{"id":"W3033460939","doi":"10.1137/1.9781611976465.63","title":"Beyond Submodular Maximization via One-Sided Smoothness","year":2021,"lang":"en","type":"book-chapter","venue":"Society for Industrial and Applied Mathematics eBooks","topic":"Complexity and Algorithms in Graphs","field":"Computer Science","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Submodular set function; Multilinear map; Matroid; Mathematics; Parameterized complexity; Set function; Rounding; Discrete mathematics; Polytope; Function (biology); Combinatorics; Extension (predicate logic); Monotone polygon; Mathematical optimization; Set (abstract data type); Pure mathematics; Computer science","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":[0.003049948,0.001327965,0.001595197,0.0008341105,0.0006290891,0.001948718,0.001366902,0.001504118,0.002598992],"category_scores_gemma":[0.008536409,0.0006284179,0.001611943,0.001283249,0.0024623,0.003837795,0.003317262,0.00390405,0.0004388361],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001593335,"about_ca_system_score_gemma":0.0011917,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001462793,"about_ca_topic_score_gemma":0.001197094,"domain_scores_codex":[0.9987246,0.0005054741,0.00004038599,0.0002585666,0.0003269505,0.0001439728],"domain_scores_gemma":[0.9969435,0.0020727,0.0002266964,0.0004050898,0.0001893938,0.0001626028],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001388239,0.00009703106,0.0009595693,0.0002506177,0.0000889722,0.0001301854,0.0001798041,0.5782332,0.00403955,0.3638055,0.002273828,0.04980293],"study_design_scores_gemma":[0.0000142842,0.00008350883,0.0001896114,0.0000274659,0.0000125048,0.00005567483,0.00002812778,0.8038308,0.0009633378,0.1923283,0.00245018,0.00001614933],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.03033597,0.0008990463,0.9618428,0.0007821772,0.00003626065,0.00004299358,0.0001083391,0.0002310059,0.005721494],"genre_scores_gemma":[0.6756754,0.001740059,0.3142292,0.0004586247,0.0002349636,0.0002206692,0.0003257491,0.0003355209,0.006779751],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003049948,"threshold_uncertainty_score":0.01612991,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0661011885999601,"score_gpt":0.2321363231350354,"score_spread":0.1660351345350753,"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."}}