{"id":"W2925680367","doi":"10.48550/arxiv.1904.03615","title":"Topology of Pareto sets of strongly convex problems","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Multi-Objective Optimization Algorithms","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"Precursory Research for Embryonic Science and Technology; Japan Society for the Promotion of Science","keywords":"Simplex; Mathematics; Pareto principle; Regular polygon; Mathematical optimization; Dimension (graph theory); Topology (electrical circuits); Multi-objective optimization; Convex analysis; Combinatorics; Convex optimization; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0055049,0.001243725,0.001241171,0.003432382,0.002216644,0.00641231,0.00160929,0.001736068,0.004600543],"category_scores_gemma":[0.01528212,0.0009084581,0.001636446,0.0014854,0.005258931,0.004477646,0.00681652,0.003449679,0.0006272257],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002125552,"about_ca_system_score_gemma":0.001122635,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008607793,"about_ca_topic_score_gemma":0.0006308324,"domain_scores_codex":[0.9955282,0.001955268,0.0002191034,0.000452113,0.001489119,0.0003562444],"domain_scores_gemma":[0.9907774,0.005532901,0.000844741,0.0005394983,0.001379975,0.0009254548],"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":[0.00004383105,0.0000380504,0.0005759422,0.00008077933,0.0000363139,0.0001145935,0.0003090398,0.05254908,0.001159112,0.9354621,0.0007212221,0.008909986],"study_design_scores_gemma":[0.00001840522,0.00005091722,0.0003156429,0.00004684879,0.000009766413,0.00008118147,0.0002108303,0.186732,0.0007673982,0.8089461,0.002800111,0.00002076372],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1240003,0.0006713694,0.8456152,0.001232503,0.00006477931,0.0001213044,0.0002795528,0.0001090624,0.02790594],"genre_scores_gemma":[0.8046614,0.001266251,0.1803466,0.00036981,0.0001749999,0.0005596477,0.0007878881,0.000209795,0.01162371],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00641231,"threshold_uncertainty_score":0.02911305,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05769466798683245,"score_gpt":0.2086168239339704,"score_spread":0.1509221559471379,"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."}}