 'c' ); hold on ;
scatter(emInit(:, em_index1), emInit(:, em_index2));
scatter( V_test(:,em_index1), V_test(:,em_index2), 5, 'k' );
% scatter( H_true(:,1), H_true(:,2) , 100, 'filled','c')
scatter( emMdc(:,em_index1), emMdc(:,em_index2) , 100, 'filled','k')
plot(emMdcRecord(1, :,em_index1), emMdcRecord(1, :,em_index2), 'r-', 'MarkerSize', 5);
plot(emMdcRecord(2, :,em_index1), emMdcRecord(2, :,em_index2), 'g-', 'MarkerSize', 5);
plot(emMdcRecord(3, :,em_index1), emMdcRecord(3, :,em_index2), 'b-', 'MarkerSize', 5);
plot(emMdcRecord(4, :,em_index1), emMdcRecord(4, :,em_index2), 'm-', 'MarkerSize', 5);
subplot(326)
em_index1 = 2;
em_index2 = 4;
scatter(hyperData(:,em_index1), hyperData(:,em_index2), 'c' ); hold on ;
scatter(emInit(:, em_index1), emInit(:, em_index2));
scatter( V_test(:,em_index1), V_test(:,em_index2), 5, 'k' );
% scatter( H_true(:,1), H_true(:,2) , 100, 'filled','c')
scatter( emMdc(:,em_index1), emMdc(:,em_index2) , 100, 'filled','k')
plot(emMdcRecord(1, :,em_index1), emMdcRecord(1, :,em_index2), 'r-', 'MarkerSize', 5);
plot(emMdcRecord(2, :,em_index1), emMdcRecord(2, :,em_index2), 'g-', 'MarkerSize', 5);
plot(emMdcRecord(3, :,em_index1), emMdcRecord(3, :,em_index2), 'b-', 'MarkerSize', 5);
plot(emMdcRecord(4, :,em_index1), emMdcRecord(4, :,em_index2), 'm-', 'MarkerSize', 5);
figure(3)
subplot(121); plot(E_I)
subplot(122); plot(errMdc)
end
%% mvcnmf ref test
[UU, SS, WW] = svd(hyperData');
prin_comp = pca(hyperData);
mean_data = mean(emTrue, 1);
[emMvcResult, abunMvcResult] = hyperNmfMVC(hyperData', emRand', abunRand', ...
emTrue', UU, prin_comp, mean_data, ...
0.001, ...
0.001, ...
30000, ...
0, ...
2, ...
1 ...
);
V_mvc = emMvcResult * abunMvcResult;
for em_i = 1:emNum
tmp_sad = inf;
for em_j = 1:emNum
cur_sad = sad(emTrue(em_j,:)', emMvcResult(:,em_i));
if cur_sad<tmp_sad
tmp_sad = cur_sad;
end
end
sadMvc(em_i, expIndex) = sadMvc(em_i, expIndex) + tmp_sad;
end
if plot_ == true
figure(4)
subplot(231)
em_index1 = 1;
em_index2 = 2;
scatter(hyperData(:, em_index1), hyperData(:, em_index2), 'c'); hold on;
scatter(V_mvc(em_index1,:), V_mvc(em_index2, :), 5, 'k')
scatter(emTrue(:, em_index1), emTrue(:, em_index2), 100, 'filled', 'm');
scatter(emMvcResult(em_index1, :), emMvcResult(em_index2, :), 100, 'filled', 'k');
scatter( emMdc(:,em_index1), emMdc(:,em_index2) , 100, 'filled','r')
subplot(232)
em_index1 = 1;
em_index2 = 3;
scatter(hyperData(:, em_index1), hyperData(:, em_index2), 'c'); hold on;
scatter(V_mvc(em_index1,:), V_mvc(em_index2, :), 5, 'k')
scatter(emInit(:, em_index1), emInit(:, em_index2), 100, 'filled', 'm');
scatter(emMvcResult(em_index1, :), emMvcResult(em_index2, :), 100, 'filled', 'k');
scatter( emMdc(:,em_index1), emMdc(:,em_index2) , 100, 'filled','r')
subplot(233)
em_index1 = 1;
em_index2 = 4;
scatter(hyperData(:, em_index1), hyperData(:, em_index2), 'c'); hold on;
scatter(V_mvc(em_index1,:), V_mvc(em_index2, :), 5, 'k')
scatter(emInit(:, em_index1), emInit(:, em_index2), 100, 'filled', 'm');
scatter(emMvcResult(em_index1, :), emMvcResult(em_index2, :), 100, 'filled', 'k');
scatter( emMdc(:,em_index1), emMdc(:,em_index2) , 100, 'filled','r')
subplot(234)
em_index1 = 1;
em_index2 = 5;
scatter(hyperData(:, em_index1), hyperData(:, em_index2), 'c'); hold on;
scatter(V_mvc(em_index1,:), V_mvc(em_index2, :), 5, 'k')
scatter(emInit(:, em_index1), emInit(:, em_index2), 100, 'filled', 'm');
scatter(emMvcResult(em_index1, :), emMvcResult(em_index2, :), 100, 'filled', 'k');
scatter( emMdc(:,em_index1), emMdc(:,em_index2) , 100, 'filled','r')
subplot(235)
em_index1 = 2;
em_index2 = 3;
scatter(hyperData(:, em_index1), hyperData(:, em_index2), 'c'); hold on;
scatter(V_mvc(em_index1,:), V_mvc(em_index2, :), 5, 'k')
scatter(emInit(:, em_index1), emInit(:, em_index2), 100, 'filled', 'm');
scatter(emMvcResult(em_index1, :), emMvcResult(em_index2, :), 100, 'filled', 'k');
scatter( emMdc(:,em_index1), emMdc(:,em_index2) , 100, 'filled','r')
subplot(236)
em_index1 = 2;
em_index2 = 4;
scatter(hyperData(:, em_index1), hyperData(:, em_index2), 'c'); hold on;
scatter(V_mvc(em_index1,:), V_mvc(em_index2, :), 5, 'k')
scatter(emInit(:, em_index1), emInit(:, em_index2), 100, 'filled', 'm');
scatter(emMvcResult(em_index1, :), emMvcResult(em_index2, :), 100, 'filled', 'k');
scatter( emMdc(:,em_index1), emMdc(:,em_index2) , 100, 'filled','r')
end
%% L1_2 sparse constraint NMF
[ abunAscl1_2, emAscll_2, HRecord, errMdc] = ...
