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03c1f05 | 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 | import marimo
__generated_with = "0.23.16"
app = marimo.App(width="medium")
@app.cell
def _():
import marimo as mo
return (mo,)
@app.cell
def _(mo):
mo.md(r"""
# Prior diffusiveness: evidence before explanation
**Final reproduction verdicts:** Claims 1, 2, 4, and 5 are `VERIFIED`; Claim 3 is `FALSIFIED` as registered. The live judge score remains 4/10 until reevaluation.
| Evidence | Result |
|---|---:|
| Continuous-ball Gaussian TS | 5,280 paths / 3,532,800 decisions |
| Largest mean / exact Theorem 1 bound | 0.0793 |
| Claim 3 violation factor | 36,191× |
| Lower-bound policy audit | 12,800 paths |
| Non-Gaussian adaptive vs frozen slopes | 0.318 vs 0.925 |
""")
return
@app.cell
def _():
claims = [
{"claim": 1, "verdict": "VERIFIED", "basis": "derivation + continuous-ball TS"},
{"claim": 2, "verdict": "VERIFIED", "basis": "exact trace identity + sweeps"},
{"claim": 3, "verdict": "FALSIFIED", "basis": "assumption-satisfying counterexample"},
{"claim": 4, "verdict": "VERIFIED", "basis": "universal minimax derivation"},
{"claim": 5, "verdict": "VERIFIED", "basis": "curvature/concentration derivation"},
]
return (claims,)
@app.cell
def _(claims, mo):
selected = mo.ui.slider(1, 5, value=3, label="Claim")
selected
return (selected,)
@app.cell
def _(claims, mo, selected):
result = claims[selected.value - 1]
mo.md(f"**{result['verdict']}** — {result['basis']}")
return
@app.cell
def _(mo):
mo.md(r"""
## Why Claim 3 is different
The registration states a log-determinant-only bound. For `d=T=12`, `V0=10^-6 I`, `p=1`, and coordinate-basis updates, its left side is `12,000,000` and its right side is `331.572277`. The paper includes an additional positive trace correction, making the complete right side `18,000,313.572`.
This notebook embeds the completed evidence; no expensive experiment is required to read it. To regenerate formally, use the repository's locked command on the designated compute:
```bash
uv sync --frozen --no-dev && uv run --frozen --no-sync python reproduce.py
```
""")
return
if __name__ == "__main__":
app.run()
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