{"id":"W2910093697","doi":"10.48550/arxiv.1901.03777","title":"Multi-marginal maximal monotonicity and convex analysis","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Monotonic function; Mathematics; Regular polygon; Monotone polygon; Convex function; Applied mathematics; Mathematical optimization; Mathematical economics; 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":[0.003923567,0.0005391902,0.0007849086,0.00115463,0.0009893639,0.002440623,0.001241735,0.001123629,0.004022463],"category_scores_gemma":[0.007687266,0.0003473784,0.001238793,0.0008859256,0.004914419,0.005686365,0.002879253,0.003225071,0.0003644771],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002629247,"about_ca_system_score_gemma":0.0009839939,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001039134,"about_ca_topic_score_gemma":0.001031006,"domain_scores_codex":[0.9980335,0.0008178882,0.00006503226,0.0003695278,0.0005237928,0.0001902484],"domain_scores_gemma":[0.9959778,0.002156537,0.0004114056,0.0004682904,0.0006941586,0.0002917895],"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":[0.000004207744,0.000005358751,0.0002481047,0.0000242738,0.000008443275,0.00003300456,0.00005270479,0.001812218,0.0003158824,0.9939418,0.0002981488,0.003255842],"study_design_scores_gemma":[0.00000223517,0.00001080184,0.0005184119,0.00001880111,0.000004208985,0.00007965042,0.00005487544,0.01981088,0.0002962894,0.9762644,0.002933045,0.000006499214],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09736917,0.00296531,0.8313469,0.00541114,0.0001275645,0.00005661436,0.0002081577,0.00009969655,0.06241546],"genre_scores_gemma":[0.8998067,0.001543286,0.08673947,0.0006467868,0.0002977166,0.00009956587,0.0001089334,0.00009000459,0.01066738],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004022463,"threshold_uncertainty_score":0.02075005,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1470885862311135,"score_gpt":0.2420545717399163,"score_spread":0.09496598550880275,"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."}}