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t-SNE Layout of LDA Topics

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.

<!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("model.json", function(error, resource) {
var topics = resource.model.topic_count;
var topicMeans = resource.model.topic_means;
var topTerms = resource.model.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.model.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>
{
"model" : {
"term_limit" : 4096,
"missing_tokens" : [ "", "NaN", "NULL", "N/A", "null", "-", "#REF!", "#VALUE!", "?", "#NULL!", "#NUM!", "#DIV/0", "n/a", "#NAME?", "NIL", "nil", "na", "#N/A", "NA" ],
"bigrams" : false,
"case_sensitive" : false,
"termset" : [ "00", "000", "00am", "00pm", "01", "02", "03", "04", "05", "06", "07", "08", "09", "0t", "10", "100", "1000", "100k", "101", "105", "109", "10am", "10k", "10mins", "10pm", "10th", "11", "110", "1100", "115", "11am", "11pm", "11th", "12", "120", "1200", "125", "12th", "13", "130", "135", "14", "140", "15", "150", "1500", "15k", "15mins", "16", "160", "16th", "17", "170", "18", "180", "1800", "18th", "19", "190", "1970", "1998", "1999", "19th", "1am", "1pm", "1st", "20", "200", "2000", "2001", "2002", "2003", "2004", "2005", "2006", "2007", "2008", "2009", "2010", "20k", "20mins", "20th", "21", "21st", "22", "220", "23", "24", "24hr", "24hrs", "25", "250", "2500", "25mpg", "25th", "26", "26mpg", "27", "28", "29", "2am", "2k", "2nd", "2pm", "30", "300", "3000", "30am", "30k", "30mpg", "30pm", "30th", "31", "32", "328", "33", "330", "34", "35", "350", "3500", "36", "37", "38", "39", "3am", "3k", "3pm", "3rd", "40", "400", "4000", "40k", "41", "42", "43", "44", "45", "450", "4500", "46", "47", "48", "49", "4am", "4cyl", "4k", "4l", "4pm", "4runner", "4th", "4wd", "4x4", "50", "500", "5000", "51", "52", "54", "55", "58", "59", "5am", "5k", "5mins", "5pm", "5th", "6'", "6'1", "6'2", "6'3", "6'4", "60", "600", "6000", "62", "65", "68", "69", "6am", "6ft", "6pm", "6th", "70", "700", "70mph", "72", "75", "75mph", "78", "79", "7am", "7pm", "7th", "80", "800", "85", "87", "88", "89", "8am", "8k", "8l", "8pm", "8th", "90", "900", "92", "93", "94", "95", "96", "97", "98", "99", "9am", "9pm", "9th", "a4", "a5", "a6", "abbey", "abcone", "ability", "abit", "able", "abroad", "abrupt", "abs", "absolutely", "abundance", "abuse", "ac", "acadia", "acceleration", "accent", "acceptable", "access", "accessories", "accident", "accomadation", "accommodation", "accomodation", "accompanied", "accord", "account", "accross", "accurate", "accustomed", "ace", "aches", "achieved", "acknowledge", "act", "action", "activities", "actually", "acura", "adapter", "adaptor", "add", "added", "additional", "address", "adequate", "adjacent", "adjoining", "adjust", "admiral", "admit", "adorable", "adults", "advance", "advantage", "adventure", "advertised", "advice", "advise", "advisor", "aesthetics", "affair", "affect", "affordable", "afraid", "aftermarket", "afternoon", "afterwards", "age", "agency", "agent", "aggressive", "agile", "ago", "agree", "ahead", "aimed", "air", "airbags", "aircon", "airconditioning", "airline", "airplane", "airport", "airways", "airy", "al", "alarm", "alas", "albeit", "albert", "albion", "alcohol", "aldgate", "alert", "alhambra", "alignment", "alike", "alive", "allergic", "alley", "allocated", "allowed", "alloy", "alot", "alright", "alternative", "altima", "altogether", "amazing", "ambassadors", "ambiance", "ambience", "ambulance", "amenities", "america", "american", "amongst", "amount", "amp", "ample", "amsterdam", "amusing", "ancient", "andaz", "angle", "angry", "ankle", "annex", "anniversary", "announced", "annoying", "answer", "anti", "anticipated", "antiques", "anxious", "anymore", "anytime", "anyway", "apartment", "apex", "apollo", "apologetic", "apologised", "apology", "appalling", "apparently", "appartment", "appealing", "appeared", "apple", "appliances", "apply", "appointed", "appreciated", "apprehensive", "approach", "appropriate", "approx", "approximately", "april", "apt", "arch", "architecture", "aren't", "arena", "argue", "argument", "argyle", "arm", "armchair", "armrest", "arosfa", "arranged", "array", "arriva", "arrived", "arrogant", "art", "ashamed", "ashburn", "ashley", "ashtray", "asian", "aside", "asleep", "aspect", "assembly", "asset", "assigned", "assistance", "associated", "assortment", "assume", "assured", "astonished", "astons", "astor", "astounding", "aswell", "ate", "athenaeum", "atm", "atmosphere", "attached", "attempt", "attending", "attention", "attic", "attitude", "attractions", "attributes", "audi", "audio", "aug", "august", "aura", "australia", "authentic", "authorisation", "authorities", "auto", "automated", "automatic", "automobile", "aux", "available", "avalon", "ave", "avenue", "average", "avg", "avni", "avoid", "avonmore", "awaiting", "awake", "award", "aware", "aways", "awd", "awesome", "awful", "awhile", "awkward", "awoken", "baby", "background", "backpackers", "backseat", "backup", "backwards", "backyard", "bacon", "bad", "badge", "baggage", "baglioni", "bags", "baked", "baker", "bakery", "balance", "balcony", "ball", "bananas", "band", "bang", "banger", "bank", "bar", "barbican", "barely", "bargain", "barkston", "barman", "barrier", "bartender", "base", "base2stay", "basement", "basic", "basin", "basis", "basket", "bass", "bath", "bathrobes", "bathroom", "bathtub", "battery", "bay", "bayswater", "bbc", "beach", "beans", "bear", "bearable", "beast", "beat", "beaten", "beautiful", "becoming", "bed", "bedbugs", "bedford", "bedroom", "bedsheets", "bedside", "bedspread", "beef", "beer", "beforehand", "beg", "beginning", "beige", "belgrave", "believe", "bellman", "bells", "belongings", "below", "belt", "ben", "bench", "bend", "beneath", "benefit", "benz", "beside", "bet", "beverages", "beware", "beyond", "bid", "bigger", "biggest", "bike", "bill", "bin", "birds", "birthday", "biscuits", "bistro", "bit", "bites", "bitten", "bitterly", "bizarre", "black", "blackfriars", "blades", "blakemore", "blakes", "blame", "bland", "blankets", "blast", "bleach", "blend", "blessing", "blew", "blind", "bliss", "block", "blond", "blood", "bloomsbury", "blown", "blows", "blue", "bluetooth", "bmw", "bmws", "board", "boasts", "boat", "body", "boiled", "boiler", "bold", "bolt", "bond", "bones", "bonus", "booked", "booth", "boots", "bordering", "boring", "borrow", "bose", "boston", "bother", "bottle", "bottom", "bought", "boulevard", "bounce", "bound", "boutique", "bowl", "box", "boy", "boyfriend", "bracket", "brainer", "brakes", "branch", "brand", "brasserie", "bread", "break", "breakfast", "breath", "breeze", "brick", "bridge", "brief", "bright", "brilliant", "bring", "brisk", "britain", "britannia", "british", "brits", "broadband", "brochure", "broke", "broken", "brompton", "broom", "brother", "brought", "brown", "browsing", "brush", "bs", "btw", "bubble", "buck", "bucket", "buckingham", "budget", "buffet", "bugs", "buick", "builders", "building", "built", "bulb", "bumper", "bumps", "bumpy", "bunch", "bunk", "buns", "burger", "burns", "burnt", "bus", "buses", "business", "busses", "bustle", "butler", "butter", "button", "butts", "buy", "buyer", "buzzing", "bw", "byron", "c300", "cab", "cabin", "cabinet", "cable", "caddy", "cadillac", "cadogan", "cafe", "café", "cake", "calculated", "caliber", "california", "called", "calm", "camaro", "camden", "camera", "camping", "camry", "can't", "canada", "canadian", "canapes", "canary", "cancel", "candles", "canned", "cant", "cap", "capable", "capacity", "capital", "car", "caravan", "card", "cardboard", "cardiff", "care", "cargo", "carpark", "carpet", "carry", "cart", "cash", "cat", "catch", "category", "catering", "cathedral", "caught", "cause", "caution", "cc", "cd", "cds", "ceiling", "celebrate", "cell", "center", "central", "centre", "century", "cereal", "chain", "chairs", "chalk", "challenge", "chamberlain", "champagne", "chance", "chandeliers", "change", "changer", "channels", "chaotic", "chap", "character", "characteristics", "charge", "charger", "charing", "charlotte", "charming", "chase", "chat", "cheap", "cheaper", "cheapest", "cheaply", "check", "checkin", "checkout", "cheerful", "cheery", "cheese", "chef", "chelsea", "cherokee", "cherry", "chest", "chevrolet", "chevy", "chic", "chicago", "chicken", "child", "children", "chill", "chilly", "china", "chinese", "chips", "chiswick", "chocolate", "choice", "choose", "chose", "chosen", "christmas", "chrome", "chrysler", "church", "cigarette", "cinema", "circle", "circulation", "circumstances", "circus", "citadines", "city", "civic", "claim", "clapham", "claridges", "class", "classic", "classy", "claustrophobic", "clean", "cleaner", "cleanest", "cleanliness", "clearance", "cleared", "clerk", "clever", "click", "clientele", "clients", "climate", "climb", "clipper", "clips", "clock", "clogged", "close", "closeby", "closer", "closest", "closet", "clothes", "club", "clue", "clunkers", "clutch", "cm", "co", "coach", "coast", "coat", "cobalt", "cockpit", "cockroaches", "cocktail", "code", "coffe", "coffee", "coin", "coke", "cold", "collapsed", "colleagues", "collection", "college", "collingham", "color", "colorado", "colour", "column", "com", "combined", "combo", "comfortable", "comfy", "coming", "command", "comment", "commercial", "committed", "commodore", "common", "communal", "communication", "community", "commute", "compact", "companion", "company", "compared", "comparison", "compartment", "compass", "compelled", "compensation", "competent", "competition", "competitors", "complain", "complaint", "complementary", "completely", "complex", "complicated", "complimentary", "compliments", "compromise", "computer", "con", "concept", "concerned", "concert", "concierge", "conclude", "conclusion", "concrete", "condensation", "conditioner", "conditioning", "conference", "confidence", "configuration", "confirmation", "confortable", "confronted", "confused", "congestion", "connection", "conscious", "consequently", "conservative", "conservatory", "consideration", "considering", "consisted", "console", "constantly", "construction", "consulting", "consumer", "consumption", "contact", "contained", "contemporary", "content", "continent", "continental", "continue", "contract", "contrary", "contrast", "contributed", "control", "convenient", "convention", "conversation", "converted", "convienent", "convinced", "convinient", "cooked", "cookies", "cool", "cooler", "cooper", "cope", "copthorne", "copy", "cord", "cordial", "corn", "corner", "cornflakes", "corolla", "corona", "corporate", "correct", "corridors", "corus", "corvette", "cos", "cost", "cosy", "cot", "cottage", "cotton", "couch", "coughing", "couldn", "couldn't", "couldnt", "count", "counter", "countless", "country", "county", "coupe", "couple", "course", "court", "courteous", "courtesy", "courtyard", "cousin", "covent", "covered", "cozy", "cr", "cracked", "crammed", "cramped", "cranley", "crap", "crappy", "crash", "crawling", "crazy", "creaking", "creaky", "cream", "create", "creature", "credit", "crescent", "crestfield", "crew", "cricket", "crisp", "criticism", "crockery", "croissants", "cromwell", "cross", "crossover", "crowded", "crowne", "cruise", "cruiser", "crv", "crying", "cts", "cube", "cubicle", "cuisine", "cultural", "cup", "cupboard", "currency", "currently", "curry", "curtains", "curves", "curzon", "cushion", "customer", "cut", "cute", "cutlery", "cuv", "cvt", "cx", "cyl", "cylinder", "dad", "daily", "damage", "damp", "dance", "dangerous", "danish", "danubius", "dare", "dark", "dash", "dashboard", "dated", "daughter", "day", "daylight", "daytime", "dc", "de", "dead", "deal", "dealer", "dealership", "dealt", "dear", "death", "debit", "dec", "decade", "deceiving", "december", "decent", "decided", "decision", "deck", "decker", "declined", "deco", "decor", "dedicated", "deep", "def", "defects", "definately", "definatley", "definatly", "definetly", "definitely", "degrees", "delay", "deli", "delicious", "delighted", "delivered", "delivery", "delmere", "deluxe", "demanded", "denied", "department", "departure", "depending", "deposit", "depressing", "described", "description", "deserted", "deserves", "design", "desired", "desk", "desperate", "despite", "dessert", "destination", "details", "determined", "detract", "developed", "device", "dial", "diana", "didn", "didn't", "didnt", "die", "diesel", "difference", "difficult", "difficulty", "dig", "digital", "dim", "dime", "diners", "dingy", "dining", "dinner", "dinning", "dip", "dire", "directly", "dirt", "dirty", "disabled", "disagree", "disapointed", "disappeared", "disappointed", "disaster", "disc", "discomfort", "discount", "discovered", "discreet", "discrete", "discussion", "disgrace", "disgusting", "dishes", "dishwasher", "disinterested", "dislike", "dismal", "dismayed", "dismissed", "dispenser", "display", "disposal", "dispute", "disrupted", "dissapointed", "dissappointed", "distance", "distant", "distinct", "distraction", "district", "disturbed", "dive", "divided", "dlr", "dock", "docklands", "doctor", "documents", "dodge", "dodgy", "doesn", "doesn't", "doesnt", "dog", "doing", "dollars", "dolphin", "dome", "domestic", "don't", "dont", "door", "doorman", "doormen", "doorstep", "doorway", "dorchester", "dorm", "dorset", "dot", "double", "doubt", "downgraded", "downhill", "downright", "downshift", "downside", "downsize", "downstairs", "downtown", "dozen", "drab", "draft", "drag", "drain", "dramatic", "drapes", "drawback", "drawers", "drawing", "draycott", "dreadful", "dream", "dreary", "dresser", "dressing", "dribble", "drift", "drilling", "drinks", "dripping", "drive", "driven", "driver", "driveway", "drop", "drove", "drug", "drunk", "dry", "dryer", "dsg", "dual", "dubious", "dublin", "duck", "due", "dukes", "dull", "dump", "dungeon", "durable", "duration", "dust", "dusty", "duty", "duvet", "dvd", "dvds", "dynamics", "décor", "eager", "ear", "earlier", "earls", "earned", "earplugs", "earth", "ease", "easier", "easiest", "easily", "east", "easter", "eastern", "easy", "easyhotel", "eat", "eaten", "eateries", "economical", "economy", "ect", "eden", "edge", "edgware", "edible", "edinburgh", "edition", "edmunds", "edward", "edwardian", "effective", "efficient", "effort", "effortless", "eg", "egerton", "eggs", "eight", "elantra", "elbow", "elderly", "electric", "electronic", "elegant", "element", "elevator", "eleven", "eliminate", "elizabeth", "else", "elsewhere", "email", "embankment", "embarrassed", "emergency", "employees", "employer", "empty", "en", "enabled", "enclave", "enclosed", "encountered", "encourage", "endless", "endure", "enemy", "energy", "engaging", "engine", "england", "english", "enhanced", "enjoyed", "enormous", "enquired", "ensuite", "ensure", "entered", "entertainment", "enthusiastic", "entire", "entrance", "entry", "environment", "epa", "equally", "equipped", "equivalent", "ergonomics", "error", "es