{"id":"W4406038669","doi":"10.1007/978-3-031-68915-4_10","title":"Toeplitz Systems","year":2024,"lang":"en","type":"book-chapter","venue":"","topic":"Cellular Automata and Applications","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Toeplitz matrix; Computer science; Mathematics; Pure mathematics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001063177,0.0007186038,0.0002967321,0.0006439556,0.0006141622,0.001785952,0.0002893964,0.0004593558,0.03154426],"category_scores_gemma":[0.0004536992,0.0002187037,0.0001687784,0.0007786987,0.0006778512,0.00149557,0.0006665889,0.00104789,0.007141612],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006489794,"about_ca_system_score_gemma":0.000321295,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007109714,"about_ca_topic_score_gemma":0.0008874976,"domain_scores_codex":[0.9998994,0.00001557418,0.000003443438,0.00001869126,0.00004922035,0.00001370023],"domain_scores_gemma":[0.9999135,0.00002808436,0.000005326286,0.00002042559,0.00002424613,0.000008470543],"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":[0.000005019617,0.00001021117,0.00002031319,0.00002791604,0.000002239012,0.00002568955,0.0000889013,0.001162369,0.0008235677,0.9526711,0.01380968,0.03135299],"study_design_scores_gemma":[0.000003054255,0.0000138735,0.00009314543,0.00002290248,0.000003037578,0.00009596709,0.00005584445,0.004793466,0.0008893697,0.8489916,0.1450308,0.000007021769],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.008967486,0.00279945,0.06036077,0.000628511,0.0004911093,0.00002252637,0.0001756637,0.000247425,0.9263071],"genre_scores_gemma":[0.1674149,0.004476029,0.01405946,0.000343452,0.0004930497,0.00005746551,0.0003004568,0.000189112,0.8126661],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.03154426,"threshold_uncertainty_score":0.1055261,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01829624351377298,"score_gpt":0.2246016299180091,"score_spread":0.2063053864042362,"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."}}