{"id":"W3202191715","doi":"10.4064/sm221201-19-4","title":"Products of synchronous games","year":2023,"lang":"en","type":"article","venue":"Studia Mathematica","topic":"advanced mathematical theories","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Universitat Autònoma de Barcelona; Copenhagen Graduate School for Nanoscience and Nanotechnology; University of Waterloo; Institució Catalana de Recerca i Estudis Avançats; National Science Foundation; Generalitat de Catalunya; American Institute of Mathematics; Natural Sciences and Engineering Research Council of Canada; European Commission; Division of Mathematical Sciences; Villum Fonden; Agencia Estatal de Investigación","keywords":"Mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0008800198,0.0002889556,0.0007981354,0.0001757013,0.0001006913,0.00001751997,0.0003851617,0.00007683283,0.0001896271],"category_scores_gemma":[0.007039931,0.0002287509,0.0001336756,0.001009872,0.0003161495,0.0001355377,0.000284259,0.0001433088,0.0007241719],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003746373,"about_ca_system_score_gemma":0.0000803699,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.216778e-7,"about_ca_topic_score_gemma":7.721531e-7,"domain_scores_codex":[0.9977859,0.00006782893,0.0007496115,0.0003600386,0.0005355097,0.0005011277],"domain_scores_gemma":[0.9962167,0.002244076,0.0003045098,0.0009380775,0.0002093484,0.00008726046],"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":[0.00001083703,0.000263529,0.00001256234,0.002312584,0.0001189703,0.00001357443,0.002905267,0.000002381904,0.001281815,0.9832975,0.009123306,0.0006576359],"study_design_scores_gemma":[0.0002849192,0.00007993571,0.00004682917,0.0002578022,0.00008108422,0.00001376639,0.001421781,0.00007208798,0.01063232,0.9859347,0.0009334781,0.0002412413],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5405468,0.0006656641,0.05351245,0.004756612,0.001114919,0.00561432,0.0001257409,0.005181446,0.388482],"genre_scores_gemma":[0.8428291,0.00006468395,0.1521158,0.00002281684,0.0001480762,0.0002439093,0.000004700335,0.0001281265,0.004442745],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3840393,"threshold_uncertainty_score":0.9328192,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04913784304759656,"score_gpt":0.3378517521369558,"score_spread":0.2887139090893592,"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."}}