{"id":"W4409255934","doi":"10.1007/978-3-0348-0692-3_83-1","title":"Games and Algebras","year":2024,"lang":"en","type":"book-chapter","venue":"Operator Theory","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Pure mathematics; Algebra over a field","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":[0.0003279052,0.000886257,0.0006294529,0.001019335,0.001372962,0.004417795,0.0007085648,0.001014153,0.03581057],"category_scores_gemma":[0.001177081,0.0003340874,0.0003163678,0.001780341,0.003488763,0.005242473,0.00110417,0.002485227,0.007704956],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002492435,"about_ca_system_score_gemma":0.001273674,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00400395,"about_ca_topic_score_gemma":0.005192988,"domain_scores_codex":[0.999711,0.00009693817,0.000009286528,0.00004413613,0.0001089643,0.00002967574],"domain_scores_gemma":[0.999811,0.0001004292,0.00001005527,0.00002577688,0.0000342022,0.00001863649],"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":[0.000003427282,0.000009239244,0.00001964596,0.00004754865,0.000002062675,0.000009561619,0.000164256,0.0002171865,0.00007405348,0.9455116,0.04003713,0.01390427],"study_design_scores_gemma":[0.000002556749,0.000003635433,0.00005538615,0.00005324494,0.000001573253,0.00002509447,0.0001008236,0.0003263958,0.00004411724,0.7420172,0.2573669,0.000003000135],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.001209951,0.02681463,0.0127981,0.00335019,0.00116273,0.00002813864,0.0001237728,0.00009995966,0.9544125],"genre_scores_gemma":[0.07033823,0.02380367,0.008866616,0.002356079,0.001930934,0.000164877,0.0002871329,0.0002065915,0.8920458],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.03581057,"threshold_uncertainty_score":0.1197982,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01076232554747663,"score_gpt":0.2191492408656922,"score_spread":0.2083869153182155,"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."}}