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t-SNE Layout of LDA Topics (ver 2)
Raw
README.md

A t-SNE inspired visualization of a BigML LDA model built from a subset of the UCI OpinRank dataset. Mouse over a topic to see the most influential terms.

Raw
index.html
<!DOCTYPE html>
<html>
<meta charset="utf-8">
<style>
#words {
position: absolute;
top: 50px;
left: 800px;
display: flex;
flex-direction: column;
}
</style>
<head>
<script src="//d3js.org/d3.v3.min.js" charset="utf-8"></script>
<script src="//cdnjs.cloudflare.com/ajax/libs/seedrandom/2.4.0/seedrandom.min.js"></script>
<script src="slda-dist.js" charset="utf-8"></script>
<script src="tsne.js" charset="utf-8"></script>
</head>
<body>
<svg width="850" height="500"></svg>
<div id="words"></div>
<script>
var width = 850;
var height = 500;
var colors = d3.scale.category20();
d3.json("slda-felix-model.json", function(error, resource) {
var topics = resource.lda.topic_count;
var topicMeans = resource.lda.topic_means;
var topTerms = resource.lda.top_terms;
var coords = tsneLayout(resource, "defaultseed");
var range = Array.apply(null, Array(topics)).map(function (_, i) {return i;});
// scale the tsne coordinates relative to the svg size
coords = scaleDimension(width, width/10, 0, coords);
coords = scaleDimension(height, height/10, 1, coords);
var words = d3.select("#words");
var colorFn = function (i, lightness) {
return d3.lab(lightness,
(200 * coords[i][0] / width) - 100,
(200 * coords[i][1] / height) - 100);
};
var svg = d3.select("svg");
svg.style("width", width);
svg.style("height", height);
svg.selectAll(".dot").data(range).enter()
.append("circle")
.attr("class", "dot")
.attr("r", function (i) {
// set topic radius relative to the 'topic_means' score
var r = topicMeans[i];
r = r * r * 10000;
return r;
})
.on("mouseenter", function (i) {
words.selectAll(".word").remove();
for (var k in topTerms[i]) {
words.append("text")
.attr("class", "word")
.text(topTerms[i][k][0]);
}
})
.on("mouseleave", function (i) {
words.selectAll(".word").remove();
})
.attr("cx", function (i) {return coords[i][0];})
.attr("cy", function (i) {return coords[i][1];})
.style("fill", function (i) { return colorFn(i, 80); })
.style("stroke", function (i) { return colorFn(i, 65); });
});
function scaleDimension(dimSize, buffer, dimIndex, coords) {
var minDim = coords[0][dimIndex];
var maxDim = coords[0][dimIndex];
for (var i in coords) {
minDim = Math.min(minDim, coords[i][dimIndex]);
maxDim = Math.max(maxDim, coords[i][dimIndex]);
}
var diff = maxDim - minDim;
var dimScale = dimSize - 2 * buffer;
for (var i in coords) {
coords[i][dimIndex] = (((coords[i][dimIndex] - minDim) / diff) * dimScale) + buffer;
}
return coords;
}
function tsneLayout(resource, seed) {
Math.seedrandom(seed);
var topics = resource.lda.topic_count;
var perplexity = Math.round(topics / 5);
perplexity = Math.max(perplexity, 2);
var tsne = new tsnejs.tSNE({epsilon: 10, perplexity: perplexity});
tsne.initDataDist(distMatrix(resource));
for (var k = 0; k < 300; k++) {
tsne.step();
}
return tsne.getSolution();
}
</script>
</body>
</html>
Raw
slda-dist.js
/*
Given a BigML SLDA resource, will return a function that computes
the cosine distance between two topics (referenced by their index)
*/
function cosineDistFn(resource) {
var nw = resource.lda.nw;
return function (a, b) {
var dot = 0;
var aSqr = 0;
var bSqr = 0;
for (i in nw) {
var aVal = nw[i][a];
var bVal = nw[i][b];
dot += aVal * bVal;
aSqr += aVal * aVal;
bSqr += bVal * bVal;
}
var similarity = dot / (Math.sqrt(aSqr) * Math.sqrt(bSqr));
var distance = 2 * Math.acos(similarity) / Math.PI;
return distance;
};
}
/*
Given a BigML SLDA resource, returns a distance matrix for the
topics
*/
function distMatrix (resource) {
var topics = resource.lda.topic_count;
var distFn = cosineDistFn(resource);
var matrix = new Array(topics);
for (var a = 0; a < topics; a++) {
matrix[a] = new Array(topics);
for (var b = 0; b < topics; b++) {
if (a == b) {
matrix[a][b] = 0;
} else if (a > b) {
matrix[a][b] = matrix[b][a];
} else {
matrix[a][b] = distFn(a, b);
}
}
}
return matrix;
}
Raw
slda-felix-model.json
