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linreg.html
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<html>
<head>
<meta charset="UTF-8">
<!--link rel="stylesheet" href="https://stackpath.bootstrapcdn.com/bootstrap/4.1.1/css/bootstrap.min.css" integrity="sha384-WskhaSGFgHYWDcbwN70/dfYBj47jz9qbsMId/iRN3ewGhXQFZCSftd1LZCfmhktB" crossorigin="anonymous"-->
<link rel="stylesheet" type="text/css" href="style/bootstrap.min.css"/>
<link rel="stylesheet" type="text/css" href="style/style.css"/>
<link href="http://cdn.jsdelivr.net/gh/joungkyun/font-d2coding/d2coding.css" rel="stylesheet" type="text/css">
<style>
#jog_dial_w_wheel {
background-color: rgb(100,100,100) !important;
}
#jog_dial_w_knob {
background-color: rgb(100,100,100) !important;
}
#jog_dial_b_wheel {
background-color: rgb(100,100,100) !important;
}
#jog_dial_b_knob {
background-color: rgb(100,100,100) !important;
}
.hypothesis {
color: rgb(52,138,189);
}
.target{
color: rgb(213,94,0);
}
</style>
</head>
<body style="background-color:#F9F9F9;">
<div class="container" style="margin-top:20px;border:0px solid #FF0000;">
<div class="row">
<div class="col-6" style="border:0px solid #00FF00;">
<div class="card" style="float:left;margin-top:5px;">
<div class="card-header">Linear Regression</div>
<div class="card-body" style="border:0px solid #FF0000;">
<div id="graph1" style="float:left;width:490px;height:434px;border:0px solid #FF0000;margin-top:10px;"></div>
</div>
</div>
</div>
<div class="col-6" style="border:0px solid #00FF00;">
<div class="card" style="float:left;margin-top:5px;">
<div class="card-header">Cost Function</div>
<div class="card-body" style="border:0px solid #FF0000;">
<h5 class="card-title"><span id="cost_meter"></span></h5>
<div id="graph2" style="float:left;width:490px;height:400px;border:0px solid #FF0000;margin-top:10px;margin-left:20px;"></div>
</div>
</div>
</div>
</div>
</div>
<div class="container" style="border:0px solid #FF0000;margin-top:10px;">
<div class="row" style="padding-left:10px;">
<div class="col-12">
<div style="display:inline-block;border:0px solid #FF0000;vertical-align:top;margin-right:20px;">
<div style="display: inline-block;width:120px;border:0px solid #FF0000;margin-top:55px;vertical-align:top;">
<div class="dial">
<div id="jog_dial_w"></div>
<p id="jog_dial_w_meter">
w<sub>1</sub> : <span id="w_value">0</span>
</p>
</div>
</div>
<div style="display: inline-block;width:120px;border:0px solid #0000FF;margin-top:55px;margin-left:10px;vertical-align:top;">
<div class="dial">
<div id="jog_dial_b"></div>
<p id="jog_dial_b_meter">
w<sub>0</sub> : <span id="b_value">0</span>
</p>
</div>
</div>
<div style="border:0px solid #0000FF;margin-top:20px;margin-left:5px;margin-right:5px;">
<div class="form-group">
<select class="custom-select" id="dataset">
<option value="line">Linear</option>
<option value="sin">Sin</option>
</select>
</div>
</div>
<div style="border:0px solid #0000FF;margin-top:10px;margin-left:5px;margin-right:5px;">
<div class="form-group">
<div class="custom-control custom-switch">
<input type="checkbox" class="custom-control-input" id="view-cost">
<label class="custom-control-label" for="view-cost">cost</label>
</div>
</div>
<div class="form-group">
<button type="button" class="btn btn-primary btn-sm" id="learn">Learn</button>
<button type="button" class="btn btn-danger btn-sm" id="stop">Stop</button>
</div>
</div>
</div>
<div style="float:right;display:inline-block;border:1px solid #CCCCCC;margin-top:13px;margin-left:5px;">
<table id="data-table" class="d2 table table-hover" style="margin-bottom: 0px;">
<thead>
<tr class="table-dark">
<th scope="row"></th>
<th scope="col">D1</th><th scope="col">D2</th>
<th scope="col">D3</th><th scope="col">D4</th>
<th scope="col">D5</th><th scope="col">D6</th>
<th scope="col">D7</th><th scope="col">D8</th>
