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Association Network Demo
Raw
README.md

An association graph of correlated values found with BigML's association rules (in collaboration with Geoff Webb) on the UCI mushroom dataset.

Move the slider to increase or decrease the number of rules used to build the graph. The highest quality rules (as defined by leverage) are included first. As the number of rules increase, the "min leverage" will drop indicating that weaker associations are being displayed.

Compare to the BigML dataset and tree model representing the same data.

Mushroom bits

Raw
d3.slider.css
.d3-slider {
position: relative;
font-family: Verdana,Arial,sans-serif;
font-size: 1.1em;
border: 1px solid #aaaaaa;
z-index: 2;
}
.d3-slider-horizontal {
height: .8em;
}
.d3-slider-vertical {
width: .8em;
height: 100px;
}
.d3-slider-handle {
position: absolute;
width: 1.2em;
height: 1.2em;
border: 1px solid #d3d3d3;
border-radius: 4px;
background: #eee;
background: linear-gradient(to bottom, #eee 0%, #ddd 100%);
z-index: 3;
}
.d3-slider-handle:hover {
border: 1px solid #999999;
}
.d3-slider-horizontal .d3-slider-handle {
top: -.3em;
margin-left: -.6em;
}
.d3-slider-axis {
position: relative;
z-index: 1;
}
.d3-slider-axis-bottom {
top: .8em;
}
.d3-slider-axis-right {
left: .8em;
}
.d3-slider-axis path {
stroke-width: 0;
fill: none;
}
.d3-slider-axis line {
fill: none;
stroke: #aaa;
shape-rendering: crispEdges;
}
.d3-slider-axis text {
font-size: 11px;
}
.d3-slider-vertical .d3-slider-handle {
left: -.25em;
margin-left: 0;
margin-bottom: -.6em;
}
Raw
d3.slider.js
/*
D3.js Slider
Inspired by jQuery UI Slider
Copyright (c) 2013, Bjorn Sandvik - http://blog.thematicmapping.org
BSD license: http://opensource.org/licenses/BSD-3-Clause
*/
d3.slider = function module() {
"use strict";
// Public variables width default settings
var min = 0,
max = 100,
step = 1,
animate = true,
orientation = "horizontal",
axis = false,
margin = 50,
value,
scale;
// Private variables
var axisScale,
dispatch = d3.dispatch("slide"),
formatPercent = d3.format(".2%"),
tickFormat = d3.format(".0"),
sliderLength;
function slider(selection) {
selection.each(function() {
// Create scale if not defined by user
if (!scale) {
scale = d3.scale.linear().domain([min, max]);
}
// Start value
value = value || scale.domain()[0];
// DIV container
var div = d3.select(this).classed("d3-slider d3-slider-" + orientation, true);
var drag = d3.behavior.drag();
// Slider handle
var handle = div.append("a")
.classed("d3-slider-handle", true)
.attr("xlink:href", "#")
.on("click", stopPropagation)
.call(drag);
// Horizontal slider
if (orientation === "horizontal") {
div.on("click", onClickHorizontal);
drag.on("drag", onDragHorizontal);
handle.style("left", formatPercent(scale(value)));
sliderLength = parseInt(div.style("width"), 10);
} else { // Vertical
div.on("click", onClickVertical);
drag.on("drag", onDragVertical);
handle.style("bottom", formatPercent(scale(value)));
sliderLength = parseInt(div.style("height"), 10);
}
if (axis) {
createAxis(div);
}
function createAxis(dom) {
// Create axis if not defined by user
if (typeof axis === "boolean") {
axis = d3.svg.axis()
.ticks(Math.round(sliderLength / 100))
.tickFormat(tickFormat)
.orient((orientation === "horizontal") ? "bottom" : "right");
