{"id":"W2952984793","doi":"10.48550/arxiv.math/0002019","title":"Lattice Substitution Systems and Model Sets","year":2000,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Cellular Automata and Applications","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Lattice (music); Substitution (logic); Mathematics; Discrete mathematics; Combinatorics; Pure mathematics; Computer science; Physics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001518865,0.0001869093,0.0001990593,0.00006935564,0.0001503798,0.000218907,0.0006796306,0.0001808169,0.000004479415],"category_scores_gemma":[0.000006752755,0.0001883483,0.00005357707,0.0001246937,0.00005246882,0.0001976501,0.0005812396,0.0002868137,0.0002016678],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004225629,"about_ca_system_score_gemma":0.0001123693,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000101788,"about_ca_topic_score_gemma":0.000004234543,"domain_scores_codex":[0.9987519,0.00003614484,0.0002357,0.0006024226,0.0001712936,0.0002024783],"domain_scores_gemma":[0.9987011,0.00003109535,0.0001051322,0.001019664,0.00004542706,0.00009760063],"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":[0.00001848987,0.0007005301,0.06033119,0.001698592,0.0003234476,0.0001321928,0.004257182,0.3263531,0.006589377,0.5680648,0.004847609,0.02668346],"study_design_scores_gemma":[0.0001026304,0.000004907689,0.01203702,0.00007267274,0.0000239184,0.00002118167,0.000003987534,0.9817094,0.0001885128,0.00254138,0.003044084,0.0002503209],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7079074,0.0009074731,0.288129,0.0003252259,0.0002224185,0.0002877598,0.00001576494,0.000286461,0.001918493],"genre_scores_gemma":[0.9946865,0.0002166713,0.004218378,0.00008949633,0.00006266465,0.00009009004,0.00004570735,0.00001140963,0.0005790384],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6553563,"threshold_uncertainty_score":0.7680622,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05189958380949813,"score_gpt":0.2724916924390782,"score_spread":0.22059210862958,"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."}}