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beea5e8 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 | """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,
}
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