{"id":"W2952787226","doi":"10.48550/arxiv.1003.3127","title":"Chebyshev Sets, Klee Sets, and Chebyshev Centers with respect to Bregman Distances: Recent Results and Open Problems","year":2010,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Chebyshev filter; Mathematics; Euclidean space; Bregman divergence; Euclidean distance; Euclidean geometry; Divergence (linguistics); Space (punctuation); Set (abstract data type); Pure mathematics; Mathematical analysis; Applied mathematics; Computer science; Geometry","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006581163,0.0004791765,0.0006896353,0.0001271319,0.0002743509,0.0003433048,0.0009739925,0.0003088798,0.00009039024],"category_scores_gemma":[0.0001869272,0.0004270246,0.00006955538,0.0003377676,0.0002628463,0.0001794663,0.002123045,0.0007426863,0.00001502359],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001339611,"about_ca_system_score_gemma":0.0001077428,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003725317,"about_ca_topic_score_gemma":0.001604631,"domain_scores_codex":[0.9975353,0.0001094653,0.0004666833,0.001282811,0.000149617,0.0004561277],"domain_scores_gemma":[0.997218,0.0003864778,0.0004119019,0.001362273,0.000186955,0.0004344411],"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":[0.0008622392,0.0005548085,0.0004090221,0.002177552,0.0003332019,0.00007797559,0.003925839,0.0004666995,0.00008889002,0.980936,0.009254701,0.0009130628],"study_design_scores_gemma":[0.003441557,0.0003340578,0.0007115192,0.002234178,0.0005131935,0.00003822908,0.00294572,0.006984484,0.0002335353,0.9306974,0.05005594,0.001810146],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9326638,0.0001065052,0.0256222,0.003729275,0.0001584423,0.00514315,0.001170952,0.000301051,0.03110465],"genre_scores_gemma":[0.9771081,0.0009466202,0.01576168,0.0002363139,0.00006237126,0.00004511615,0.0001334686,0.00009631454,0.005609998],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05023857,"threshold_uncertainty_score":0.9998181,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.189028300063111,"score_gpt":0.2710018291861729,"score_spread":0.08197352912306188,"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."}}