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SOM Animation with d3.js
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<!doctype html> | |
<meta charset="utf-8"> | |
<style> | |
</style> | |
<body> | |
<script src="http://d3js.org/d3.v3.min.js" type="text/javascript"></script> | |
<script> | |
var | |
n = 20, // square root of number of nodes | |
m = 1500, // number of data | |
d = 3, // dimension of data | |
sen = 10, //size of each node (pixel) | |
nodes = [], | |
data = [] | |
; | |
function random(){ | |
return Math.floor(Math.random() * 256); | |
} | |
// generate data | |
for(var i = 0; i < m; i++){ | |
data.push([random(), random(), random()]); | |
} | |
// initialize nodes | |
for(var i = 0; i < n * n; i++){ | |
nodes.push({ | |
x: i % n, | |
y: Math.floor(i / n), | |
value: [random(), random(), random()] | |
}); | |
} | |
function rgb(array){ | |
return 'rgb('+ array.map(function(r){return Math.round(r);}).join(',') +')'; | |
} | |
var | |
svg = d3.select('body').append('svg').attr('width', 600).attr('height', 600), | |
margin = 30, | |
width = n * sen, | |
height = n * sen | |
; | |
var | |
rgb_nodes = svg.append('g').attr('class','nodes all'), | |
r_nodes = svg.append('g').attr('class','nodes r').attr('transform', 'translate(' + (width + margin) +', 0)'), | |
g_nodes = svg.append('g').attr('class','nodes g').attr('transform', 'translate(0, ' + (height + margin) + ')'), | |
b_nodes = svg.append('g').attr('class','nodes b').attr('transform', 'translate(' + (width + margin) +', ' + (height + margin) +')'); | |
rgb_nodes | |
.selectAll('rect') | |
.data(nodes) | |
.enter().append('rect') | |
.attr('x', function(node){return node.x * sen;}) | |
.attr('y', function(node){return node.y * sen;}) | |
.attr('width', sen) | |
.attr('height', sen) | |
.style('fill', function(node){return rgb(node.value);}) | |
r_nodes | |
.selectAll('rect') | |
.data(nodes) | |
.enter().append('rect') | |
.attr('x', function(node){return node.x * sen;}) | |
.attr('y', function(node){return node.y * sen;}) | |
.attr('width', sen) | |
.attr('height', sen) | |
.style('fill', function(node){return rgb([node.value[0], 0, 0]);}) | |
g_nodes | |
.selectAll('rect') | |
.data(nodes) | |
.enter().append('rect') | |
.attr('x', function(node){return node.x * sen;}) | |
.attr('y', function(node){return node.y * sen;}) | |
.attr('width', sen) | |
.attr('height', sen) | |
.style('fill', function(node){return rgb([0, node.value[1], 0]);}) | |
b_nodes | |
.selectAll('rect') | |
.data(nodes) | |
.enter().append('rect') | |
.attr('x', function(node){return node.x * sen;}) | |
.attr('y', function(node){return node.y * sen;}) | |
.attr('width', sen) | |
.attr('height', sen) | |
.style('fill', function(node){return rgb([0, 0, node.value[2]]);}) | |
// labels | |
rgb_nodes.append('text').text('rgb').attr('x', width / 2 ).attr('y', height + 20).style('text-anchor', 'middle'); | |
r_nodes.append('text').text('r').attr('x', width / 2 ).attr('y', height + 20).style('text-anchor', 'middle'); | |
g_nodes.append('text').text('g').attr('x', width / 2 ).attr('y', height + 20).style('text-anchor', 'middle'); | |
b_nodes.append('text').text('b').attr('x', width / 2 ).attr('y', height + 20).style('text-anchor', 'middle'); | |
function distance3(a, b){ | |
return (b[0] - a[0]) * (b[0] - a[0]) + (b[1] - a[1]) * (b[1] - a[1]) + (a[2] - b[2]) * (a[2] - b[2]); | |
} | |
function distance2(a, b){ | |
return (b[0] - a[0]) * (b[0] - a[0]) + (b[1] - a[1]) * (b[1] - a[1]); | |
} | |
function learn(r, alpha){ | |
var datum, | |
min_distance, | |
min_node, | |
cd, | |
r2 = r * r, | |
d2 | |
; | |
for(var i = 0; i < m; i++){ //for each datum | |
datum = data[i]; | |
min_distance = Number.MAX_VALUE; | |
for(var j = 0; j < n * n; j++){ //for each node | |
cd = distance3(datum, nodes[j].value); | |
if(min_distance > cd){ | |
min_distance = cd; | |
min_node = nodes[j]; | |
} | |
} | |
for(var j = 0; j < n * n; j++){ | |
d2 = distance2([nodes[j].x, nodes[j].y], [min_node.x, min_node.y]); | |
if(d2 < r2){ | |
for(var k = 0; k < d; k++){ | |
nodes[j].value[k] += alpha * Math.sqrt(d2 / r2) * (datum[k] - nodes[j].value[k]); | |
} | |
} | |
} | |
} | |
} | |
function update(){ | |
rgb_nodes.selectAll('rect').transition().style('fill', function(node){return rgb(node.value);}); | |
r_nodes.selectAll('rect').transition().style('fill', function(node){return rgb([node.value[0], 0, 0]);}); | |
g_nodes.selectAll('rect').transition().style('fill', function(node){return rgb([0, node.value[1], 0]);}); | |
b_nodes.selectAll('rect').transition().style('fill', function(node){return rgb([0, 0, node.value[2]]);}); | |
} | |
var r = 10, alpha = 1, iteration = 150, count = 0; | |
var timer = setInterval(function(){ | |
count ++; | |
if(count > iteration){ | |
clearInterval(timer); | |
return; | |
} | |
learn(1 + r, alpha); | |
update(); | |
r *= 0.975; | |
alpha *= 0.985; | |
console.log(1 + r, alpha); | |
}, 300); | |
</script> | |
</body> |
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