}
// Copy slider scale to move from percentages to pixels
axisScale = scale.copy().range([0, sliderLength]);
axis.scale(axisScale);
// Create SVG axis container
var svg = dom.append("svg")
.classed("d3-slider-axis d3-slider-axis-" + axis.orient(), true)
.on("click", stopPropagation);
var g = svg.append("g");
// Horizontal axis
if (orientation === "horizontal") {
svg.style("left", -margin);
svg.attr({
width: sliderLength + margin * 2,
height: margin
});
if (axis.orient() === "top") {
svg.style("top", -margin);
g.attr("transform", "translate(" + margin + "," + margin + ")")
} else { // bottom
g.attr("transform", "translate(" + margin + ",0)")
}
} else { // Vertical
svg.style("top", -margin);
svg.attr({
width: margin,
height: sliderLength + margin * 2
});
if (axis.orient() === "left") {
svg.style("left", -margin);
g.attr("transform", "translate(" + margin + "," + margin + ")")
} else { // right
g.attr("transform", "translate(" + 0 + "," + margin + ")")
}
}
g.call(axis);
}
// Move slider handle on click/drag
function moveHandle(pos) {
var newValue = stepValue(scale.invert(pos / sliderLength));
if (value !== newValue) {
var oldPos = formatPercent(scale(stepValue(value))),
newPos = formatPercent(scale(stepValue(newValue))),
position = (orientation === "horizontal") ? "left" : "bottom";
dispatch.slide(d3.event.sourceEvent || d3.event, value = newValue);
if (animate) {
handle.transition()
.styleTween(position, function() { return d3.interpolate(oldPos, newPos); })
.duration((typeof animate === "number") ? animate : 250);
} else {
handle.style(position, newPos);
}
}
}
// Calculate nearest step value
function stepValue(val) {
var valModStep = (val - scale.domain()[0]) % step,
alignValue = val - valModStep;
if (Math.abs(valModStep) * 2 >= step) {
alignValue += (valModStep > 0) ? step : -step;
}
return alignValue;
}
function onClickHorizontal() {
moveHandle(d3.event.offsetX || d3.event.layerX);
}
function onClickVertical() {
moveHandle(sliderLength - d3.event.offsetY || d3.event.layerY);
}
function onDragHorizontal() {
moveHandle(Math.max(0, Math.min(sliderLength, d3.event.x)));
}
function onDragVertical() {
moveHandle(sliderLength - Math.max(0, Math.min(sliderLength, d3.event.y)));
}
function stopPropagation() {
d3.event.stopPropagation();
}
});
}
// Getter/setter functions
slider.min = function(_) {
if (!arguments.length) return min;
min = _;
return slider;
}
slider.max = function(_) {
if (!arguments.length) return max;
max = _;
return slider;
}
slider.step = function(_) {
if (!arguments.length) return step;
step = _;
return slider;
}
slider.animate = function(_) {
if (!arguments.length) return animate;
animate = _;
return slider;
}
slider.orientation = function(_) {
if (!arguments.length) return orientation;
orientation = _;
return slider;
}
slider.axis = function(_) {
if (!arguments.length) return axis;
axis = _;
return slider;
}
slider.margin = function(_) {
if (!arguments.length) return margin;
margin = _;
return slider;
}
slider.value = function(_) {
if (!arguments.length) return value;
value = _;
return slider;
}
slider.scale = function(_) {
if (!arguments.length) return scale;
scale = _;
return slider;
}
d3.rebind(slider, dispatch, "on");
return slider;
}
Raw
index.html
<!DOCTYPE html>
<meta charset="utf-8">
