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demo_real_video_tracking_completion.m
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%% This demo shows the effectiveness of ACP and ATD for online video completion
clear;clc
run_path;
%% Data
load X_Lobby.mat
%% Missing
sampling = 0.9;
tensor_dim = size(X_video);
Omega = rand(tensor_dim);
Omega = 1 .* (Omega <= sampling);
Noise = randn(tensor_dim);
fac = 0;
X_miss = Omega .* (X_video + fac*Noise);
%% Inputs
tucker_rank = [10 10 10]; % [15 15 15]; %
R_CP = 10;
OPTS.lambda = 0.9;
OPTS.Xtrue = X_video;
disp('Processing ....')
%% Algorithms
%% Ours
t_start = tic;
[PER_ATD,Xre_ATD] = ATD_Video(X_miss,Omega,tucker_rank,OPTS);
t_end = toc(t_start);
fprintf('+ ATD (2021): %f(s)\n',t_end)
%% Ours
t_start = tic;
[PER_ACP,Xre_ACP] = ACP_Video(X_miss,Omega,R_CP,OPTS);
t_end = toc(t_start);
fprintf('+ ACP (2021): %f(s)\n',t_end)
%% TESGD (2015)
maxepochs = 1;
verbose = 2;
tolcost = 1e-8;
permute_on = false;
clear options;
options.maxepochs = maxepochs;
options.tolcost = tolcost;
options.permute_on = permute_on;
options.stepsize = 0.1;
options.lambda = 0.001; % Forgetting paramter
options.mu = 0.01; % Regualization paramter
options.tw_flag = 0; % 0:Exponential Window, 1:Truncated Window (TW)
options.tw_len = 10; % Window length for Truncated Window (TW) algorithm
options.store_subinfo = true;
options.store_matrix = false;
options.verbose = verbose;
t_start = tic;
[PER_TeCPSGD,Xre_TeCPSGD] = TeCPSGD_Video(X_miss,Omega,R_CP,options,OPTS);
t_end = toc(t_start);
fprintf('+ TeSGD (2015): %f(s)\n',t_end)
%% OLSTEC (2019)
clear options;
options.maxepochs = maxepochs;
options.tolcost = tolcost;
options.permute_on = permute_on;
options.lambda = 0.7; % Forgetting paramter
options.mu = 0.1; % Regualization paramter
options.tw_flag = 0; % 0:Exponential Window, 1:Truncated Window (TW)
options.tw_len = 10; % Window length for Truncated Window (TW) algorithm
options.store_subinfo = true;
options.store_matrix = false;
options.verbose = verbose;
t_start = tic;
[PER_OLSTEC,Xre_OLSTEC] = OLSTEC_Video(X_miss,Omega,R_CP,options,OPTS);
t_end = toc(t_start);
fprintf('+ OLSTEC (2019): %f(s)\n',t_end)
%% CP-PETRELS
t_start = tic;
[PER_PETRELS,Xre_PETRELS] = PETRELS_SOAP_Video(X_miss,Omega,R_CP,OPTS);
t_end = toc(t_start);
fprintf('+ CP-PETRELS: %f(s)\n',t_end)
%% Test
t = 500;
X_t = X_video(:,:,t);
Xmiss_t = X_miss(:,:,t);
Xret_ATD = Xre_ATD(:,:,t);
Xret_ACP = Xre_ACP(:,:,t);
Xret_TeCPSGD = Xre_TeCPSGD(:,:,t);
Xret_OLSTEC = Xre_OLSTEC(:,:,t);
Xret_PETRELS = Xre_PETRELS(:,:,t);
%
figure;
subplot(231); imagesc(Xmiss_t);axis off;
subplot(232); imagesc(Xret_ACP);axis off
subplot(233); imagesc(Xret_ATD);axis off
subplot(234); imagesc(Xret_TeCPSGD);axis off
subplot(235); imagesc(Xret_OLSTEC);axis off
subplot(236); imagesc(Xret_PETRELS);axis off
colormap('gray');
%% PLOT
makerSize = 14;
numbMarkers = 50;
LineWidth = 2;
set(0, 'defaultTextInterpreter', 'latex');
color = get(groot,'DefaultAxesColorOrder');
red_o = [1,0,0];
blue_o = [0, 0, 1];
gree_o = [0, 0.5, 0];
black_o = [0.25, 0.25, 0.25];
blue_n = color(1,:);
oran_n = color(2,:);
yell_n = color(3,:);
viol_n = color(4,:);
gree_n = color(5,:);
lblu_n = color(6,:);
brow_n = color(7,:);
lbrow_n = [0.5350 0.580 0.2840];
%%
K = tensor_dim(end);
fig = figure;
hold on;
k = 5;
step = 200;
d2 = semilogy(1:k:K,PER_TeCPSGD(1:k:end),...
