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| """Build evaluator-facing figures and check statistical rerun reproducibility.""" | |
| import hashlib | |
| import html | |
| import json | |
| import math | |
| from pathlib import Path | |
| RAW_PATH = Path( | |
| ".openresearch/artifacts/cumulative/raw/hf_run_2e812c37.json" | |
| ) | |
| FIGURE_PREFIX = "reports/reproduction/images" | |
| def _svg(title: str, subtitle: str, body: str, height: int = 470) -> str: | |
| return f'''<svg xmlns="http://www.w3.org/2000/svg" width="900" height="{height}" viewBox="0 0 900 {height}"> | |
| <rect width="900" height="{height}" fill="#fbfaf7"/> | |
| <style> | |
| text {{ font-family: ui-sans-serif, system-ui, sans-serif; fill: #19212b }} | |
| .title {{ font-size: 27px; font-weight: 700 }} .sub {{ font-size: 15px; fill: #52606d }} | |
| .axis {{ stroke: #9aa5b1; stroke-width: 1 }} .grid {{ stroke: #dde2e7; stroke-width: 1 }} | |
| .label {{ font-size: 14px }} .small {{ font-size: 12px; fill: #52606d }} | |
| </style> | |
| <text x="50" y="43" class="title">{html.escape(title)}</text> | |
| <text x="50" y="69" class="sub">{html.escape(subtitle)}</text> | |
| {body} | |
| </svg>''' | |
| def _bar_svg(rows: list[dict]) -> str: | |
| values = [] | |
| labels = [] | |
| colors = [] | |
| for row in rows: | |
| label = f'{row["activation"]} n={row["width"]}' | |
| values.extend( | |
| [ | |
| 100 * row["comparison"]["diagonal_relative_shift"], | |
| 100 * row["comparison"]["offdiagonal_relative_shift"], | |
| ] | |
| ) | |
| labels.extend([f"{label} diag", f"{label} offdiag"]) | |
| colors.extend(["#167d70", "#d95d39"]) | |
| maximum = max(values) * 1.12 | |
| body = '<line x1="245" y1="105" x2="245" y2="405" class="axis"/>' | |
| for tick in range(0, 10, 2): | |
| x = 245 + 600 * tick / maximum | |
| body += f'<line x1="{x:.1f}" y1="105" x2="{x:.1f}" y2="405" class="grid"/>' | |
| body += f'<text x="{x:.1f}" y="427" text-anchor="middle" class="small">{tick}%</text>' | |
| for index, (label, value, color) in enumerate(zip(labels, values, colors)): | |
| y = 114 + index * 34 | |
| width = 600 * value / maximum | |
| body += f'<text x="235" y="{y + 17}" text-anchor="end" class="small">{html.escape(label)}</text>' | |
| body += f'<rect x="245" y="{y}" width="{width:.1f}" height="22" rx="3" fill="{color}"/>' | |
| body += f'<text x="{250 + width:.1f}" y="{y + 16}" class="small">{value:.3f}%</text>' | |
| one_percent = 245 + 600 / maximum | |
| body += f'<line x1="{one_percent:.1f}" y1="100" x2="{one_percent:.1f}" y2="405" stroke="#167d70" stroke-width="2" stroke-dasharray="5 4"/>' | |
| body += f'<text x="{one_percent + 5:.1f}" y="98" class="small">1% precommitted diagonal equivalence margin</text>' | |
| body += '<rect x="52" y="438" width="12" height="12" fill="#167d70"/><text x="70" y="449" class="small">diagonal cancellation target</text>' | |
| body += '<rect x="278" y="438" width="12" height="12" fill="#d95d39"/><text x="296" y="449" class="small">off-diagonal negative control</text>' | |
| return _svg( | |
| "Scale invariance cancels only the diagonal correction", | |
| "Five million networks per activation and width; absolute relative shifts", | |
| body, | |
| ) | |
| def _claim4_svg(rows: list[dict]) -> str: | |
| body = '<line x1="95" y1="390" x2="850" y2="390" class="axis"/>' | |
| body += '<line x1="95" y1="100" x2="95" y2="390" class="axis"/>' | |
| widths = [row["width"] for row in rows] | |
| x_min, x_max = min(widths), max(widths) | |
| fractions = [] | |
| for row in rows: | |
| measured = row["mean"][0] - row["source_infinite_width_prediction"][0] | |
| predicted = ( | |