<style>
.node {
stroke: #fff;
stroke-width: 1px;
cursor: -webkit-grab; cursor:-moz-grab;
}
.node text {
stroke: #555;
fill: #555;
stroke-width: 0.1px;
text-anchor: right;
}
.link {
fill: none;
}
.d3-slider {
background-color: #fafafa;
}
#slider {
margin-bottom: 5px;
}
#controls {
margin: 20px;
margin-top: 10px;
margin-bottom: 0px;
font: 14px sans-serif;
position: relative;
z-index: 1;
}
#slider-info {
float:left;
}
#field-select {
float:right;
}
#graph {
width:100%;
position: absolute;
z-index: 0;
}
</style>
<body>
<link rel="stylesheet" href="d3.slider.css" />
<script src="https://cdnjs.cloudflare.com/ajax/libs/d3/3.5.5/d3.min.js"></script>
<script src="d3.slider.js"></script>
<script src="item-descs.js"></script>
<div id="controls">
<div id="slider"></div>
<div id="slider-info"></div>
<div id="field-select">
<form id="color-form">
Color:
<select id="color-select">
</select>
</form>
<form id="label-form">
<input id="label-check" name="labels" value="show" type="checkbox">
Show Labels
</form>
</div>
</div>
<div id="graph"></div>
<script>
var width = 960,
height = 465;
var svg = d3.select("#graph").append("svg")
.attr("width", width)
.attr("height", height);
//725 × 340
svg.append("image")
.attr("xlink:href", "bigml-logo.png")
.attr("x", 30)
.attr("y", height - 68 - 10)
.attr("width", 145)
.attr("height", 68);
d3.json("mushrooms.json", function(error, data) {
if (error) throw error;
var model = data.model;
var itemDescriptions = itemDescriber(model);
var nodes = [],
links = [],
bilinks = [],
finalNodes = [];
var colorMode = "all";
var colorScale;
if (model.fields.length <= 10) {
colorScale = d3.scale.category10();
} else {
colorScale = d3.scale.category20();
}
d3.select("#color-select")
.on("change",
function change() {
colorMode = this.options[this.selectedIndex].value;
updateColor();
});
var colorSelector = d3.select("#color-select");
colorSelector.append("option").attr("value", "none").text("None");
colorSelector.append("option").attr("value", "all").text("All fields");
colorSelector.selectAll(".field-option")
.data(model.fields).enter()
.append("option")
.attr("class", "field-option")
.attr("value", function(d) {return d.id;})
.text(function(d) {return d.name;});
document.getElementById("color-select").selectedIndex = 1;
var showLabels = false;
document.getElementById("label-check").checked = showLabels;
d3.select("#label-check")
.on("change",
function change() {
showLabels = this.checked;
updateLabels();
});
var scores = model.rules.map(function(a) {return a.leverage;});
var maxScore = Math.max.apply(null, scores);
var minScore = Math.min.apply(null, scores);
var force = d3.layout.force()
.nodes(finalNodes)
.links(links)
.linkStrength(function(d) {
return 4 * Math.pow(scaleScore(d.score), 2);
})
.charge(function() {return -9000 / finalNodes.length;} )
.friction(0.7)
.size([width, height])
.on("tick", tick);
var itemCount = model.items.length;
var linkMap = {};
var activeItemMap = {};
var intItemMap = {};
var ruleLimit = Math.min(40, model.rules.length - 1);
var currentMinScore = 0;
var node = svg.selectAll(".node"),
link = svg.selectAll(".link");
updateLinks();
start();
d3.select('#slider').call(d3.slider()
.min(1)
.max(model.rules.length - 1)
.step(1).value(ruleLimit)
.on("slide", function(evt, value) {
ruleLimit = value;
