| --- |
| 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. |
|
|
| ```bash |
| 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. |
|
|
