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diff --git a/scripts/README.md b/scripts/README.md new file mode 100644 index 0000000..1fe2ad9 --- /dev/null +++ b/scripts/README.md @@ -0,0 +1,27 @@ +# Scripts + +## Static Alignment Beta Law + +Run: + +```bash +python scripts/static_alignment_beta.py --rows 16 --cols 16 --samples 20000 --seed 7 --plot +``` + +This samples independent matrix pairs \(A,B\), computes: + +\[ +Q = +\frac{\langle A,B\rangle_F^2}{\|A\|_F^2\|B\|_F^2}, +\] + +and compares the empirical distribution with: + +\[ +\mathrm{Beta}\left(\frac12,\frac{D-1}{2}\right), +\qquad +D=\texttt{rows}\times\texttt{cols}. +\] + +Outputs are written under `outputs/static_alignment_beta/`, which is ignored by Git. + |
