From 7aeab0fad1c60fe959ebd20814721060380810ca Mon Sep 17 00:00:00 2001 From: Antonio Date: Mon, 19 Apr 2021 12:45:42 +0200 Subject: [PATCH] refactoring --- LAB2_2/Assignment1/hopfield.asv | 337 ----------------- LAB2_2/Assignment1/hopfield.m | 348 ++++-------------- .../images/distorted_0_0.05_energy.png | Bin 0 -> 19653 bytes .../images/distorted_0_0.05_overlap.png | Bin 0 -> 35477 bytes .../images/distorted_0_0.05_reconstructed.png | Bin 0 -> 17445 bytes .../images/distorted_0_0.10_energy.png | Bin 0 -> 21502 bytes .../images/distorted_0_0.10_overlap.png | Bin 0 -> 30624 bytes .../images/distorted_0_0.10_reconstructed.png | Bin 0 -> 17414 bytes .../images/distorted_0_0.25_energy.png | Bin 0 -> 20961 bytes .../images/distorted_0_0.25_overlap.png | Bin 0 -> 33621 bytes .../images/distorted_0_0.25_reconstructed.png | Bin 0 -> 17963 bytes .../images/distorted_0_1_energy.png | Bin 24755 -> 0 bytes .../images/distorted_0_1_overlap.png | Bin 33962 -> 0 bytes .../images/distorted_0_1_reconstructed.png | Bin 16555 -> 0 bytes .../images/distorted_0_2_energy.png | Bin 19961 -> 0 bytes .../images/distorted_0_2_overlap.png | Bin 29446 -> 0 bytes .../images/distorted_0_2_reconstructed.png | Bin 16815 -> 0 bytes .../images/distorted_0_3_energy.png | Bin 19137 -> 0 bytes .../images/distorted_0_3_overlap.png | Bin 32005 -> 0 bytes .../images/distorted_0_3_reconstructed.png | Bin 17178 -> 0 bytes .../images/distorted_1_0.05_energy.png | Bin 0 -> 21272 bytes .../images/distorted_1_0.05_overlap.png | Bin 0 -> 35736 bytes .../images/distorted_1_0.05_reconstructed.png | Bin 0 -> 17724 bytes .../images/distorted_1_0.10_energy.png | Bin 0 -> 23349 bytes .../images/distorted_1_0.10_overlap.png | Bin 0 -> 30861 bytes .../images/distorted_1_0.10_reconstructed.png | Bin 0 -> 17719 bytes .../images/distorted_1_0.25_energy.png | Bin 0 -> 21942 bytes .../images/distorted_1_0.25_overlap.png | Bin 0 -> 34815 bytes .../images/distorted_1_0.25_reconstructed.png | Bin 0 -> 18503 bytes .../images/distorted_1_1_energy.png | Bin 18721 -> 0 bytes .../images/distorted_1_1_overlap.png | Bin 34154 -> 0 bytes .../images/distorted_1_1_reconstructed.png | Bin 16722 -> 0 bytes .../images/distorted_1_2_energy.png | Bin 21454 -> 0 bytes .../images/distorted_1_2_overlap.png | Bin 30140 -> 0 bytes .../images/distorted_1_2_reconstructed.png | Bin 16971 -> 0 bytes .../images/distorted_1_3_energy.png | Bin 19014 -> 0 bytes .../images/distorted_1_3_overlap.png | Bin 32333 -> 0 bytes .../images/distorted_1_3_reconstructed.png | Bin 17400 -> 0 bytes .../images/distorted_2_0.05_energy.png | Bin 0 -> 24657 bytes .../images/distorted_2_0.05_overlap.png | Bin 0 -> 33880 bytes .../images/distorted_2_0.05_reconstructed.png | Bin 0 -> 17440 bytes .../images/distorted_2_0.10_energy.png | Bin 0 -> 22532 bytes .../images/distorted_2_0.10_overlap.png | Bin 0 -> 30762 bytes .../images/distorted_2_0.10_reconstructed.png | Bin 0 -> 17443 bytes .../images/distorted_2_0.25_energy.png | Bin 0 -> 21359 bytes .../images/distorted_2_0.25_overlap.png | Bin 0 -> 34188 bytes .../images/distorted_2_0.25_reconstructed.png | Bin 0 -> 18016 bytes .../images/distorted_2_1_energy.png | Bin 23271 -> 0 bytes .../images/distorted_2_1_overlap.png | Bin 32938 -> 0 bytes .../images/distorted_2_1_reconstructed.png | Bin 16408 -> 0 bytes .../images/distorted_2_2_energy.png | Bin 20635 -> 0 bytes .../images/distorted_2_2_overlap.png | Bin 29108 -> 0 bytes .../images/distorted_2_2_reconstructed.png | Bin 16641 -> 0 bytes .../images/distorted_2_3_energy.png | Bin 18929 -> 0 bytes .../images/distorted_2_3_overlap.png | Bin 31868 -> 0 bytes .../images/distorted_2_3_reconstructed.png | Bin 16960 -> 0 bytes 56 files changed, 63 insertions(+), 622 deletions(-) delete mode 100644 LAB2_2/Assignment1/hopfield.asv create mode 100644 LAB2_2/Assignment1/images/distorted_0_0.05_energy.png create mode 100644 LAB2_2/Assignment1/images/distorted_0_0.05_overlap.png create mode 100644 LAB2_2/Assignment1/images/distorted_0_0.05_reconstructed.png create mode 100644 LAB2_2/Assignment1/images/distorted_0_0.10_energy.png create mode 100644 LAB2_2/Assignment1/images/distorted_0_0.10_overlap.png create mode 100644 LAB2_2/Assignment1/images/distorted_0_0.10_reconstructed.png create mode 