{"id":"W2980007075","doi":"10.1007/s10107-021-01723-1","title":"The aggregation closure is polyhedral for packing and covering integer programs","year":2021,"lang":"en","type":"preprint","venue":"Mathematical Programming","topic":"Optimization and Search Problems","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Closure (psychology); Intersection (aeronautics); Generalization; Combinatorics; Polyhedron; Integer (computer science); Mathematics; Computer science; Political science; Geography; Mathematical analysis; Law","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":"codex-gemma-dda1882f352a","candidate_categories":["scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.001092484,0.0002706733,0.0003270977,0.00005660876,0.0004554683,0.003804644,0.000694857,0.0002162792,0.000006263294],"category_scores_gemma":[0.0003641035,0.000195874,0.0001861419,0.0002087102,0.0001396789,0.0002766151,0.001429658,0.0004998712,0.000004144748],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005654089,"about_ca_system_score_gemma":0.0001142389,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007095594,"about_ca_topic_score_gemma":0.000006978145,"domain_scores_codex":[0.9978416,0.0000927394,0.0004974559,0.0006065757,0.0004332669,0.0005283573],"domain_scores_gemma":[0.9983823,0.0003854439,0.0002173433,0.0006493651,0.0002193653,0.0001461798],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000006591615,0.0001287236,0.0001850784,0.001343947,0.0001033769,0.000006208156,0.007293424,0.0001378733,0.000009081311,0.1269297,0.00005582103,0.8638001],"study_design_scores_gemma":[0.0004136396,0.0001284984,0.00002492128,0.001361103,0.00003942778,0.00002648855,0.0005846585,0.8257529,0.0002703078,0.1646565,0.006226421,0.0005151748],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002931638,0.0006170176,0.9907504,0.003303124,0.0002372739,0.001713734,0.000001504918,0.0002471439,0.0001981399],"genre_scores_gemma":[0.3013726,0.00008442937,0.6969268,0.0001924854,0.0001347948,0.0009465248,0.0000318281,0.00004776981,0.0002628003],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.8632849,"threshold_uncertainty_score":0.9972295,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03945736423544795,"score_gpt":0.2967326560548221,"score_spread":0.2572752918193741,"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."}}