", "escape", "escorted", "esp", "especially", "espresso", "essentially", "establishment", "estimates", "etc", "ethnic", "euro", "europe", "european", "eurostar", "euston", "eve", "evening", "event", "eventually", "everyday", "everytime", "evident", "ex", "exactly", "exaggeration", "example", "exceeded", "excellent", "except", "excessive", "exchange", "excited", "excluding", "exclusive", "excuse", "executive", "exercise", "exhaust", "exhibition", "existent", "exit", "exl", "expect", "expedia", "expensive", "experience", "experienced", "expert", "expired", "explained", "explanation", "explore", "exposed", "express", "exquisite", "extended", "extensive", "extent", "exterior", "external", "extortionate", "extra", "extractor", "extraordinary", "extremely", "eye", "f150", "fab", "fabric", "fabulous", "facade", "facilites", "facilities", "facing", "factor", "factory", "faded", "failed", "failure", "faint", "fairly", "fairway", "faith", "fake", "falcon", "fall", "fallen", "false", "familiar", "family", "famous", "fan", "fancy", "fantastic", "fare", "farm", "farther", "fashioned", "fast", "faster", "fastest", "fat", "father", "faucets", "fault", "faultless", "faulty", "favor", "favorite", "favour", "favourite", "fawlty", "fe", "fear", "features", "feb", "february", "fed", "fee", "feed", "feedback", "feel", "feet", "fell", "fellow", "female", "fi", "fiance", "field", "fifteen", "fifth", "fight", "figure", "file", "filled", "film", "filter", "filth", "filthy", "finally", "financial", "financing", "finding", "fine", "finest", "fingers", "finish", "fire", "fireplace", "firm", "firstly", "fish", "fit", "five", "fixed", "fixtures", "flag", "flakes", "flash", "flat", "flatscreen", "flaw", "flawless", "flea", "fleet", "flemings", "flew", "flex", "flexibility", "flight", "flimsy", "flip", "flooded", "floor", "floorboards", "florida", "flow", "flowers", "fluffy", "fluid", "flush", "flying", "foam", "focus", "fog", "fold", "folks", "following", "food", "fooled", "foot", "football", "footsteps", "forced", "ford", "foreign", "forester", "forever", "forget", "forgot", "forgotten", "fork", "form", "former", "forth", "fortunately", "forum", "forward", "foul", "found", "fountain", "fourth", "foyer", "fraction", "frame", "france", "frankly", "fraser", "frayed", "freak", "free", "freeview", "freeway", "freezer", "freezing", "freindly", "french", "frequent", "fresh", "freshen", "friday", "fridge", "fried", "friendlier", "friendliest", "friendliness", "friendly", "frills", "front", "frontier", "frozen", "fruit", "frustrating", "ft", "fuel", "fulfilled", "fun", "functional", "funky", "funny", "furnished", "furniture", "furthermore", "fusion", "fuss", "fussy", "future", "fwd", "fx", "fx35", "g35", "g37", "g8", "gadgets", "gain", "gal", "gallery", "gallon", "game", "gap", "garage", "garbage", "garden", "gas", "gate", "gather", "gatwick", "gauge", "gbp", "gear", "gel", "gem", "generation", "generous", "genesis", "gentle", "gentleman", "genuinely", "george", "georgian", "german", "germany", "gesture", "getaway", "getting", "gherkin", "giant", "gift", "gig", "girl", "girlfriend", "giving", "glad", "glance", "glare", "glass", "glazing", "glitch", "globe", "gloomy", "gloucester", "glove", "glowing", "gls", "gm", "gmc", "god", "goes", "gold", "golf", "gone", "gonna", "goodge", "goodies", "goodness", "google", "gordon", "gorgeous", "gotten", "gourmet", "gower", "gowns", "gps", "grab", "grace", "gracious", "grade", "grand", "grange", "granted", "grapefruit", "grateful", "gray", "greasy", "greatly", "greek", "green", "greenwich", "greeted", "gregory", "grew", "grey", "grill", "grim", "grime", "grin", "grip", "gripe", "grocery", "gross", "grotty", "ground", "grout", "growing", "grown", "grubby", "grumpy", "gs", "gt", "gti", 