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Last active February 27, 2017 23:59
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Iris - Boosting PDP

A partial dependence plot of a BigML boosted ensemble built on the iris dataset.

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function cartesianProduct() {
var args = [].slice.call(arguments);
var end = args.length - 1;
var result = [];
function addTo(curr, start) {
var first = args[start];
var last = (start === end);
for (var i = 0; i < first.length; ++i) {
var copy = curr.slice();
copy.push(first[i]);
if (last) {
result.push(copy);
} else {
addTo(copy, start + 1);
}
}
}
if (args.length) {
addTo([], 0);
} else {
result.push([]);
}
return result;
}
function range (v) {
return Array.apply(null, Array(v)).map(function (_, i) {return i;})
}
function initAxis (field, canvasSize, grid) {
var axis = {id: field.id,
optype: field.optype};
if (axis.optype == "numeric") {
axis.binCount = grid.maxNumBins;
axis.initRange = [field.minimum, field.maximum];
} else {
axis.binCount = Math.min(field.order.length, grid.maxCatBins);
axis.initRange = field.order.slice(0, axis.binCount);
}
axis.currentRange = axis.initRange.slice(0);
axis.binCanvasSize = canvasSize / axis.binCount;
return axis;
}
function dataAxisFn (axis) {
if (axis.optype == "categorical") {
return function (index) {return axis.currentRange[index]};
} else {
var start = axis.currentRange[0];
var width = (axis.currentRange[1] - axis.currentRange[0]) / axis.binCount;
return function (index) {return start + index * width};
}
}
function dataFn (grid) {
var xFn = dataAxisFn(grid.x);
var yFn = dataAxisFn(grid.y);
return function (binId) {return [xFn(binId[0]), yFn(binId[1])]};
}
function initGrid(targetFields, canvasWidth, canvasHeight, maxNumBins, maxCatBins) {
var grid = {canvasWidth: canvasWidth,
canvasHeight: canvasHeight,
maxNumBins: maxNumBins,
maxCatBins: maxCatBins};
grid.x = initAxis(targetFields[0], canvasWidth, grid);
grid.y = initAxis(targetFields[1], canvasHeight, grid);
grid.dataFn = dataFn(grid);
return grid;
}
function gridFieldChange (grid, targetFields) {
if (grid.x.id != targetFields[0].id) {
grid.x = initAxis(targetFields[0], grid.canvasWidth, grid);
}
if (grid.y.id != targetFields[1].id) {
grid.y = initAxis(targetFields[1], grid.canvasHeight, grid);
}
grid.dataFn = dataFn(grid);
return grid;
}
function resetGridRanges(grid) {
grid.x.currentRange = grid.x.initRange;
if (grid.x.optype == "categorical") {
var bins = grid.x.initRange.length;
grid.x.binCount = bins;
grid.x.binCanvasSize = grid.canvasWidth / bins;
}
grid.y.currentRange = grid.y.initRange;
if (grid.y.optype == "categorical") {
var bins = grid.y.initRange.length;
grid.y.binCount = bins;
grid.y.binCanvasSize = grid.canvasHeight / bins;
}
grid.dataFn = dataFn(grid);
return grid;
}
function updateGridRanges(grid, xRange, yRange) {
grid.x.currentRange = xRange;
if (grid.x.optype == "categorical") {
grid.x.binCount = xRange.length;
grid.x.binCanvasSize = grid.canvasWidth / xRange.length;
}
grid.y.currentRange = yRange;
if (grid.y.optype == "categorical") {
grid.y.binCount = yRange.length;
grid.y.binCanvasSize = grid.canvasHeight / yRange.length;
}
grid.dataFn = dataFn(grid);
return grid;
}
function canvasXFn (grid) {
var size = grid.x.binCanvasSize;
return function(binId) {return binId[0] * size};
}
function canvasYFn (grid) {
var size = grid.y.binCanvasSize;
var canvasHeight = grid.canvasHeight;
return function(binId) {return canvasHeight - size - (binId[1] * size)};
}
function binList (grid) {
return cartesianProduct(range(grid.x.binCount), range(grid.y.binCount));
}
function coordsToGridIndex (grid, coords) {
var x = Math.floor(coords[0] / grid.x.binCanvasSize);
