{"id":"W2950633536","doi":"10.48550/arxiv.math/0104020","title":"Self-scaled barriers for irreducible symmetric cones","year":2001,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Norges Forskningsråd; Engineering and Physical Sciences Research Council; Korea Science and Engineering Foundation","keywords":"Homothetic transformation; Interior point method; Euclidean geometry; Mathematics; Semidefinite programming; Pure mathematics; Algebraic number; Algebra over a field; Mathematical optimization; Mathematical analysis","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004395691,0.0004250651,0.0005983766,0.0008225354,0.0002794062,0.00007975461,0.0009092579,0.0004885043,0.0003526211],"category_scores_gemma":[0.001241015,0.0005056636,0.0003388545,0.001414999,0.0001418158,0.0002144558,0.0007565617,0.0006375758,0.00005988203],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005887533,"about_ca_system_score_gemma":0.0004540546,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000214148,"about_ca_topic_score_gemma":0.00001447168,"domain_scores_codex":[0.9975668,0.0001429086,0.0003394898,0.001139457,0.00017838,0.0006329858],"domain_scores_gemma":[0.9965065,0.0009654318,0.0003410769,0.001098794,0.0006558868,0.0004322709],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000380366,0.0006020051,0.001093851,0.002080094,0.001034134,0.000351972,0.0005315743,0.40559,0.00001208173,0.579545,0.007857039,0.0009218601],"study_design_scores_gemma":[0.001685816,0.00007110141,0.00001277394,0.00007866185,0.0002532021,0.000006790145,0.0004238224,0.6639953,0.0001343445,0.3271733,0.005512938,0.0006519289],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01741211,0.0001111964,0.9672757,0.0001085299,0.0005841206,0.002103835,0.0001848223,0.0006687033,0.01155101],"genre_scores_gemma":[0.6379811,0.002321575,0.3065054,0.0001095153,0.0005044323,0.00004705019,0.0002304301,0.0003178895,0.05198264],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6607702,"threshold_uncertainty_score":0.9997395,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1451244897608016,"score_gpt":0.2738971703172926,"score_spread":0.128772680556491,"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."}}