{"id":"W2036888839","doi":"10.1112/blms/bdr023","title":"Morse theory, random subgraphs, and incoherent groups","year":2011,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Morse code; Kleinian group; Finitely-generated abelian group; Pure mathematics; Combinatorics; Computer science","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":[0.0007337197,0.0003121096,0.0005806266,0.001285157,0.0008851325,0.001553083,0.0005418076,0.0004956583,0.001735975],"category_scores_gemma":[0.003231113,0.0002690981,0.0004422973,0.0008877817,0.002987446,0.003017655,0.001818467,0.00102588,0.0001711836],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005503928,"about_ca_system_score_gemma":0.000199553,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004267547,"about_ca_topic_score_gemma":0.0005349225,"domain_scores_codex":[0.9992982,0.0002136759,0.00003585082,0.0001172251,0.0002264547,0.0001085918],"domain_scores_gemma":[0.9973109,0.001265541,0.0005153983,0.0005269579,0.0002030803,0.0001781497],"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":[0.00002171101,0.00001021386,0.001926574,0.00002242229,0.00001176453,0.0001701575,0.000503773,0.002230227,0.00184005,0.9890427,0.0002915381,0.003928885],"study_design_scores_gemma":[0.000007242007,0.00003074422,0.001229255,0.00001163176,0.00001751784,0.0004180661,0.0003413488,0.01511148,0.001962265,0.9773859,0.003472293,0.00001227241],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.785199,0.0007216506,0.1956468,0.001010838,0.00003691316,0.00002255966,0.0001120521,0.00009243313,0.01715794],"genre_scores_gemma":[0.9833859,0.0002619897,0.01307424,0.00006740051,0.00004181434,0.00001960515,0.0001056794,0.00002359664,0.003019862],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001735975,"threshold_uncertainty_score":0.005807459,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01666813973464852,"score_gpt":0.2058635340408783,"score_spread":0.1891953943062298,"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."}}