notebooks / Chapter 3 /create_fig_3_2.tsx
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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);
// Title
ctx.font = `bold ${15 * SCALE}px Inter, -apple-system, system-ui, sans-serif`;
ctx.fillStyle = "#222";
ctx.textAlign = "center";
ctx.fillText(title, W / 2, 24 * SCALE);
// Y grid + labels
ctx.font = `${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);
}
// Baseline
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();
// Bars
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;
// Percentage on correct bar
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);
}
// Token label
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);
// "correct" marker
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);
// Arrow
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();
}
}
// Pill
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 = ${loss.toFixed(2)}`, W / 2, pillY + pillH / 2 + 4 * SCALE);
ctx.restore();
}
export default function App() {
const canvasRef = useRef(null);
const [rendered, setRendered] = useState(false);
const chartW = 320 * SCALE;
const chartH = 280 * SCALE;
const totalGap = 50 * SCALE;
const padX = 30 * SCALE;
const padTop = 50 * SCALE;
const padBot = 30 * SCALE;
const totalW = padX * 2 + chartW * 2 + totalGap;
const totalH = padTop + chartH + padBot;
const draw = useCallback((canvas) => {
if (!canvas || rendered) return;
canvasRef.current = canvas;
const ctx = canvas.getContext("2d");
// White background
ctx.fillStyle = "#ffffff";
ctx.fillRect(0, 0, totalW, totalH);
// Header
ctx.font = `${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>
);
}