var y = Math.floor((grid.canvasHeight - coords[1]) / grid.y.binCanvasSize);
return [x, y];
}
</script>
<!DOCTYPE html>
<meta charset="utf-8">
<style>
.domain {
stroke: none;
fill: none;
}
.field {
cursor: pointer;
-moz-user-select: none;
-khtml-user-select: none;
-webkit-user-select: none;
-ms-user-select: none;
user-select: none;
}
.brush .extent {
stroke: #fff;
fill-opacity: .125;
shape-rendering: crispEdges;
}
svg {
-webkit-user-select: none; /* webkit (safari, chrome) browsers */
-moz-user-select: none; /* mozilla browsers */
-khtml-user-select: none; /* webkit (konqueror) browsers */
-ms-user-select: none; /* IE10+ */
}
.selector {
margin-bottom: 15px;
}
div#pdp {
float: left;
margin-right: 5px;
}
div#sidebar {
padding-top: 20px;
}
div.field-info {
margin-bottom: 10px;
}
div.field-name {
color: #999;
margin-right: 10px;
}
div.field-value {
}
</style>
<body oncontextmenu="return false;">
<div id="pdp"></div>
<div id="sidebar">
<form id="controls-form">
<div class="selector">
<div>X-Axis</div>
<select id="x-select"></select>
</div>
<div class="selector">
<div>Y-Axis</div>
<select id="y-select"></select>
</div>
<div class="selector">
<div>Show Class</div>
<select id="focus-select"></select>
</div>
<div class="selector">
<div>Dynamic Colors</div>
<select id="dynamic-colors-select">
<option value="true">True</option>
<option value="false">False</option>
</select>
</div>
</form>
<div id="x-field" class="field-info">
<div id="x-name" class="field-name"></div>
<div id="x-value" class="field-value"></div>
</div>
<div id="y-field" class="field-info">
<div id="y-name" class="field-name"></div>
<div id="y-value" class="field-value"></div>
</div>
<div id="objective" class="field-info">
<div id="objective-name" class="field-name"></div>
<div id="objective-value" class="field-value"></div>
</div>
</div>
<script src="http://d3js.org/d3.v3.min.js"></script>
<script src="mulch.js"></script>
<script src="grid.js"></script>
<script>
function toggle_option (selectId, index, disabled) {
document.getElementById(selectId)
.getElementsByTagName("option")[index].disabled = disabled;
}
var margin = {bottom: 40, left: 50, right: 20, top: 20};
var width = 640 - margin.left;
var height = 480 - margin.bottom;
var svg = d3.select("#pdp").append("svg")
.attr("width", width + margin.left + margin.right)
.attr("height", height + margin.bottom + margin.top);
var gridSVG = svg.append("g")
.attr("transform",
"translate(" + margin.left + "," + margin.top + ")");
var axisSVG = svg.append("g")
.attr("transform",
"translate(" + margin.left + "," + margin.top + ")");
var heatmapRange = ["#61f", "#1f6"];
d3.json("iris-cache.json", function(error, rawCache) {
var maxNumBins = 32;
var maxCatBins = 16;
rawCache = mulch.core.import_cache(rawCache);
var impOrder = mulch.core.importance(rawCache)
.map(function(pair) {return pair[0];});
var fields = mulch.core.fields(rawCache);
var opts = {combiner: "weighted"};
var dynamicColors = true;
var x = 0;
var y = 1;
var fieldsMap = {};
for (i in fields) {
var field = fields[i];
fieldsMap[field.id] = field;
}
var mulchedCache = mulch.core.cache_to_mulch(rawCache,
[impOrder[x], impOrder[y]]);
var objective = mulch.core.objective(mulchedCache);
var targetFields = mulch.core.fields(mulchedCache);
var regression = (objective["optype"] == "numeric");
var allClasses = !regression;
var classColors;
if (!regression) {
if (objective.categories.length > 10) {
classColors = d3.scale.category20();
} else {
classColors = d3.scale.category10();
}
classColors.domain(objective.categories);
}
d3.select("#x-name").text(targetFields[0].name);
d3.select("#x-value").text("-");
d3.select("#y-name").text(targetFields[1].name);
d3.select("#y-value").text("-");
if (allClasses) {
