{"id":"W2061886541","doi":"10.1016/j.aim.2012.06.022","title":"A measure-theoretic approach to the theory of dense hypergraphs","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":80,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Hypergraph; Lemma (botany); Measure (data warehouse); Lebesgue measure; Discrete mathematics; Mathematical proof; Ultraproduct; Pure mathematics; Lebesgue integration","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":[0.002691273,0.0008595528,0.001428067,0.004772259,0.002541898,0.005265144,0.002893898,0.001868494,0.005319406],"category_scores_gemma":[0.006250446,0.0008458453,0.00164835,0.0041727,0.00907631,0.01408349,0.00452046,0.005192776,0.0005771041],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003541342,"about_ca_system_score_gemma":0.001279543,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001717377,"about_ca_topic_score_gemma":0.001533165,"domain_scores_codex":[0.9981635,0.0007257864,0.0001047706,0.000292913,0.0005702927,0.0001427824],"domain_scores_gemma":[0.995304,0.002868803,0.0003134182,0.0004641325,0.0005944639,0.0004551716],"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":[0.000001085071,0.000002497264,0.00001669849,0.000006478851,0.000001895696,0.000005541654,0.00003784333,0.0002142871,0.00004073517,0.9989274,0.0001487607,0.0005967641],"study_design_scores_gemma":[0.000001587573,0.000001944697,0.00001834055,0.000004189819,0.000001382594,0.000009748414,0.00001594039,0.001151395,0.00002075263,0.9978695,0.0009033045,0.000002013081],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05036024,0.008374037,0.8385422,0.008820491,0.0005189509,0.00005302794,0.0004123487,0.0002279672,0.09269064],"genre_scores_gemma":[0.7972079,0.007492596,0.1606197,0.002145177,0.003245594,0.0002925697,0.0005337774,0.0002151332,0.02824753],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005319406,"threshold_uncertainty_score":0.02569431,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02788214745885991,"score_gpt":0.2875338061719537,"score_spread":0.2596516587130938,"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."}}