<th scope="col">D9</th><th scope="col">D10</th>
</tr>
</thead>
<tr id="data-x" class="target">
<th scope="row">x</th>
</tr>
<tr id="data-target" class="target">
<th scope="row">y</th>
</tr>
<tr id="hypothesis" class="hypothesis">
<th scope="row">h</th>
</tr>
<tr id="indivusual_cost">
<th scope="row">(h-y)^2</th>
</tr>
</table>
</div>
</div>
</div>
</div>
<script src="https://code.jquery.com/jquery-2.1.4.min.js"></script>
<script src="https://cdn.plot.ly/plotly-latest.min.js"></script>
<script src="./jogDial.min.js"></script><!--https://github.com/ohsiwon/JogDial.js-->
<!--script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.5/js/bootstrap.min.js"></script-->
<script>
/*
* numpy.linspace() 함수의 구현
* https://gist.github.com/joates/6584908
*/
var linspace = function(a, b, n) {
if(typeof n === "undefined") n = Math.max(Math.round(b-a)+1,1);
if(n<2) { return n===1 ? [a] : []; }
var i,ret = Array(n);
n--;
for(i=n; i>=0; i--) { ret[i] = (i*b+(n-i)*a)/n; }
return ret;
}
/*
* cost function 1/2 * sum_{i=1}^{N} (t_i - y_i)^2
*/
var cost = function(w, b, X, T) {
Y = X.map(function(x){return w*x + b;});
C = 0.0;
for(var i in X) { C += Math.pow(T[i]-Y[i], 2); }
C = (1/2)*C;
return C;
}
/*
* calc. cost function value Z for drawing cost function
*/
var draw_cost = function(X, Y, data) {
var i, j;
var grid_size = X.length;
var Z = new Array(grid_size);
for(i = 0; i < grid_size; i++) {
Z[i] = new Array(grid_size);
for(j = 0; j < grid_size; j++)
Z[i][j] = cost(X[j], Y[i], data.x, data.y);
}
return Z;
}
$( document ).ready(function() {
var GRAPH = document.getElementById('graph1');
var GRAPH2 = document.getElementById('graph2');
var domain = {'line' : linspace(-1, 1, 100), 'sin' : linspace(-0.5, 1.5, 100)}
// 셀렉트 박스로 부터 현재 데이터 세트의 문자열을 받아온다.
var cur_data = $( "select" ).val();
/*
* 선형 데이터와 사인 데이터를 피팅 그래프에 그리기 위한 plotly 레이아웃을 미리 정의한다.
*/
var layout_linreg = {'line' : {
margin: {
l: 33, r: 20, b: 33, t: 0, pad: 0
},
xaxis: {range: [-1, 1], title:'x Axis'},
yaxis: {range: [-1, 1], title:'y Axis'},
legend: {
x: 0,
y: 1,
traceorder: 'normal',
bgcolor: '#E2E2E2',
bordercolor: '#E2E2E2',
borderwidth: 2
}
},
'sin' : {
margin: {
l: 33, r: 20, b: 33, t: 0, pad: 0
},
xaxis: {range: [-0.2, 1.2], title:'x Axis'},
yaxis: {range: [-1.6, 1.6], title:'y Axis'},
legend: {
x: 0,
y: 1,
traceorder: 'normal',
bgcolor: '#E2E2E2',
bordercolor: '#E2E2E2',
borderwidth: 2
}
}
}
/*
* 선형 데이터와 사인 데이터에 대한 코스트 그래프를 위한 plotly 레이아웃을 미리 정의한다.
*/
var layout_cost = { 'line' : {
margin: {
l: 33, r: 20, b: 33, t: 0, pad: 0
},
xaxis: {range: [-1, 1], title:'w1 Axis'},
yaxis: {range: [-1, 1], title:'w0 Axis'}
},
'sin' : {
margin: {
l: 33, r: 20, b: 33, t: 0, pad: 0
},
xaxis: {range: [-2.0, -1.0], title:'w1 Axis'},
yaxis: {range: [0, 1], title:'w0 Axis'}
}
}
// 해당 레이아웃을 선택해서 초기화한다.
var linreg_layout = layout_linreg[cur_data];
var cost_layout = layout_cost[cur_data];
//////////////////////////////////////////////////////////////////////////////////////////////
// REGRESSION START
//////////////////////////////////////////////////////////////////////////////////////////////
var w = 0;
var b = 0;
var timer_id = -1;
// 최초 직선 0*x+0 에 대해서 직선을 한번 그린다.
var trace1 = {
x: domain[cur_data],
y: domain[cur_data].map(function(x){return w*x + b;}),
name: 'hyphothesis',
};
// 미리 세팅된 점데이터
var data = {'line' :{
x: [-0.75, -0.6, -0.51, -0.3, -0.15, 0.15, 0.45, 0.53, 0.85, 0.98],
y: [ 0.00, -0.4, 0.02, 0.0, 0.33, 0.50, 0.50, 0.83, 0.70, 0.90],
mode: 'markers',
type: 'scatter',
name: 'data'
},
'sin': {
x: [ 0. , 0.1111, 0.2222, 0.3333, 0.4444, 0.5556, 0.6667, 0.7778, 0.8889, 1. ],
y: [ -0.0834, 0.6315, 0.5576, 1.1941, -0.0167, -0.5104, -0.7654, -1.2339, -0.8544, -0.1818],
mode: 'markers',
type: 'scatter',
name: 'data'
}
};
// 현재 선택된 데이터를 trace2에 대입하여 초기화 한다.
var trace2 = data[cur_data];
var data_regression = [trace1, trace2];
// 회귀 그래프를 그린다.
