{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021074,0.001331429,0.001635824,0.001599934,0.001035528,0.001585506,0.001360644,0.001575583,0.005897752],"category_scores_gemma":[0.006391963,0.000617186,0.001288848,0.001438501,0.002893964,0.001916402,0.003582227,0.00279242,0.0005235266],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001143007,"about_ca_system_score_gemma":0.001189373,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003953837,"about_ca_topic_score_gemma":0.003482253,"domain_scores_codex":[0.9993269,0.0003347924,0.00002010544,0.00007100155,0.0001915045,0.00005555613],"domain_scores_gemma":[0.9985683,0.001019438,0.00008106356,0.00009046062,0.0001524817,0.0000881852],"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":[0.00008880922,0.00006244541,0.0003007384,0.0002145393,0.00005084388,0.00005282184,0.0001112062,0.4487576,0.0009996317,0.5066649,0.002822977,0.03987345],"study_design_scores_gemma":[0.00001155964,0.00002576273,0.00006076653,0.00002961968,0.000008510023,0.00001309205,0.00002652947,0.8475114,0.0001885846,0.1499861,0.002127151,0.00001086365],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.009404512,0.0008786396,0.97758,0.0005663809,0.0001980692,0.00004999603,0.00006087914,0.00003835482,0.0112232],"genre_scores_gemma":[0.4690076,0.004075466,0.4891843,0.0006424825,0.0006862954,0.0006776248,0.0003614833,0.0004268069,0.03493799],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005897752,"threshold_uncertainty_score":0.01972997,"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."}}