{"id":"W4387344041","doi":"10.1090/bproc/194","title":"Categoricity for transfinite extensions of modules","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Grantová Agentura České Republiky; Fields Institute for Research in Mathematical Sciences","keywords":"Algorithm; Annotation; Artificial intelligence; Computer science; Type (biology); Biology","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":[0.002294932,0.0006200608,0.0005878214,0.002517299,0.001744702,0.002909128,0.0009529545,0.001029183,0.009944077],"category_scores_gemma":[0.003990026,0.0005247799,0.001762697,0.00115768,0.003547874,0.00636475,0.003795022,0.002682889,0.001602981],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001843515,"about_ca_system_score_gemma":0.0004842786,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001067568,"about_ca_topic_score_gemma":0.0008352387,"domain_scores_codex":[0.9978636,0.0004940609,0.0002084861,0.0006361515,0.000512098,0.000285614],"domain_scores_gemma":[0.996766,0.001420395,0.0002362263,0.0005383667,0.0007940936,0.0002449348],"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":[0.00001901686,0.00001152131,0.0003341363,0.00003538686,0.000008031577,0.0001332146,0.0004745931,0.0002066446,0.000850164,0.9918665,0.0007791052,0.005281626],"study_design_scores_gemma":[0.00001753599,0.00004162937,0.000827225,0.00003580352,0.00001939353,0.0003115757,0.000384161,0.00286027,0.002352834,0.9753752,0.01774896,0.00002543549],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3027665,0.001517671,0.4635389,0.002213477,0.000835634,0.0001523032,0.001052081,0.002182412,0.2257411],"genre_scores_gemma":[0.9317825,0.0004262574,0.03444629,0.0007271994,0.0003138333,0.0001689953,0.001185615,0.0004597592,0.0304896],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009944077,"threshold_uncertainty_score":0.03326625,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03902461388641731,"score_gpt":0.2872914742547648,"score_spread":0.2482668603683474,"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."}}