Plotly.plot(GRAPH, data_regression, linreg_layout);
/////////////////////////////////////////////////////////////////////////////////////////////
// REGRESSION END
//////////////////////////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////////////////////////////////////////////////////////
// COST FUNCTION START
//////////////////////////////////////////////////////////////////////////////////////////////
$('#cost_meter').html('COST : <span id="cost_value">'+cost(w, b, trace2.x, trace2.y).toFixed(3)+'</span>');
var W = linspace(layout_cost[cur_data]['xaxis']['range'][0], layout_cost[cur_data]['xaxis']['range'][1], 50);
var B = linspace(layout_cost[cur_data]['yaxis']['range'][0], layout_cost[cur_data]['yaxis']['range'][1], 50);
var Z = draw_cost(W, B, trace2);
// COST FUNC. 데이터
var trace3 = {
z: Z, x: W, y: B,
type: 'contour',
colorscale: 'Portland',
name: 'cost'
}
// 현재 위치
var trace4 = {
x: [w], y: [b],
type: 'scatter',
name: 'current',
visible: false
}
var data_contour = [ trace3, trace4 ];
Plotly.plot(GRAPH2, data_contour, cost_layout);
//////////////////////////////////////////////////////////////////////////////////////////////
// COST FUNCTION END
//////////////////////////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////////////////////////////////////////////////////////
// TABLE INIT START
//////////////////////////////////////////////////////////////////////////////////////////////
$('#data-table tr').each(function(i) {
if(i > 0) {
//insert td for data
var tr = $(this);
var num_data = trace2.x.length;
h = trace2.x.map( function(x){return (w*x)+b;} );
if(i == 1) { //x
for(j = 0; j < num_data; j++) {
tr.append("<td>"+trace2.x[j]+"</td>")
}
}
else if(i == 2) {//y
for(j = 0; j < num_data; j++) {
tr.append("<td>"+trace2.y[j]+"</td>")
}
}
else if(i == 3) {//h
var hs = '';
for(j = 0; j < num_data; j++) {
if(h[j] >= 0) hs = '+'+h[j].toFixed(3).toString();
else hs = h[j].toFixed(3).toString();
tr.append("<td>"+hs+"</td>");
}
}
else { //(h-y)^2
for(j = 0; j < num_data; j++) {
tr.append("<td>"+Math.pow(h[j]-trace2.y[j], 2).toFixed(3)+"</td>");
}
}
}
});
//////////////////////////////////////////////////////////////////////////////////////////////
// TABLE INIT END
//////////////////////////////////////////////////////////////////////////////////////////////
var dial_w = JogDial(document.getElementById('jog_dial_w'),
{debug:true, wheelSize:'100px', knobSize:'30px', degreeStartAt: 0}).on('mousemove', function(evt) {
w = Math.round(evt.target.rotation)/500.;
b = parseFloat($('#b_value').text());
$('#jog_dial_w_meter').html('w<sub>1</sub> : <span id="w_value">'+w+'</span>');
$('#cost_meter').html('COST : <span id="cost_value">'+cost(w, b, trace2.x, trace2.y).toFixed(3)+'</span>');
h = domain[cur_data].map( function(x){return (w*x)+b;} );
$('#hypothesis').children('td').each(function(i) {
hs = (w*trace2.x[i]+b).toFixed(3)
if(hs >= 0) hs = '+'+hs.toString();
else hs = hs.toString();
$(this).html(hs);
});
$('#indivusual_cost').children('td').each(function(i) {
$(this).html( Math.pow((w*trace2.x[i]+b)-trace2.y[i], 2).toFixed(3) );
});
Plotly.restyle(GRAPH, {y: [h]}, 0);
Plotly.restyle(GRAPH2, 'x', [[w]], 1);
});
var dial_b = JogDial(document.getElementById('jog_dial_b'),
{debug:true, wheelSize:'100px', knobSize:'30px', degreeStartAt: 0}).on('mousemove', function(evt) {
b = Math.round(evt.target.rotation)/500.;
w = parseFloat($('#w_value').text());
$('#jog_dial_b_meter').html('w<sub>0</sub> : <span id="b_value">'+b+'</span>');