| row["source_first_order_prediction"][0] | |
| - row["source_infinite_width_prediction"][0] | |
| ) | |
| fractions.append(measured / predicted) | |
| for tick in [0, 0.5, 1.0, 1.5]: | |
| y = 390 - tick * 180 | |
| body += f'<line x1="95" y1="{y:.1f}" x2="850" y2="{y:.1f}" class="grid"/>' | |
| body += f'<text x="82" y="{y + 5:.1f}" text-anchor="end" class="small">{tick:.1f}</text>' | |
| body += '<line x1="95" y1="210" x2="850" y2="210" stroke="#167d70" stroke-width="2" stroke-dasharray="6 5"/>' | |
| body += '<text x="845" y="202" text-anchor="end" class="small">paper first-order correction = 1</text>' | |
| for width, fraction in zip(widths, fractions): | |
| x = 110 + 720 * (width - x_min) / (x_max - x_min) | |
| y = 390 - fraction * 180 | |
| body += f'<circle cx="{x:.1f}" cy="{y:.1f}" r="7" fill="#355c9a"/>' | |
| body += f'<text x="{x:.1f}" y="414" text-anchor="middle" class="small">{width}</text>' | |
| body += f'<text x="{x:.1f}" y="{y - 12:.1f}" text-anchor="middle" class="small">{fraction:.2f}</text>' | |
| body += '<text x="472" y="446" text-anchor="middle" class="label">hidden width n</text>' | |
| body += '<text transform="translate(26 270) rotate(-90)" text-anchor="middle" class="label">measured / predicted correction</text>' | |
| return _svg( | |
| "Finite-width GeLU means follow the 1/n recursion correction", | |
| "Four-layer source architecture; 100,000 initializations at each width", | |
| body, | |
| ) | |
| def _claim5_svg(verifier: dict) -> str: | |
| colors = {"low": "#355c9a", "critical": "#167d70", "high": "#d95d39"} | |
| body = '<line x1="95" y1="390" x2="850" y2="390" class="axis"/>' | |
| body += '<line x1="95" y1="100" x2="95" y2="390" class="axis"/>' | |
| for level in range(-1, 5): | |
| y = 390 - (level + 1) * 48 | |
| body += f'<line x1="95" y1="{y}" x2="850" y2="{y}" class="grid"/>' | |
| body += f'<text x="82" y="{y + 5}" text-anchor="end" class="small">10^{level}</text>' | |
| for name in ["low", "critical", "high"]: | |
| means = verifier["summaries"][name]["mean"] | |
| points = [] | |
| for depth_index, row in enumerate(means, start=1): | |
| value = max(row[0] / depth_index, 1e-2) | |
| x = 95 + 755 * (depth_index - 1) / 29 | |
| y = 390 - (math.log10(value) + 1) * 48 | |
| points.append(f"{x:.1f},{y:.1f}") | |
| point_text = " ".join(points) | |
| body += f'<polyline points="{point_text}" fill="none" stroke="{colors[name]}" stroke-width="3"/>' | |
| body += '<text x="472" y="437" text-anchor="middle" class="label">depth</text>' | |
| body += '<text transform="translate(25 270) rotate(-90)" text-anchor="middle" class="label">mean diagonal NTK / depth (log scale)</text>' | |
| for index, name in enumerate(["low", "critical", "high"]): | |
| x = 315 + index * 125 | |
| body += f'<line x1="{x}" y1="458" x2="{x + 25}" y2="458" stroke="{colors[name]}" stroke-width="4"/>' | |
| body += f'<text x="{x + 31}" y="463" class="small">{name}</text>' | |
| return _svg( | |
| "Only critical initialization stays linear through depth 30", | |
| "Width 200, 1,000 networks per regime, source gradient-stability observable", | |
| body, | |
| height=480, | |
| ) | |
| def _claim2_svg(verifier: dict) -> str: | |
| diagrams = verifier["diagrams"] | |
| body = '' | |
| for index, diagram in enumerate(diagrams): | |
| x = 95 + index * 160 | |
| quadratic = diagram["correction_vertex"]["name"] in {"K1", "Theta1"} | |
| order = 2 if quadratic else 4 | |
| color = "#355c9a" if quadratic else "#d95d39" | |
| body += f'<circle cx="{x}" cy="220" r="34" fill="{color}" opacity="0.14" stroke="{color}" stroke-width="3"/>' | |
| body += f'<text x="{x}" y="226" text-anchor="middle" class="title">{order}</text>' | |