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0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0 ], [ 0, 3, 1, 0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 7, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 100, 4, 3, 0, 0, 0, 0, 0, 52, 34, 2, 2, 0, 5, 0, 0, 0, 0, 12, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 10, 0, 1, 42, 9, 0, 0, 1, 0 ], [ 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 1, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3 ], [ 0, 0, 1, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 39, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 6, 0, 0, 22, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 6, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 4, 0, 2, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 4, 1, 0, 7, 0, 0, 0, 8, 0, 0, 2, 5, 3, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 7, 0, 0, 0, 28, 0, 15, 0, 0, 0, 0, 0, 0, 20, 1 ], [ 0, 1, 0, 2, 0, 1, 5, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 21, 0 ], [ 0, 6, 0, 38, 0, 0, 0, 0, 0, 0, 0, 1, 45, 78, 0, 0, 1, 0, 0, 0, 0, 4, 0, 9, 0, 1, 1, 17, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0 ], [ 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 15, 0, 0, 3, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0 ], [ 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 0, 13, 0, 1, 0, 10, 10, 0, 0, 4, 0, 3, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 9, 0, 0, 0, 0, 11 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 17, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 1, 0, 0, 4 ], [ 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 1, 0, 0, 0, 10, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 1, 0, 1, 10, 0, 0, 0, 0, 1, 0, 0, 1, 0, 85, 0, 26, 6, 10, 10, 0, 36, 0, 0, 0, 29, 1, 0, 1, 0, 2, 27, 0, 10, 0, 22, 0, 0, 0, 0, 10 ], [ 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 7, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 55, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 13, 2, 5, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 7, 0, 0, 0, 0, 4, 0, 0, 2, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 28 ], [ 0, 3, 0, 91, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 11, 1, 0, 0, 0, 0, 0, 0, 0, 3 ], [ 0, 0, 0, 17, 2, 21, 11, 0, 0, 0, 0, 3, 0, 0, 2, 0, 16, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 9, 6, 0, 0, 1, 2, 0, 0, 10, 0, 256 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 4, 0, 3, 1, 6, 0, 4, 12, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 0, 8, 0, 43, 28, 0, 0, 0, 3, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 8, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 11, 0, 0, 0, 0, 1, 0, 13, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 2, 0, 1, 0, 0, 0, 3, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 2, 0, 0, 0, 0, 1, 4, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 4, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 10, 1, 2, 0, 0, 4, 0, 0, 11 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 19, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0 ] ],
"nwsum" : [ 13638, 13755, 14449, 13402, 13676, 14078, 15302, 13035, 15297, 12904, 16278, 13538, 17126, 14149, 13630, 15623, 13189, 14895, 14683, 13107, 12473, 13283, 20802, 18293, 14938, 12320, 13939, 12259, 15077, 13212, 12925, 14222, 15970, 20825, 16072, 17962, 14967, 13615, 16393, 13521 ]
}
}
/*
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.model.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.model.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;
}
// 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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