{"id":"W4404697668","doi":"10.23952/jnva.5.2021.5.07","title":"The weighted set relation: Characterizations in the convex case","year":2021,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"European Research Consortium for Informatics and Mathematics; Norges Teknisk-Naturvitenskapelige Universitet","keywords":"Relation (database); Mathematics; Set (abstract data type); Regular polygon; Computer science; Geometry; Data mining; Programming language","routes":{"ca_aff":false,"ca_fund":false,"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":[0.002878068,0.0008223816,0.0006900125,0.003148136,0.0009483962,0.003183269,0.00153777,0.001315314,0.004473727],"category_scores_gemma":[0.008219576,0.0003756826,0.0009882268,0.003037441,0.003161613,0.009122262,0.002641677,0.002664064,0.0008572564],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001204483,"about_ca_system_score_gemma":0.0004903832,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009530472,"about_ca_topic_score_gemma":0.0005831031,"domain_scores_codex":[0.997027,0.0008972942,0.0002022009,0.0005491482,0.00110579,0.0002185901],"domain_scores_gemma":[0.9963541,0.001782673,0.000622881,0.0004002623,0.0005772189,0.0002628281],"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":[0.00001307778,0.0000110295,0.0003031152,0.00003782263,0.00001165632,0.00005822043,0.0001664139,0.003654094,0.001095891,0.9825951,0.0006461492,0.01140738],"study_design_scores_gemma":[0.000005954468,0.00005337803,0.0006772287,0.00005861026,0.00001796313,0.0002499041,0.0001950085,0.07523303,0.001302629,0.9112431,0.01093499,0.00002823117],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05605975,0.002575406,0.9007956,0.001070288,0.0001551574,0.00006641092,0.0002334412,0.0001328523,0.03891099],"genre_scores_gemma":[0.7424903,0.003467113,0.2399006,0.0004916329,0.0006979677,0.0003271933,0.0006611021,0.0003241233,0.01163992],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004473727,"threshold_uncertainty_score":0.01522088,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01533865015850765,"score_gpt":0.2622644549545208,"score_spread":0.2469258047960132,"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."}}