{"category": 0, "code": 200, "columns": 2, "created": "2016-07-16T11:11:52.304000", "credits": 0, "credits_per_prediction": 0.0, "dataset": "dataset/5755b96fd202bbaa5a000003", "dataset_field_types": {"categorical": 0, "datetime": 0, "effective_fields": 1000, "items": 0, "numeric": 0, "preferred": 2, "text": 2, "total": 2}, "dataset_status": true, "dataset_type": 0, "description": "", "excluded_fields": [], "fields_meta": {"count": 2, "limit": 1000, "offset": 0, "query_total": 2, "total": 2}, "input_fields": ["000000", "000001"], "lda": {"bigrams": false, "calc_means": true, "case_sensitive": false, "fields": {"000000": {"column_number": 0, "datatype": "string", "name": "DOCNO", "optype": "text", "order": 0, "preferred": true, "summary": {"average_length": 30, "missing_count": 0, "tag_cloud": [["docno", 2250], ["0011", 18], ["0040", 18], ["0133", 16], ["0204", 16], ["0002", 15], ["0009", 15], ["0022", 15], ["0051", 15], ["0058", 15], ["0100", 15], ["0112", 15], ["0129", 15], ["0006", 14], ["0001", 13], ["0010", 13], ["0032", 13], ["0037", 13], ["0048", 13], ["0061", 13], ["0063", 13], ["0083", 13], ["0136", 13], ["0139", 13], ["0153", 13], ["ap881103", 13], ["0004", 12], ["0008", 12], ["0023", 12], ["0034", 12], ["0039", 12], ["0054", 12], ["0057", 12], ["0059", 12], ["0060", 12], ["0067", 12], ["0068", 12], ["0081", 12], ["0123", 12], ["0137", 12], ["0138", 12], ["0150", 12], ["0243", 12], ["ap880330", 12], ["ap880512", 12], ["ap881028", 12], ["0035", 11], ["0041", 11], ["0066", 11], ["0072", 11], ["0074", 11], ["0077", 11], ["0091", 11], ["0101", 11], ["0111", 11], ["0131", 11], ["0132", 11], ["0148", 11], ["0195", 11], ["0196", 11], ["0201", 11], ["0262", 11], ["ap880812", 11], ["ap881017", 11], ["0030", 10], ["0043", 10], ["0045", 10], ["0046", 10], ["0052", 10], ["0062", 10], ["0065", 10], ["0069", 10], ["0073", 10], ["0097", 10], ["0107", 10], ["0110", 10], ["0125", 10], ["0130", 10], ["0143", 10], ["0206", 10], ["0215", 10], ["0277", 10], ["ap881208", 10], ["ap900403", 10], ["ap901009", 10], ["0012", 9], ["0014", 9], ["0020", 9], ["0025", 9], ["0033", 9], ["0047", 9], ["0050", 9], ["0056", 9], ["0064", 9], ["0070", 9], ["0078", 9], ["0087", 9], ["0088", 9], ["0093", 9], ["0094", 9], ["0095", 9], ["0106", 9], ["0109", 9], ["0117", 9], ["0124", 9], ["0128", 9], ["0140", 9], ["0141", 9], ["0147", 9], ["0151", 9], ["0159", 9], ["0171", 9], ["0189", 9], ["0194", 9], ["0200", 9], ["0230", 9], ["0234", 9], ["0260", 9], ["0265", 9], ["ap880610", 9], ["ap880630", 9], ["ap880722", 9], ["ap880728", 9], ["ap880829", 9], ["ap881109", 9], ["ap900118", 9], ["ap900323", 9], ["ap900509", 9], ["ap901130", 9], ["0013", 8], ["0016", 8], ["0044", 8], ["0055", 8], ["0084", 8], ["0092", 8], ["0108", 8], ["0115", 8], ["0120", 8], ["0122", 8], ["0134", 8], ["0142", 8], ["0154", 8], ["0163", 8], ["0167", 8], ["0170", 8], ["0181", 8], ["0188", 8], ["0192", 8], ["0203", 8], ["0209", 8], ["0210", 8], ["0214", 8], ["0217", 8], ["0224", 8], ["0232", 8], ["0235", 8], ["0242", 8], ["ap880425", 8], ["ap880818", 8], ["ap880929", 8], ["ap881007", 8], ["ap900115", 8], ["ap900221", 8], ["ap900524", 8], ["ap900525", 8], ["ap900606", 8], ["ap901120", 8], ["ap901220", 8], ["0003", 7], ["0007", 7], ["0015", 7], ["0018", 7], ["0029", 7], ["0031", 7], ["0036", 7], ["0049", 7], ["0071", 7], ["0080", 7], ["0082", 7], ["0089", 7], ["0098", 7], ["0099", 7], ["0104", 7], ["0118", 7], ["0119", 7], ["0144", 7], ["0149", 7], ["0155", 7], ["0160", 7], ["0161", 7], ["0172", 7], ["0174", 7], ["0186", 7], ["0197", 7], ["0198", 7], ["0211", 7], ["0212", 7], ["0213", 7], ["0220", 7], ["0221", 7], ["0222", 7], ["0226", 7], ["0247", 7], ["0251", 7], ["ap880303", 7], ["ap880401", 7], ["ap880528", 7], ["ap880617", 7], ["ap880623", 7], ["ap880711", 7], ["ap880714", 7], ["ap880725", 7], ["ap880729", 7], ["ap880825", 7], ["ap881004", 7], ["ap881005", 7], ["ap881102", 7], ["ap881110", 7], ["ap881209", 7], ["ap900102", 7], ["ap900112", 7], ["ap900125", 7], ["ap900209", 7], ["ap900215", 7], ["ap900301", 7], ["ap900309", 7], ["ap900503", 7], ["ap900522", 7], ["ap900621", 7], ["ap900803", 7], ["ap900911", 7], ["ap901004", 7], ["ap901029", 7], ["ap901203", 7], ["0019", 6], ["0021", 6], ["0028", 6], ["0079", 6], ["0085", 6], ["0086", 6], ["0090", 6], ["0096", 6], ["0102", 6], ["0152", 6], ["0157", 6], ["0162", 6], ["0164", 6], ["0185", 6], ["0193", 6], ["0216", 6], ["0219", 6], ["0225", 6], ["0227", 6], ["0233", 6], ["0249", 6], ["0255", 6], ["0275", 6], ["ap880301", 6], ["ap880316", 6], ["ap880326", 6], ["ap880329", 6], ["ap880406", 6], ["ap880428", 6], ["ap880504", 6], ["ap880505", 6], ["ap880516", 6], ["ap880520", 6], ["ap880527", 6], ["ap880627", 6], ["ap880628", 6], ["ap880706", 6], ["ap880726", 6], ["ap880815", 6], ["ap880817", 6], ["ap880827", 6], ["ap880928", 6], ["ap881003", 6], ["ap881025", 