{"id":"W121557243","doi":"10.1007/0-387-25570-2_2","title":"Monotonic Optimization: Branch and Cut Methods","year":2005,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":103,"is_retracted":false,"has_abstract":false,"ca_institutions":"HEC Montréal; Polytechnique Montréal; Group for Research in Decision Analysis","funders":"","keywords":"Monotonic function; Partition (number theory); Mathematics; Mathematical optimization; Property (philosophy); Regular polygon; Algorithm; Applied mathematics; Combinatorics; Mathematical analysis; 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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000410716,0.0004073971,0.0005597282,0.0002694923,0.0001214213,0.00007810192,0.0002336074,0.0004578,0.01204741],"category_scores_gemma":[0.0002511019,0.0003848405,0.0001053416,0.00006063583,0.0001490306,0.0001833174,0.0002341939,0.0005163918,0.00008753469],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001283588,"about_ca_system_score_gemma":0.0001032549,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.766507e-7,"about_ca_topic_score_gemma":0.000006173479,"domain_scores_codex":[0.9981777,0.00005406262,0.0005161446,0.0005411995,0.0004105212,0.000300378],"domain_scores_gemma":[0.998045,0.0006559343,0.0002137718,0.0006033932,0.0002983173,0.0001835999],"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":[0.00001835979,0.00003241895,4.081966e-7,0.0001601322,0.00016745,0.000008877805,0.0001001583,0.03422963,0.000002789594,0.8086156,0.00496013,0.1517041],"study_design_scores_gemma":[0.0007337959,0.00006064022,2.6796e-7,0.0001201699,0.0001013164,0.00006215712,0.00001170778,0.3048807,0.0001247748,0.3736411,0.3194206,0.0008427608],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[4.286619e-8,0.0004994925,0.5321881,0.0001973351,0.00004220953,0.0003537601,0.00000776401,0.0001298571,0.4665815],"genre_scores_gemma":[4.837811e-7,0.001591221,0.5134654,0.00007824646,0.0001221913,0.0000151719,0.00001378002,0.00009709234,0.4846164],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.4349745,"threshold_uncertainty_score":0.9998603,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07730229124715568,"score_gpt":0.4151627299745477,"score_spread":0.337860438727392,"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."}}