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| author | YurenHao0426 <Blackhao0426@gmail.com> | 2026-06-09 15:28:30 -0500 |
|---|---|---|
| committer | YurenHao0426 <Blackhao0426@gmail.com> | 2026-06-09 15:28:30 -0500 |
| commit | b246cc878c3db48e6d993a6a293176ee9be97e77 (patch) | |
| tree | ed7baf048144927ba98f417e5d9c28b5a4489f31 /notes/06_capacity_transition_256_analysis.md | |
| parent | 2488deff02737330ff4f355746be2b49492ac3dc (diff) | |
Add MNIST real-data validation of e0 theorem and estimator
New script validates both no-fit claims on MNIST-subset MLPs. e0
theorem: 16 configs, hidden share 0.39-0.82, measured E_B[e0] within
0.0001-0.0089 of prediction (512 real-backward draws each). Estimator:
96 trajectories, velocity MAE 0.00196 (3.9% of mean gap), bias -0.0006,
beating fixed K(0) everywhere; kernels computed via a layerwise gram
identity self-tested against autograd at machine precision.
Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
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