6], ["ap881108", 6], ["ap881111", 6], ["ap881114", 6], ["ap881214", 6], ["ap881222", 6], ["ap900124", 6], ["ap900205", 6], ["ap900319", 6], ["ap900626", 6], ["ap900706", 6], ["ap900817", 6], ["ap900906", 6], ["ap901001", 6], ["ap901010", 6], ["ap901024", 6], ["ap901115", 6], ["ap901128", 6], ["ap901207", 6], ["ap901210", 6], ["0005", 5], ["0017", 5], ["0024", 5], ["0026", 5], ["0027", 5], ["0038", 5], ["0042", 5], ["0053", 5], ["0076", 5], ["0103", 5], ["0105", 5], ["0113", 5], ["0116", 5], ["0121", 5], ["0126", 5], ["0135", 5], ["0158", 5], ["0166", 5], ["0168", 5], ["0169", 5], ["0173", 5], ["0175", 5], ["0178", 5], ["0180", 5], ["0184", 5], ["0202", 5], ["0207", 5], ["0236", 5], ["0239", 5], ["0248", 5], ["0250", 5], ["0269", 5], ["0270", 5], ["0272", 5], ["0276", 5], ["0280", 5], ["0289", 5], ["ap880217", 5], ["ap880224", 5], ["ap880229", 5], ["ap880319", 5], ["ap880321", 5], ["ap880325", 5], ["ap880328", 5], ["ap880409", 5], ["ap880413", 5], ["ap880414", 5], ["ap880415", 5], ["ap880418", 5], ["ap880419", 5], ["ap880420", 5], ["ap880421", 5], ["ap880509", 5], ["ap880510", 5], ["ap880518", 5], ["ap880608", 5], ["ap880609", 5], ["ap880611", 5], ["ap880613", 5], ["ap880622", 5], ["ap880705", 5], ["ap880713", 5], ["ap880719", 5], ["ap880801", 5], ["ap880809", 5], ["ap880811", 5], ["ap880816", 5], ["ap880905", 5], ["ap880909", 5], ["ap880921", 5], ["ap880922", 5], ["ap880926", 5], ["ap880930", 5], ["ap881011", 5], ["ap881012", 5], ["ap881013", 5], ["ap881020", 5], ["ap881027", 5], ["ap881216", 5], ["ap881224", 5], ["ap900108", 5], ["ap900129", 5], ["ap900131", 5], ["ap900212", 5], ["ap900228", 5], ["ap900302", 5], ["ap900314", 5], ["ap900324", 5], ["ap900402", 5], ["ap900407", 5], ["ap900420", 5], ["ap900424", 5], ["ap900508", 5], ["ap900511", 5], ["ap900512", 5], ["ap900516", 5], ["ap900531", 5], ["ap900601", 5], ["ap900612", 5], ["ap900619", 5], ["ap900622", 5], ["ap900628", 5], ["ap900630", 5], ["ap900709", 5], ["ap900710", 5], ["ap900713", 5], ["ap900726", 5], ["ap900802", 5], ["ap900810", 5], ["ap900912", 5], ["ap901031", 5], ["ap901102", 5], ["ap901107", 5], ["ap901126", 5], ["ap901205", 5], ["ap901213", 5], ["0075", 4], ["0114", 4], ["0127", 4], ["0146", 4], ["0176", 4], ["0177", 4], ["0183", 4], ["0190", 4], ["0191", 4], ["0199", 4], ["0205", 4], ["0208", 4], ["0218", 4], ["0228", 4], ["0237", 4], ["0240", 4], ["0241", 4], ["0246", 4], ["0252", 4], ["0254", 4], ["0257", 4], ["0259", 4], ["0263", 4], ["0264", 4], ["0267", 4], ["0273", 4], ["0282", 4], ["0299", 4], ["0303", 4], ["ap880220", 4], ["ap880222", 4], ["ap880225", 4], ["ap880226", 4], ["ap880309", 4], ["ap880312", 4], ["ap880323", 4], ["ap880324", 4], ["ap880405", 4], ["ap880408", 4], ["ap880412", 4], ["ap880511", 4], ["ap880519", 4], ["ap880524", 4], ["ap880531", 4], ["ap880601", 4], ["ap880606", 4], ["ap880712", 4], ["ap880715", 4], ["ap880718", 4], ["ap880720", 4], ["ap880727", 4], ["ap880802", 4], ["ap880803", 4], ["ap880813", 4], ["ap880830", 4], ["ap880831", 4], ["ap880903", 4], ["ap880906", 4], ["ap880915", 4], ["ap880920", 4], ["ap881006", 4], ["ap881010", 4], ["ap881014", 4], ["ap881105", 4], ["ap881107", 4], ["ap881121", 4], ["ap881122", 4], ["ap881123", 4], ["ap881129", 4], ["ap881130", 4], ["ap881206", 4], ["ap881219", 4], ["ap881230", 4], ["ap900105", 4], ["ap900110", 4], ["ap900111", 4], ["ap900201", 4], ["ap900202", 4], ["ap900210", 4], ["ap900213", 4], ["ap900219", 4], ["ap900223", 4], ["ap900317", 4], ["ap900320", 4], ["ap900321", 4], ["ap900322", 4], ["ap900405", 4]], "term_forms": {}}, "term_analysis": {"case_sensitive": false, "enabled": true, "language": "none", "token_mode": "all"}}, "000001": {"column_number": 1, "datatype": "string", "name": "TEXT", "optype": "text", "order": 1, "preferred": true, "summary": {"average_length": 2493.96441, "missing_count": 2, "tag_cloud": [["reported", 1184], ["national", 1061], ["officials", 936], ["time", 932], ["day", 916], ["including", 895], ["people", 826], ["president", 816], ["week", 807], ["called", 798], ["month", 782], ["1", 778], ["government", 755], ["000", 733], ["million", 690], ["office", 632], ["plan", 627], ["2", 626], ["american", 598], ["united", 593], ["country", 591], ["force", 589], ["10", 554], ["support", 549], ["told", 545], ["percent", 536], ["issue", 530], ["5", 511], ["thursday", 499], ["3", 484], ["house", 483], ["close", 476], ["wednesday", 475], ["increase", 473], ["expected", 470], ["tuesday", 469], ["leader", 465], ["charges", 