{"id":"W2409246750","doi":"10.1090/jams/929","title":"Tsirelson’s problem and an embedding theorem for groups arising from non-local games","year":2019,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":60,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Embedding; Embedding problem; Construct (python library); Operator (biology); State (computer science); Group (periodic table)","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":[0.001382162,0.000232556,0.0007689382,0.0000289207,0.0001833636,0.000121601,0.0005797126,0.00007492776,0.00005011027],"category_scores_gemma":[0.0005651281,0.000137205,0.0004736102,0.0002126323,0.000537136,0.0003331876,0.0002225555,0.0005688102,0.000006966687],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000172561,"about_ca_system_score_gemma":0.00008967578,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005102293,"about_ca_topic_score_gemma":0.000001324622,"domain_scores_codex":[0.9978921,0.0001480716,0.0006569968,0.0002453017,0.0006399559,0.0004175687],"domain_scores_gemma":[0.9958663,0.002493327,0.0007707444,0.0004481165,0.0002116281,0.0002098644],"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":[0.00172815,0.004149107,0.01278128,0.004069628,0.004300575,0.00003318989,0.07832699,0.002424094,0.1239389,0.6505848,0.01612206,0.1015413],"study_design_scores_gemma":[0.0008445559,0.0004319014,0.0003642309,0.0003333252,0.0001208592,0.00005468691,0.01035316,0.05951465,0.001560149,0.9260983,0.0000947653,0.0002293611],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7494847,0.00003270203,0.2491556,0.0006209174,0.00005594995,0.0004474906,0.000007976317,0.00001754646,0.0001771614],"genre_scores_gemma":[0.6392941,0.00001998912,0.3601395,0.0002286721,0.0001791735,0.000009530841,3.911708e-7,0.0000506406,0.00007801319],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2755136,"threshold_uncertainty_score":0.5595059,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02187607535711865,"score_gpt":0.3553276216231072,"score_spread":0.3334515462659885,"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."}}