{"id":"W2739627855","doi":"10.24963/ijcai.2017/363","title":"Optimizing Ratio of Monotone Set Functions","year":2017,"lang":"en","type":"article","venue":"","topic":"Complexity and Algorithms in Graphs","field":"Computer Science","cited_by":15,"is_retracted":false,"has_abstract":true,"ca_institutions":"Novelis (Canada)","funders":"National Natural Science Foundation of China","keywords":"Submodular set function; Monotone polygon; Set function; Set (abstract data type); Mathematics; Greedy algorithm; Approximation algorithm; Combinatorics; Discrete mathematics; Mathematical optimization; Upper and lower bounds; Applied mathematics; Computer science; Mathematical analysis","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":[0.003753372,0.002428415,0.002702024,0.00157459,0.0006070611,0.002075041,0.003146176,0.002135937,0.005531782],"category_scores_gemma":[0.01418366,0.001037457,0.001545719,0.001450009,0.001458572,0.004709268,0.002165449,0.002234985,0.001222126],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002388941,"about_ca_system_score_gemma":0.001250515,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001252616,"about_ca_topic_score_gemma":0.001135195,"domain_scores_codex":[0.9966306,0.001498005,0.0001007029,0.0006803456,0.0006704688,0.0004199037],"domain_scores_gemma":[0.9947532,0.003869225,0.0003893598,0.0004883191,0.0002824824,0.0002174307],"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":[0.001182861,0.0005497593,0.002369961,0.0007998975,0.0002786959,0.0002877543,0.0002363848,0.6260307,0.01500958,0.09864027,0.008282093,0.2463321],"study_design_scores_gemma":[0.00008665767,0.0004876613,0.0006193562,0.0000499357,0.00007059316,0.0003474018,0.00008194629,0.9392091,0.006498359,0.04966068,0.00285529,0.00003300853],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1340134,0.002034388,0.8421623,0.001061452,0.0001075971,0.0002882439,0.0003801025,0.001624861,0.01832763],"genre_scores_gemma":[0.6374649,0.0007106867,0.3521752,0.0005064884,0.000142502,0.0003920681,0.0005294103,0.0007610563,0.007317693],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005531782,"threshold_uncertainty_score":0.01985002,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05506663702558866,"score_gpt":0.2910248506300271,"score_spread":0.2359582136044384,"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."}}