463], ["help", 461], ["city", 460], ["company", 457], ["monday", 452], ["near", 451], ["meeting", 446], ["federal", 445], ["based", 443], ["continue", 442], ["home", 442], ["market", 442], ["killed", 439], ["friday", 438], ["public", 427], ["move", 426], ["trying", 424], ["service", 422], ["operations", 418], ["major", 415], ["five", 409], ["news", 406], ["30", 405], ["election", 404], ["live", 404], ["political", 404], ["according", 402], ["20", 400], ["trade", 396], ["4", 395], ["allow", 391], ["prices", 389], ["democratic", 387], ["own", 387], ["return", 384], ["announced", 381], ["recent", 381], ["authorities", 379], ["former", 379], ["department", 377], ["industry", 377], ["look", 377], ["world", 377], ["6", 375], ["change", 375], ["released", 375], ["remain", 375], ["spokesman", 375], ["york", 374], ["believe", 368], ["business", 367], ["found", 363], ["head", 363], ["control", 362], ["hours", 362], ["party", 361], ["15", 360], ["run", 360], ["international", 358], ["investigation", 357], ["talks", 357], ["following", 355], ["rule", 353], ["vote", 351], ["received", 350], ["set", 350], ["re", 349], ["earlier", 348], ["proposed", 347], ["police", 346], ["administration", 342], ["law", 341], ["relations", 335], ["security", 334], ["program", 333], ["cause", 332], ["court", 330], ["billion", 329], ["union", 329], ["ago", 328], ["appeared", 324], ["soviet", 324], ["association", 323], ["added", 322], ["agency", 321], ["six", 321], ["12", 320], ["name", 319], ["provide", 319], ["chief", 318], ["foreign", 317], ["condition", 315], ["start", 315], ["8", 313], ["7", 312], ["offer", 311], ["hope", 310], ["organization", 310], ["night", 308], ["record", 308], ["system", 308], ["economic", 307], ["rates", 306], ["saying", 306], ["war", 306], ["power", 304], ["miles", 303], ["cost", 301], ["required", 301], ["claimed", 298], ["director", 298], ["fire", 298], ["family", 297], ["involved", 296], ["share", 295], ["100", 294], ["left", 293], ["declined", 292], ["john", 291], ["statement", 291], ["decision", 290], ["west", 290], ["washington", 289], ["criticized", 288], ["money", 287], ["demand", 286], ["white", 286], ["considered", 284], ["production", 284], ["raised", 284], ["result", 284], ["25", 283], ["agreed", 282], ["attack", 282], ["development", 282], ["signed", 281], ["co", 280], ["concern", 279], ["late", 279], ["minister", 279], ["50", 278], ["lead", 278], ["question", 277], ["hold", 276], ["leave", 276], ["past", 276], ["representatives", 276], ["carrying", 275], ["9", 274], ["effort", 273], ["death", 272], ["died", 271], ["held", 271], ["term", 271], ["bank", 270], ["pay", 270], ["chairman", 269], ["committee", 269], ["cut", 267], ["line", 266], ["attorney", 265], ["military", 265], ["policy", 263], ["center", 262], ["stock", 262], ["bush", 259], ["beginning", 258], ["building", 255], ["11", 254], ["person", 254], ["aid", 252], ["arrested", 252], ["management", 252], ["job", 251], ["reached", 251], ["estimated", 249], ["negotiations", 249], ["taking", 248], ["air", 247], ["indicated", 247], ["march", 247], ["1987", 246], ["school", 246], ["congress", 245], ["action", 244], ["sunday", 244], ["discuss", 241], ["executive", 241], ["south", 241], ["total", 240], ["defense", 239], ["secretary", 238], ["board", 237], ["seeking", 237], ["press", 236], ["street", 236], ["effect", 234], ["refused", 234], ["life", 233], ["republican", 233], ["won", 233], ["sales", 232], ["deal", 231], ["produced", 231], ["response", 231], ["40", 230], ["alleged", 230], ["interview", 230], ["university", 230], ["protest", 229], ["agreement", 228], ["district", 228], ["exchange", 228], ["500", 227], ["workers", 227], ["little", 226], ["short", 226], ["level", 225], ["april", 224], ["armed", 224], ["dollar", 224], ["information", 223], ["north", 223], ["third", 223], ["top", 223], ["position", 222], ["scheduled", 222], ["direct", 221], ["east", 221], ["fall", 221], ["campaign", 220], ["half", 220], ["drug", 219], ["gain", 219], ["protection", 219], ["funds", 218], ["hand", 218], ["inc", 218], ["fighting", 217], ["robert", 217], ["saturday", 217], ["senate", 217], ["bill", 215], ["18", 214], ["addition", 214], ["black", 214], ["comment", 214], ["immediately", 214], ["1986", 213], ["newspaper", 213], ["noted", 213], ["served", 213], ["hearing", 212], ["seven", 212], ["1988", 211], ["act", 211], ["corp", 211], ["judge", 211], ["test", 211], ["form", 210], ["strong", 210], ["approved", 209], ["failed", 209], ["hospital", 