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November 4, 2024 16:51
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Solution to conceptual intro to ML exercise
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<title>Heads or Tails</title> | |
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1xbmAGpBR9mNzCy5IjVfKi3CRJqvVGTn9reWJusAu6VRthGk94FM8QgjwliYkVZZ3V7WmiVPlT6OlwiF4hO5JkyUdBXlK3IzbyarKnpTGmXmcIpooOZepFjcZW1G2mBB8s1+ubIoXijmx8XGYMLlOl9i4/hioSRPqshtLdOl32ppNEaQe3gIFZf87fojY05PZUHyTJZCCqgAyuVGc3ASHQ2+QCwfsJXyTIDuzSg0R3plbNI3h31e2HIrveNGVmqRRMwHahKgn+BA+ziDsCtfXl+mGuzJWWd6QSZ961VzY8+gqrRfAbBxFNQT4XKB2l1K+UxydW+GMcjjZSY1dORGRm96cqtcSos9RsfwhXmp/aWqypTGI09VJntf6EbLd6qy/tQuIQk2VqrIv+Zq8phYsUQqn+mo6Mk5vOARWU+qb0ql7mZuvkQcC2El9kYEQUQF+a5ax8QJ8xSZyelpORFkkemJwqzllMH2GXmRkB8DGTlbixxLwh7kZ7HieGV/GVjoKx6oTBLCjPmUio5WRZ4QVpejECGfZC/Vvt+7by/C2dsgyc8tLehNYdIGM1lydwBuvaILmBmPjOHHcjgG4ykX+exE9Q7DKZmfKMXI65F0KpMofKllEHDjxXgzc7NVRlnO/uoeQib74lNyHEauTjMzaFQmcaz1yvZWoG8MTl/JPuJW2nFfESOXpfcculcZVlg/f0t1I5toZ4kRoZEPBHJ+f3JFD9OtY8NfKyitulT+mKDv1/t0XMTOwzuDRFnfUbnMcFPjw0mLtZF+PUsqJPjVG1ousq7B5xJDvGJG1XvkxtawwofftWcqE+PwXN4GPdh4B8WTxXny0vR9FqV7BcK15H7BTUU8MW9ojPRg5A2KTyWxQml/8mAEpcqwpQ8rrucWEQKJg74TeQBG7HgjceMkwNiwyoFUlmbt6+qViYQFjtnzRGGMTNgyxI9zr1dEUNkaAh+ll8m7DDH4j+hAPJSEVLzKsUJlva6dQW5r6J9D7LrMfGEs3tCriMdi+RpPNnTJy9KDycFQ9tgBCsfz8YZWWzwHI78T/Su/Xvc5eQ6BLB2hq3dR+DeRF2DjKtdF5WoWWQkE+Zzefh2sMF5h9EvEK1Hx8SorW1WktoaWOLRgJjWRoPBegndgRIcLB+DYyQ4yMBTFVzqyQAzjuYjXkk2I5VK7K4RF5luOsux4fLIsEnkP3uedxjLmXqGu1TqZb9lnlEJc0kLbveciCb+dqszPy00OJkkhUAnf0U+wtNoHhRHkI4qzdXZpBOzWUVAUA5/GBTH6b1+4yKEaZ2tl65ewd0HRFFyqkOB8Wu3whSsaEeD8Wtq/CoOhPfEKcYkFh76A5+sEuEXuyi0LgcBQ6yAiU4pfYs1Igg9g220eLqDi5WX/hMBQ/viYVYRPW4KheTrKNlSbrI29RHHJK1FR6upKkTD4q1y8b3HUIzYYtXKyORvXAHNrssS0vWy0nOLXaoY0+L1cqLzhWtlHwYnrKzkhfaATY9uuJZ3pm5IlEGTbS8UmALeO/9I9+c03kyvgfzC/2lrqflSOEsD5raEegIl5i6O51/Yef2DZNm3Wjs51byHIYvecGTNrVee9gZ/GwddLsG5a3xbfb3r0RE049Yil9R6AP2ZL4vCPoS+fdtvWcfraxqceVv0AFmD5HvB4y3ifgKd5EbGMmbipralp7kFduZp4chVLM2FTw14NwphwTFM/HOguXlrcXrO9tW450R946icDRiThHVjW7dlmlCO0Y+ltu+357ZGRznIN6nJkFhf1w84FgZ8oiHsicOwnw6PdJZP3i2u771tXsExsN2ieA2d3iBDRnyNqoR07LGsXax+Vq3k8Hgp1KAxFWa55KhROIEEQmMNL6hx69nR2qm7oQVOJCfNeS/xtsPCgIJp/+s6JReat3QN31eStEUNRrh6K46tQ0zJbEgs9yxMkNTRoBJqXdWPdm5ivZRwee9zie2dkLZtKap79rKboyYilH+CUCR2dw4Fzcan6OqjmyfPRYhvQ0Wh2gjGfQsymku5v65p5HEpwBAyGGo+BinhqMGb22wPdSzgvRzYAdvz5zxqU6hEQx0EktQ9UCHwgZC5YBBPDNdZP5M/WNgH2YRKP+gGQuZgeFALsXx+7B3N4L4ZeLZ2UB1pT8eiUWyyHE5uYGkVSWEMNLiZhdyJd6Ya6V4vH4MWm2Sr3WLBJSD649tqukpW3UflCGjAg35tzGltrnSpX0zUa+fG/QiV0AEntc+FfUCDD5OZZZxKzzJbzOHRgQ9EBWV0Nd0deu3Xrkzx627lnWfoEdO8EvpUXRnpqgztNeQZaMFq+4qyt6BUGdQBk6TDyY6r+N2EMna05d473fQe9pfnx0IVUpBMcBV/1SGgX2WA/2SSv0VpabAghPx+TtMCuGdz6tSH/