{"id":"W3099079581","doi":"10.55016/ojs/cdm.v16i3.71526","title":"Polytopal balls arising in optimization","year":2021,"lang":"en","type":"article","venue":"Contributions to Discrete Mathematics","topic":"Optimization and Packing Problems","field":"Engineering","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Dual polyhedron; Polytope; Mathematics; Combinatorics; Unit sphere; Ball (mathematics); Hypercube; Unit cube; Norm (philosophy); Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009904904,0.001289407,0.0009773537,0.001683125,0.001066964,0.002553944,0.000960714,0.001222026,0.005592889],"category_scores_gemma":[0.005460489,0.0005529101,0.0006909431,0.001675861,0.002666804,0.002887573,0.001920745,0.002695851,0.0008969897],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001101849,"about_ca_system_score_gemma":0.0004093483,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001745164,"about_ca_topic_score_gemma":0.001023275,"domain_scores_codex":[0.9988801,0.0004173423,0.00003631478,0.0001770379,0.0003767739,0.0001124134],"domain_scores_gemma":[0.9983867,0.0009594333,0.0001537288,0.0001025499,0.0002339322,0.0001635886],"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":[0.00003318151,0.00002500354,0.0002638216,0.0001303402,0.00001642099,0.00006428012,0.0001024088,0.02652592,0.000652748,0.9561112,0.003582426,0.01249234],"study_design_scores_gemma":[0.00001616659,0.00004633641,0.0004421656,0.00007284959,0.00001206504,0.0001753322,0.0001446315,0.1686082,0.000553584,0.8124365,0.01747437,0.00001775576],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07078162,0.01071343,0.8313642,0.002229153,0.0005511857,0.0000891216,0.0005940514,0.0002197731,0.08345743],"genre_scores_gemma":[0.7544392,0.01126617,0.1944575,0.0007062324,0.001406316,0.0004549676,0.001278901,0.0004047476,0.0355859],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005592889,"threshold_uncertainty_score":0.01871008,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008618149046474167,"score_gpt":0.2558022321203912,"score_spread":0.247184083073917,"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."}}