100644 LAB2_2/Assignment1/images/distorted_0_0.25_energy.png create mode 100644 LAB2_2/Assignment1/images/distorted_0_0.25_overlap.png create mode 100644 LAB2_2/Assignment1/images/distorted_0_0.25_reconstructed.png delete mode 100644 LAB2_2/Assignment1/images/distorted_0_1_energy.png delete mode 100644 LAB2_2/Assignment1/images/distorted_0_1_overlap.png delete mode 100644 LAB2_2/Assignment1/images/distorted_0_1_reconstructed.png delete mode 100644 LAB2_2/Assignment1/images/distorted_0_2_energy.png delete mode 100644 LAB2_2/Assignment1/images/distorted_0_2_overlap.png delete mode 100644 LAB2_2/Assignment1/images/distorted_0_2_reconstructed.png delete mode 100644 LAB2_2/Assignment1/images/distorted_0_3_energy.png delete mode 100644 LAB2_2/Assignment1/images/distorted_0_3_overlap.png delete mode 100644 LAB2_2/Assignment1/images/distorted_0_3_reconstructed.png create mode 100644 LAB2_2/Assignment1/images/distorted_1_0.05_energy.png create mode 100644 LAB2_2/Assignment1/images/distorted_1_0.05_overlap.png create mode 100644 LAB2_2/Assignment1/images/distorted_1_0.05_reconstructed.png create mode 100644 LAB2_2/Assignment1/images/distorted_1_0.10_energy.png create mode 100644 LAB2_2/Assignment1/images/distorted_1_0.10_overlap.png create mode 100644 LAB2_2/Assignment1/images/distorted_1_0.10_reconstructed.png create mode 100644 LAB2_2/Assignment1/images/distorted_1_0.25_energy.png create mode 100644 LAB2_2/Assignment1/images/distorted_1_0.25_overlap.png create mode 100644 LAB2_2/Assignment1/images/distorted_1_0.25_reconstructed.png delete mode 100644 LAB2_2/Assignment1/images/distorted_1_1_energy.png delete mode 100644 LAB2_2/Assignment1/images/distorted_1_1_overlap.png delete mode 100644 LAB2_2/Assignment1/images/distorted_1_1_reconstructed.png delete mode 100644 LAB2_2/Assignment1/images/distorted_1_2_energy.png delete mode 100644 LAB2_2/Assignment1/images/distorted_1_2_overlap.png delete mode 100644 LAB2_2/Assignment1/images/distorted_1_2_reconstructed.png delete mode 100644 LAB2_2/Assignment1/images/distorted_1_3_energy.png delete mode 100644 LAB2_2/Assignment1/images/distorted_1_3_overlap.png delete mode 100644 LAB2_2/Assignment1/images/distorted_1_3_reconstructed.png create mode 100644 LAB2_2/Assignment1/images/distorted_2_0.05_energy.png create mode 100644 LAB2_2/Assignment1/images/distorted_2_0.05_overlap.png create mode 100644 LAB2_2/Assignment1/images/distorted_2_0.05_reconstructed.png create mode 100644 LAB2_2/Assignment1/images/distorted_2_0.10_energy.png create mode 100644 LAB2_2/Assignment1/images/distorted_2_0.10_overlap.png create mode 100644 LAB2_2/Assignment1/images/distorted_2_0.10_reconstructed.png create mode 100644 LAB2_2/Assignment1/images/distorted_2_0.25_energy.png create mode 100644 LAB2_2/Assignment1/images/distorted_2_0.25_overlap.png create mode 100644 LAB2_2/Assignment1/images/distorted_2_0.25_reconstructed.png delete mode 100644 LAB2_2/Assignment1/images/distorted_2_1_energy.png delete mode 100644 LAB2_2/Assignment1/images/distorted_2_1_overlap.png delete mode 100644 LAB2_2/Assignment1/images/distorted_2_1_reconstructed.png delete mode 100644 LAB2_2/Assignment1/images/distorted_2_2_energy.png delete mode 100644 LAB2_2/Assignment1/images/distorted_2_2_overlap.png delete mode 100644 LAB2_2/Assignment1/images/distorted_2_2_reconstructed.png delete mode 100644 LAB2_2/Assignment1/images/distorted_2_3_energy.png delete mode 100644 LAB2_2/Assignment1/images/distorted_2_3_overlap.png delete mode 100644 LAB2_2/Assignment1/images/distorted_2_3_reconstructed.png diff --git a/LAB2_2/Assignment1/hopfield.asv b/LAB2_2/Assignment1/hopfield.asv deleted file mode 100644 index cdb60e5..0000000 --- a/LAB2_2/Assignment1/hopfield.asv +++ /dev/null @@ -1,337 +0,0 @@ -% Hopfield model -% - -load('lab2_2_data'); -set(groot,'defaultFigureVisible','off'); - -% distorted images of pattern 0 -d_0_1_orig = distort_image(p0,0.05); -d_0_2_orig = distort_image(p0,0.1); -d_0_3_orig = distort_image(p0,0.25); -% distorted images of pattern 1 -d_1_1_orig = distort_image(p1,0.05); -d_1_2_orig = distort_image(p1,0.1); -d_1_3_orig = distort_image(p1,0.25); -% distorted images of pattern 2 -d_2_1_orig = distort_image(p2,0.05); -d_2_2_orig = distort_image(p2,0.1); -d_2_3_orig = distort_image(p2,0.25); -%imagesc([reshape(d_0_1,32,32) reshape(d_0_2,32,32) reshape(d_0_3,32,32)]); -eps = 1; - -% (1) storage phase (learning) -P = [p0';p1';p2']; -W = 1/1024 * (P' * P); -for i=1:1024 - W(i,i) = 0; -end -I = ones(1024,1)*0.5; % bias - -% (2) retrieval phase -% (2.1) initialization -d_0_1 = d_0_1_orig; d_0_1_overlap = []; d_0_1_energy = []; -d_0_2 = d_0_2_orig; d_0_2_overlap = []; d_0_2_energy = []; -d_0_3 = d_0_3_orig; d_0_3_overlap = []; d_0_3_energy = []; - -d_1_1 = d_1_1_orig; d_1_1_overlap = []; d_1_1_energy = []; -d_1_2 = d_1_2_orig; d_1_2_overlap = []; d_1_2_energy = []; -d_1_3 = d_1_3_orig; d_1_3_overlap = []; d_1_3_energy = []; - -d_2_1 = d_2_1_orig; d_2_1_overlap = []; d_2_1_energy = []; -d_2_2 = d_2_2_orig; d_2_2_overlap = []; d_2_2_energy = []; -d_2_3 = d_2_3_orig; d_2_3_overlap = []; d_2_3_energy = []; - -% (2.2) iteration until convergence -n_epochs = 2; -for t=1:n_epochs - % (2.3) choose i random neuron - for i=randperm(1024) - % pattern 0 - d_0_1(i) = sign(W(i,:) * d_0_1); - d_0_1_overlap = horzcat(d_0_1_overlap,[overlap(p0, d_0_1) overlap(p1, d_0_1) overlap(p2, d_0_1)]'); - d_0_1_energy(end+1) = energy(W, d_0_1); - - d_0_2(i) = sign(W(i,:) * d_0_2); - d_0_2_overlap = horzcat(d_0_2_overlap,[overlap(p0, d_0_2) overlap(p1, d_0_2) overlap(p2, d_0_2)]'); - d_0_2_energy(end+1) = energy(W, d_0_2); - - d_0_3(i) = sign(W(i,:) * d_0_3); - d_0_3_overlap = horzcat(d_0_3_overlap,[overlap(p0, d_0_3) overlap(p1, d_0_3) overlap(p2, d_0_3)]'); - d_0_3_energy(end+1) = energy(W, d_0_3); - end - fprintf("Epoch: %d/%d \n",t,n_epochs); - %fprintf("Epoch: %d/%d, overlap=%f, energy=%f, humming distance=%d \n",t,n_epochs,d_0_1_overlap(end),d_0_1_energy(end),d_0_1_hd(end)); -end - -for t=1:n_epochs - % (2.3) choose i random neuron - for i=randperm(1024) - % pattern 1 - d_1_1(i) = sign(W(i,:) * d_1_1); - d_1_1_overlap = horzcat(d_1_1_overlap,[overlap(p0, d_1_1) overlap(p1, d_1_1) overlap(p2, d_1_1)]'); - d_1_1_energy(end+1) = energy(W, d_1_1); - - d_1_2(i) = sign(W(i,:) * d_1_2); - d_1_2_overlap = horzcat(d_1_2_overlap,[overlap(p0, d_1_2) overlap(p1, d_1_2) overlap(p2, d_1_2)]'); - d_1_2_energy(end+1) = energy(W, d_1_2); - - d_1_3(i) = sign(W(i,:) * d_1_3); - d_1_3_overlap = horzcat(d_1_3_overlap,[overlap(p0, d_1_3) overlap(p1, d_1_3) overlap(p2, d_1_3)]'); - d_1_3_energy(end+1) = energy(W, d_1_3); - end - fprintf("Epoch: %d/%d \n",t,n_epochs); - %fprintf("Epoch: %d/%d, overlap=%f, energy=%f, humming distance=%d \n",t,n_epochs,d_0_1_overlap(end),d_0_1_energy(end),d_0_1_hd(end)); -end - -for t=1:n_epochs - % (2.3) choose i random neuron - for i=randperm(1024) - % pattern 2 - d_2_1(i) = sign(W(i,:) * d_2_1); - d_2_1_overlap = horzcat(d_2_1_overlap,[overlap(p0, d_2_1) overlap(p1, d_2_1) overlap(p2, d_2_1)]'); - d_2_1_energy(end+1) = energy(W, d_2_1); - - d_2_2(i) = sign(W(i,:) * d_2_2); - d_2_2_overlap = horzcat(d_2_2_overlap,[overlap(p0, d_2_2) overlap(p1, d_2_2) overlap(p2, d_2_2)]'); - d_2_2_energy(end+1) = energy(W, d_2_2); - - d_2_3(i) = sign(W(i,:) * d_2_3); - d_2_3_overlap = horzcat(d_2_3_overlap,[overlap(p0, d_2_3) overlap(p1, d_2_3) overlap(p2, d_2_3)]'); - d_2_3_energy(end+1) = energy(W, d_2_3); - end - fprintf("Epoch: %d/%d \n",t,n_epochs); - %fprintf("Epoch: %d/%d, overlap=%f, energy=%f, humming distance=%d \n",t,n_epochs,d_0_1_overlap(end),d_0_1_energy(end),d_0_1_hd(end)); -end - - - - -fprintf('Saving figures . . . '); -% plots pattern 0 (d_0_1) -fig = figure; -hold on; -plot((1:size(d_0_1_overlap,2)),d_0_1_overlap(1,:)); -plot((1:size(d_0_1_overlap,2)),d_0_1_overlap(2,:)); -plot((1:size(d_0_1_overlap,2)),d_0_1_overlap(3,:)); -title('Overlaps (pattern 0)'); -xlabel('ticks') -ylabel('overlap function'); -legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); -print(fig,'images/distorted_0_1_overlap.png','-dpng'); -hold off; -fig = figure; -plot((1:size(d_0_1_energy,2)),d_0_1_energy(1,:)); -title('Energy (pattern 0)'); -xlabel('ticks') -ylabel('energy'); -print(fig,'images/distorted_0_1_energy.png','-dpng'); -fig = figure; -imagesc([reshape(d_0_1_orig,32,32) reshape(d_0_1,32,32)]) -title(sprintf('Pattern 0 reconstructed (hamming distance=%d)',hamming_distance(d_0_1, p0))); -print(fig,'images/distorted_0_1_reconstructed.png','-dpng'); - -% plots pattern 0 (d_0_2) -fig = figure; -hold on; -plot((1:size(d_0_2_overlap,2)),d_0_2_overlap(1,:)); -plot((1:size(d_0_2_overlap,2)),d_0_2_overlap(2,:)); -plot((1:size(d_0_2_overlap,2)),d_0_2_overlap(3,:)); -title('Overlaps (pattern 0)'); -xlabel('ticks') -ylabel('overlap function'); -legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); -print(fig,'images/distorted_0_2_overlap.png','-dpng'); -hold off; -fig = figure; -plot((1:size(d_0_2_energy,2)),d_0_2_energy(1,:)); -title('Energy (pattern 0)'); -xlabel('ticks') -ylabel('energy'); -print(fig,'images/distorted_0_2_energy.png','-dpng'); -fig = figure; -imagesc([reshape(d_0_2_orig,32,32) reshape(d_0_2,32,32)]) -title(sprintf('Pattern 0 reconstructed (hamming distance=%d)',hamming_distance(d_0_2, p0))); -print(fig,'images/distorted_0_2_reconstructed.png','-dpng'); - -% plots pattern 0 (d_0_3) -fig = figure; -hold on; -plot((1:size(d_0_3_overlap,2)),d_0_3_overlap(1,:)); -plot((1:size(d_0_3_overlap,2)),d_0_3_overlap(2,:)); -plot((1:size(d_0_3_overlap,2)),d_0_3_overlap(3,:)); -title('Overlaps (pattern 0)'); -xlabel('ticks') -ylabel('overlap function'); -legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); -print(fig,'images/distorted_0_3_overlap.png','-dpng'); -hold off; -fig = figure; -plot((1:size(d_0_3_energy,2)),d_0_3_energy(1,:)); -title('Energy (pattern 0)'); -xlabel('ticks') -ylabel('energy'); -print(fig,'images/distorted_0_3_energy.png','-dpng'); -fig = figure; -imagesc([reshape(d_0_3_orig,32,32) reshape(d_0_3,32,32)]) -title(sprintf('Pattern 0 reconstructed (hamming distance=%d)',hamming_distance(d_0_3, p0))); -print(fig,'images/distorted_0_3_reconstructed.png','-dpng'); - -% plots pattern 1 (d_1_1) -fig = figure; -hold on; -plot((1:size(d_1_1_overlap,2)),d_1_1_overlap(1,:)); -plot((1:size(d_1_1_overlap,2)),d_1_1_overlap(2,:)); -plot((1:size(d_1_1_overlap,2)),d_1_1_overlap(3,:)); -title('Overlaps (pattern 1)'); -xlabel('ticks') -ylabel('overlap function'); -legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); -print(fig,'images/distorted_1_1_overlap.png','-dpng'); -hold off; -fig = figure; -plot((1:size(d_1_1_energy,2)),d_1_1_energy(1,:)); -title('Energy (pattern 1)'); -xlabel('ticks') -ylabel('energy'); -print(fig,'images/distorted_1_1_energy.png','-dpng'); -fig = figure; -imagesc([reshape(d_1_1_orig,32,32) reshape(d_1_1,32,32)]) -title(sprintf('Pattern 1 reconstructed (hamming distance=%d)',hamming_distance(d_1_1, p1))); -print(fig,'images/distorted_1_1_reconstructed.png','-dpng'); - -% plots pattern 1 (d_1_2) -fig = figure; -hold on; -plot((1:size(d_1_2_overlap,2)),d_1_2_overlap(1,:)); -plot((1:size(d_1_2_overlap,2)),d_1_2_overlap(2,:)); -plot((1:size(d_1_2_overlap,2)),d_1_2_overlap(3,:)); -title('Overlaps (pattern 1)'); -xlabel('ticks') -ylabel('overlap function'); -legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); -print(fig,'images/distorted_1_2_overlap.png','-dpng'); -hold off; -fig = figure; -plot((1:size(d_1_2_energy,2)),d_1_2_energy(1,:)); -title('Energy (pattern 1)'); -xlabel('ticks') -ylabel('energy'); -print(fig,'images/distorted_1_2_energy.png','-dpng'); -fig = figure; -imagesc([reshape(d_1_2_orig,32,32) reshape(d_1_2,32,32)]) -title(sprintf('Pattern 1 reconstructed (hamming distance=%d)',hamming_distance(d_1_2, p1))); -print(fig,'images/distorted_1_2_reconstructed.png','-dpng'); - -% plots pattern 1 (d_1_3) -fig = figure; -hold on; -plot((1:size(d_1_3_overlap,2)),d_1_3_overlap(1,:)); -plot((1:size(d_1_3_overlap,2)),d_1_3_overlap(2,:)); -plot((1:size(d_1_3_overlap,2)),d_1_3_overlap(3,:)); -title('Overlaps (pattern 1)'); -xlabel('ticks') -ylabel('overlap function'); -legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); -print(fig,'images/distorted_1_3_overlap.png','-dpng'); -hold off; -fig = figure; -plot((1:size(d_1_3_energy,2)),d_1_3_energy(1,:)); -title('Energy (pattern 1)'); -xlabel('ticks') -ylabel('energy'); -print(fig,'images/distorted_1_3_energy.png','-dpng'); -fig = figure; -imagesc([reshape(d_1_3_orig,32,32) reshape(d_1_3,32,32)]) -title(sprintf('Pattern 1 reconstructed (hamming distance=%d)',hamming_distance(d_1_3, p1))); -print(fig,'images/distorted_1_3_reconstructed.png','-dpng'); - -% plots pattern 2 (d_2_1) -fig = figure; -hold