$('#cost_meter').html('COST : <span id="cost_value">'+cost(w, b, trace2.x, trace2.y).toFixed(3)+'</span>');
h = domain[cur_data].map(function(x){return (w*x)+b;} );
$('#hypothesis').children('td').each(function(i) {
hs = (w*trace2.x[i]+b).toFixed(3)
if(hs >= 0) hs = '+'+hs.toString();
else hs = hs.toString();
$(this).html(hs);
});
$('#indivusual_cost').children('td').each(function(i) {
$(this).html( Math.pow((w*trace2.x[i]+b)-trace2.y[i], 2).toFixed(3) );
});
Plotly.restyle(GRAPH, {y: [h]}, 0);
Plotly.restyle(GRAPH2, 'y', [[b]], 1);
});
$( "select" ).change(function() {
//데이터 셋 교체
cur_data = $( this ).val();
linreg_layout = layout_linreg[cur_data];
cost_layout = layout_cost[cur_data];
trace2 = data[cur_data];
// 직선 다시 그리기
trace1.x = domain[cur_data];
trace1.y = domain[cur_data].map(function(x){return w*x + b;});
data_regression = [trace1, trace2];
Plotly.newPlot(GRAPH, data_regression, linreg_layout);
// 코스트 다시 그리기
W = linspace(layout_cost[cur_data]['xaxis']['range'][0], layout_cost[cur_data]['xaxis']['range'][1], 50);
B = linspace(layout_cost[cur_data]['yaxis']['range'][0], layout_cost[cur_data]['yaxis']['range'][1], 50);
Z = draw_cost(W, B, trace2);
trace3.x = W;
trace3.y = B;
trace3.z = Z;
data_contour = [ trace3, trace4 ];
Plotly.newPlot(GRAPH2, data_contour, cost_layout);
//테이블 데이터 리셋
$('#data-x').children('td').each(function(i) {
$(this).html(trace2.x[i]);
});
$('#data-target').children('td').each(function(i) {
$(this).html(trace2.y[i]);
});
$('#hypothesis').children('td').each(function(i) {
hs = (w*trace2.x[i]+b).toFixed(3)
if(hs >= 0) hs = '+'+hs.toString();
else hs = hs.toString();
$(this).html(hs);
});
$('#indivusual_cost').children('td').each(function(i) {
$(this).html( Math.pow((w*trace2.x[i]+b)-trace2.y[i], 2).toFixed(3) );
});
});
$("#view-cost").change(function () {
if ($(this).prop("checked")) {
Plotly.restyle(GRAPH2, 'visible', true, 1);
return;
}
Plotly.restyle(GRAPH2, 'visible', false, 1);
});
$("#stop").click(function () {
if(timer_id != -1) {
clearInterval(timer_id);
}
});
$("#learn").click(function () {
const eta = 0.01;
const ms = 100;
cur_data = $("#dataset").val();
train_x = data[cur_data].x;
train_y = data[cur_data].y;
is_break = 0;
//for (step = 0; step < 1500; step++) {
timer_id = setInterval( function (){
h = train_x.map(function(x){return w*x + b;});
//console.log(w, b)
error = h.map(function(item, index) {
return item - train_y[index];
})
dw = error.map(function(item, index) {
return item * train_x[index]
}).reduce(function add(sum, currValue) {
return sum + currValue;
}, 0);
db = error.reduce(function add(sum, currValue) {
return sum + currValue;
}, 0);
//console.log( dw, db );
if (Math.sqrt(dw*dw + db*db) < 1.0e-3) {
console.log('break')
clearInterval(timer_id);
}
//if (is_break >= 100) {
// console.log(is_break)
// clearInterval(timer_id);
//}
w = w - eta*dw;
b = b - eta*db;
$('#w_value').html(w.toPrecision(3));
$('#b_value').html(b.toPrecision(3));
$('#cost_meter').html('COST : <span id="cost_value">'+cost(w, b, trace2.x, trace2.y).toFixed(3)+'</span>');
h = domain[cur_data].map(function(x){return (w*x)+b;} );
$('#hypothesis').children('td').each(function(i) {
hs = (w*trace2.x[i]+b).toFixed(3)
if(hs >= 0) hs = '+'+hs.toString();
else hs = hs.toString();
$(this).html(hs);
});
$('#indivusual_cost').children('td').each(function(i) {
$(this).html( Math.pow((w*trace2.x[i]+b)-trace2.y[i], 2).toFixed(3) );
});
Plotly.restyle(GRAPH, {y: [h]}, 0);
Plotly.restyle(GRAPH2, 'y', [[b]], 1);
Plotly.restyle(GRAPH2, 'x', [[w]], 1);
is_break += 1;
}, 100);
console.log(timer_id)
});
});
</script>
</body>
</html>