From c154c71a83e03c5b9237a2281223f7d9c69d506e Mon Sep 17 00:00:00 2001 From: ucha Date: Fri, 11 May 2018 16:58:21 -0400 Subject: [PATCH 1/4] nothing important --- test.m | 1 + 1 file changed, 1 insertion(+) diff --git a/test.m b/test.m index 020548b..928f19e 100644 --- a/test.m +++ b/test.m @@ -15,3 +15,4 @@ plot(unknown(1,i), unknown(2, i), 'black +') end end +%matlab file From 40fa8c7d8c52481e8f64e6491106215292f04b08 Mon Sep 17 00:00:00 2001 From: ucha Date: Sat, 12 May 2018 00:16:27 -0400 Subject: [PATCH 2/4] reDesigned the applet data is automatically Generated when app is run releasing the drag replots data plot button also replots data changing the trans value also replots data --- SVMLS.m | 6 ++---- app.mlapp | Bin 0 -> 30606 bytes app1.mlapp | Bin 35925 -> 0 bytes generate_data.m | 27 --------------------------- test.m | 18 ------------------ 5 files changed, 2 insertions(+), 49 deletions(-) create mode 100644 app.mlapp delete mode 100644 app1.mlapp delete mode 100644 generate_data.m delete mode 100644 test.m diff --git a/SVMLS.m b/SVMLS.m index 5bf8125..dd64469 100644 --- a/SVMLS.m +++ b/SVMLS.m @@ -43,7 +43,6 @@ A = [[0 y_data]' [-1.*y_data; Omega]]; o = [0; ones(size(x_data, 2), 1)]; - x = A\o; y = zeros(size(unknown,2), 1); @@ -55,8 +54,7 @@ y(j) = sign(sum); end - - - output = y; + + end diff --git a/app.mlapp b/app.mlapp new file mode 100644 index 0000000000000000000000000000000000000000..48eb9fbc783d7658ee116062f449704a76b4abfd GIT binary patch literal 30606 zcmV)5K*_&QO9KQH000080Q{?~Ow%4vE-nE805}5x022TJ09!+EZggdCbYE0?aAk8{ zE_iKhwUWzD!!Qs1nVEa; z9cMDzTf?>(llHFRSM``PbkZyB+J?U^pQ>BVQU<5Mc!v!?VB%~xoh%Ol6Qg058s6m` z?u1CPLkp?)0UcFVK3d3hjjaeE*U+N49*=K?^e&^zRW2HQI+^1NHYT%&)Au6Xa0tO@ z37LF}ty48gbvqx|shkYF*VHh_q+5rvoS(fyGol)2k9(3i1uAzjkZ@_cI$N$InqyDu zbVws=xByT!4JQ1^K#Rs&dAYGPQ?&1c0bTZwO^zG9KovBRUg@=>R`{nd(nqX9q-x9> z&v6zI^9xu~5f(Ej$RJANqVKDJ#r}%<9lIDnwY&f1_PZQzpda~kB91@)^aD^!0|XQR 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+++ /dev/null @@ -1,27 +0,0 @@ -function generate_data() - x1_cord = 1.5*rand(1, 20)+1; - y1_cord = 1.5*rand(1, 20)+1; - x2_cord = 1.5*rand(1, 20)+2; - y2_cord = 1.5*rand(1, 20)+2; - x_data = [[x1_cord; y1_cord] [x2_cord; y2_cord]]; - y_data = [ones(1, 20) -ones(1,20)]; - assignin('base', 'x_data', x_data) - assignin('base', 'y_data', y_data) - - x = 1:0.1:4; - y = 1:0.1:4; - - %%%create grid - unknown = zeros(2, 961); - for i = 1:31 - for j = 1:31 - unknown(1, 31*(i-1)+(j)) = x(i); - unknown(2, 31*(i-1)+(j)) = y(j); - end - end - assignin('base', 'unknown', unknown) - - assignin('base', 'gammaValue', 1) - assignin('base', 'aValue', 1) - -end \ No newline at end of file diff --git a/test.m b/test.m deleted file mode 100644 index 928f19e..0000000 --- a/test.m +++ /dev/null @@ -1,18 +0,0 @@ -generate_data() - - -classes = SVMLS(x_data, y_data, unknown, 3, 1, 1); - -%%%plot points and classifier -figure -hold on -plot(x_data(1,1:20), x_data(2, 1:20), 'r *') -plot(x_data(1,21:40), x_data(2, 21:40), 'b *') - - -for i = 1:961 - if (classes(i) == 1) - plot(unknown(1,i), unknown(2, i), 'black +') - end -end -%matlab file From 4c23759cd771ee9e2192bf6167bdafd12d608fab Mon Sep 17 00:00:00 2001 From: uchajk <32559183+uchajk@users.noreply.github.com> Date: Mon, 21 May 2018 23:30:03 -0400 Subject: [PATCH 3/4] Add files via upload --- SVMLS.m | 23 +++++++++++++++-------- app.mlapp | Bin 30606 -> 30885 bytes 2 files changed, 15 insertions(+), 8 deletions(-) diff --git a/SVMLS.m b/SVMLS.m index dd64469..3ebbceb 100644 --- a/SVMLS.m +++ b/SVMLS.m @@ -1,5 +1,6 @@ function output = SVMLS(x_data, y_data, unknown, transformation, gamma, a, b, varargin) - if not((size(x_data, 2) == size(y_data, 2))) + x_size = size(x_data, 2); + if not((x_size == size(y_data, 2))) return end if nargin < 4 @@ -31,24 +32,30 @@ fprintf('error') end - Omega = zeros(size(x_data, 2), size(x_data, 2)); - for i = 1:size(x_data, 2) - for j = 1:size(x_data, 2) + Omega = zeros(x_size, x_size); + for i = 1:x_size + for j = 1:x_size Omega(i,j) = y_data(i)*y_data(j)*Fi(x_data(:,i), x_data(:,j)); end end - gamma_matrix = 1/gamma*eye(size(x_data, 2)); + gamma_matrix = 1/gamma*eye(x_size); Omega = Omega + gamma_matrix; A = [[0 y_data]' [-1.*y_data; Omega]]; - o = [0; ones(size(x_data, 2), 1)]; + o = [0; ones(x_size, 1)]; x = A\o; + + for i = 1:x_size + if (x(i+1) < 0) + x(i+1) = -1*x(i+1); + end + end y = zeros(size(unknown,2), 1); for j = 1:size(unknown, 2) sum = 0; - for i = 1:size(x_data, 2) + for i = 1:x_size sum = sum + x(i+1)*y_data(i)*Fi(x_data(:,i), unknown(:,j))+x(1); end @@ -57,4 +64,4 @@ output = y; -end +end \ No newline at end of file diff --git a/app.mlapp b/app.mlapp index 48eb9fbc783d7658ee116062f449704a76b4abfd..558c090cbec8ca4c4be164ecf603c523a71cb251 100644 GIT binary patch delta 29466 zcmV(tKhQP(fs9fC9hQqmw@ zBGRCwNQ_A55Yo&HB`K|RihzKGA{|4AA|N0s%+SpYImE=}eZOzrzwbTk{MOme@9byq zvrg@^jWo>-HJ|XviA(YrX_||GoNN62dokX?-%bsm0#694l6EpiCny 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zvwg>;&rY;SwLY(sUieZx+jIIiq)du-#!XW7eMR;EP!I|V(SMiy-{rl|N&ddf7+|me G%>EzxF;8m% From 5e0f777379a7de5f3825f9c3c50f9aec891a7bcb Mon Sep 17 00:00:00 2001 From: uchajk <32559183+uchajk@users.noreply.github.com> Date: Tue, 22 May 2018 17:00:13 -0400 Subject: [PATCH 4/4] Add files via upload --- Correctness.m | 21 +++++++++++++++++++++ Optimizer.m | 35 +++++++++++++++++++++++++++++++++++ README.md | 22 ++++++++++++++++++++-- SVMLS.m | 9 ++------- app.mlapp | Bin 30885 -> 33630 bytes generate_data.m | 20 ++++++++++++++++++++ 6 files changed, 98 insertions(+), 9 deletions(-) create mode 100644 Correctness.m create mode 100644 Optimizer.m create mode 100644 generate_data.m diff --git a/Correctness.m b/Correctness.m new file mode 100644 index 0000000..aa25bce --- /dev/null +++ b/Correctness.m @@ -0,0 +1,21 @@ +function count = Correctness(input) + red = evalin('base','red'); + blue = evalin('base','blue'); + val_r = ones(1,size(red,2)); + val_b = -ones(1,size(blue,2)); + + + trans = evalin('base','trans'); + b = evalin('base','b'); + gamma = input(1); + if (size(input,2) == 1) + a = evalin('base','a'); + else + a = input(2); + end + + prediction = SVMLS([red blue],[val_r val_b], [red blue], trans, gamma, a, b); + result = [val_r val_b] + prediction'; + count = nnz(~result); +end + diff --git a/Optimizer.m b/Optimizer.m new file mode 100644 index 0000000..d252311 --- /dev/null +++ b/Optimizer.m @@ -0,0 +1,35 @@ +function Optimizer() + trans = evalin('base','trans'); + + gammas = zeros(1,5); + values = zeros(1,5); + for i = 1:5 + [gammas(i), values(i)] = fminbnd(@Correctness,2*(i-1),2*i); + end + [Y, I] = min(values); + gamma = gammas(I); + assignin('base', 'gamma', gamma); + return; + + + %{ + if (trans == 1) + gammas = zeros(1,5); + values = zeros(1,5); + for i = 1:5 + [gammas(i), values(i)] = fminbnd(@Correctness,2*(i-1),2*i); + end + [Y, I] = min(values); + gamma = gammas(I); + assignin('base', 'gamma', gamma); + return; + elseif (trans == 2 || trans == 3) + output = fminsearch(@Correctness, [1, 1]); + gamma = output(1); + a = output(2); + assignin('base', 'gamma', gamma); + assignin('base', 'a', a); + return; + end + %} +end \ No newline at end of file diff --git a/README.md b/README.md index 543fd6c..7b44559 100644 --- a/README.md +++ b/README.md @@ -1,2 +1,20 @@ -# support_vector_machine -301 Project +# support_vector_machine +301 Project + +By Andrii Luchko & Ucha Samadashvili + + +Usage: + +-Run app.mlapp in MATLAB. Make sure all files are in the present working directory + +-User can generate new data by pressing �Generate New Data� which will generate new training points randomly. + +-While app is running user can input new training data by assigning array of points in console to �red� (class1) and �blue� (class2) where array is the form of: blue = [point1 point2 � pointN] +where point is the form of: +point1 = [x_cord ; y_cord] + +-User can also input new data to be classified by assigning array of points in the same format as above to �data� + +-User can change parameters �gamma�, �a�, �b� manually for all transformations by sliding drag bars and then clicking �Plot�. For linear transformation user can simply click �Optimize� and then �Plot� button and the program will find the best parameter. + diff --git a/SVMLS.m b/SVMLS.m index 3ebbceb..0fdec94 100644 --- a/SVMLS.m +++ b/SVMLS.m @@ -19,7 +19,6 @@ b = 1; end - if (transformation == 1) Fi = @(x, xx) dot(x, xx); elseif (transformation == 2) @@ -46,17 +45,13 @@ o = [0; ones(x_size, 1)]; x = A\o; - for i = 1:x_size - if (x(i+1) < 0) - x(i+1) = -1*x(i+1); - end - end + y = zeros(size(unknown,2), 1); for j = 1:size(unknown, 2) sum = 0; for i = 1:x_size - sum = sum + x(i+1)*y_data(i)*Fi(x_data(:,i), unknown(:,j))+x(1); + sum = sum + sqrt((x(i+1))^2)*y_data(i)*Fi(x_data(:,i), unknown(:,j))+x(1); end y(j) = sign(sum); diff --git a/app.mlapp b/app.mlapp index 558c090cbec8ca4c4be164ecf603c523a71cb251..0bf0780ce2ba1dc84a763c1cbef05d9aa6f6a8f7 100644 GIT binary patch delta 32364 zcmV(rK<>Y#@d4h30u4}00|XQR000O85rwv~4O{^O5rww1Yyn3B4iSg8Obo)V@*8mg 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to generate new set of data +function generate_data() + red_x = 4*rand(1, 20); + red_y = 4*rand(1, 20); + blue_x = 4*rand(1, 20)+3; + blue_y = 4*rand(1, 20)+3; + red = [red_x; red_y]; + blue = [blue_x; blue_y]; + data = []; + + assignin('base','red',red); + assignin('base','blue',blue); + assignin('base','data',data); + %assignin('base','trans',3); + %assignin('base','gamma',1); + %assignin('base','a',1); + %assignin('base','b',1); + + +end \ No newline at end of file