| import { useState, useRef, useCallback } from "react"; |
|
|
| const TOKENS = ["the", "a", "cat", "sun", "is", "big", "ran", "to", "red", "it"]; |
| const CORRECT = 3; |
| const lowLoss = [0.04, 0.02, 0.06, 0.52, 0.04, 0.06, 0.03, 0.05, 0.12, 0.06]; |
| const highLoss = [0.05, 0.03, 0.22, 0.04, 0.06, 0.28, 0.08, 0.05, 0.12, 0.07]; |
| const ce = (dist, c) => -Math.log(Math.max(dist[c], 1e-9)); |
|
|
| const SCALE = 2; |
|
|
| function drawChart(ctx, ox, oy, title, dist, subtitle, W, H) { |
| const PAD = { top: 100, right: 20, bottom: 64, left: 46 }; |
| const pw = W - PAD.left - PAD.right; |
| const ph = H - PAD.top - PAD.bottom; |
| const n = dist.length; |
| const gap = 5; |
| const bw = (pw - gap * (n - 1)) / n; |
| const maxP = 0.55; |
| const loss = ce(dist, CORRECT); |
| const isLow = loss < 1; |
|
|
| ctx.save(); |
| ctx.translate(ox, oy); |
|
|
| |
| ctx.font = `bold ${15 * SCALE}px Inter, -apple-system, system-ui, sans-serif`; |
| ctx.fillStyle = "#222"; |
| ctx.textAlign = "center"; |
| ctx.fillText(title, W / 2, 24 * SCALE); |
|
|
| |
| ctx.font = `${10 * SCALE}px Inter, -apple-system, system-ui, sans-serif`; |
| ctx.textAlign = "right"; |
| for (const t of [0, 0.1, 0.2, 0.3, 0.4, 0.5]) { |
| const y = PAD.top + ph * (1 - t / maxP); |
| ctx.strokeStyle = "#e0e0e0"; |
| ctx.lineWidth = 1; |
| ctx.beginPath(); ctx.moveTo(PAD.left, y); ctx.lineTo(W - PAD.right, y); ctx.stroke(); |
| ctx.fillStyle = "#999"; |
| ctx.fillText(t === 0 ? "0" : `${(t * 100).toFixed(0)}%`, PAD.left - 8, y + 4 * SCALE); |
| } |
|
|
| |
| ctx.strokeStyle = "#ccc"; |
| ctx.lineWidth = 1.5; |
| ctx.beginPath(); ctx.moveTo(PAD.left, PAD.top + ph); ctx.lineTo(W - PAD.right, PAD.top + ph); ctx.stroke(); |
|
|
| |
| for (let i = 0; i < n; i++) { |
| const p = dist[i]; |
| const x = PAD.left + i * (bw + gap); |
| const barH = (p / maxP) * ph; |
| const y = PAD.top + ph - barH; |
| const isC = i === CORRECT; |
|
|
| const r = 4 * SCALE; |
| const bx = x, by = y, bww = bw, bhh = barH; |
|
|
| ctx.fillStyle = isC ? (isLow ? "#22a861" : "#d63031") : "#b0b5bc"; |
| ctx.globalAlpha = isC ? 1 : 0.5; |
| ctx.beginPath(); |
| ctx.moveTo(bx + r, by); |
| ctx.lineTo(bx + bww - r, by); |
| ctx.quadraticCurveTo(bx + bww, by, bx + bww, by + r); |
| ctx.lineTo(bx + bww, by + bhh); |
| ctx.lineTo(bx, by + bhh); |
| ctx.lineTo(bx, by + r); |
| ctx.quadraticCurveTo(bx, by, bx + r, by); |
| ctx.closePath(); |
| ctx.fill(); |
| ctx.globalAlpha = 1; |
|
|
| |
| if (isC) { |
| ctx.font = `bold ${10 * SCALE}px Inter, sans-serif`; |
| ctx.fillStyle = "#333"; |
| ctx.textAlign = "center"; |
| ctx.fillText(`${(p * 100).toFixed(0)}%`, x + bw / 2, y - 14 * SCALE); |
| } |
|
|
| |
| ctx.font = `${isC ? "bold " : ""}${10.5 * SCALE}px 'SF Mono', 'Fira Code', monospace`; |
| ctx.fillStyle = isC ? "#222" : "#999"; |
| ctx.textAlign = "center"; |
| ctx.fillText(TOKENS[i], x + bw / 2, PAD.top + ph + 18 * SCALE); |
|
|
| |
| if (isC) { |
| ctx.font = `${8 * SCALE}px Inter, sans-serif`; |
| ctx.fillStyle = "#777"; |
| ctx.letterSpacing = "1px"; |
| ctx.fillText("correct", x + bw / 2, PAD.top + ph + 32 * SCALE); |
|
|
| |
| const ax = x + bw / 2; |
| const ay1 = PAD.top + ph + 36 * SCALE; |
| const ay2 = ay1 + 7 * SCALE; |
| ctx.strokeStyle = "#aaa"; |
| ctx.lineWidth = 1.5; |
| ctx.beginPath(); ctx.moveTo(ax, ay1); ctx.lineTo(ax, ay2); ctx.stroke(); |
| ctx.fillStyle = "#aaa"; |
| ctx.beginPath(); |
| ctx.moveTo(ax - 4 * SCALE, ay2); |
| ctx.lineTo(ax + 4 * SCALE, ay2); |