209], ["largest", 209], ["main", 209], ["sell", 207], ["filed", 206], ["previous", 205], ["financial", 204], ["accused", 203], ["stop", 203], ["vice", 203], ["visit", 203], ["central", 202], ["measure", 202], ["june", 200], ["analysts", 199], ["led", 199], ["13", 198], ["16", 198], ["ve", 198], ["final", 197], ["capital", 196], ["eight", 196], ["prison", 196], ["america", 195], ["community", 195], ["future", 195], ["private", 194], ["reduce", 194], ["average", 193], ["buy", 193], ["figures", 193], ["james", 193], ["reason", 193], ["attempt", 192], ["decided", 192], ["independent", 192], ["outside", 192], ["means", 191], ["14", 190], ["children", 190], ["didn", 190], ["television", 190], ["region", 189], ["rights", 189], ["george", 188], ["dropped", 187], ["created", 186], ["free", 186], ["peace", 186], ["appeal", 185], ["bring", 185], ["17", 184], ["assistant", 184], ["prepared", 184], ["mark", 183], ["1989", 182], ["conference", 182], ["current", 182], ["60", 181], ["economy", 181], ["play", 181], ["rose", 181], ["thousands", 181], ["sources", 180], ["county", 179], ["local", 179], ["sent", 179], ["serious", 179], ["lost", 178], ["activity", 177], ["anti", 177], 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0.056], ["government", 0.04823], ["election", 0.02708], ["leader", 0.02059], ["political", 0.02031], ["communist", 0.01725], ["opposition", 0.01668], ["national", 0.01511], ["minister", 0.01333], ["vote", 0.01319]], [["air", 0.03257], ["plane", 0.02307], ["airlines", 0.02016], ["flight", 0.02016], ["training", 0.01612], ["pilot", 0.01576], ["space", 0.0148], ["accident", 0.01427], ["airport", 0.01348], ["land", 0.01242]], [["000", 0.13739], ["lasted", 0.02189], ["received", 0.0217], ["100", 0.01871], ["claimed", 0.01669], ["including", 0.01572], ["according", 0.01274], ["500", 0.01235], ["20", 0.01167], ["200", 0.01158]], [["time", 0.02234], ["willing", 0.02058], ["liked", 0.0178], ["ones", 0.0153], ["makes", 0.01317], ["including", 0.01067], ["look", 0.01067], ["smoke", 0.00974], ["change", 0.00965], ["american", 0.00955]], [["family", 0.04129], ["children", 0.03464], ["women", 0.026], ["live", 0.02456], ["ms", 0.02376], ["life", 0.02169], ["wife", 0.02151], ["home", 0.01917], ["care", 0.01692], ["son", 0.01656]], [["highly", 0.02197], ["record", 0.01813], ["degree", 0.01515], ["texas", 0.01494], ["fair", 0.01312], ["national", 0.01291], ["stated", 0.01184], ["york", 0.01174], ["ohio", 0.01163], ["inch", 0.01142]], [["force", 0.03441], ["military", 0.03143], ["iraq", 0.02446], ["american", 0.02359], ["war", 0.01842], ["foreign", 0.01646], ["iraqi", 0.01591], ["kuwait", 0.01537], ["troops", 0.01435], ["iran", 0.01364]], [["west", 0.04433], ["south", 0.03863], ["east", 0.03386], ["german", 0.02806], ["germany", 0.02797], ["africa", 0.02086], ["de", 0.01693], ["african", 0.01581], ["country", 0.01525], ["france", 0.01385]], [["service", 0.04612], ["system", 0.04089], ["using", 0.03595], ["computer", 0.02186], ["department", 0.01874], ["business", 0.01682], ["information", 0.01642], ["project", 0.01189], ["customers", 0.01159], ["office", 0.01119]], [["company", 0.06077], ["offer", 0.02661], ["inc", 0.02044], ["willing", 0.01982], ["business", 0.0174], ["corp", 0.01693], ["share", 0.01584], ["co", 0.01569], ["firm", 0.01569], ["management", 0.01522]], [["doing", 0.03773], ["getting", 0.03657], ["don't", 0.03369], ["thinking", 0.03075], ["saying", 0.02678], ["people", 0.02609], ["liked", 0.02534], ["knowing", 0.02041], ["ones", 0.02], ["look", 0.01596]], [["rights", 0.03633], ["church", 0.01882], ["people", 0.01873], ["political", 0.01817], ["including", 0.01407], ["saying", 0.01305], ["anti", 0.01249], ["called", 0.01202], ["catholic", 0.01118], ["president", 0.0096]], [["president", 0.03489], ["reagan", 0.02961], ["house", 0.02055], ["white", 0.01946], ["meeting", 0.01745], ["investigation", 0.01711], ["generals", 0.01669], ["office", 0.01577], ["washington", 0.01527], ["secretary", 0.0146]], [["drug", 0.04522], ["officials", 0.03148], ["authorities", 0.02638], ["north", 0.01985], ["office", 0.01763], ["return", 0.01497], ["month", 0.01375], ["arrested", 0.01364], ["korea", 0.01309], ["mexico", 0.01286]], [["day", 0.07324], ["week", 0.03746], ["tuesday", 0.02922], ["wednesday", 0.02442], ["home", 0.02344], ["10", 0.02305], ["five", 0.02305], ["hours", 0.01962], ["monday", 0.01883], ["ones", 0.01609]], [["workers", 0.0459], ["union", 0.0351], ["government", 0.02644], ["willing", 