tDHRkhVLZ+lpqkY93KoOprK1UCrf01mIZwutak9pcGNpA7SWV0/ALPgGxAD59TXlqn0/429UBbylYy87j0R3cI6YhpcygMrW7GmX5CXfP9VyfWXNtIa9Lq4Bg2/Ztj71KbSDyatSIp0bx2VQX4nAjS6GmqAy17nXG81bYBc0lUyWvMVqbevkJCgy34O/Wm0rp8o3ZhMbTgdw++4TmKSdvYNvr6EvVpbXTNbiSasRMTf9MraIpcu/m2YfNIH0tfbgl6biTazctG2bjS6dVG5cg95d35ikP7+LUxm9+1NJyfdNc39uICLTs4fz4FCDqaw1/wG2R+O7h31TPy0ZkQ3r/cliq237jyScwnFfsMmzB5V7sQPVpyqjL6bGZu/1HQJ9FsfvgoO60bZ5bHwbqHItq9eSbo9jP/zn27mm72ufNeBceppN6VqYXCK7yuSf+hevoRxUXL8jCYs1dVixY+6uASqbExDLHLZXJOz/Xte2KEIcE519U8NVgtPG3oKe5mqA7Lp5mnCSAZVHn22p9gewmKCo/eM5eN02ra/MLh2nEvNU7ZINlPZqjQZ3JNcEkngPAUx2E6jfJSZOwT/m2p4B950HVo34GTO1rWS8bgxE1jwIKPMPbXPErSo6hvsj/V0ui+xWbIHYOG7uG/koQpbfAvDRR2fcLg5P1C1pke1NrLofGXmBEm8ayW6wmS7gK6RXuHeIZLXgo9a4NLqFiEYcwM+MiOiNunlgCxwY31qQDYGayI058OiKL4qMHNhAzNnqkaW3o30WxFwHwFZsee3qPlB9/RecFc1JLrmSjMsO9nAQI2yBcL3Hq/p2vO5LoGwfAP9Zg5XXey9nl9eP6uZMs4QzcTRKOhXCIrnGJb/jZuzidUaTOjvvVG2tjXUOvV+bmmqzmpE3DVO1NUMTj149wq8wl3fZ8/kEFvmIwDRRZ55gqKl2qvl57auR5qG5zaXhhocDA1WaiZEnOJfmJkWRD5N4NfWywyOsM+/u8NSE4O7wvWZeQ9/Y6JBGUP5Sg6JqHu4id5d8DIVFMZzApBrx2SUe1JNABa9O0vCwI1wnMDBKPDVF8w4uejeOERBJQb6wI6CowVDoGA7UZVF8zCXqCRTKQZ2w1xzauvOYu3CZckjJ3cwN9XQS6zVKj45u2KEcQ4tyO2R05GZ8LXBaQ4PevUz9eCDNWNUlt2N6l19TLTYn+s5BoJtHGbSTZMHup+8YP04vQDaP1uwesC6yz8SlDircp3yxM/164U6SRpPUsLD7+uDHQLpZRYZH04LBHg9cXvDwfQwP5yMvXfTvQGiYxxOhRyH+5LK8mIE9DPMfN9K7qd8oP2H1TG/nnJl+mfxlRHg/2e0Pc4f6NssefkalGUe+Tu8fss5B3ZNCn+Er9qrjjL+iEewTmnUUcHYJ9trLovyBdR4zvIlqfagjwI/C9FDtqGC//6rVIZNFs3mERPqf+n8nD2dRxDYjihkR8BfLFWZoFIvBcH6DEEYYKzI82Adn+h+Aq9r9V2pJiQAAAABJRU5ErkJggg=="/> | |
<style type="text/css"> | |
body { | |
background: rgb(5, 0, 29); | |
color: #FAFAFA; | |
font-family: monospace; | |
font-size: 1.3em; | |
text-align: center; | |
} | |
img { | |
height: 12em; | |
aspect-ratio: 1; | |
} | |
.coin { | |
display: inline-block; | |
margin: 1em; | |
border: 1px solid rgba(0, 0, 0, 0); | |
border-radius: 1em; | |
padding: .5em; | |
background: rgba(255, 255, 255, .2); | |
cursor: pointer; | |
} | |
.coin:hover, .coin.warm { | |
border-color: white; | |
} | |
.coin:active, .coin.warm { | |
background: rgba(255, 255, 255, .4); | |
} | |
canvas { | |
width: 800px; | |
height: 400px; | |
display: block; | |
margin: 0 auto; | |
} | |
.color-token { | |
display: inline-block; | |
width: 1.3em; | |
height: 1.3em; | |
margin-left: 1em; | |
margin-right: .3em; | |
transform: translateY(20%); | |
} | |
</style> | |
</head> | |
<body> | |
<div> | |
<h1>Heads or Tails</h1> | |
</div> | |
<div> | |
<div class="coin" id="coin-head"> | |
<p>1</p> | |
<img 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"/> 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</div> | |
<div class="coin" id="coin-tail"> | |
<p>2</p> | |