updateLinks();
start();
}));
var tooltip = d3.select("body")
.append("div")
.style("position", "absolute")
.style("z-index", "10")
.style("visibility", "hidden")
.style("background", "rgba(255,255,255,0.8)")
.style("padding", "2px")
.style("border-style", "solid")
.style("border-width", "1px")
.style("border-color", "rgba(0,0,0,0.1)")
.text("");
// returns a score from 0.5 to 1
function scaleScore(score) {
var diff = maxScore - minScore;
if (diff == 0) diff = 1;
return 0.5 + (0.5 * (score - minScore) / diff);
}
function updateLabels() {
var textViz;
if (showLabels) {
textViz = "visible";
} else {
textViz = "hidden";
}
d3.selectAll(".node text").attr("visibility", textViz);
}
function updateLinks() {
linkMap = {};
links.length = 0;
var oldItemMap = activeItemMap;
var oldIntItemMap = intItemMap;
var oldNodes = nodes.slice(0);
activeItemMap = {};
intItemMap = {};
nodes.length = 0;
finalNodes.length = 0;
bilinks.length = 0;
currentMinScore = model.rules[ruleLimit - 1].leverage.toFixed(3);
for (var ruleId = 0; ruleId < ruleLimit; ruleId++) {
var rule = model.rules[ruleId];
var items = rule.lhs.slice(0);
items.push(rule.rhs[0]);
for (var i = 0; i < items.length; i++) {
for (var j = i+1; j < items.length; j++) {
var item1 = Math.min(items[i], items[j]);
var item2 = Math.max(items[i], items[j]);
if (!(item1 in activeItemMap)) {
activeItemMap[item1] = nodes.length;
var item;
if (item1 in oldItemMap) {
item = oldNodes[oldItemMap[item1]];
} else {
item = {itemId: item1,
fieldId: model.items[item1].field_id,
description: itemDescriptions(item1)};
}
nodes.push(item);
}
if (!(item2 in activeItemMap)) {
activeItemMap[item2] = nodes.length;
var item;
if (item2 in oldItemMap) {
item = oldNodes[oldItemMap[item2]];
} else {
item = {itemId: item2,
fieldId: model.items[item2].field_id,
description: itemDescriptions(item2)};
}
nodes.push(item);
}
var hash = hashItems(item1, item2);
if (!(hash in linkMap)) {
linkMap[hash] = {source: nodes[activeItemMap[item1]],
target: nodes[activeItemMap[item2]],
score: rule.leverage};
}
}
}
}
for (n in nodes) {finalNodes.push(nodes[n]);};
for(key in linkMap) {
if(linkMap.hasOwnProperty(key)) {
var l = linkMap[key];
var k = l.source.itemId + (10000 * l.target.itemId);
var fnode;
if (k in oldIntItemMap) {
fnode = oldIntItemMap[k];
} else {
fnode = {itemId: k};
}
intItemMap[k] = fnode;
finalNodes.push(fnode);
links.push({source: l.source, target: fnode, score: l.score});
links.push({source: fnode, target: l.target, score: l.score});
bilinks.push([l.source, fnode, l.target, l.score]);
}
}
d3.select("#slider-info").text("Rules: " + ruleLimit // bilinks.length
+ " --- Min Leverage: " + currentMinScore);
}
function hashItems(item1, item2) {
return Math.min(item1, item2) + Math.max(item1, item2) * itemCount;
}
function color(d) {
if (colorMode == "all") {
return colorScale(d.fieldId);
} else if (colorMode == d.fieldId) {
return "#FFD733";
}
return "#777777";
}
function updateColor() {
d3.selectAll("circle")
.data(nodes, function(d) { return d.itemId; })
.attr("class", "node").style("fill", color);
}
function start() {
link = link.data(bilinks,
function(d) {return d[0].itemId + "-" + d[2].itemId; });
link.enter().insert("path", ".node")
.attr("class", "link");
link.exit().remove();
node = node.data(nodes, function(d) { return d.itemId; });