on; -plot((1:size(d_2_1_overlap,2)),d_2_1_overlap(1,:)); -plot((1:size(d_2_1_overlap,2)),d_2_1_overlap(2,:)); -plot((1:size(d_2_1_overlap,2)),d_2_1_overlap(3,:)); -title('Overlaps (pattern 2)'); -xlabel('ticks') -ylabel('overlap function'); -legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); -print(fig,'images/distorted_2_1_overlap.png','-dpng'); -hold off; -fig = figure; -plot((1:size(d_2_1_energy,2)),d_2_1_energy(1,:)); -title('Energy (pattern 2)'); -xlabel('ticks') -ylabel('energy'); -print(fig,'images/distorted_2_1_energy.png','-dpng'); -fig = figure; -imagesc([reshape(d_2_1_orig,32,32) reshape(d_2_1,32,32)]) -title(sprintf('Pattern 2 reconstructed (hamming distance=%d)',hamming_distance(d_2_1, p2))); -print(fig,'images/distorted_2_1_reconstructed.png','-dpng'); - -% plots pattern 2 (d_2_2) -fig = figure; -hold on; -plot((1:size(d_2_2_overlap,2)),d_2_2_overlap(1,:)); -plot((1:size(d_2_2_overlap,2)),d_2_2_overlap(2,:)); -plot((1:size(d_2_2_overlap,2)),d_2_2_overlap(3,:)); -title('Overlaps (pattern 2)'); -xlabel('ticks') -ylabel('overlap function'); -legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); -print(fig,'images/distorted_2_2_overlap.png','-dpng'); -hold off; -fig = figure; -plot((1:size(d_2_2_energy,2)),d_2_2_energy(1,:)); -title('Energy (pattern 2)'); -xlabel('ticks') -ylabel('energy'); -print(fig,'images/distorted_2_2_energy.png','-dpng'); -fig = figure; -imagesc([reshape(d_2_2_orig,32,32) reshape(d_2_2,32,32)]) -title(sprintf('Pattern 2 reconstructed (hamming distance=%d)',hamming_distance(d_2_2, p2))); -print(fig,'images/distorted_2_2_reconstructed.png','-dpng'); - -% plots pattern 2 (d_2_3) -fig = figure; -hold on; -plot((1:size(d_2_3_overlap,2)),d_2_3_overlap(1,:)); -plot((1:size(d_2_3_overlap,2)),d_2_3_overlap(2,:)); -plot((1:size(d_2_3_overlap,2)),d_2_3_overlap(3,:)); -title('Overlaps (pattern 2)'); -xlabel('ticks') -ylabel('overlap function'); -legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); -print(fig,'images/distorted_2_3_overlap.png','-dpng'); -hold off; -fig = figure; -plot((1:size(d_2_3_energy,2)),d_2_3_energy(1,:)); -title('Energy (pattern 2)'); -xlabel('ticks') -ylabel('energy'); -print(fig,'images/distorted_2_3_energy.png','-dpng'); -fig = figure; -imagesc([reshape(d_2_3_orig,32,32) reshape(d_2_3,32,32)]) -title(sprintf('Pattern 2 reconstructed (hamming distance=%d)',hamming_distance(d_2_3, p2))); -print(fig,'images/distorted_2_3_reconstructed.png','-dpng'); - -fprintf('Done!\n'); - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -function m = overlap(p, x) - m = (p' * x) / 1024; -end -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -function e = energy(w, x) - e = (-1/2) * (x' * w * x) - I'*x; -end -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -function d = hamming_distance(x1, x2) - d = 0; - for i=1:1024 - if x1(i) ~= x2(i) - d = d + 1; - end - end -end \ No newline at end of file diff --git a/LAB2_2/Assignment1/hopfield.m b/LAB2_2/Assignment1/hopfield.m index d519ed7..fa0ee85 100644 --- a/LAB2_2/Assignment1/hopfield.m +++ b/LAB2_2/Assignment1/hopfield.m @@ -8,17 +8,27 @@ d_0_1_orig = distort_image(p0,0.05); d_0_2_orig = distort_image(p0,0.1); d_0_3_orig = distort_image(p0,0.25); +d_0_1 = d_0_1_orig; +d_0_2 = d_0_2_orig; +d_0_3 = d_0_3_orig; % distorted images of pattern 1 d_1_1_orig = distort_image(p1,0.05); d_1_2_orig = distort_image(p1,0.1); d_1_3_orig = distort_image(p1,0.25); +d_1_1 = d_1_1_orig; +d_1_2 = d_1_2_orig; +d_1_3 = d_1_3_orig; % distorted images of pattern 2 d_2_1_orig = distort_image(p2,0.05); d_2_2_orig = distort_image(p2,0.1); d_2_3_orig = distort_image(p2,0.25); +d_2_1 = d_2_1_orig; +d_2_2 = d_2_2_orig; +d_2_3 = d_2_3_orig; %imagesc([reshape(d_0_1,32,32) reshape(d_0_2,32,32) reshape(d_0_3,32,32)]); eps = 1; + % (1) storage phase (learning) P = [p0';p1';p2']; W = 1/1024 * (P' * P); @@ -29,300 +39,68 @@ % (2) retrieval phase % (2.1) initialization -d_0_1 = d_0_1_orig; d_0_1_overlap = []; d_0_1_energy = []; -d_0_2 = d_0_2_orig; d_0_2_overlap = []; d_0_2_energy = []; -d_0_3 = d_0_3_orig; d_0_3_overlap = []; d_0_3_energy = []; - -d_1_1 = d_1_1_orig; d_1_1_overlap = []; d_1_1_energy = []; -d_1_2 = d_1_2_orig; d_1_2_overlap = []; d_1_2_energy = []; -d_1_3 = d_1_3_orig; d_1_3_overlap = []; d_1_3_energy = []; - -d_2_1 = d_2_1_orig; d_2_1_overlap = []; d_2_1_energy = []; -d_2_2 = d_2_2_orig; d_2_2_overlap = []; d_2_2_energy = []; -d_2_3 = d_2_3_orig; d_2_3_overlap = []; d_2_3_energy = []; - -% (2.2) iteration until convergence -n_epochs = 2; -for t=1:n_epochs - % (2.3) choose i random neuron - for i=randperm(1024) - % pattern 0 - d_0_1(i) = sign(W(i,:) * d_0_1 + I(i)); - d_0_1_overlap = horzcat(d_0_1_overlap,[overlap(p0, d_0_1) overlap(p1, d_0_1) overlap(p2, d_0_1)]'); - d_0_1_energy(end+1) = energy(W, I, d_0_1); - - d_0_2(i) = sign(W(i,:) * d_0_2 + I(i)); - d_0_2_overlap = horzcat(d_0_2_overlap,[overlap(p0, d_0_2) overlap(p1, d_0_2) overlap(p2, d_0_2)]'); - d_0_2_energy(end+1) = energy(W, I, d_0_2); - - d_0_3(i) = sign(W(i,:) * d_0_3 + I(i)); - d_0_3_overlap = horzcat(d_0_3_overlap,[overlap(p0, d_0_3) overlap(p1, d_0_3) overlap(p2, d_0_3)]'); - d_0_3_energy(end+1) = energy(W, I, d_0_3); - end - fprintf("Epoch: %d/%d \n",t,n_epochs); - %fprintf("Epoch: %d/%d, overlap=%f, energy=%f, humming distance=%d \n",t,n_epochs,d_0_1_overlap(end),d_0_1_energy(end),d_0_1_hd(end)); -end - -for t=1:n_epochs - % (2.3) choose i random neuron - for i=randperm(1024) - % pattern 1 - d_1_1(i) = sign(W(i,:) * d_1_1 + I(i)); - d_1_1_overlap = horzcat(d_1_1_overlap,[overlap(p0, d_1_1) overlap(p1, d_1_1) overlap(p2, d_1_1)]'); - d_1_1_energy(end+1) = energy(W, I, d_1_1); - - d_1_2(i) = sign(W(i,:) * d_1_2 + I(i)); - d_1_2_overlap = horzcat(d_1_2_overlap,[overlap(p0, d_1_2) overlap(p1, d_1_2) overlap(p2, d_1_2)]'); - d_1_2_energy(end+1) = energy(W, I, d_1_2); - - d_1_3(i) = sign(W(i,:) * d_1_3 + I(i)); - d_1_3_overlap = horzcat(d_1_3_overlap,[overlap(p0, d_1_3) overlap(p1, d_1_3) overlap(p2, d_1_3)]'); - d_1_3_energy(end+1) = energy(W, I, d_1_3); - end - fprintf("Epoch: %d/%d \n",t,n_epochs); - %fprintf("Epoch: %d/%d, overlap=%f, energy=%f, humming distance=%d \n",t,n_epochs,d_0_1_overlap(end),d_0_1_energy(end),d_0_1_hd(end)); -end - -for t=1:n_epochs - % (2.3) choose i random neuron - for i=randperm(1024) - % pattern 2 - d_2_1(i) = sign(W(i,:) * d_2_1 + I(i)); - d_2_1_overlap = horzcat(d_2_1_overlap,[overlap(p0, d_2_1) overlap(p1, d_2_1) overlap(p2, d_2_1)]'); - d_2_1_energy(end+1) = energy(W, I, d_2_1); - - d_2_2(i) = sign(W(i,:) * d_2_2 + I(i)); - d_2_2_overlap = horzcat(d_2_2_overlap,[overlap(p0, d_2_2) overlap(p1, d_2_2) overlap(p2, d_2_2)]'); - d_2_2_energy(end+1) = energy(W, I, d_2_2); - - d_2_3(i) = sign(W(i,:) * d_2_3 + I(i)); - d_2_3_overlap = horzcat(d_2_3_overlap,[overlap(p0, d_2_3) overlap(p1, d_2_3) overlap(p2, d_2_3)]'); - d_2_3_energy(end+1) = energy(W, I, d_2_3); +O = [d_0_1_orig';d_0_2_orig';d_0_3_orig';d_1_1_orig';d_1_2_orig';d_1_3_orig';d_2_1_orig';d_2_2_orig';d_2_3_orig']; % original images +D = [d_0_1';d_0_2';d_0_3';d_1_1';d_1_2';d_1_3';d_2_1';d_2_2';d_2_3']; % distorted images +L = [[0,0.05];[0,0.10];[0,0.25];[1,0.05];[1,0.10];[1,0.25];[2,0.05];[2,0.10];[2,0.25]]; % patterns info +Ps = [p0';p0';p0';p1';p1';p1';p2';p2';p2']; + +for p=1:size(D,1) + epoch = 1; + overlaps = []; + energies = []; + pattern_num = L(p,1); + pattern_distortion = L(p,2); + energy_old = energy(W, I, D(p,:)); + % (2.2) iteration until convergence + while 1 + % (2.3) choose i random neuron + for i=randperm(1024) + D(p,i) = sign(W(i,:) * D(p,:)' + I(i)); + overlaps = horzcat(overlaps,[overlap(p0, D(p,:)) overlap(p1, D(p,:)) overlap(p2, D(p,:))]'); + energies(end+1) = energy(W, I, D(p,:)); + end + % stopping condition + energy_new = energy(W, I, D(p,:)); + fprintf('Epoch=%d, Pattern=%d, Distorsion=%0.2f, Energy=%f \n',epoch,pattern_num,pattern_distortion,energy_new); + if abs(energy_new - energy_old) < eps + break + end + energy_old = energy_new; + epoch = epoch + 1; end - fprintf("Epoch: %d/%d \n",t,n_epochs); - %fprintf("Epoch: %d/%d, overlap=%f, energy=%f, humming distance=%d \n",t,n_epochs,d_0_1_overlap(end),d_0_1_energy(end),d_0_1_hd(end)); + + disp('Saving figures . . .'); + fig = figure; + hold on; + plot((1:size(overlaps,2)),overlaps(1,:)); + plot((1:size(overlaps,2)),overlaps(2,:)); + plot((1:size(overlaps,2)),overlaps(3,:)); + title(sprintf('Overlaps (pattern=%d, distortion=%0.2f)',pattern_num,pattern_distortion)); + xlabel('ticks') + ylabel('overlap