{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009804023,0.0008369919,0.000930641,0.003063844,0.00128186,0.003796897,0.001131589,0.0009353916,0.006023108],"category_scores_gemma":[0.01099033,0.0005773016,0.001525941,0.001800625,0.002215888,0.008105843,0.003302179,0.001561333,0.001149153],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001626009,"about_ca_system_score_gemma":0.0007360805,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002059255,"about_ca_topic_score_gemma":0.00255679,"domain_scores_codex":[0.9985381,0.0002872236,0.0001230835,0.0005156857,0.0003241112,0.000211788],"domain_scores_gemma":[0.9946195,0.002783534,0.0006234675,0.001073826,0.0004722045,0.0004274593],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000683695,0.0003018634,0.02430248,0.000331296,0.0001658297,0.0004339465,0.002486569,0.05483197,0.01004477,0.741502,0.00655335,0.1583623],"study_design_scores_gemma":[0.00002522603,0.00005063748,0.0009037483,0.00002889758,0.00002331903,0.0000779793,0.0002150196,0.07665528,0.001621333,0.9173586,0.003017307,0.00002269742],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5677626,0.0008342954,0.4153451,0.0006530554,0.0001508214,0.000128763,0.001622224,0.001716466,0.01178675],"genre_scores_gemma":[0.929145,0.0002731106,0.06377114,0.0001505462,0.0001897338,0.0000997522,0.002423752,0.0003280389,0.003618974],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006023108,"threshold_uncertainty_score":0.02014929,"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."}}