{"id":"W4399019256","doi":"10.1007/s10107-024-02093-0","title":"Stable set polytopes with high lift-and-project ranks for the Lovász–Schrijver SDP operator","year":2024,"lang":"en","type":"article","venue":"Mathematical Programming","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo; University of Saskatchewan","funders":"","keywords":"Lift (data mining); Mathematics; Polytope; Operator (biology); Set (abstract data type); Combinatorics; Computer science; Data mining; Chemistry","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":[0.001040119,0.0002946245,0.0003916053,0.0001178888,0.0003537429,0.000721728,0.0003015569,0.0001108228,0.0003000114],"category_scores_gemma":[0.000988632,0.0001636356,0.00009074874,0.0005203886,0.0002737199,0.0003075584,0.0001699376,0.000373867,0.00004754137],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006240155,"about_ca_system_score_gemma":0.0001363247,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001488486,"about_ca_topic_score_gemma":0.000008658907,"domain_scores_codex":[0.9978632,0.00006905873,0.0004194757,0.0004598173,0.0005631641,0.0006253168],"domain_scores_gemma":[0.9961404,0.003053834,0.00005701692,0.0004457381,0.0001752028,0.000127858],"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":[0.0002055488,0.0003725832,0.0000237419,0.005114932,0.0006458365,0.00007253814,0.004664376,0.0004055985,0.0000844826,0.8151465,0.004754068,0.1685098],"study_design_scores_gemma":[0.002475938,0.0008005882,0.000005132012,0.00132805,0.0005368371,0.0002316325,0.004396592,0.6120417,0.002051864,0.2334694,0.1414838,0.001178532],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.00260061,0.001012158,0.9906377,0.001582315,0.00008971785,0.003061597,0.00004021177,0.0004733121,0.0005024154],"genre_scores_gemma":[0.04716625,0.00005725486,0.9463125,0.0001051785,0.0002341144,0.001361634,0.0000163273,0.0001777245,0.004568942],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.611636,"threshold_uncertainty_score":0.695964,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07086910854673105,"score_gpt":0.3824650289993057,"score_spread":0.3115959204525746,"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."}}