title: Reproduction Unifying Low Dimensional Spectra
emoji: 🎯
colorFrom: purple
colorTo: blue
sdk: static
pinned: false
tags:
- icml2026-repro
- paper-RwiGcN2feP
Reproduction bundle
Deterministic Trackio audit of all six exact registered claims for
OpenReview RwiGcN2feP. The registered numbering and empirical references are
pinned to immutable arXiv 2404.06106v1; current v3 is separately pinned
and revision-mapped.
PYTHONWARNINGS=error python3 reproduce.py --output replay
PYTHONWARNINGS=error python3 validate_evidence.py
python3 build_manifest.py --verify
The bundle executes the exact Hessian, Papyan-decomposition, gradient, and weight objects with destructive boundary controls. It also includes paired byte-identical paper-scale runs for:
- the Deep Linear UFM (
K=3,d=60,n=40,L=5,l=3, one million epochs), and - the ReLU Deep UFM (
K=3,d=65,n=40,L=5,l=4, one million epochs).
An independent NumPy oracle reconstructs the ReLU layer-W4 Jacobian, exact
nonzero Hessian spectrum, and gradient projection. The earlier reduced
K=3,d=14,n=16,L=4 proxy is retained only as history and is not counted.
Claim 5's unsupported “about 0.2” initial alignment remains an explicit literal
falsification rather than being silently rounded into a match.