d3.select("#objective-name").text(objective.name + " (purity)");
} else {
d3.select("#objective-name").text(objective.name);
}
d3.select("#objective-value").text("-");
var grid = initGrid(targetFields, width, height, maxNumBins, maxCatBins);
var xSelector = d3.select("#x-select");
xSelector.selectAll(".x-option")
.data(impOrder).enter()
.append("option")
.attr("class", "x-option")
.attr("value", function(d) {return d;})
.text(function(d) {return fieldsMap[d].name;});
document.getElementById("x-select").selectedIndex = x;
toggle_option("x-select", y, true);
xSelector.on("change",
function change() {
var oldX = x;
var newX = this.selectedIndex;
toggle_option("y-select", oldX, false);
toggle_option("y-select", newX, true);
document.getElementById("y-select")
.getElementsByTagName("option")[newX].disabled = true;
x = newX;
updateMulch();
d3.select("#x-name").text(targetFields[0].name);
});
var ySelector = d3.select("#y-select");
ySelector.selectAll(".y-option")
.data(impOrder).enter()
.append("option")
.attr("class", "y-option")
.attr("value", function(d) {return d;})
.text(function(d) {return fieldsMap[d].name;});
document.getElementById("y-select").selectedIndex = y;
toggle_option("y-select", x, true);
ySelector.on("change",
function change() {
var oldY = y;
var newY = this.selectedIndex;
toggle_option("x-select", oldY, false);
toggle_option("x-select", newY, true);
document.getElementById("x-select")
.getElementsByTagName("option")[newY].disabled = true;
y = newY;
updateMulch();
d3.select("#y-name").text(targetFields[1].name);
});
d3.select("#dynamic-colors-select")
.on("change",
function change() {
dynamicColors = ("true" == this.options[this.selectedIndex].value);
updatePredictor(false, false);
});
document.getElementById("dynamic-colors-select").selectedIndex = 0;
document.getElementById("dynamic-colors-select").disabled = false;
var focusSelector = d3.select("#focus-select");
focusSelector.append("option").attr("value", "#noValue").text("Most common");
if (regression) {
document.getElementById("focus-select").disabled = true;
} else {
focusSelector.selectAll(".focus-option")
.data(objective.categories).enter()
.append("option")
.attr("class", "focus-option")
.attr("value", function(d) {return d;})
.text(function(d) {return d;});
focusSelector.on("change",
function change() {
var focus = this.options[this.selectedIndex].value;
if (focus == "#noValue") {
delete opts["focus"];
d3.select("#objective-name")
.text(objective.name + " (purity)");
allClasses = true;
} else {
opts["focus"] = focus;
d3.select("#objective-name")
.text(objective.name + ": " + focus);
allClasses = false;
}
updatePredictor(false, false);
});
}
document.getElementById("focus-select").selectedIndex = 0;
var brushX = d3.scale.identity().domain([0, width]);
var brushY = d3.scale.identity().domain([0, height]);
function brushed() {
brushExtent = brush.extent();
}
function sortNumber(a,b) {
return a - b;
}
function findRange(axis, canvasRange, scale, isX) {
var newRange = [];
if (axis.optype == "numeric") {
newRange.push(scale.invert(canvasRange[0]));
newRange.push(scale.invert(canvasRange[1]));
newRange.sort(sortNumber);
} else {
var size = axis.binCanvasSize;
var tempRange = [];
if (isX) {
tempRange.push(Math.floor(canvasRange[0] / size));
tempRange.push(Math.floor(canvasRange[1] / size));
} else {
tempRange.push(Math.floor((height - canvasRange[0]) / size));
tempRange.push(Math.floor((height - canvasRange[1]) / size));
}
tempRange.sort(sortNumber);
newRange = axis.currentRange.slice(tempRange[0], tempRange[1] + 1);
}
return newRange;
}
function brushended() {
if (!d3.event.sourceEvent) return; // only transition after input
var canvasX = [brushExtent[0][0], brushExtent[1][0]];
