{"paper":{"title":"Uniform sampling of canalizing Boolean functions reveals hidden biases in Boolean network analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"q-bio.MN","authors_text":"Ahana Ghosh, Claus Kadelka","submitted_at":"2026-05-22T05:03:43Z","abstract_excerpt":"Boolean networks are widely used to model gene regulatory systems, where ensembles of Boolean functions serve as null models for assessing structural and dynamical properties. A common approach generates canalizing and nested canalizing functions by sampling their defining parameters uniformly at random. However, because multiple parameterizations can represent the same Boolean function, this induces a non-uniform distribution over distinct functions and systematically biases random ensembles.\n  Here, we develop efficient algorithms for uniform sampling of Boolean functions with prescribed exa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.05196","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.05196/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}