{"id":"W2963809654","doi":"10.19086/da.611","title":"Computing automorphism groups of shifts using atypical equivalence classes","year":2016,"lang":"en","type":"article","venue":"Discrete Analysis","topic":"Cellular Automata and Applications","field":"Computer Science","cited_by":15,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Automorphism; Mathematics; Sigma; Combinatorics; Bijection; Discrete mathematics; Invariant (physics); Dynamical systems theory; Type (biology); Alphabet; Physics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002141336,0.0001199448,0.0002910118,0.0002251522,0.0001190538,0.00005930861,0.0007932874,0.00004766071,0.00004991146],"category_scores_gemma":[0.00004071949,0.00008463595,0.0002807245,0.001554455,0.0001098839,0.0002969901,0.0003449549,0.00004941978,0.00002475713],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003363283,"about_ca_system_score_gemma":0.00003880186,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005246836,"about_ca_topic_score_gemma":0.000012805,"domain_scores_codex":[0.9986697,0.00006358177,0.0003393928,0.0003956699,0.0002895007,0.0002421316],"domain_scores_gemma":[0.9986765,0.0002162204,0.0001926536,0.0007522542,0.00007480432,0.00008754581],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001808337,0.0002709945,0.09416945,0.00006748476,0.002058022,0.0000366276,0.001246724,0.004258857,0.2859126,0.547016,0.0002046652,0.06474049],"study_design_scores_gemma":[0.0002044218,0.00002199517,0.06815109,0.00004540346,0.0004562698,0.000002851408,0.00002777819,0.920617,0.006839757,0.00313145,0.000244384,0.0002576314],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3252016,0.00005262321,0.6741138,0.0003529281,0.00002162,0.00003882044,0.000006919708,0.00007478264,0.0001368781],"genre_scores_gemma":[0.9721045,0.000009889664,0.02775962,0.00004169857,0.00002846541,0.00000210148,0.000005487296,0.00000583235,0.00004233268],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9163581,"threshold_uncertainty_score":0.3451354,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02467551793926439,"score_gpt":0.2872768801559658,"score_spread":0.2626013622167014,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}