var canvasY = [brushExtent[0][1], brushExtent[1][1]];
if (canvasX[0] == canvasX[1] || canvasY[0] == canvasY[1]) {
grid = resetGridRanges(grid);
} else {
var xRange = findRange(grid.x, canvasX, xScale, true);
var yRange = findRange(grid.y, canvasY, yScale, false);
grid = updateGridRanges(grid, xRange, yRange);
}
d3.select(this).call(brush.extent([[0, 0], [0, 0]]));
var cat = grid.x.optype == "categorical" || grid.y.optype == "categorical";
redraw(true, cat);
}
var gx, gy;
var xAxis, yAxis;
var xScale;
var yScale;
var predictor;
var colorScale;
var pMin, pMax;
makeAxis();
updatePredictor(true, true);
var brushExtent;
var brush = d3.svg.brush()
.x(brushX)
.y(brushY)
.on("brush", brushed)
.on("brushend", brushended);
axisSVG.append("g")
.attr("class", "brush")
.on("mousemove",
function(d) {
var coords = d3.mouse(this);
var inputs = grid.dataFn(coordsToGridIndex(grid, coords));
var output = predictor(inputs);
d3.select("#x-value").text(prettyVal(inputs[0]));
d3.select("#y-value").text(prettyVal(inputs[1]));
var outText;
if (allClasses) {
outText = output[0] + " ("
+ prettyVal(100 * prettyVal(output[1])) + "%)";
} else if (regression) {
outText = prettyVal(output);
} else {
outText = prettyVal(100 * prettyVal(output)) + "%";
}
d3.select("#objective-value").text(outText);
})
.on("mouseout", function(d) {
d3.select("#x-value").text("-");
d3.select("#y-value").text("-");
d3.select("#objective-value").text("-");
})
.call(brush)
.call(brush.event);
function updateColorScale() {
if (dynamicColors) {
var binIds = binList(grid);
pMin = 1E20;
pMax = -1E20;
/* Kind of stupid, as we're doubling the # or
predictions to scale the colors */
for (var i = 0; i < binIds.length; i++) {
var p = predictor(grid.dataFn(binIds[i]));
if (allClasses) {
p = p[1];
}
pMin = Math.min(pMin, p);
pMax = Math.max(pMax, p);
}
}
if (regression || !allClasses) {
if (dynamicColors) {
colorScale = d3.scale.linear().domain([pMin, pMax]);
} else {
if (opts["focus"] != null) {
colorScale = d3.scale.linear().domain([0, 1]);
} else {
var min = objective.minimum_output;
var max = objective.maximum_output;
colorScale = d3.scale.linear().domain([min, max]);
}
}
if (regression) {
colorScale.range(heatmapRange);
} else {
var classColor = d3.rgb(classColors(opts["focus"]));
var base = d3.rgb("#000");
if (dynamicColors) {
var minLevel = Math.min(pMin, 0.2);
base.r = Math.round(classColor.r * minLevel);
base.g = Math.round(classColor.g * minLevel);
base.b = Math.round(classColor.b * minLevel);
}
colorScale.range([base, classColor]);
}
}
}
function redraw(redrawAxis, rebuildCells) {
updateColorScale();
if (redrawAxis) {
updateScales();
updateAxis();
}
if (rebuildCells) {
makeCells();
}
updateCells();
}
function updatePredictor(redrawAxis, redrawCells) {
predictor = mulch.core.mulch_to_predictor(mulchedCache, opts);
redraw(redrawAxis, redrawCells);
}
function updateMulch() {
mulchedCache = mulch.core.cache_to_mulch(rawCache,
[impOrder[x], impOrder[y]]);
objective = mulch.core.objective(mulchedCache);
targetFields = mulch.core.fields(mulchedCache);
gridFieldChange(grid, targetFields);
updatePredictor(true, true);
}
function makeAxis() {
gy = axisSVG.append("g").attr("class", "y-axis");
gx = axisSVG.append("g")
.attr("class", "x-axis")
.attr("transform", "translate(" + 0 + "," + height + ")");
}
function updateAxis() {
var currentY = gy.transition().duration(700).call(yAxis);
if (targetFields[1].optype == "categorical") {
currentY.selectAll("text")
.attr("y", (grid.y.binCanvasSize / 2) - 10)
.attr("x", 4)
.style("fill", "#fff")
.style("font-size", "13")
.style("text-anchor", "start");
}
var currentX = gx.transition().duration(700).call(xAxis);
if (targetFields[0].optype == "categorical") {
currentX.selectAll("text")
