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diff --git a/scripts/README.md b/scripts/README.md index 1fe2ad9..3124261 100644 --- a/scripts/README.md +++ b/scripts/README.md @@ -25,3 +25,31 @@ D=\texttt{rows}\times\texttt{cols}. Outputs are written under `outputs/static_alignment_beta/`, which is ignored by Git. +## Capacity Scaling + +Run: + +```bash +python scripts/capacity_scaling.py --plot +``` + +This computes: + +\[ +C_l(q) += +-\log\Pr(Q_l\ge q) +\] + +for equal-width feedback blocks with \(D=n^2\), then sums over the number of feedback-aligned layers: + +\[ +C_{\mathrm{all}}=\sum_l C_l(q_l). +\] + +The default run compares two regimes: + +- `fixed`: \(q=0.01\), where \(C_{\mathrm{all}}\) grows like \(\Theta(Ln^2)\). +- `chance`: \(q=1/D\), where \(C_{\mathrm{all}}\) grows mostly with \(L\). + +Outputs are written under `outputs/capacity_scaling/`. |
