{"id":"W2068022782","doi":"10.1137/130945818","title":"Vertices of Spectrahedra arising from the Elliptope, the Theta Body, and Their Relatives","year":2015,"lang":"en","type":"preprint","venue":"SIAM Journal on Optimization","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Office of Naval Research; Natural Sciences and Engineering Research Council of Canada; University of Waterloo","keywords":"Mathematics; Combinatorics; Complementarity (molecular biology); Vertex (graph theory); Regular polygon; Conic section; Conic optimization; Pure mathematics; Convex set; Convex optimization; Graph; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001690689,0.0002655685,0.0004097415,0.0001253321,0.0002760125,0.0003223614,0.000459656,0.0001779568,0.00008636885],"category_scores_gemma":[0.001619073,0.0001224673,0.0001264937,0.000231079,0.0001371354,0.0001961576,0.0002392658,0.0009448724,0.000001670185],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005451806,"about_ca_system_score_gemma":0.0001667107,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003335495,"about_ca_topic_score_gemma":0.000004935999,"domain_scores_codex":[0.9982085,0.0003696375,0.0006283305,0.0002060198,0.0004050147,0.0001824834],"domain_scores_gemma":[0.9960453,0.001977773,0.001100725,0.00040462,0.0004134251,0.00005816402],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0005702659,0.0005281234,0.0006504344,0.0006040544,0.001932545,0.00001246714,0.07893606,0.7434208,0.00007528091,0.1593756,0.00788855,0.006005838],"study_design_scores_gemma":[0.0004479321,0.0001637586,0.0001819394,0.0009021658,0.0002158775,0.00002985549,0.006013033,0.06163726,0.0005287551,0.9288459,0.0007664156,0.0002670877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2505969,0.02770176,0.673131,0.0128116,0.00249496,0.001483962,0.0003002178,0.0001202492,0.03135938],"genre_scores_gemma":[0.9759504,0.008195118,0.01384349,0.0001936799,0.001036626,0.000009495707,0.00003432318,0.00006595717,0.000670909],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7694703,"threshold_uncertainty_score":0.4994074,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08091285722626668,"score_gpt":0.31642708135062,"score_spread":0.2355142241243533,"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."}}