{"id":"W2087975652","doi":"10.1016/j.disopt.2008.10.002","title":"On the polyhedral lift-and-project methods and the fractional stable set polytope","year":2008,"lang":"en","type":"article","venue":"Discrete Optimization","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Polytope; Mathematics; Conjecture; Combinatorics; Lift (data mining); Operator (biology); Polyhedral combinatorics; Set (abstract data type); Polyhedron; Symmetry (geometry); Birkhoff polytope; Discrete mathematics; Computer science; Geometry; Regular polygon","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":[0.0009441262,0.0001798903,0.0002119011,0.0001020173,0.0007858965,0.0001004223,0.0001639254,0.00007937811,0.0002807364],"category_scores_gemma":[0.001941854,0.00009985884,0.00004990805,0.0003824595,0.0004368935,0.0002895864,0.0001235703,0.0002917892,0.000005036257],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004115125,"about_ca_system_score_gemma":0.00007267009,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000042407,"about_ca_topic_score_gemma":0.000002546586,"domain_scores_codex":[0.9982032,0.000601595,0.0002666808,0.0002830239,0.0003955114,0.0002499656],"domain_scores_gemma":[0.997016,0.002299706,0.0001456622,0.0003377878,0.0001415978,0.00005928904],"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":[0.00079567,0.0000940918,0.0001393217,0.00004510434,0.0001848745,0.000009507422,0.00455312,0.4561091,0.00004219153,0.5285299,0.006890368,0.00260676],"study_design_scores_gemma":[0.001129527,0.00004724229,0.00005326193,0.00001573974,0.00002490935,0.00005404987,0.000532626,0.9769164,0.0001429616,0.02029046,0.0006310538,0.0001617734],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.001321551,0.0001676549,0.9901849,0.00365545,0.00007191705,0.0007425355,0.00002772504,0.00007199442,0.003756274],"genre_scores_gemma":[0.02376612,0.001343312,0.9690571,0.0008541615,0.0001333722,0.0001880509,0.00007312296,0.00007851607,0.004506242],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.5208073,"threshold_uncertainty_score":0.604456,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08774811797470744,"score_gpt":0.4213729508608465,"score_spread":0.3336248328861391,"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."}}