ngs = node.enter().append("g").attr("class", "node");
ngs.append("circle")
.on("mouseover", function(d){
if (showLabels) return tooltip.style("visibility", "hidden");
tooltip.text(d.description);
return tooltip.style("visibility", "visible");
})
.on("mousemove", function(){
return tooltip.style("top", (d3.event.pageY-10)+"px")
.style("left", (d3.event.pageX+10)+"px");
})
.on("mouseout", function() {
return tooltip.style("visibility", "hidden");
});
ngs.append("text").text(function (d) {return d.description;})
.attr("font-size", 14)
.attr("x", 10)
.attr("y", 5);
ngs.call(force.drag);
d3.selectAll(".node circle")
.attr("r", function () {return 20 / Math.log(2 + nodes.length);});
d3.selectAll(".link")
.style("stroke",
function (d) {
var c = 220 - 60 * Math.pow(scaleScore(d[3]), 2);
return d3.rgb(c, c, c);
})
.style("stroke-width",
function (d) {
var base = 10 * Math.pow(scaleScore(d[3]), 2);
return base / Math.log(2 + nodes.length);
});
node.exit().remove();
updateColor();
updateLabels();
force.start();
}
function tick() {
node.attr("transform", function(d) {
return "translate(" + d.x + "," + d.y + ")";
});
link.attr("d", function(d) {
return "M" + d[0].x + "," + d[0].y
+ "S" + d[1].x + "," + d[1].y
+ " " + d[2].x + "," + d[2].y;
});
}
});
</script>
Raw
item-descs.js
function description(item, fieldsMap, hasComplements) {
var field = fieldsMap[item.field_id];
var itemDesc;
var start = 'bin_start' in item ? item.bin_start : item.segment_start;
var end = 'bin_end' in item ? item.bin_end : item.segment_end;
var itemName = item.name == null ? "missing" : item.name;
if (field.optype == "numeric" && (start != null || end != null)) {
var prv, nxt;
if (item.complement) {
prv = end;
nxt = start;
} else {
prv = start;
nxt = end;
}
if (prv != null && nxt != null && prv < nxt) {
itemDesc = prv.toString() + " < " + field.name + " <= " + nxt;
} else if (prv != null && nxt != null) {
itemDesc = field.name + " > " + prv + " or <= " + nxt;
} else if (prv != null) {
itemDesc = field.name + " > " + prv;
} else {
itemDesc = field.name + " <= " + nxt;
}
} else if (Object.keys(fieldsMap).length == 1 && !hasComplements) {
itemDesc = itemName;
} else if (field.optype == "categorical" || field.optype == "numeric") {
var op = item.complement ? "!=" : "=";
itemDesc = field.name + " " + op + " " + itemName;
} else if (field.optype == "text") {
var op = item.complement ? "excludes" : "includes";
itemDesc = field.name + " " + op + " " + itemName;
}
return itemDesc;
}
/* Given an arules model, returns a function that will convert an item
index to an item description. */
function itemDescriber(model) {
var items = model.items;
var fields = model.fields;
var fieldsMap = {};
for (i in fields) {
var field = fields[i];
fieldsMap[field.id == null ? i : field.id] = field;
}
var hasComplements = false;
for (i in items) {
if (items[i].complement) {
hasComplements = true;
break;
}
}
var indexToDesc = {};
for (i in items) {
indexToDesc[i] = description(items[i], fieldsMap, hasComplements);
}
return function(index) {return indexToDesc[index]};
}
Raw
mushrooms.json
{
"model" : {
"prune?" : false,
"missing_tokens" : [ "", "NaN", "NULL", "N/A", "null", "-", "#REF!", "#VALUE!", "?", "#NULL!", "#NUM!", "#DIV/0", "n/a", "#NAME?", "NIL", "nil", "na", "#N/A", "NA" ],
