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} ยท 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 (
); }