{"id":"W4226409999","doi":"10.1093/imrn/rnac123","title":"A Gelfand-Type Duality for Coarse Metric Spaces With Property A","year":2022,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Modulo; Pure mathematics; Automorphism; Group (periodic table); Bijection; Metric space; Closeness; Discrete mathematics; Algebra over a field; Mathematical analysis","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.005284001,0.0002386822,0.000382649,0.0008177337,0.0008083135,0.0003704447,0.001458961,0.00005618851,0.001224376],"category_scores_gemma":[0.007343665,0.0001560425,0.00009965182,0.001337914,0.0002838024,0.0003904979,0.0009206847,0.0007983317,0.00005492822],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005359223,"about_ca_system_score_gemma":0.0004256071,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004928798,"about_ca_topic_score_gemma":0.00008464397,"domain_scores_codex":[0.994084,0.0004122986,0.0005200782,0.0005470096,0.003712744,0.0007238736],"domain_scores_gemma":[0.9918698,0.005099957,0.0002161017,0.0006185924,0.002008527,0.0001870325],"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":[0.003092571,0.006717072,0.001474351,0.002770506,0.001599643,0.0002630887,0.01006417,0.003046958,0.003280817,0.9290451,0.03382568,0.004820089],"study_design_scores_gemma":[0.004785676,0.003696282,0.0001211577,0.000279326,0.0001173447,0.0001801334,0.01850042,0.1619901,0.004796533,0.6617247,0.14266,0.001148296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9297791,0.000316354,0.02369057,0.01036061,0.0008687758,0.007594726,0.0005293174,0.0004352017,0.02642542],"genre_scores_gemma":[0.7900442,0.00002271219,0.1899072,0.00006987395,0.0002234537,0.001820539,0.00004431418,0.000127697,0.01774004],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2673203,"threshold_uncertainty_score":0.9996886,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2845488931790764,"score_gpt":0.4952943508918972,"score_spread":0.2107454577128208,"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."}}