{"id":"W2062832600","doi":"10.1007/s11083-005-9026-5","title":"Supermodular Functions on Finite Lattices","year":2005,"lang":"en","type":"article","venue":"Order","topic":"Fuzzy Systems and Optimization","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"York University","keywords":"Mathematics; Modulo; Cone (formal languages); Modular design; Focus (optics); Multivariate statistics; Pure mathematics; Discrete mathematics; Algebra over a field; Statistics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.002034092,0.0007689676,0.001170865,0.002269,0.001393419,0.003135137,0.0008547865,0.0006686428,0.006060537],"category_scores_gemma":[0.004352218,0.0005522296,0.0008604144,0.00188147,0.003722334,0.006487562,0.001569899,0.002328533,0.0006111251],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00230397,"about_ca_system_score_gemma":0.0008530026,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001484885,"about_ca_topic_score_gemma":0.001964636,"domain_scores_codex":[0.9989334,0.0003816582,0.00005448193,0.0001475826,0.0003737159,0.0001091139],"domain_scores_gemma":[0.9968089,0.001872592,0.0003338456,0.0003232933,0.0004003875,0.0002610121],"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":[0.00001335073,0.000008583941,0.00004040729,0.00001748808,0.000004212464,0.00001877471,0.00006977221,0.00145945,0.0002926832,0.9941441,0.0003909862,0.003540206],"study_design_scores_gemma":[0.000005552597,0.000009684622,0.00003906478,0.000005289445,0.000002662535,0.00003111734,0.00002925541,0.00739433,0.0001951018,0.9908348,0.001447528,0.000005561018],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2098818,0.002902103,0.6984522,0.002606057,0.000292384,0.00004882314,0.0004273342,0.0002364388,0.08515289],"genre_scores_gemma":[0.8448463,0.002308206,0.1246751,0.0004053046,0.0005833314,0.0001206529,0.0002877615,0.0001331847,0.02664013],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006060537,"threshold_uncertainty_score":0.02027452,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03630029057446595,"score_gpt":0.2807656256942987,"score_spread":0.2444653351198327,"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."}}