{"id":"W2287963267","doi":"10.1090/tran/6854","title":"Stability results for sections of convex bodies","year":2015,"lang":"en","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Regular polygon; Stability (learning theory); Mathematics; Stability theorem; Section (typography); Combinatorics; Function (biology); Convex body; Pure mathematics; Mathematical analysis; Convex hull; Geometry; Computer science","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0008996752,0.0007029129,0.0005577368,0.002286649,0.001455619,0.001409793,0.001005519,0.0007597567,0.006588055],"category_scores_gemma":[0.005441213,0.0004001017,0.001191996,0.0006790868,0.002655737,0.002673543,0.002114386,0.001663522,0.0008403423],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001907413,"about_ca_system_score_gemma":0.0006547169,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002588571,"about_ca_topic_score_gemma":0.00116532,"domain_scores_codex":[0.9995105,0.00008012594,0.00001788356,0.0001671949,0.0001501866,0.0000741386],"domain_scores_gemma":[0.9976992,0.001017608,0.0003337705,0.0001554691,0.0005942334,0.0001998086],"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":[0.00005657424,0.00001781154,0.00166684,0.00007569618,0.00002975688,0.0001398771,0.0004404332,0.02999559,0.006525304,0.9497373,0.001537031,0.009777875],"study_design_scores_gemma":[0.00001266348,0.00005649855,0.001682841,0.00003976284,0.00002601556,0.0002058343,0.000274853,0.2851332,0.008988979,0.6968755,0.006673379,0.00003048357],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2441445,0.001631793,0.6924496,0.001285248,0.0001378083,0.00009674346,0.0003565709,0.000241249,0.05965649],"genre_scores_gemma":[0.9222213,0.001182511,0.04092371,0.0002276767,0.0001867974,0.0001494039,0.0003798686,0.0002549726,0.03447381],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006588055,"threshold_uncertainty_score":0.02203918,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1214961104887763,"score_gpt":0.3597430153698527,"score_spread":0.2382469048810764,"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."}}