{"id":"W3134322783","doi":"10.37236/10328","title":"Resolutions of Convex Geometries","year":2021,"lang":"en","type":"preprint","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Convex analysis; Convex hull; Convex set; Mathematics; Affine transformation; Subderivative; Convex polytope; Regular polygon; Convex combination; Convex geometry; Geometry; Resolution (logic); Pure mathematics; Convex body; Combinatorics; Proper convex function; Convex optimization; Computer science; Artificial intelligence","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":"codex-gemma-dda1882f352a","candidate_categories":["research_integrity"],"consensus_categories":[],"category_scores_codex":[0.002274709,0.000224141,0.0008295478,0.0002194474,0.000135965,0.0000180916,0.0008732511,0.0003105359,0.00006165224],"category_scores_gemma":[0.001812974,0.0001625793,0.0003880413,0.0003818943,0.0003435509,0.00007232607,0.0003810026,0.002844923,0.000001258019],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003160824,"about_ca_system_score_gemma":0.001518736,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003534804,"about_ca_topic_score_gemma":0.000006175751,"domain_scores_codex":[0.9977195,0.000375093,0.0008792516,0.0001363563,0.0004266398,0.0004631263],"domain_scores_gemma":[0.9952669,0.001665963,0.001610711,0.0006250319,0.0007767807,0.00005459648],"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":[0.00007083238,0.0002081519,0.0000399827,0.0001164617,0.0004743976,0.00001394531,0.0006205566,0.0001134404,0.00007943204,0.9975722,0.0006032357,0.00008739548],"study_design_scores_gemma":[0.0004518772,0.0002515089,0.00003461106,0.0001465133,0.0003325888,0.0002054418,0.000760595,0.00001459516,0.002536821,0.9938462,0.001282135,0.0001370553],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7346556,0.06361123,0.1934676,0.001938596,0.002965486,0.000354288,0.00001292845,0.00003805956,0.002956234],"genre_scores_gemma":[0.9945441,0.004283091,0.0001944244,0.00003213594,0.0001140263,0.00000333494,0.000002888699,0.00002922379,0.0007967165],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2598886,"threshold_uncertainty_score":0.9994556,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03154710341471175,"score_gpt":0.3241554176278077,"score_spread":0.292608314213096,"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."}}