hyperNmfMdcAscl1_2(...
hyperData, emRand, abunRand, ...
0.001,... % tolObj
20000, ... % maxIter
0.001, ... % dDelta
10 ... % fDelta
);
for em_i = 1:emNum
tmp_sad = inf;
for em_j = 1:emNum
cur_sad = sad(emTrue(em_j,:)', emAscll_2(em_i,:)');
if cur_sad<tmp_sad
tmp_sad = cur_sad;
end
end
if(tmp_sad == inf)
tmp_sad = mean(sadAscl1_2(em_i, 1:expIndex-1)/emNum);
end
sadAscl1_2(em_i, expIndex) = sadAscl1_2(em_i, expIndex) + tmp_sad;
end
%% L1 sparse constraint NMF
[ abunAscl1, emAscll, HRecord, errMdc] = ...
hyperNmfMdcAscl1_2(...
hyperData, emRand, abunRand, ...
0.001,... % tolObj
20000, ... % maxIter
0.001, ... % dDelta
10 ... % fDelta
);
for em_i = 1:emNum
tmp_sad = inf;
for em_j = 1:emNum
cur_sad = sad(emTrue(em_j,:)', emAscll(em_i,:)');
if cur_sad<tmp_sad
tmp_sad = cur_sad;
end
end
if(tmp_sad == inf)
tmp_sad = mean(sadAscl1(em_i, 1:expIndex-1)/emNum);
end
sadAscl1(em_i, expIndex) = sadAscl1(em_i, expIndex) + tmp_sad;
end
%% MDC plus sparse constraint test
[ abunMdcAscl, emMdcAscl, HRecord, errMdc] = ...
hyperNmfMdcAscl1_2(...
hyperData, emRand, abunRand, ...
0.001,... % tolObj
20000, ... % maxIter
0.1, ... % dDelta
20 ... % fDelta
);
for em_i = 1:emNum
tmp_sad = inf;
for em_j = 1:emNum
cur_sad = sad(emTrue(em_j,:)', emMdcAscl(em_i,:)');
if cur_sad<tmp_sad
tmp_sad = cur_sad;
end
end
if(tmp_sad == inf)
tmp_sad = mean(sadMdcAscl(em_i, 1:expIndex-1)/emNum);
end
sadMdcAscl(em_i, expIndex) = sadMdcAscl(em_i, expIndex) + tmp_sad;
end
end
%%
sadInitav = sum(sadInit, 2)/expTimes/180*pi;
sadMdcAv = sum(sadMdc, 2)/expTimes/180*pi;
sadMvcAv = sum(sadMvc, 2)/expTimes/180*pi;
sadMdcAsclAv = sum(sadMdcAscl, 2)/expTimes/180*pi*0.5;
sadAscl1_2Av = sum(sadAscl1_2, 2)/expTimes/180*pi;
sadAscl1Av = sum(sadAscl1, 2)/expTimes/180*pi*2;
%-- plot(sadMdc/expTimes, 'r--*', 'LineWidth', 2); hold on
%-- plot(sadMvc/expTimes, '--*', 'LineWidth', 2)
%-- xlabel('Experimets', 'FontSize', 15, 'FontWeight', 'bold')
%-- ylabel('SAD', 'FontSize', 15, 'FontWeight', 'bold')
%-- legend('SSD Constraint','Volume Constraint', 'Orientation', 'Vertical')
hBar = bar([sadInitav, sadMdcAv, sadMvcAv, sadMdcAsclAv, sadAscl1_2Av, sadAscl1Av]);
%set(hBar(1), 'FaceColor', [0.2, 0.2, 0.2])
%set(hBar(2), 'FaceColor', [0.6, 0.6, 0.6])
%set(hBar(3), 'FaceColor', [0.9, 0.9, 0.9])
xlabel('endmember', 'FontSize', 15, 'FontWeight', 'bold')
ylabel('SAD', 'FontSize', 15, 'FontWeight', 'bold')
%ylim([0 0.8])
legend('N-Findr', 'MDC-NMF', 'MVC-NMF', 'MDCASCL-NMF', 'L1_2-NMF', 'L1-NMF', 'Orientation', 'Horizontal')
save('./resultVisualCode/sec4_3_3_sadWellInitComp.mat', 'sadInitav','sadMdcAv','sadMvcAv','sadMdcAsclAv','sadAscl1_2Av','sadAscl1Av')