| body += f'<text x="{x}" y="280" text-anchor="middle" class="label">D{index + 1}</text>' | |
| body += f'<text x="{x}" y="303" text-anchor="middle" class="small">{html.escape(diagram["id"])}</text>' | |
| body += '<line x1="95" y1="350" x2="735" y2="350" stroke="#167d70" stroke-width="4"/>' | |
| body += '<text x="415" y="382" text-anchor="middle" class="label">independently summed recursion coefficient matches the closed form</text>' | |
| body += '<text x="415" y="410" text-anchor="middle" class="small">blue: quadratic vertex · red: quartic vertex · injected sign error exits nonzero</text>' | |
| return _svg( | |
| "The first-order mean recursion has exactly five diagrams", | |
| "Machine-enumerated quadratic and quartic contributions, checked independently", | |
| body, | |
| ) | |
| def _paired_z(current_rows: list, previous_rows: list) -> dict: | |
| z_values = [] | |
| for current, previous in zip(current_rows, previous_rows): | |
| for mean, old_mean, se, old_se in zip( | |
| current["mean"], | |
| previous["mean"], | |
| current["standard_error"], | |
| previous["standard_error"], | |
| ): | |
| denominator = math.sqrt(se * se + old_se * old_se) | |
| z_values.append(abs(mean - old_mean) / denominator) | |
| maximum = max(z_values) | |
| return { | |
| "comparison": "independent reruns agree within five combined standard errors", | |
| "maximum_combined_standard_error_z": maximum, | |
| "threshold": 5.0, | |
| "passed": maximum <= 5.0, | |
| } | |
| def _claim5_rows(verifier: dict) -> list[dict]: | |
| rows = [] | |
| for name in ["low", "critical", "high"]: | |
| summary = verifier["summaries"][name] | |
| for mean, standard_error in zip(summary["mean"], summary["standard_error"]): | |
| rows.append({"mean": mean, "standard_error": standard_error}) | |
| return rows | |
| def build_release_artifacts(current: dict) -> dict: | |
| snapshot = json.loads(RAW_PATH.read_text()) | |
| reproducibility = { | |
| "claim3": _paired_z( | |
| current["claim3_empirical_verifier"]["rows"], | |
| snapshot["claim3"]["empirical"]["rows"], | |
| ), | |
| "claim4": _paired_z( | |
| current["claim4_verifier"]["rows"], | |
| snapshot["claim4"]["verifier"]["rows"], | |
| ), | |
| "claim5": _paired_z( | |
| _claim5_rows(current["claim5_verifier"]), | |
| _claim5_rows(snapshot["claim5"]["verifier"]), | |
| ), | |
| } | |
| figures = { | |
| f"{FIGURE_PREFIX}/claim3_exact_scale.svg": _bar_svg( | |
| current["claim3_empirical_verifier"]["rows"] | |
| ), | |
| f"{FIGURE_PREFIX}/claim4_gelu_correction.svg": _claim4_svg( | |
| current["claim4_verifier"]["rows"] | |
| ), | |
| f"{FIGURE_PREFIX}/claim5_depth_stability.svg": _claim5_svg( | |
| current["claim5_verifier"] | |
| ), | |
| f"{FIGURE_PREFIX}/claim2_five_diagrams.svg": _claim2_svg( | |
| current["claim2_verifier"] | |
| ), | |
| } | |
| payloads = [] | |
| for path, svg in figures.items(): | |
| payloads.append( | |
| { | |
| "path": path, | |
| "sha256": hashlib.sha256(svg.encode()).hexdigest(), | |
| "text": svg, | |
| } | |
| ) | |
| fixed_command_matches = current["fixed_command"] == snapshot["fixed_command"] | |
| passed = ( | |
| snapshot["passed"] | |
| and fixed_command_matches | |
| and all(item["passed"] for item in reproducibility.values()) | |
| and len(payloads) == 4 | |
| and all("<script" not in item["text"].lower() for item in payloads) | |
| ) | |
| return { | |
| "raw_snapshot": str(RAW_PATH), | |
| "raw_snapshot_sha256": hashlib.sha256(RAW_PATH.read_bytes()).hexdigest(), | |
| "fixed_command_matches": fixed_command_matches, | |
| "reproducibility": reproducibility, | |
| "svg_payloads": payloads, | |
| "passed": passed, | |
| } | |