{"id":"W4248892306","doi":"10.1007/978-3-319-48311-5_30","title":"Best Approximation Algorithms","year":2017,"lang":"en","type":"book-chapter","venue":"CMS books in mathematics","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Corollary; Intersection (aeronautics); Monotone polygon; Algorithm; Regular polygon; Mathematics; Projection (relational algebra); Computer science; Combinatorics; Discrete mathematics","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":[0.0001297624,0.0003851378,0.0006343411,0.0002075982,0.00005058473,0.00005367316,0.0004109916,0.0003581367,0.00009194112],"category_scores_gemma":[0.0000433435,0.0003840614,0.000148959,0.00001321076,0.0001015161,0.0001116932,0.00008085285,0.0004965758,0.0002470888],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001747906,"about_ca_system_score_gemma":0.0000108157,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001255566,"about_ca_topic_score_gemma":0.000005284882,"domain_scores_codex":[0.9987587,0.000003088662,0.0005304787,0.0002297444,0.0002612427,0.0002167489],"domain_scores_gemma":[0.9988028,0.00005077014,0.0002170649,0.0008261452,0.0000444016,0.00005876758],"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":[0.00000451617,0.0001571096,0.000005005756,0.004146335,0.0004669455,0.0001736102,0.001210082,0.003045226,0.0005568429,0.7430719,0.005084141,0.2420783],"study_design_scores_gemma":[0.000102025,0.00002276026,4.938417e-7,0.0010388,0.00009304292,0.000009809998,0.00001168755,0.07066692,0.0005816441,0.8654786,0.0613793,0.0006149287],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.000003983483,0.0004073725,0.1787282,0.000008930654,0.00008037718,0.0002791397,0.00001260967,0.0004180112,0.8200614],"genre_scores_gemma":[0.000542214,0.0007513615,0.3192477,0.00001702485,0.0002299332,0.00009046956,0.0000536085,0.0003107844,0.678757],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.2414633,"threshold_uncertainty_score":0.9998611,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02832852207741743,"score_gpt":0.267388437995249,"score_spread":0.2390599159178315,"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."}}