'linestyle','-','color','g','LineWidth',LineWidth);
d21 = plot(1:step:K,PER_TeCPSGD(1:step:end),...
'marker','h','markersize',makerSize,...
'linestyle','none','color','g','LineWidth',LineWidth);
d22 = semilogy(1:1,PER_TeCPSGD(1:1),...
'marker','h','markersize',makerSize,...
'linestyle','-','color','g','LineWidth',LineWidth);
d3 = semilogy(1:k:K,PER_PETRELS(1:k:end),...
'linestyle','-','color',viol_n,'LineWidth',LineWidth);
d31 = plot(1:step:K,PER_PETRELS(1:step:end),...
'marker','^','markersize',makerSize,...
'linestyle','none','color',viol_n,'LineWidth',LineWidth);
d32 = semilogy(1:1,PER_PETRELS(1:1),...
'marker','^','markersize',makerSize,...
'linestyle','-','color',viol_n,'LineWidth',LineWidth);
d4 = semilogy(1:k:K,PER_OLSTEC(1:k:end),...
'linestyle','-','color',blue_n,'LineWidth',LineWidth);
d41 = plot(1:step:K,PER_OLSTEC(1:step:end),...
'marker','d','markersize',makerSize,...
'linestyle','none','color',blue_n,'LineWidth',LineWidth);
d42 = semilogy(1:1,PER_OLSTEC(1:1),...
'marker','d','markersize',makerSize,...
'linestyle','-','color',blue_n,'LineWidth',LineWidth);
d0 = semilogy(1:k:K,PER_ACP(1:k:end),...
'linestyle','-','color',blue_o,'LineWidth',LineWidth);
d01 = plot(1:step:K,PER_ACP(1:step:end),...
'marker','o','markersize',makerSize,...
'linestyle','none','color',blue_o,'LineWidth',LineWidth);
d02 = semilogy(1:1,PER_ACP(1:1),...
'marker','o','markersize',makerSize,...
'linestyle','-','color',blue_o,'LineWidth',LineWidth);
d1 = semilogy(1:k:K,PER_ATD(1:k:end),...
'linestyle','-','color',red_o,'LineWidth',LineWidth);
d11 = plot(1:step:K,PER_ATD(1:step:end),...
'marker','p','markersize',makerSize,...
'linestyle','none','color',red_o,'LineWidth',LineWidth);
d12 = semilogy(1:1,PER_ATD(1:1),...
'marker','p','markersize',makerSize,...
'linestyle','-','color',red_o,'LineWidth',LineWidth);
lgd = legend([d22 d42 d32 d02 d12],'TeCPSGD','OLSTEC','CP-PETRELS','ACP (Proposed)','ATD (Proposed)');
lgd.FontSize = 18;
set(lgd, 'Interpreter', 'latex', 'Color', [0.95, 0.95, 0.95]);
xlabel('Frame Index','interpreter','latex','FontSize',13,'FontName','Times New Roman');
ylabel('RE $(\mathbf{X}_t, \mathbf{X}_{true})$','interpreter','latex','FontSize',13,'FontName','Times New Roman');
set(fig, 'units', 'inches', 'position', [0.5 0.5 8 7]);
h=gca;
set(gca, 'YScale', 'log')
set(h,'FontSize',16,'XGrid','on','YGrid','on','GridLineStyle','-','MinorGridLineStyle','-','FontName','Times New Roman');
set(h,'Xtick',0:300:K,'FontSize',16,'XGrid','on','YGrid','on','GridLineStyle',':','MinorGridLineStyle','none',...
'FontName','Times New Roman');
set(h,'FontSize', 22);
grid on;
box on;
axis([1 K 5e-2 2])
%