"max-spec" : 0,
"discretization_type" : "population",
"complement?" : false,
"locale" : "en_US",
"dataset_id" : "1440044695005",
"branching-factor" : 4,
"max-workers" : 1,
"fields" : [ {
"datatype" : "string",
"name" : "Edible?",
"optype" : "categorical",
"column_number" : 0,
"summary" : {
"missing_count" : 0,
"categories" : [ [ "Yes", 4208 ], [ "No", 3916 ] ]
},
"preferred" : true,
"order" : 0,
"term_analysis" : {
"enabled" : true
},
"id" : "000000"
}, {
"datatype" : "string",
"name" : "Cap shape",
"optype" : "categorical",
"column_number" : 1,
"summary" : {
"missing_count" : 0,
"categories" : [ [ "Convex", 3656 ], [ "Flat", 3152 ], [ "Knobbed", 828 ], [ "Bell", 452 ], [ "Sunken", 32 ], [ "Conical", 4 ] ]
},
"preferred" : true,
"order" : 1,
"term_analysis" : {
"enabled" : true
},
"id" : "000001"
}, {
"datatype" : "string",
"name" : "Cap surface",
"optype" : "categorical",
"column_number" : 2,
"summary" : {
"missing_count" : 0,
"categories" : [ [ "Scaly", 3244 ], [ "Smooth", 2556 ], [ "Fibrous", 2320 ], [ "Grooved", 4 ] ]
},
"preferred" : true,
"order" : 2,
"term_analysis" : {
"enabled" : true
},
"id" : "000002"
}, {
"datatype" : "string",
"name" : "Cap color",
"optype" : "categorical",
"column_number" : 3,
"summary" : {
"missing_count" : 0,
"categories" : [ [ "Brown", 2284 ], [ "Gray", 1840 ], [ "Red", 1500 ], [ "Yellow", 1072 ], [ "White", 1040 ], [ "Buff", 168 ], [ "Pink", 144 ], [ "Cinnamon", 44 ], [ "Green", 16 ], [ "Purple", 16 ] ]
},
"preferred" : true,
"order" : 3,
"term_analysis" : {
"enabled" : true
},
"id" : "000003"
}, {
"datatype" : "string",
"name" : "Bruises?",
"optype" : "categorical",
"column_number" : 4,
"summary" : {
"missing_count" : 0,
"categories" : [ [ "No", 4748 ], [ "Yes", 3376 ] ]
},
"preferred" : true,
"order" : 4,
"term_analysis" : {
"enabled" : true
},
"id" : "000004"
}, {
"datatype" : "string",
"name" : "Odor",
"optype" : "categorical",
"column_number" : 5,
"summary" : {
"missing_count" : 0,
"categories" : [ [ "No", 3528 ], [ "Foul", 2160 ], [ "Fishy", 576 ], [ "Spicy", 576 ], [ "Almond", 400 ], [ "Anise", 400 ], [ "Pungent", 256 ], [ "Creosote", 192 ], [ "Musty", 36 ] ]
},
"preferred" : true,
"order" : 5,
"term_analysis" : {
"enabled" : true
},
"id" : "000005"
}, {
"datatype" : "string",
"name" : "Gill attachment",
"optype" : "categorical",
"column_number" : 6,
"summary" : {
"missing_count" : 0,
"categories" : [ [ "Free", 7914 ], [ "Attached", 210 ] ]
},
"preferred" : true,
"order" : 6,
"term_analysis" : {
"enabled" : true
},
"id" : "000006"
}, {
"datatype" : "string",
"name" : "Gill spacing",
"optype" : "categorical",
"column_number" : 7,
"summary" : {
"missing_count" : 0,
"categories" : [ [ "Close", 6812 ], [ "Crowded", 1312 ] ]
},
"preferred" : true,
"order" : 7,
"term_analysis" : {
"enabled" : true
},
"id" : "000007"
}, {
"datatype" : "string",
"name" : "Gill size",
"optype" : "categorical",
"column_number" : 8,
"summary" : {
"missing_count" : 0,
"categories" : [ [ "Broad", 5612 ], [ "Narrow", 2512 ] ]
},
"preferred" : true,
"order" : 8,
"term_analysis" : {
"enabled" : true
},
"id" : "000008"
}, {
"datatype" : "string",
"name" : "Gill color",
"optype" : "categorical",
"column_number" : 9,
"summary" : {
"missing_count" : 0,
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