| ctx.lineTo(ax, ay2 + 5 * SCALE); |
| ctx.closePath(); |
| ctx.fill(); |
| } |
| } |
|
|
| |
| const pillW = 200 * SCALE; |
| const pillH = 30 * SCALE; |
| const pillX = (W - pillW) / 2; |
| const pillY = H - 10 * SCALE; |
|
|
| ctx.fillStyle = isLow ? "#dff5e8" : "#fce4e4"; |
| ctx.beginPath(); |
| const pr = pillH / 2; |
| ctx.moveTo(pillX + pr, pillY); |
| ctx.lineTo(pillX + pillW - pr, pillY); |
| ctx.quadraticCurveTo(pillX + pillW, pillY, pillX + pillW, pillY + pr); |
| ctx.quadraticCurveTo(pillX + pillW, pillY + pillH, pillX + pillW - pr, pillY + pillH); |
| ctx.lineTo(pillX + pr, pillY + pillH); |
| ctx.quadraticCurveTo(pillX, pillY + pillH, pillX, pillY + pr); |
| ctx.quadraticCurveTo(pillX, pillY, pillX + pr, pillY); |
| ctx.closePath(); |
| ctx.fill(); |
|
|
| ctx.font = `bold ${11 * SCALE}px Inter, sans-serif`; |
| ctx.fillStyle = isLow ? "#1e8449" : "#b71c1c"; |
| ctx.textAlign = "center"; |
| ctx.fillText(`${subtitle} · loss = ${loss.toFixed(2)}`, W / 2, pillY + pillH / 2 + 4 * SCALE); |
|
|
| ctx.restore(); |
| } |
|
|
| export default function App() { |
| const canvasRef = useRef(null); |
| const [rendered, setRendered] = useState(false); |
|
|
| const chartW = 320 * SCALE; |
| const chartH = 280 * SCALE; |
| const totalGap = 50 * SCALE; |
| const padX = 30 * SCALE; |
| const padTop = 50 * SCALE; |
| const padBot = 30 * SCALE; |
| const totalW = padX * 2 + chartW * 2 + totalGap; |
| const totalH = padTop + chartH + padBot; |
|
|
| const draw = useCallback((canvas) => { |
| if (!canvas || rendered) return; |
| canvasRef.current = canvas; |
| const ctx = canvas.getContext("2d"); |
|
|
| |
| ctx.fillStyle = "#ffffff"; |
| ctx.fillRect(0, 0, totalW, totalH); |
|
|
| |
| ctx.font = `${13 * SCALE}px Inter, -apple-system, system-ui, sans-serif`; |
| ctx.fillStyle = "#222"; |
| ctx.textAlign = "center"; |
| ctx.fillText("Predicted probability distribution over vocabulary", totalW / 2, 22 * SCALE); |
|
|
| ctx.font = `${11 * SCALE}px 'SF Mono', 'Fira Code', monospace`; |
| ctx.fillStyle = "#222"; |
| ctx.fillText('The model predicts the next token after: "the __ rises"', totalW / 2, 38 * SCALE); |
|
|
| drawChart(ctx, padX, padTop, "Low surprise", lowLoss, "Confident & correct", chartW, chartH); |
| drawChart(ctx, padX + chartW + totalGap, padTop, "High surprise", highLoss, "Spread & wrong", chartW, chartH); |
|
|
| setRendered(true); |
| }, [rendered, totalW, totalH]); |
|
|
| const download = () => { |
| const c = canvasRef.current; |
| if (!c) return; |
| const link = document.createElement("a"); |
| link.download = "cross-entropy-loss.png"; |
| link.href = c.toDataURL("image/png"); |
| link.click(); |
| }; |
|
|
| return ( |
| <div style={{ |
| display: "flex", flexDirection: "column", alignItems: "center", justifyContent: "center", |
| minHeight: "100vh", background: "#f5f5f5", |
| fontFamily: "'Inter', -apple-system, system-ui, sans-serif", |
| padding: 24, gap: 20, |
| }}> |
| <canvas |
| ref={draw} |
| width={totalW} |
| height={totalH} |
| style={{ |
| width: totalW / SCALE, |
| height: totalH / SCALE, |
| borderRadius: 8, |
| boxShadow: "0 2px 16px rgba(0,0,0,0.07)", |
| }} |
| /> |
| <button |
| onClick={download} |
| style={{ |
| padding: "10px 28px", |
| borderRadius: 8, |
| border: "none", |
| background: "#222", |
| color: "#fff", |
| fontSize: 14, |
| fontWeight: 600, |
| cursor: "pointer", |
| letterSpacing: 0.3, |
| }} |
| > |
| Download PNG |
| </button> |
| </div> |
| ); |
| } |
|
|