Machine-Learning/pla_vs_svm.html at master · Xelio/Machine-Learning · GitHub

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
<html>
<head>
</head>
<body>
<script src="http://code.jquery.com/jquery-1.10.1.min.js"></script>
<script type="text/JavaScript" src="./js/lib/jsDraw2D.js"></script>
<script type="text/JavaScript" src="./js/lib/svm.js"></script>
<script type="text/JavaScript" src="./js/lib/quadprog.js"></script>
<script type="text/JavaScript" src="./js/drawing.js"></script>
<script type="text/JavaScript" src="./js/lib/math.min.js"></script>
<script type="text/JavaScript" src="./js/TestPlane.js"></script>
<script type="text/JavaScript" src="./js/PLA.js"></script>
<script type="text/JavaScript" src="./js/Linear_Regression.js"></script>
<script type="text/JavaScript" src="./js/Quadratic_Function_Solver.js"></script>

<div id="control">
  <div>
    <label for="N">N = </label>
    <input type="text" name="N" id="N" value="100" />
  </div>
  <div>
    <label for="testTimes">Test times = </label>
    <input type="text" name="testTimes" id="testTimes" value="1000" />
  </div>
  <div>
    <button id="vs">PLA vs SVM</button>
    <button id="vs_times">PLA vs SVM (multiple times)</button>
  </div>
</div>

<div style="position:relative;">
  <div style="position:absolute; width: 350px;">
    <textarea id="status" readonly rows="30" cols="40"></textarea>
  </div>
  <div id="canvas" style="position:absolute; width:500px;height:500px;left:350px" />
</div>

<script type="text/JavaScript">
  var add_w0 = function(point) {
    return [1,
            point[0],
            point[1]];
  };

  window.generateDataSet = function(NumberOfN, plane) {
    var result = [];
    for(var i = 0; i < NumberOfN; i++) {
      var point = plane.randomPoint();
      var output = plane.getOutput(point);
      result.push({point: point, output: output});
    }
    return result;
  }

  window.transformDataSet = function(dataSet, transformFunction) {
    var result = [];
    for(var i in dataSet) {
      result.push({point: transformFunction(dataSet[i].point), output: dataSet[i].output});
    }
    return result;
  }

  window.vs = function(NumberOfN) {
    var plane = new window.TestPlane(-1,1,-1,1);
    var dataSet = window.generateDataSet(NumberOfN, plane);
    var dataSetWithw0 = window.transformDataSet(dataSet, add_w0);

    var pointsArray = [];
    var labelsArray = [];
    for(var i = 0; i < dataSetWithw0.length; i++) {
      pointsArray.push(dataSetWithw0[i].point);
      labelsArray.push(dataSetWithw0[i].output);
    }

    var pla = new window.PLA([0,0,0], function(x) {return Math.sign(x);});
    var svm = new svmjs.SVM();

    pla.trainSet(dataSetWithw0, false);
    svm.train(pointsArray, labelsArray, {kernel: 'linear', C: 1000000, alphatol: 0, maxiter: 100000});

    window.initCanvas();
    window.drawTargetLine(plane);
    window.drawDataSet(dataSet);

    var plaLine = window.weightsToLine(pla._weights, plane);
    window.plotLine(plaLine, greenPen);

    var svm_weights = svm.w;
    svm_weights[0] = svm_weights[0] + svm.b;
    var svmLine = window.weightsToLine(svm_weights, plane);
    window.plotLine(svmLine, pinkPen2);

    var status = 'Eout PLA: ' + '\r\n' + window.getErrorRate(pla._weights, plane) + '\r\n'
               + 'Eout SVM: ' + '\r\n' + window.getErrorRate(svm_weights, plane) + '\r\n';
    $('#status').val(status);
  }

  window.vs_times = function(NumberOfN, times) {
    var times_svm_better = 0;

    for(var k = 0; k < times; k++) {
      var allOutputSame = true;
      var plane;
      var dataSet;

      while(allOutputSame) {
        plane = new window.TestPlane(-1,1,-1,1);
        dataSet = window.generateDataSet(NumberOfN, plane);
        var sumOutput = 0;
        for (var j=0; j < dataSet.length; j++) {
          sumOutput += dataSet[j].output;
        }
        if(Math.abs(sumOutput) != dataSet.length) allOutputSame = false;
      }

      var dataSetWithw0 = window.transformDataSet(dataSet, add_w0);

      var pointsArray = [];
      var labelsArray = [];
      for(var i = 0; i < dataSetWithw0.length; i++) {
        pointsArray.push(dataSetWithw0[i].point);
        labelsArray.push(dataSetWithw0[i].output);
      }

      var pla = new window.PLA([0,0,0], function(x) {return Math.sign(x);});
      var svm = new svmjs.SVM();

      pla.trainSet(dataSetWithw0, false);
      svm.train(pointsArray, labelsArray, {kernel: 'linear', C: 1000000, alphatol: 0, maxiter: 100000});

      var svm_weights = svm.w;
      svm_weights[0] = svm_weights[0] + svm.b;

      if(window.getErrorRate(svm_weights, plane) < window.getErrorRate(pla._weights, plane)) {
        times_svm_better += 1;
      }
    }
    fraction_svm_better =  times_svm_better / times;

    var status = 'SVM better: ' + '\r\n' + fraction_svm_better + '\r\n';
    $('#status').val(status);
  }

  window.getErrorRate = function(weights, plane) {
    var numberOfErrorTestPoint = 100000;
    var errorPointCount = 0;
    for(var i = 0; i < numberOfErrorTestPoint; i++) {
      var testErrorPoint = plane.randomPoint();

      var point = add_w0(testErrorPoint);
      var output = 0;
      for(var j = 0; j < point.length; j++) {
        output += weights[j] * point[j];
      }
      output = math.sign(output);
      if(plane.getOutput(testErrorPoint) !== output) errorPointCount += 1;
    }
    return errorPointCount / numberOfErrorTestPoint;
  }

  window.initCanvas();
  $('#vs').on('click', function() { window.vs($('#N').val()); });
  $('#vs_times').on('click', function() { window.vs_times($('#N').val(), $('#testTimes').val()); });
</script>
</body>
</html>