{"id":"W1601679178","doi":"10.48550/arxiv.1211.1501","title":"On the invariant uniform Roe algebra","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Countable set; Invariant (physics); Pure mathematics; Algebra over a field; Combinatorics; Mathematical physics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0008094439,0.0004712913,0.0004437272,0.0002149674,0.0003325289,0.0000894568,0.001624502,0.0004156764,0.001148007],"category_scores_gemma":[0.0006422056,0.0003710009,0.0002643205,0.0004865056,0.0002472851,0.0002209132,0.001971438,0.001804718,0.0008588874],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005053623,"about_ca_system_score_gemma":0.0002514736,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000518415,"about_ca_topic_score_gemma":0.00006561488,"domain_scores_codex":[0.9976485,0.0003233254,0.0002665542,0.0007845659,0.0002496309,0.0007274705],"domain_scores_gemma":[0.9958502,0.001363286,0.0002460061,0.002058464,0.0002036778,0.000278377],"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":[0.00007093455,0.0001779162,0.0001886228,0.00009955867,0.0001516061,0.0001395837,0.000252369,0.004272374,0.00002625116,0.9924985,0.002051916,0.00007038467],"study_design_scores_gemma":[0.0004269191,0.00005443208,0.0001280665,0.0001504999,0.0001251632,0.000005577971,0.0003258141,0.01145483,0.0004670109,0.9855827,0.0007524125,0.0005265825],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8958187,0.0000637741,0.06633785,0.0006040444,0.0005679463,0.001510683,0.00007598817,0.0003406523,0.03468038],"genre_scores_gemma":[0.9932668,0.00009231752,0.000704007,0.0002021331,0.0001714172,0.000005455823,0.00001666256,0.0000840735,0.005457136],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09744812,"threshold_uncertainty_score":0.9999191,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1716518916215548,"score_gpt":0.2507322945199068,"score_spread":0.07908040289835197,"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."}}