0.02328], ["trade", 0.02309], ["job", 0.02291], ["labor", 0.02263], ["strike", 0.02077], ["japan", 0.02011], ["american", 0.01593]], [["stated", 0.14183], ["united", 0.0858], ["national", 0.04336], ["country", 0.03544], ["agreement", 0.02726], ["willing", 0.0206], ["international", 0.01871], ["world", 0.01638], ["major", 0.01377], ["signed", 0.0135]], [["soviet", 0.08891], ["gorbachev", 0.0314], ["union", 0.02307], ["willing", 0.02307], ["president", 0.01637], ["meeting", 0.01563], ["leader", 0.01556], ["moscow", 0.01377], ["talks", 0.01251], ["summit", 0.01191]], [["army", 0.0204], ["government", 0.02018], ["israel", 0.01858], ["rebels", 0.01637], ["peace", 0.01553], ["israeli", 0.0153], ["soldiers", 0.01424], ["military", 0.01257], ["force", 0.0115], ["killed", 0.01127]], [["bank", 0.03992], ["tax", 0.03258], ["federal", 0.029], ["money", 0.0222], ["billion", 0.01889], ["income", 0.01764], ["loan", 0.01764], ["funds", 0.0145], ["security", 0.01406], ["save", 0.01397]], [["play", 0.0151], ["film", 0.01305], ["television", 0.01305], ["time", 0.01265], ["book", 0.01257], ["willing", 0.01107], ["world", 0.01028], ["award", 0.0102], ["music", 0.01004], ["star", 0.00981]], [["bush", 0.05015], ["campaign", 0.03408], ["dukakis", 0.02958], ["democratic", 0.02746], ["republican", 0.01826], ["president", 0.01801], ["jackson", 0.01646], ["stated", 0.01601], ["candidate", 0.01492], ["election", 0.01486]], [["police", 0.07804], ["killed", 0.03463], ["death", 0.02355], ["manned", 0.02179], ["people", 0.01974], ["shot", 0.01768], ["arrested", 0.0149], ["victims", 0.01424], ["injured", 0.01226], ["ones", 0.01226]], [["court", 0.04737], ["charges", 0.0306], ["judge", 0.02407], ["attorney", 0.02372], ["trial", 0.01805], ["prison", 0.01689], ["alleged", 0.01649], ["sentenced", 0.0147], ["convicted", 0.01383], ["law", 0.01377]], [["house", 0.03892], ["committee", 0.03585], ["senate", 0.03421], ["bill", 0.03037], ["congress", 0.0275], ["budget", 0.02169], ["legislation", 0.01704], ["rep", 0.01581], ["sen", 0.01526], ["willing", 0.01499]], [["percent", 0.12381], ["rates", 0.04025], ["increase", 0.03157], ["month", 0.02267], ["reported", 0.01945], ["economy", 0.01586], ["economic", 0.01263], ["average", 0.01191], ["national", 0.01069], ["declined", 0.01055]], [["million", 0.11598], ["billion", 0.03914], ["sales", 0.03181], ["lasted", 0.02573], ["1987", 0.02286], ["total", 0.02177], ["percent", 0.01848], ["1989", 0.01603], ["quarter", 0.01527], ["1988", 0.01401]], [["fire", 0.0368], ["water", 0.02525], ["miles", 0.02282], ["people", 0.01671], ["home", 0.01535], ["officials", 0.01457], ["river", 0.01331], ["near", 0.01195], ["move", 0.01137], ["north", 0.01069]]], "topic_count": 37, "topic_means": [0.0361, 0.02595, 0.02443, 0.02563, 0.0269, 0.02264, 0.02453, 0.02417, 0.02383, 0.02982, 0.02718, 0.02443, 0.02553, 0.02696, 0.02352, 0.02676, 0.02386, 0.02342, 0.02997, 0.03067, 0.02429, 0.02541, 0.02278, 0.02624, 0.02389, 0.02567, 0.02759, 0.02928, 0.02508, 0.031, 0.03076, 0.03303, 0.03689, 0.02895, 0.03012, 0.0274, 0.02528]}, "locale": "en-us", "max_columns": 2, "max_rows": 2250, "name": "AP articles dataset dataset's LDA", "number_of_batchpredictions": 0, "number_of_predictions": 0, "number_of_public_predictions": 0, "ordering": 0, "out_of_bag": false, "price": 0.0, "private": true, "project": null, "range": [1, 2250], "replacement": false, "resource": "lda/578a1678d202bbdd1600000c", "rows": 2250, "sample_rate": 1.0, "shared": false, "size": 5683601, "source": "source/5755b957d202bbaa5b000005", "source_status": true, "status": {"code": 5, "elapsed": 127882, "message": "The LDA has been created", "progress": 1.0}, "subscription": true, "tags": [], "updated": "2016-07-16T11:14:02.521000", "white_box": false}
Raw
tsne.js
// from https://github.com/karpathy/tsnejs
// create main global object
var tsnejs = tsnejs || { REVISION: 'ALPHA' };
(function(global) {
"use strict";
// utility function
var assert = function(condition, message) {
if (!condition) { throw message || "Assertion failed"; }
}
// syntax sugar
var getopt = function(opt, field, defaultval) {
if(opt.hasOwnProperty(field)) {
return opt[field];
} else {
return defaultval;
}
}
// return 0 mean unit standard deviation random number
var return_v = false;
var v_val = 0.0;
var gaussRandom = function() {
if(return_v) {
return_v = false;
return v_val;
}
var u = 2*Math.random()-1;
var v = 2*Math.random()-1;
var r = u*u + v*v;
if(r == 0 || r > 1) return gaussRandom();
