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d
int64
64
256
seed
int64
0
3
epoch
int64
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499
loss
float64
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Check out the documentation for more information.

Nonlinear autoencoder / PCA reproduction

This bundle reproduces the paper with the authors' pinned release (SPOC-group/advantage_nonlinearity@4378017) plus an independent direct population-gradient-flow audit.

  • run_official_amp_campaign.py: 96 finite-dimensional runs of the released two-spike AMP at d=256/512 and eight sample ratios.
  • run_official_ae_campaign.py: 48 full-batch Adam runs of the released tied, one-neuron ReLU/ELU autoencoder at d=512/1024, with exact PCA and 20,000 held-out examples per run.
  • run_population_gradient_flow.py: deterministic quadrature of the actual population loss and RK4 integration of its spherical projected gradient.
  • summarize_official_campaign.py: aggregate metrics and the summary figure.

The original smaller independent check remains in reproduce.py for audit history, but the claim verdicts use the official-code campaign above.

Rerun

uv run --with-requirements requirements.txt python run_official_amp_campaign.py
uv run --with-requirements requirements.txt python run_official_ae_campaign.py
uv run --with-requirements requirements.txt python run_population_gradient_flow.py
uv run --with-requirements requirements.txt python summarize_official_campaign.py

The AE campaign uses CUDA when available and took about 10.1 minutes on one H100. AMP and population-flow checks run on CPU. All seeds and exact grids are inside the scripts and every raw run is retained under results/.

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