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visualize_Regularization.html
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149 lines (128 loc) · 5.49 KB
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<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>
<script type="text/JavaScript" src="./js/Quadratic_Function_Solver.js"></script>
<div id="control">
<div style="position:relative; width: 700px; height: 160px;">
<div style="position:absolute; width: 350px; left: 0;">
<textarea id="in_sample" rows="8" cols="40"></textarea>
<div><label for="in_sample">In sample</label></div>
</div>
<div style="position:absolute; width: 350px; left: 350px;">
<textarea id="out_sample" rows="8" cols="40"></textarea>
<div><label for="out_sample">Out sample</label></div>
</div>
</div>
<div>
<label for="k">lamda = 10^k</label>
<input type="text" name="k" id="k" value="-3" size="3">
</div>
<div>
<button id="run_lr">Linear Regression</button>
<button id="run_lr_reg">Linear Regression(Regularization)</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 plane = new window.TestPlane(-1,1,-1,1);
var transform = function(point) {
return [1,
point[0],
point[1],
Math.pow(point[0], 2),
Math.pow(point[1], 2),
point[0]*point[1],
Math.abs(point[0]-point[1]),
Math.abs(point[0]+point[1])];
};
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.lineArray = function(text) {
return text.split('\n');
}
window.getDataSetFromLineArray = function(lineArray) {
var lineRegExp = new RegExp(/\s*(\S+)\s+(\S+)\s+(\S+)\s*/);
var result = [];
for(var i in lineArray) {
var line = lineArray[i];
if(!line || line === '') continue;
var matched = lineRegExp.exec(line);
if(!matched) continue;
var point = [parseFloat(matched[1]), parseFloat(matched[2])];
var output = Math.round(parseFloat(matched[3]));
result.push({point: point, output: output});
}
return result;
}
window.run_lr = function(in_sample_text, out_sample_text) {
var dataSet = window.getDataSetFromLineArray(window.lineArray(in_sample_text));
var transformedDataSet = window.transformDataSet(dataSet, transform);
var outSampleDataSet = window.getDataSetFromLineArray(window.lineArray(out_sample_text));
var transformedOutSampleDataSet = window.transformDataSet(outSampleDataSet, transform);
var lr = new window.Linear_Regression();
var completeCallback = function(weights) {
window.drawDataSet(dataSet);
var in_error = window.getErrorFraction(lr, transformedDataSet);
var out_error = window.getErrorFraction(lr, transformedOutSampleDataSet);
window.displayRegressionResult(weights, in_error, out_error);
window.drawRegressionComplete(weights, lr, plane, transformedDataSet);
};
window.initCanvas();
lr.regression(transformedDataSet, completeCallback);
}
window.run_lr_reg = function(in_sample_text, out_sample_text, k) {
var dataSet = window.getDataSetFromLineArray(window.lineArray(in_sample_text));
var transformedDataSet = window.transformDataSet(dataSet, transform);
var outSampleDataSet = window.getDataSetFromLineArray(window.lineArray(out_sample_text));
var transformedOutSampleDataSet = window.transformDataSet(outSampleDataSet, transform);
var lr = new window.Linear_Regression();
var completeCallback = function(weights) {
window.drawDataSet(dataSet);
var in_error = window.getErrorFraction(lr, transformedDataSet);
var out_error = window.getErrorFraction(lr, transformedOutSampleDataSet);
window.displayRegressionResult(weights, in_error, out_error);
window.drawRegressionComplete(weights, lr, plane, transformedDataSet);
};
window.initCanvas();
lr.regressionWithRegularization(transformedDataSet, Math.pow(10, k), completeCallback);
}
window.displayRegressionResult = function(weights, in_error, out_error) {
var status = 'Weight: ' + window.joinWithRounding(weights, 4) + '\r\n'
+ 'In sample error: ' + '\r\n' + in_error + '\r\n'
+ 'Out of sample error: ' + '\r\n' + out_error;
$('#status').val(status);
}
window.getErrorFraction = 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.drawRegressionResult = function(weights, plane){
// I'm too lazy to finish this....
}
window.initCanvas();
$('#run_lr').on('click', function() { window.run_lr($('#in_sample').val(), $('#out_sample').val()); });
$('#run_lr_reg').on('click', function() { window.run_lr_reg($('#in_sample').val(), $('#out_sample').val(), $('#k').val()); });
</script>
</body>
</html>