<img 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"/> | |
</div> | |
<canvas width="800" height="400"></canvas> | |
<div id="predictorColors"> | |
</div> | |
</div> | |
<!-----------------------------------------> | |
<!---------- YOUR CODE GOES HERE ----------> | |
<!-----------------------------------------> | |
<script type="text/javascript"> | |
function predictRandom(history) { | |
return Math.random() > .5 ? 'H' : 'T'; | |
} | |
function predictHead(history) { | |
return 'H'; | |
} | |
function predictTail(history) { | |
return 'T'; | |
} | |
function predictMajority(history) { | |
if (history.map(x => x == 'H').reduce((a, b) => a + b) / history.length >= .5) { | |
return 'H'; | |
} | |
return 'T'; | |
} | |
function predictConditionedLookback1(history) { | |
const curr = history.slice(-1)[0]; | |
relevantHistory = []; | |
for (var i = 0; i < history.length - 1; i++) { | |
if (history[i] == curr) { | |
relevantHistory.push(history[i + 1]); | |
} | |
} | |
if (relevantHistory.length > 0) return predictMajority(relevantHistory); | |
return predictRandom(); | |
} | |
function predictDecisionTree(history) { | |
const K = 6; | |
const MAX_DEPTH = 6; | |
if (history.length < K + 1) return predictRandom(); | |
X = []; | |
y = []; | |
for (var i = 0; i < history.length - K; i++) { | |
X.push(history.slice(i, i + K)); | |
y.push(history[i + K]); | |
} | |
return buildDecisionTree(X, y, MAX_DEPTH)(history.slice(-K)); | |
} | |
function buildDecisionTree(X, y, maxDepth) { | |
const IMPROVEMENT_THRESHOLD = .1; | |
var pred = function() { | |
if (y.length > 1) { | |
return predictMajority(y); | |
} | |
return predictRandom(); | |
}; | |
if (X.length < 5 || maxDepth == 0) { | |
return pred; | |
} | |
const currEntropy = calcEntropy(y); | |
const n_features = X[0].length; | |
var X_parts = []; | |
var y_parts = []; | |
var bestFeatureIdx = -1; | |
var bestFeatureImprovement = IMPROVEMENT_THRESHOLD; | |
for (var i = 0; i < n_features; i++) { | |
[X_H, y_H] = filterFeature(i, 'H', X, y); | |
[X_T, y_T] = filterFeature(i, 'T', X, y); | |
const newEntropy = (y_H.length * calcEntropy(y_H) + y_T.length * calcEntropy(y_T)) / y.length; | |
const improvement = currEntropy - newEntropy; | |
if (improvement > bestFeatureImprovement) { | |
bestFeatureIdx = i; | |
bestFeatureImprovement = improvement; | |
} | |
X_parts.push([X_H, X_T]); | |
y_parts.push([y_H, y_T]); | |
} | |
if (bestFeatureIdx >= 0) { | |
var fH = buildDecisionTree(X_parts[bestFeatureIdx][0], y_parts[bestFeatureIdx][0], maxDepth - 1); | |
var fT = buildDecisionTree(X_parts[bestFeatureIdx][1], y_parts[bestFeatureIdx][1], maxDepth - 1); | |
pred = function(x) { | |
if (x[bestFeatureIdx] == 'H') { | |
return fH(x); | |
} else { | |
