Machine-Learning/visualize_Linear_Regression.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
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
<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/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>
<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="lr_once">Linear Regression one time</button>
    <button id="lr_multi">Linear Regression multiple times</button>
    <button id="lr_to_pla">Animating Linear Regression -> PLA</button>
    <button id="lr_to_pla_multi">Linear Regression -> PLA multiple times</button>
  </div>
  <div>
    <button id="reset">Reset</button>
  </div>
</div>
<div id="canvas" style="position:relative;width:500px;height:500px;left:200px" />
<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.regressionOnce = function(NumberOfN) {
    console.log('regressionOnce');
    var plane = new window.TestPlane(-1,1,-1,1);
    var dataSet = window.generateDataSet(NumberOfN, plane);
    var dataSetWithw0 = window.transformDataSet(dataSet, add_w0);
    var lr = new window.Linear_Regression();

    var completeCallback = function(weight) {
      window.initCanvas();
      window.drawTargetLine(plane)
      window.drawDataSet(dataSet);
      window.drawRegressionComplete(weight, lr, plane);
    }

    window.initCanvas();
    lr.regression(dataSetWithw0, completeCallback);
  }

  window.regressionMultiTimes = function(NumberOfN, times) {
    console.log('regressionMultiTimes');

    window.initCanvas();
    var totalEin = 0;
    var totalEout = 0;
    for(var i = 0; i < times; i++) {
      var plane = new window.TestPlane(-1,1,-1,1);
      var dataSet = window.generateDataSet(NumberOfN, plane);
      var dataSetWithw0 = window.transformDataSet(dataSet, add_w0);
      var lr = new window.Linear_Regression();
      lr.regression(dataSetWithw0);
      totalEin += window.getErrorInSampleFraction(lr, dataSetWithw0);
      totalEout += window.getErrorOutSampleFraction(lr, plane, 1000);
    }
    var avgEin = totalEin/times;
    var avgEout = totalEout/times;

    var label = 'Ein: ' + avgEin + '<br />'
              + 'Eout: ' + avgEout;

    window.gr.drawText(label, new jsPoint(-1, 1.24), smallFont, black, 1, 'center');
  }

  window.animateRegressionThenPLA = function(NumberOfN) {
    console.log('animateRegressionThenPLA');
    var plane = new window.TestPlane(-1,1,-1,1);
    var dataSet = window.generateDataSet(NumberOfN, plane);
    var dataSetWithw0 = window.transformDataSet(dataSet, add_w0);
    var lr = new window.Linear_Regression();
    var pla = new window.PLA([0,0,0], function(x) {return Math.sign(x);});

    var iterationPLACallback = function(weightCurrent, weightsBefore, iteration, trainedPoint) {
      window.initCanvas();
      window.drawTargetLine(plane)
      window.drawDataSet(dataSet);
      window.drawPLAIteration(weightCurrent, weightsBefore, iteration, trainedPoint, pla, plane);
      window.timer = setTimeout(function() {pla.trainSet(dataSetWithw0, true, iterationPLACallback);}, 500);
    }

    var completeLRCallback = function(weight) {
      window.initCanvas();
      window.drawTargetLine(plane)
      window.drawDataSet(dataSet);
      window.dataSetWithw0 = window.transformDataSet(dataSet, add_w0);
      window.drawRegressionComplete(weight, lr, plane);
      pla._weights = lr._weights;
      setTimeout(function() {pla.trainSet(dataSetWithw0, true, iterationPLACallback);}, 1500);
    }

    window.initCanvas();
    lr.regression(dataSetWithw0, completeLRCallback);
  }

  window.regressionThenPLAMultiTimes = function(NumberOfN, times) {
    console.log('regressionThenPLAMultiTimes');

    window.initCanvas();
    var totalIteration = 0;

    for(var i = 0; i < times; i++) {
      var plane = new window.TestPlane(-1,1,-1,1);
      var dataSet = window.generateDataSet(NumberOfN, plane);
      var dataSetWithw0 = window.transformDataSet(dataSet, add_w0);
      var lr = new window.Linear_Regression();

      lr.regression(dataSetWithw0);
      var pla = new window.PLA(lr._weights, function(x) {return Math.sign(x);});
      pla.trainSet(dataSetWithw0, false);
      totalIteration += pla._iteration
    }

    var avrIteration = totalIteration/times;
    var label = 'Average iterations: ' + avrIteration;

    window.gr.drawText(label, new jsPoint(-1, 1.24), smallFont, black, 1, 'center');
  }

  window.getErrorInSampleFraction = function(lr, dataSet) {
    var errorPointCount = 0;
    for(var i in dataSet) {
      if(dataSet[i].output !== Math.sign(lr.getOutput(dataSet[i].point))) errorPointCount += 1;
    }
    return errorPointCount / dataSet.length;
  }

  window.getErrorOutSampleFraction = function(lr, plane, numberOfSample) {
    var errorPointCount = 0;
    for(var i = 0; i < numberOfSample; i++) {
      var testErrorPoint = plane.randomPoint();
      if(plane.getOutput(testErrorPoint) !== Math.sign(lr.getOutput(add_w0(testErrorPoint)))) errorPointCount += 1;
    }
    return errorPointCount / numberOfSample;
  }

  window.drawRegressionComplete = function(weightCurrent, lr, plane) {
    var trainedLine = window.weightsToLine(weightCurrent, plane);

    var label = 'Weights: ' + window.joinWithRounding(weightCurrent,4) + '<br />'
              + 'Error rate: ' + window.getErrorOutSampleFraction(lr, plane, 100000);

    window.plotLine(trainedLine, greenPen);
    window.gr.drawText(label, new jsPoint(-1, 1.24), smallFont, black, 1, 'center');
  }

  window.drawPLAIteration = function(weightCurrent, weightsBefore, iteration, trainedPoint, pla, plane) {
    var trainedLine = window.weightsToLine(weightCurrent, plane);
    var beforeTrainedLine = window.weightsToLine(weightsBefore, plane);

    var label1 = 'Weights before: ' + window.joinWithRounding(weightsBefore,4) + '<br />'
              + 'Weights after: ' + window.joinWithRounding(weightCurrent,4) + '<br />'
              + 'Trained point: ' + window.joinWithRounding(trainedPoint,4);
    var label2 = 'Iteration: ' + iteration + '<br />'
               + 'Error rate: ' + window.getErrorOutSampleFraction(pla, plane, 100000);

    window.plotLine(trainedLine, greenPen);
    window.plotLine(beforeTrainedLine, pinkPen);
    window.plotCircle([trainedPoint[1], trainedPoint[2]], orangePen);
    window.gr.drawText(label1, new jsPoint(-1, 1.24), smallFont, black, 1, 'center');
    window.gr.drawText(label2, new jsPoint(0, 1.24), smallFont, black, 1, 'center');
  }

  window.reset = function() {
    window.clearTimeout(window.timer);
    window.initCanvas();
  }

  window.initCanvas();
  $('#lr_once').on('click', function() { window.regressionOnce($('#N').val()); });
  $('#lr_multi').on('click', function() { window.regressionMultiTimes($('#N').val(), $('#testTimes').val()); });
  $('#lr_to_pla').on('click', function() { window.animateRegressionThenPLA($('#N').val()); });
  $('#lr_to_pla_multi').on('click', function() { window.regressionThenPLAMultiTimes($('#N').val(), $('#testTimes').val()); });
  $('#reset').on('click', function() { window.reset(); });
</script>
</body>
</html>