Rule identifiability in elementary cellular automata under dynamical noise

Exact computation (no sampling, no seeds) of rule identifiability in elementary cellular automata on a ring of 12 cells under dynamical bit-flip noise: zero-noise consistency classes for all 256 rules x 4096 initial states, the identifiability rate rho(f; eps) = lambda(eps) min_c nu_c(f; eps) for all 88 rule classes on a noise grid with the best noise level eps* per class, finite-horizon evidence margins from every initial state, and a boundary check with radius-2 generators. Includes code, data files with a SHA-256 manifest, and the note as PDF.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-15
DOI
https://doi.org/10.5281/zenodo.23399100
Primary Topic
Cellular Automata and Applications
Type
preprint
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preprint

Rule identifiability in elementary cellular automata under dynamical noise

Frank Peterlein
Zenodo (CERN European Organization for Nuclear Research)
Cellular Automata and Applications
preprint

Rule identifiability in elementary cellular automata under dynamical noise

Frank Peterlein
preprint en

Abstract

Exact computation (no sampling, no seeds) of rule identifiability in elementary cellular automata on a ring of 12 cells under dynamical bit-flip noise: zero-noise consistency classes for all 256 rules x 4096 initial states, the identifiability rate rho(f; eps) = lambda(eps) min_c nu_c(f; eps) for all 88 rule classes on a noise grid with the best noise level eps* per class, finite-horizon evidence margins from every initial state, and a boundary check with radius-2 generators. Includes code, data files with a SHA-256 manifest, and the note as PDF.

Zenodo (CERN European Organization for Nuclear Research)
Cellular Automata and Applications
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