return fT(x); | |
} | |
} | |
} | |
return pred; | |
} | |
function filterFeature(idx, value, X, y) { | |
const indices = X.map((x, i) => [x[idx] == value, i]).filter(x => x[0]).map(x => x[1]); | |
return [indices.map(i => X[i]), indices.map(i => y[i])]; | |
} | |
function calcEntropy(y) { | |
if (y.length == 0) { | |
return Infinity; | |
} | |
const p = y.map(v => v == 'H').reduce((x, y) => x + y) / y.length; | |
if (p == 0 || p == 1) return 0; | |
return -(p * Math.log2(p) + (1 - p) * Math.log2(1 - p)); | |
} | |
</script> | |
<!-----------------------------------------> | |
<!---------- END OF CODE ----------> | |
<!-----------------------------------------> | |
<script type="text/javascript"> | |
const BOTTOM = 350; | |
const TOP = 50; | |
const LEFT = 50; | |
const RIGHT = 750; | |
const canvas = document.querySelector('canvas'); | |
const ctx = canvas.getContext('2d'); | |
var predictFuncNames = ( | |
Object.keys(window) | |
.filter(x => x.startsWith('predict')) | |
.filter(x => typeof window[x] == "function") | |
); | |
var predictScores = {}; | |
for (var i = 0; i < predictFuncNames.length; i++) { | |
predictScores[predictFuncNames[i]] = []; | |
} | |
var clickHistory = []; | |
function handleClick() { | |
for (var i = 0; i < predictFuncNames.length; i++) { | |
const funcName = predictFuncNames[i]; | |
var prediction = Math.random() > .5 ? 'H' : 'T'; | |
if (clickHistory.length > 1) { | |
prediction = window[funcName](clickHistory.slice(0, -1)); | |
} | |
predictScores[funcName].push(prediction == clickHistory.slice(-1)); | |
} | |
drawResults(predictScores); | |
} | |
function addPredictorColor(color, name) { | |
const indicator = document.createElement('span'); | |
indicator.innerHTML = `<span><div class="color-token" style="background: ${color};"></div>${name}</span>`; | |
document.querySelector('#predictorColors').append(indicator); | |
} | |
const predictColors = {}; | |
for (var i = 0; i < predictFuncNames.length; i++) { | |
predictColors[predictFuncNames[i]] = `hsl(${i / (predictFuncNames.length)}turn 60% 75%)`; | |
addPredictorColor(predictColors[predictFuncNames[i]], predictFuncNames[i].replaceAll('predict', '')); | |
} | |
function canvasBase(zeroPercentage) { | |
ctx.strokeStyle = 'white'; | |
ctx.fillStyle = 'white'; | |
ctx.setLineDash([]); | |
ctx.font = '24px monospace'; | |
ctx.clearRect(0, 0, canvas.width, canvas.height); | |
ctx.lineWidth = 4; | |
ctx.beginPath(); | |
ctx.moveTo(LEFT, BOTTOM); | |
ctx.lineTo(LEFT, TOP); | |
ctx.stroke(); | |
const zeroY = BOTTOM - (BOTTOM - TOP) * zeroPercentage; | |
ctx.fillText(0, 10, zeroY + 6); | |
ctx.lineWidth = 1; | |
ctx.setLineDash([10, 10]); | |
ctx.beginPath(); | |
ctx.moveTo(LEFT, zeroY); | |