.attr("y", (grid.x.binCanvasSize / 2) - 15)
.attr("x", 4)
.attr("transform", "rotate(-90)")
.style("fill", "#fff")
.style("font-size", "13")
.style("text-anchor", "start");
}
}
function customAxisFormat(d) {
return d3.format("s")(Math.round(d * 1E4) / 1E4);
}
function updateScales () {
if (targetFields[0].optype == "numeric") {
xScale = d3.scale.linear()
.range([0, width])
.domain([grid.x.currentRange[0],
grid.x.currentRange[1]]);
} else {
xScale = d3.scale.ordinal()
.domain(grid.x.currentRange)
.rangePoints([0, width], 1);
}
if (targetFields[1].optype == "numeric") {
yScale = d3.scale.linear()
.range([height, 0])
.domain([grid.y.currentRange[0],
grid.y.currentRange[1]]);
} else {
yScale = d3.scale.ordinal()
.domain(grid.y.currentRange)
.rangePoints([height, 0], 1);
}
xAxis = d3.svg.axis()
.scale(xScale)
.orient("bottom");
yAxis = d3.svg.axis()
.scale(yScale)
.orient("left");
if (targetFields[0].optype == "numeric") {
xAxis.tickFormat(customAxisFormat);
}
if (targetFields[1].optype == "numeric") {
yAxis.tickFormat(customAxisFormat);
}
}
function prettyVal(d) {
if (typeof d === 'string' || d instanceof String) {
return d;
} else {
return d = Math.round(d * 1000) / 1000;
}
}
var fastUpdate;
function makeCells() {
fastUpdate = true;
var cxFn = canvasXFn(grid);
var cyFn = canvasYFn(grid);
gridSVG.selectAll(".cell").remove();
gridSVG.selectAll(".cell")
.data(binList(grid))
.enter()
.append("rect")
.attr("class", "cell")
.style("opacity", "0.01")
.attr("x", function(d) { return cxFn(d); })
.attr("y", function(d) { return cyFn(d); })
.attr("width", grid.x.binCanvasSize + 1)
.attr("height", grid.y.binCanvasSize + 1);
gridSVG.selectAll(".cell-xline").remove();
gridSVG.selectAll(".cell-xline")
.data(range(grid.x.binCount))
.enter()
.append("line")
.attr("class", "cell-xline")
.style("opacity", "0.2")
.style("stroke", "#000")
.attr("x1", function(d) { return grid.x.binCanvasSize * d; })
.attr("x2", function(d) { return grid.x.binCanvasSize * d; })
.attr("y1", 0)
.attr("y2", height);
gridSVG.selectAll(".cell-yline").remove();
gridSVG.selectAll(".cell-yline")
.data(range(grid.y.binCount))
.enter()
.append("line")
.attr("class", "cell-yline")
.style("opacity", "0.2")
.style("stroke", "#000")
.attr("x1", 0)
.attr("x2", width)
.attr("y1", function(d) { return grid.y.binCanvasSize * d + 1; })
.attr("y2", function(d) { return grid.y.binCanvasSize * d + 1; });
}
function updateCells() {
var updateTime;
if (fastUpdate) {
updateTime = 0;
} else {
updateTime = 700;
}
var scalePurity;
if (allClasses && dynamicColors) {
var pDiff = pMax - pMin;
if (pDiff == 0) {
scalePurity = function(d) {return d;}
} else {
scalePurity = function(d) {
return (0.75 * (d - pMin) / pDiff) + 0.25;
};
}
}
gridSVG.selectAll(".cell")
.transition()
.duration(updateTime)
.style("fill", function(d) {
var p = predictor(grid.dataFn(d));
var color;
if (allClasses) {
color = d3.rgb(classColors(p[0]));
var purity = p[1];
if (dynamicColors) {
purity = scalePurity(purity);
}
color.r = Math.round(color.r * purity);
color.g = Math.round(color.g * purity);
color.b = Math.round(color.b * purity);
} else {
color = d3.rgb(colorScale(p));
}
return color;
})
.style("stroke", "none")
.style("opacity", "1");
fastUpdate = false;
}
});
</script>
</body>
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if(typeof Math.imul == "undefined" || (Math.imul(0xffffffff,5) == 0)) {
Math.imul = function (a, b) {
var ah = (a >>> 16) & 0xffff;
var al = a & 0xffff;
var bh = (b >>> 16) & 0xffff;
var bl = b & 0xffff;
// the shift by 0 fixes the sign on the high part
// the final |0 converts the unsigned value into a signed value
return ((al * bl) + (((ah * bl + al * bh) << 16) >>> 0)|0);
}
}
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