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Visualization of Forget Table
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<!DOCTYPE html> | |
<!-- | |
This visualization shows how a distribution gets decayed to uniform | |
using a poisson based decay model. This type of decay is implemented | |
in forgettable in order to store time relevant statistical models. | |
In this visualization, the blocks on the right (darker color) | |
represent the original distribution, while the blocks on the right | |
(lighter color) are the decayed values. The decay is currently | |
happening at a constant rate and the visualization can be reset by | |
reloading the page. | |
Learn more at: http://mynameisfiber.github.com/forgettable/ | |
--> | |
<meta charset="utf-8"> | |
<style> | |
body { | |
font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; | |
margin: auto; | |
position: relative; | |
width: 960px; | |
height: 500px; | |
} | |
text { | |
font: 10px sans-serif; | |
} | |
.axis path, | |
.axis line { | |
fill: none; | |
stroke: #000; | |
shape-rendering: crispEdges; | |
} | |
</style> | |
<script src="http://d3js.org/d3.v3.min.js"></script> | |
<body> | |
<div id=vis></div> | |
<small><a href="http://github.com/mynameisfiber/">Micha Gorelick</a></small> | |
</body> | |
<script> | |
function clone(obj){ | |
if(obj == null || typeof(obj) != 'object') | |
return obj; | |
var temp = obj.constructor(); // changed | |
for(var key in obj) | |
temp[key] = clone(obj[key]); | |
return temp; | |
} | |
var n = 2, // number of layers | |
m = 58, // number of samples per layer | |
stack = d3.layout.stack(), | |
data= bumpLayer(m, .1), | |
layers = stack(d3.range(n).map(function() { return clone(data); })), | |
yGroupMax = d3.max(layers, function(layer) { return d3.max(layer, function(d) { return d.y; }); }), | |
Z = d3.sum(data, function(data) { return data.y; }), | |
origZ = d3.sum(data, function(data) { return data.y; }); | |
var margin = {top: 40, right: 10, bottom: 20, left: 10}, | |
width = 960 - margin.left - margin.right, | |
height = 500 - margin.top - margin.bottom; | |
var x = d3.scale.ordinal() | |
.domain(d3.range(m)) | |
.rangeRoundBands([0, width], .08); | |
var y = d3.scale.linear() | |
.domain([0, 1]) | |
.range([height, 0]); | |
var color = d3.scale.linear() | |
.domain([0, n - 1]) | |
.range(["#aad", "#556"]); | |
var xAxis = d3.svg.axis() | |
.scale(x) | |
.tickSize(0) | |
.tickPadding(6) | |
.orient("bottom"); | |
var svg = d3.select("#vis").append("svg") | |
.attr("width", width + margin.left + margin.right) | |
.attr("height", height + margin.top + margin.bottom) | |
.append("g") | |
.attr("transform", "translate(" + margin.left + "," + margin.top + ")"); | |
var layer = svg.selectAll(".layer") | |
.data(layers, function(d) { return d.x; }) | |
.enter().append("g") | |
.attr("class", "layer") | |
.style("fill", function(d, i) { return color(i); }); | |
var rect = layer.selectAll("rect") | |
.data(function(d) { return d; }) | |
.enter().append("rect") | |
.attr("x", function(d, i, j) { return x(d.x) + x.rangeBand() / n * j; }) | |
.attr("y", height) | |
.attr("width", x.rangeBand() / n) | |
.attr("height", 0); | |
rect.transition() | |
.delay(function(d, i) { return i * 10; }) | |
.attr("y", function(d) { return y(d.y / Z); }) | |
.attr("height", function(d) { return height - y(d.y / Z); }); | |
svg.append("g") | |
.attr("class", "x axis") | |
.attr("transform", "translate(0," + height + ")") | |
.call(xAxis); | |
function updatePlot() { | |
rect.transition() | |
.duration(100) | |
.delay(function(d, i) { return i * 10; }) | |
.attr("x", function(d, i, j) { return x(d.x) + x.rangeBand() / n * j; }) | |
.attr("width", x.rangeBand() / n) | |
.transition() | |
.attr("y", function(d, i, j) { | |
var z = 1; | |
if(j == 0) { | |
z = Z; | |
} else { | |
z = origZ; | |
} | |
console.log(z); | |
return y(d.y / z); }) | |
.attr("height", function(d, i, j) { | |
var z = 1; | |
if(j == 0) { | |
z = Z; | |
} else { | |
z = origZ; | |
} | |
return Math.max(0,height - y(d.y/z)); | |
}); | |
} | |
// Inspired by Lee Byron's test data generator. | |
function bumpLayer(n, o) { | |
function bump(a) { | |
var x = 1 / (.1 + Math.random()), | |
y = 2 * Math.random() - .5, | |
z = 10 / (.1 + Math.random()); | |
for (var i = 0; i < n; i++) { | |
var w = (i / n - y) * z; | |
a[i] += x * Math.exp(-w * w); | |
} | |
} | |
var a = [], i; | |
for (i = 0; i < n; ++i) a[i] = o + o * Math.random(); | |
for (i = 0; i < 5; ++i) bump(a); | |
return a.map(function(d, i) { return {x: i, y: Math.round(Math.max(1, 25*d))}; }); | |
} | |
// probability for the Poisson pmf | |
function poisson( x, m ) | |
{ | |
var f = 1; | |
var r; | |
r = Math.pow(m,x)*Math.exp(-m); // numerator | |
while (x > 0) // compute x! | |
{ | |
f = f*x; | |
x--; | |
} | |
return (r/f); // p(x,m) = (m^x)*exp(-m)/x! | |
} | |
function PoissonSample(lambda) | |
{ | |
var r = Math.random() | |
var P = 0; | |
var k = 0; | |
var maxiter = 500; | |
do { | |
P += poisson(k, lambda); | |
k += 1 | |
maxiter--; | |
} while(P < r && maxiter > 0) | |
if (maxiter == 0) { | |
return 0; | |
} | |
return k-1; | |
} | |
function decay() { | |
console.log("Updating"); | |
var now = new Date().getTime(); | |
var dt = now - lastDecay; | |
var lambda = rate * dt / 1000.; | |
console.log(now, dt, lambda) | |
for (var i=0; i<m; i++) { | |
var k = PoissonSample(lambda); | |
o = layers[0][i].y; | |
layers[0][i].y = Math.max(1, layers[0][i].y - k); | |
Z -= (o - layers[0][i].y); | |
} | |
lastDecay = now; | |
updatePlot(); | |
} | |
rate = 2.0; | |
lastDecay = new Date().getTime(); | |
setInterval(decay, 1000); | |
</script> |
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