ctx.lineTo(RIGHT, zeroY); | |
ctx.stroke(); | |
return zeroY; | |
} | |
function drawResults(results) { | |
var zeroPercentage = .5; | |
const allFinalScores = {}; | |
var minScore, maxScore; | |
if (results !== undefined) { | |
var keys = Object.keys(results); | |
maxScore = 0; | |
minScore = 0; | |
for (var i = 0; i < keys.length; i++) { | |
const k = keys[i]; | |
const finalScores = calcFinalScores(results[k]); | |
maxScore = Math.max(maxScore, ...finalScores); | |
minScore = Math.min(minScore, ...finalScores); | |
allFinalScores[k] = finalScores; | |
} | |
zeroPercentage = Math.abs(minScore) / (Math.abs(minScore) + Math.abs(maxScore)); | |
} | |
const zeroY = canvasBase(zeroPercentage); | |
if (results !== undefined) { | |
ctx.setLineDash([]); | |
var keys = Object.keys(allFinalScores); | |
for (var i = 0; i < keys.length; i++) { | |
const k = keys[i]; | |
const finalScores = allFinalScores[k]; | |
ctx.lineWidth = 3; | |
ctx.strokeStyle = predictColors[k]; | |
ctx.beginPath(); | |
ctx.moveTo(LEFT, zeroY); | |
for (var j = 0; j < finalScores.length; j++) { | |
ctx.lineTo( | |
(j + 1) / (finalScores.length + 1) * (RIGHT - LEFT) + LEFT, | |
BOTTOM - (BOTTOM - TOP) * ((finalScores[j] - minScore) / (Math.abs(minScore) + Math.abs(maxScore))) | |
); | |
} | |
ctx.stroke(); | |
} | |
} | |
} | |
function calcFinalScores(scores) { | |
const res = []; | |
var currScore = 0; | |
for (var i = 0; i < scores.length; i++) { | |
currScore += scores[i] ? 1 : -1; | |
res.push(currScore); | |
} | |
return res; | |
} | |
window.onload = function() { | |
drawResults(); | |
var clearWarmTimeout = null; | |
document.querySelector('#coin-head').onclick = function() { | |
[...document.querySelectorAll('.warm')].map(x => x.classList.remove('warm')); | |
clickHistory.push('H'); | |
handleClick(); | |
}; | |
document.querySelector('#coin-tail').onclick = function() { | |
[...document.querySelectorAll('.warm')].map(x => x.classList.remove('warm')); | |
clickHistory.push('T'); | |
handleClick(); | |
}; | |
window.addEventListener('keydown', function(e) { | |
var pressed = null; | |
if (e.key == 1) { | |
pressed = document.querySelector('#coin-head'); | |
} else if (e.key == 2) { | |
pressed = document.querySelector('#coin-tail'); | |
} | |
if (pressed !== null) { | |
pressed.click(); | |
[...document.querySelectorAll('.warm')].map(x => x.classList.remove('warm')); | |
pressed.classList.add('warm'); | |
if (clearWarmTimeout !== null) { | |
window.clearTimeout(clearWarmTimeout); | |
}; | |
clearWarmTimeout = setTimeout(function() { | |
pressed.classList.remove('warm'); | |
}, 200); | |
} | |
}); | |
}; | |
</script> | |
</body> | |
</html> |
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