{"id":"W2799074529","doi":"10.4171/ggd/562","title":"Finitely $\\mathcal{F}$-amenable actions and decomposition complexity of groups","year":2020,"lang":"en","type":"preprint","venue":"Groups Geometry and Dynamics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Amenable group; Metrization theorem; Metric space; Finitely generated group; Combinatorics; Countable set; Bounded function; Group (periodic table); Metric (unit); Discrete mathematics; Finitely-generated abelian group; Separable space; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005606734,0.0003655679,0.0004221252,0.001105323,0.001167043,0.001779387,0.0005231156,0.0005930897,0.002023725],"category_scores_gemma":[0.002322596,0.0002123613,0.0005872563,0.0005092453,0.00394553,0.003121345,0.002025887,0.00155891,0.0001764663],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001382951,"about_ca_system_score_gemma":0.0002735964,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00100891,"about_ca_topic_score_gemma":0.0007051082,"domain_scores_codex":[0.9994326,0.0001318372,0.0000232405,0.0001332468,0.0001649893,0.0001140793],"domain_scores_gemma":[0.9981365,0.000757834,0.000327183,0.0001963297,0.0001605238,0.0004215892],"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":[0.00003853984,0.00001636374,0.00137092,0.00002169088,0.000009341819,0.00005335369,0.0003934195,0.00178314,0.001383331,0.9917075,0.0004310735,0.0027914],"study_design_scores_gemma":[0.00001110443,0.00003186816,0.002437297,0.000009773892,0.000005635427,0.0001771491,0.0001799297,0.009957389,0.001304635,0.9823914,0.003475772,0.0000180114],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.9047796,0.0008269766,0.06058735,0.001690513,0.00005067817,0.00001517623,0.0001399667,0.00009843436,0.03181124],"genre_scores_gemma":[0.9920759,0.0001549294,0.005529047,0.00007405064,0.00006192747,0.00001440762,0.0001053968,0.00001129164,0.001973024],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.002023725,"threshold_uncertainty_score":0.01003402,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1270367314824835,"score_gpt":0.3793802957671584,"score_spread":0.252343564284675,"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."}}