{"id":"W4390306844","doi":"10.48550/arxiv.2312.15827","title":"Trees of Graphs as Boundaries of Hyperbolic Groups","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Narodowe Centrum Nauki","keywords":"Mathematics; Word (group theory); Combinatorics; Tree (set theory); Characterization (materials science); Pure mathematics; Geometry; Physics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001794787,0.000241879,0.0002189895,0.001282776,0.0006770578,0.001955313,0.0003787939,0.0006086241,0.002562919],"category_scores_gemma":[0.0008302503,0.0001572391,0.0002172611,0.0005592771,0.001708388,0.003111358,0.00128296,0.0006807334,0.0004029286],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004528225,"about_ca_system_score_gemma":0.0001627162,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003968681,"about_ca_topic_score_gemma":0.0004781471,"domain_scores_codex":[0.9997962,0.00003300104,0.0000104559,0.00005211596,0.0000598192,0.00004841009],"domain_scores_gemma":[0.9995989,0.0001040874,0.000102068,0.0000382339,0.00005351778,0.0001032098],"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":[0.00004187105,0.00002003546,0.002084422,0.00005705068,0.000005186255,0.0004300647,0.002613235,0.001642173,0.009845012,0.9747372,0.0004920062,0.008031729],"study_design_scores_gemma":[0.00001608877,0.00006239186,0.003825127,0.00004562106,0.00001364325,0.0008491547,0.001924801,0.008878928,0.006139307,0.9670994,0.01111912,0.00002635891],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9588528,0.0003977883,0.01593971,0.0001973801,0.00003075076,0.0000237744,0.0001141266,0.00008748488,0.02435624],"genre_scores_gemma":[0.9913638,0.0002090818,0.003687837,0.00004681597,0.00004477093,0.00001696369,0.0001770269,0.00002634845,0.004427338],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002562919,"threshold_uncertainty_score":0.008573771,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1321233593871841,"score_gpt":0.230992100406285,"score_spread":0.09886874101910098,"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."}}