var c = Math.sqrt(-2*Math.log(r)/r);
v_val = v*c; // cache this for next function call for efficiency
return_v = true;
return u*c;
}
// return random normal number
var randn = function(mu, std){ return mu+gaussRandom()*std; }
// utilitity that creates contiguous vector of zeros of size n
var zeros = function(n) {
if(typeof(n)==='undefined' || isNaN(n)) { return []; }
if(typeof ArrayBuffer === 'undefined') {
// lacking browser support
var arr = new Array(n);
for(var i=0;i<n;i++) { arr[i]= 0; }
return arr;
} else {
return new Float64Array(n); // typed arrays are faster
}
}
// utility that returns 2d array filled with random numbers
// or with value s, if provided
var randn2d = function(n,d,s) {
var uses = typeof s !== 'undefined';
var x = [];
for(var i=0;i<n;i++) {
var xhere = [];
for(var j=0;j<d;j++) {
if(uses) {
xhere.push(s);
} else {
xhere.push(randn(0.0, 1e-4));
}
}
x.push(xhere);
}
return x;
}
// compute L2 distance between two vectors
var L2 = function(x1, x2) {
var D = x1.length;
var d = 0;
for(var i=0;i<D;i++) {
var x1i = x1[i];
var x2i = x2[i];
d += (x1i-x2i)*(x1i-x2i);
}
return d;
}
// compute pairwise distance in all vectors in X
var xtod = function(X) {
var N = X.length;
var dist = zeros(N * N); // allocate contiguous array
for(var i=0;i<N;i++) {
for(var j=i+1;j<N;j++) {
var d = L2(X[i], X[j]);
dist[i*N+j] = d;
dist[j*N+i] = d;
}
}
return dist;
}
// compute (p_{i|j} + p_{j|i})/(2n)
var d2p = function(D, perplexity, tol) {
var Nf = Math.sqrt(D.length); // this better be an integer
var N = Math.floor(Nf);
assert(N === Nf, "D should have square number of elements.");
var Htarget = Math.log(perplexity); // target entropy of distribution
var P = zeros(N * N); // temporary probability matrix
var prow = zeros(N); // a temporary storage compartment
for(var i=0;i<N;i++) {
var betamin = -Infinity;
var betamax = Infinity;
var beta = 1; // initial value of precision
var done = false;
var maxtries = 50;
// perform binary search to find a suitable precision beta
// so that the entropy of the distribution is appropriate
var num = 0;
while(!done) {
//debugger;
// compute entropy and kernel row with beta precision
var psum = 0.0;
for(var j=0;j<N;j++) {
var pj = Math.exp(- D[i*N+j] * beta);
if(i===j) { pj = 0; } // we dont care about diagonals
prow[j] = pj;
psum += pj;
}
// normalize p and compute entropy
var Hhere = 0.0;
for(var j=0;j<N;j++) {
var pj = prow[j] / psum;
prow[j] = pj;
if(pj > 1e-7) Hhere -= pj * Math.log(pj);
}
// adjust beta based on result
if(Hhere > Htarget) {
// entropy was too high (distribution too diffuse)
// so we need to increase the precision for more peaky distribution
betamin = beta; // move up the bounds
if(betamax === Infinity) { beta = beta * 2; }
else { beta = (beta + betamax) / 2; }
} else {
// converse case. make distrubtion less peaky
betamax = beta;
if(betamin === -Infinity) { beta = beta / 2; }
else { beta = (beta + betamin) / 2; }
}
// stopping conditions: too many tries or got a good precision
num++;
if(Math.abs(Hhere - Htarget) < tol) { done = true; }
if(num >= maxtries) { done = true; }
}
// console.log('data point ' + i + ' gets precision ' + beta + ' after ' + num + ' binary search steps.');
// copy over the final prow to P at row i
for(var j=0;j<N;j++) { P[i*N+j] = prow[j]; }
} // end loop over examples i
// symmetrize P and normalize it to sum to 1 over all ij
var Pout = zeros(N * N);
var N2 = N*2;
for(var i=0;i<N;i++) {
for(var j=0;j<N;j++) {
Pout[i*N+j] = Math.max((P[i*N+j] + P[j*N+i])/N2, 1e-100);
}
}
return Pout;
}
// helper function
function sign(x) { return x > 0 ? 1 : x < 0 ? -1 : 0; }
var tSNE = function(opt) {
var opt = opt || {};
this.perplexity = getopt(opt, "perplexity", 30); // effective number of nearest neighbors
this.dim = getopt(opt, "dim", 2); // by default 2-D tSNE
this.epsilon = getopt(opt, "epsilon", 10); // learning rate
this.iter = 0;
}
tSNE.prototype = {
// this function takes a set of high-dimensional points
// and creates matrix P from them using gaussian kernel
initDataRaw: function(X) {
var N = X.length;
var D = X[0].length;
assert(N > 0, " X is empty? You must have some data!");
assert(D > 0, " X[0] is empty? Where is the data?");
var dists = xtod(X); // convert X to distances using gaussian kernel
this.P = d2p(dists, this.perplexity, 1e-4); // attach to object
this.N = N; // back up the size of the dataset
this.initSolution(); // refresh this
},
// this function takes a given distance matrix and creates
// matrix P from them.
