{"id":"W4385076334","doi":"10.1016/j.ejor.2023.07.026","title":"A linear programming approach to difference-of-convex piecewise linear approximation","year":2023,"lang":"en","type":"article","venue":"European Journal of Operational Research","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Piecewise linear function; Polytope; Mathematical optimization; Linear programming; Mathematics; Bottleneck; Linear approximation; Approximation algorithm; Approximation error; Dimension (graph theory); Algorithm; Computer science; Discrete mathematics; Nonlinear system; Combinatorics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.000995476,0.0009144577,0.000779104,0.0005326513,0.000337811,0.0009904819,0.001518221,0.0007647509,0.002940287],"category_scores_gemma":[0.003143706,0.0005238833,0.00103215,0.0009331146,0.0008235909,0.0008422759,0.001338633,0.002968229,0.0007250811],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000831213,"about_ca_system_score_gemma":0.001033339,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002244214,"about_ca_topic_score_gemma":0.001378159,"domain_scores_codex":[0.9992962,0.0002234423,0.00003159098,0.0001088077,0.000279932,0.00005997637],"domain_scores_gemma":[0.9991114,0.000521017,0.00007985764,0.00009046296,0.000158448,0.00003891083],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000372244,0.00004094145,0.0002271398,0.0001419166,0.00002511092,0.00005560295,0.0000680559,0.9034121,0.003048496,0.04448983,0.001310082,0.04714341],"study_design_scores_gemma":[0.000003831997,0.00002863741,0.00001910864,0.000008277153,0.000004170883,0.00002078813,0.00000649338,0.992619,0.000784261,0.004782602,0.001719034,0.0000039066],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0009104054,0.00006740558,0.997874,0.00005753772,0.00001631279,0.00001308974,0.00001322594,0.00006848051,0.0009795728],"genre_scores_gemma":[0.140881,0.0004464023,0.8544475,0.0001530035,0.00007361723,0.0002362282,0.0001384484,0.0001430181,0.003480894],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002940287,"threshold_uncertainty_score":0.009836257,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2509848535530079,"score_gpt":0.4458775540522877,"score_spread":0.1948927004992798,"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."}}