function'); + legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); + print(fig,sprintf('images/distorted_%d_%0.2f_overlap.png',pattern_num,pattern_distortion),'-dpng'); + hold off; + fig = figure; + plot((1:size(energies,2)),energies(1,:)); + title(sprintf('Energy (pattern=%d, distortion=%0.2f)',pattern_num,pattern_distortion)); + xlabel('ticks') + ylabel('energy'); + print(fig,sprintf('images/distorted_%d_%0.2f_energy.png',pattern_num,pattern_distortion),'-dpng'); + fig = figure; + imagesc([reshape(O(p,:),32,32) reshape(D(p,:),32,32)]) + title(sprintf('Pattern %d reconstructed (distortion=%0.2f, hamming distance=%d)',pattern_num,pattern_distortion,hamming_distance(D(p,:), Ps(p,:)))); + print(fig,sprintf('images/distorted_%d_%0.2f_reconstructed.png',pattern_num,pattern_distortion),'-dpng'); end -fprintf('Saving figures . . . '); -% plots pattern 0 (d_0_1) -fig = figure; -hold on; -plot((1:size(d_0_1_overlap,2)),d_0_1_overlap(1,:)); -plot((1:size(d_0_1_overlap,2)),d_0_1_overlap(2,:)); -plot((1:size(d_0_1_overlap,2)),d_0_1_overlap(3,:)); -title('Overlaps (pattern 0)'); -xlabel('ticks') -ylabel('overlap function'); -legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); -print(fig,'images/distorted_0_1_overlap.png','-dpng'); -hold off; -fig = figure; -plot((1:size(d_0_1_energy,2)),d_0_1_energy(1,:)); -title('Energy (pattern 0)'); -xlabel('ticks') -ylabel('energy'); -print(fig,'images/distorted_0_1_energy.png','-dpng'); -fig = figure; -imagesc([reshape(d_0_1_orig,32,32) reshape(d_0_1,32,32)]) -title(sprintf('Pattern 0 reconstructed (hamming distance=%d)',hamming_distance(d_0_1, p0))); -print(fig,'images/distorted_0_1_reconstructed.png','-dpng'); - -% plots pattern 0 (d_0_2) -fig = figure; -hold on; -plot((1:size(d_0_2_overlap,2)),d_0_2_overlap(1,:)); -plot((1:size(d_0_2_overlap,2)),d_0_2_overlap(2,:)); -plot((1:size(d_0_2_overlap,2)),d_0_2_overlap(3,:)); -title('Overlaps (pattern 0)'); -xlabel('ticks') -ylabel('overlap function'); -legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); -print(fig,'images/distorted_0_2_overlap.png','-dpng'); -hold off; -fig = figure; -plot((1:size(d_0_2_energy,2)),d_0_2_energy(1,:)); -title('Energy (pattern 0)'); -xlabel('ticks') -ylabel('energy'); -print(fig,'images/distorted_0_2_energy.png','-dpng'); -fig = figure; -imagesc([reshape(d_0_2_orig,32,32) reshape(d_0_2,32,32)]) -title(sprintf('Pattern 0 reconstructed (hamming distance=%d)',hamming_distance(d_0_2, p0))); -print(fig,'images/distorted_0_2_reconstructed.png','-dpng'); - -% plots pattern 0 (d_0_3) -fig = figure; -hold on; -plot((1:size(d_0_3_overlap,2)),d_0_3_overlap(1,:)); -plot((1:size(d_0_3_overlap,2)),d_0_3_overlap(2,:)); -plot((1:size(d_0_3_overlap,2)),d_0_3_overlap(3,:)); -title('Overlaps (pattern 0)'); -xlabel('ticks') -ylabel('overlap function'); -legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); -print(fig,'images/distorted_0_3_overlap.png','-dpng'); -hold off; -fig = figure; -plot((1:size(d_0_3_energy,2)),d_0_3_energy(1,:)); -title('Energy (pattern 0)'); -xlabel('ticks') -ylabel('energy'); -print(fig,'images/distorted_0_3_energy.png','-dpng'); -fig = figure; -imagesc([reshape(d_0_3_orig,32,32) reshape(d_0_3,32,32)]) -title(sprintf('Pattern 0 reconstructed (hamming distance=%d)',hamming_distance(d_0_3, p0))); -print(fig,'images/distorted_0_3_reconstructed.png','-dpng'); - -% plots pattern 1 (d_1_1) -fig = figure; -hold on; -plot((1:size(d_1_1_overlap,2)),d_1_1_overlap(1,:)); -plot((1:size(d_1_1_overlap,2)),d_1_1_overlap(2,:)); -plot((1:size(d_1_1_overlap,2)),d_1_1_overlap(3,:)); -title('Overlaps (pattern 1)'); -xlabel('ticks') -ylabel('overlap function'); -legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); -print(fig,'images/distorted_1_1_overlap.png','-dpng'); -hold off; -fig = figure; -plot((1:size(d_1_1_energy,2)),d_1_1_energy(1,:)); -title('Energy (pattern 1)'); -xlabel('ticks') -ylabel('energy'); -print(fig,'images/distorted_1_1_energy.png','-dpng'); -fig = figure; -imagesc([reshape(d_1_1_orig,32,32) reshape(d_1_1,32,32)]) -title(sprintf('Pattern 1 reconstructed (hamming distance=%d)',hamming_distance(d_1_1, p1))); -print(fig,'images/distorted_1_1_reconstructed.png','-dpng'); - -% plots pattern 1 (d_1_2) -fig = figure; -hold on; -plot((1:size(d_1_2_overlap,2)),d_1_2_overlap(1,:)); -plot((1:size(d_1_2_overlap,2)),d_1_2_overlap(2,:)); -plot((1:size(d_1_2_overlap,2)),d_1_2_overlap(3,:)); -title('Overlaps (pattern 1)'); -xlabel('ticks') -ylabel('overlap function'); -legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); -print(fig,'images/distorted_1_2_overlap.png','-dpng'); -hold off; -fig = figure; -plot((1:size(d_1_2_energy,2)),d_1_2_energy(1,:)); -title('Energy (pattern 1)'); -xlabel('ticks') -ylabel('energy'); -print(fig,'images/distorted_1_2_energy.png','-dpng'); -fig = figure; -imagesc([reshape(d_1_2_orig,32,32) reshape(d_1_2,32,32)]) -title(sprintf('Pattern 1 reconstructed (hamming distance=%d)',hamming_distance(d_1_2, p1))); -print(fig,'images/distorted_1_2_reconstructed.png','-dpng'); - -% plots pattern 1 (d_1_3) -fig = figure; -hold on; -plot((1:size(d_1_3_overlap,2)),d_1_3_overlap(1,:)); -plot((1:size(d_1_3_overlap,2)),d_1_3_overlap(2,:)); -plot((1:size(d_1_3_overlap,2)),d_1_3_overlap(3,:)); -title('Overlaps (pattern 1)'); -xlabel('ticks') -ylabel('overlap function'); -legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); -print(fig,'images/distorted_1_3_overlap.png','-dpng'); -hold off; -fig = figure; -plot((1:size(d_1_3_energy,2)),d_1_3_energy(1,:)); -title('Energy (pattern 1)'); -xlabel('ticks') -ylabel('energy'); -print(fig,'images/distorted_1_3_energy.png','-dpng'); -fig = figure; -imagesc([reshape(d_1_3_orig,32,32) reshape(d_1_3,32,32)]) -title(sprintf('Pattern 1 reconstructed (hamming distance=%d)',hamming_distance(d_1_3, p1))); -print(fig,'images/distorted_1_3_reconstructed.png','-dpng'); - -% plots pattern 2 (d_2_1) -fig = figure; -hold on; -plot((1:size(d_2_1_overlap,2)),d_2_1_overlap(1,:)); -plot((1:size(d_2_1_overlap,2)),d_2_1_overlap(2,:)); -plot((1:size(d_2_1_overlap,2)),d_2_1_overlap(3,:)); -title('Overlaps (pattern 2)'); -xlabel('ticks') -ylabel('overlap function'); -legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); -print(fig,'images/distorted_2_1_overlap.png','-dpng'); -hold off; -fig = figure; -plot((1:size(d_2_1_energy,2)),d_2_1_energy(1,:)); -title('Energy (pattern 2)'); -xlabel('ticks') -ylabel('energy'); -print(fig,'images/distorted_2_1_energy.png','-dpng'); -fig = figure; -imagesc([reshape(d_2_1_orig,32,32) reshape(d_2_1,32,32)]) -title(sprintf('Pattern 2 reconstructed (hamming distance=%d)',hamming_distance(d_2_1, p2))); -print(fig,'images/distorted_2_1_reconstructed.png','-dpng'); - -% plots pattern 2 (d_2_2) -fig = figure; -hold on; -plot((1:size(d_2_2_overlap,2)),d_2_2_overlap(1,:)); -plot((1:size(d_2_2_overlap,2)),d_2_2_overlap(2,:)); -plot((1:size(d_2_2_overlap,2)),d_2_2_overlap(3,:)); -title('Overlaps (pattern 2)'); -xlabel('ticks') -ylabel('overlap function'); -legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); -print(fig,'images/distorted_2_2_overlap.png','-dpng'); -hold off; -fig = figure; -plot((1:size(d_2_2_energy,2)),d_2_2_energy(1,:)); -title('Energy (pattern 2)'); -xlabel('ticks') -ylabel('energy'); -print(fig,'images/distorted_2_2_energy.png','-dpng'); -fig = figure; -imagesc([reshape(d_2_2_orig,32,32) reshape(d_2_2,32,32)]) -title(sprintf('Pattern 2 reconstructed (hamming distance=%d)',hamming_distance(d_2_2, p2))); -print(fig,'images/distorted_2_2_reconstructed.png','-dpng'); - -% plots pattern 2 (d_2_3) -fig = figure; -hold on; -plot((1:size(d_2_3_overlap,2)),d_2_3_overlap(1,:)); -plot((1:size(d_2_3_overlap,2)),d_2_3_overlap(2,:)); -plot((1:size(d_2_3_overlap,2)),d_2_3_overlap(3,:)); -title('Overlaps (pattern 2)'); -xlabel('ticks') -ylabel('overlap function'); -legend('overlap with pattern 0','overlap with pattern 1','overlap with pattern 2'); -print(fig,'images/distorted_2_3_overlap.png','-dpng'); -hold off; -fig = figure; -plot((1:size(d_2_3_energy,2)),d_2_3_energy(1,:)); -title('Energy (pattern 2)'); -xlabel('ticks') -ylabel('energy'); -print(fig,'images/distorted_2_3_energy.png','-dpng'); -fig = figure; -imagesc([reshape(d_2_3_orig,32,32) reshape(d_2_3,32,32)]) -title(sprintf('Pattern 2 reconstructed (hamming distance=%d)',hamming_distance(d_2_3, p2))); -print(fig,'images/distorted_2_3_reconstructed.png','-dpng'); - -fprintf('Done!\n'); - - - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% function m = overlap(p, x) - m = (p' * x) / 1024; + m = (p' * x') / 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