{"id":"W2564145587","doi":"10.1287/opre.2016.1549","title":"0/1 Polytopes with Quadratic Chvátal Rank","year":2016,"lang":"en","type":"article","venue":"Operations Research","topic":"Complexity and Algorithms in Graphs","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"National Science Foundation","keywords":"Polytope; Rank (graph theory); Combinatorics; Closure (psychology); Mathematics; Quadratic equation; Mathematical optimization; Geometry; Economics","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":[],"consensus_categories":[],"category_scores_codex":[0.0006450487,0.00007977088,0.00008837296,0.0002376114,0.000670295,0.0004265164,0.000854508,0.00003035589,0.0002203579],"category_scores_gemma":[0.000103177,0.00004487917,0.00002739676,0.0008511173,0.0002534045,0.0007238608,0.0002503115,0.0001558221,0.0004316853],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000406015,"about_ca_system_score_gemma":0.000225558,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001453464,"about_ca_topic_score_gemma":0.0004951979,"domain_scores_codex":[0.9983984,0.0001965801,0.0001257436,0.0003218219,0.0005933187,0.0003641706],"domain_scores_gemma":[0.9987268,0.0002166123,0.000006167117,0.0006417649,0.0003006397,0.0001080507],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001125287,0.0001301374,0.0002730079,0.000005910139,0.00002124923,0.00002786133,0.0006174375,0.00009553278,0.007082157,0.8825418,0.001870199,0.1073235],"study_design_scores_gemma":[0.0115718,0.006194914,0.03212803,0.001139915,0.00002632103,0.0007779513,0.001369549,0.4996245,0.1165411,0.1126966,0.2143939,0.00353543],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04734139,0.0001047425,0.9251584,0.01616196,0.0001191884,0.0003633027,0.000007645129,0.0001353597,0.01060806],"genre_scores_gemma":[0.9425698,0.0000327147,0.04925945,0.0000812263,0.0001001479,0.00008637033,0.000001460043,0.000008151776,0.007860702],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8952284,"threshold_uncertainty_score":0.5548585,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08095007451776011,"score_gpt":0.3601140009281967,"score_spread":0.2791639264104366,"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."}}