// D is assumed to be provided as a list of lists, and should be symmetric
initDataDist: function(D) {
var N = D.length;
assert(N > 0, " X is empty? You must have some data!");
// convert D to a (fast) typed array version
var dists = zeros(N * N); // allocate contiguous array
for(var i=0;i<N;i++) {
for(var j=i+1;j<N;j++) {
var d = D[i][j];
dists[i*N+j] = d;
dists[j*N+i] = d;
}
}
this.P = d2p(dists, this.perplexity, 1e-4);
this.N = N;
this.initSolution(); // refresh this
},
// (re)initializes the solution to random
initSolution: function() {
// generate random solution to t-SNE
this.Y = randn2d(this.N, this.dim); // the solution
this.gains = randn2d(this.N, this.dim, 1.0); // step gains to accelerate progress in unchanging directions
this.ystep = randn2d(this.N, this.dim, 0.0); // momentum accumulator
this.iter = 0;
},
// return pointer to current solution
getSolution: function() {
return this.Y;
},
// perform a single step of optimization to improve the embedding
step: function() {
this.iter += 1;
var N = this.N;
var cg = this.costGrad(this.Y); // evaluate gradient
var cost = cg.cost;
var grad = cg.grad;
// perform gradient step
var ymean = zeros(this.dim);
for(var i=0;i<N;i++) {
for(var d=0;d<this.dim;d++) {
var gid = grad[i][d];
var sid = this.ystep[i][d];
var gainid = this.gains[i][d];
// compute gain update
var newgain = sign(gid) === sign(sid) ? gainid * 0.8 : gainid + 0.2;
if(newgain < 0.01) newgain = 0.01; // clamp
this.gains[i][d] = newgain; // store for next turn
// compute momentum step direction
var momval = this.iter < 250 ? 0.5 : 0.8;
var newsid = momval * sid - this.epsilon * newgain * grad[i][d];
this.ystep[i][d] = newsid; // remember the step we took
// step!
this.Y[i][d] += newsid;
ymean[d] += this.Y[i][d]; // accumulate mean so that we can center later
}
}
// reproject Y to be zero mean
for(var i=0;i<N;i++) {
for(var d=0;d<this.dim;d++) {
this.Y[i][d] -= ymean[d]/N;
}
}
//if(this.iter%100===0) console.log('iter ' + this.iter + ', cost: ' + cost);
return cost; // return current cost
},
// for debugging: gradient check
debugGrad: function() {
var N = this.N;
var cg = this.costGrad(this.Y); // evaluate gradient
var cost = cg.cost;
var grad = cg.grad;
var e = 1e-5;
for(var i=0;i<N;i++) {
for(var d=0;d<this.dim;d++) {
var yold = this.Y[i][d];
this.Y[i][d] = yold + e;
var cg0 = this.costGrad(this.Y);
this.Y[i][d] = yold - e;
var cg1 = this.costGrad(this.Y);
var analytic = grad[i][d];
var numerical = (cg0.cost - cg1.cost) / ( 2 * e );
console.log(i + ',' + d + ': gradcheck analytic: ' + analytic + ' vs. numerical: ' + numerical);
this.Y[i][d] = yold;
}
}
},
// return cost and gradient, given an arrangement
costGrad: function(Y) {
var N = this.N;
var dim = this.dim; // dim of output space
var P = this.P;
var pmul = this.iter < 100 ? 4 : 1; // trick that helps with local optima
// compute current Q distribution, unnormalized first
var Qu = zeros(N * N);
var qsum = 0.0;
for(var i=0;i<N;i++) {
for(var j=i+1;j<N;j++) {
var dsum = 0.0;
for(var d=0;d<dim;d++) {
var dhere = Y[i][d] - Y[j][d];
dsum += dhere * dhere;
}
var qu = 1.0 / (1.0 + dsum); // Student t-distribution
Qu[i*N+j] = qu;
Qu[j*N+i] = qu;
qsum += 2 * qu;
}
}
// normalize Q distribution to sum to 1
var NN = N*N;
var Q = zeros(NN);
for(var q=0;q<NN;q++) { Q[q] = Math.max(Qu[q] / qsum, 1e-100); }
var cost = 0.0;
var grad = [];
for(var i=0;i<N;i++) {
var gsum = new Array(dim); // init grad for point i
for(var d=0;d<dim;d++) { gsum[d] = 0.0; }
for(var j=0;j<N;j++) {
cost += - P[i*N+j] * Math.log(Q[i*N+j]); // accumulate cost (the non-constant portion at least...)
var premult = 4 * (pmul * P[i*N+j] - Q[i*N+j]) * Qu[i*N+j];
for(var d=0;d<dim;d++) {
gsum[d] += premult * (Y[i][d] - Y[j][d]);
}
}
grad.push(gsum);
}
return {cost: cost, grad: grad};
}
}
global.tSNE = tSNE; // export tSNE class
})(tsnejs);
// export the library to window, or to module in nodejs
(function(lib) {
"use strict";
if (typeof module === "undefined" || typeof module.exports === "undefined") {
window.tsnejs = lib; // in ordinary browser attach library to window
} else {
module.exports = lib; // in nodejs
}
})(tsnejs);
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