{"id":"W4255895831","doi":"10.1017/s0021900200003582","title":"Bounds for Owen's Multilinear Extension","year":2007,"lang":"en","type":"article","venue":"Journal of Applied Probability","topic":"Game Theory and Voting Systems","field":"Economics, Econometrics and Finance","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Ministerio de Ciencia y Tecnología; Generalitat de Catalunya; European Regional Development Fund; Royal Canadian Geographical Society","keywords":"Multilinear map; Simple (philosophy); Extension (predicate logic); Mathematics; Blocking (statistics); Field (mathematics); Game theory; Voting; Mathematical economics; Mathematical optimization; Computer science; Pure mathematics; Statistics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.008378692,0.0001102818,0.0004354494,0.000118906,0.00008850427,0.00003448856,0.0001890449,0.0001078601,0.00004572053],"category_scores_gemma":[0.0003511439,0.0001035769,0.0001973624,0.0001157975,0.00006657715,0.00009977585,0.00002243291,0.0001861691,0.00004186526],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001075876,"about_ca_system_score_gemma":0.00002190045,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003959032,"about_ca_topic_score_gemma":0.000003557298,"domain_scores_codex":[0.9983235,0.000009847366,0.00116416,0.0002112794,0.00004726583,0.0002439552],"domain_scores_gemma":[0.9983432,0.0002296408,0.0009496277,0.0002502075,0.0001280494,0.00009925936],"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":[0.002461758,0.0006969015,0.01697313,0.0003646245,0.0001229048,0.000005630435,0.00164302,0.0005417375,0.002353055,0.9635155,0.0009948283,0.01032692],"study_design_scores_gemma":[0.002056113,0.0003501207,0.01611247,0.00003438138,0.00001620074,0.00002732966,0.0002171488,0.0007750263,0.003506284,0.8925842,0.08403739,0.0002833374],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9540259,0.0001940243,0.03516144,0.0001398621,0.0007017421,0.0004083589,0.00001570459,0.0000170304,0.009335925],"genre_scores_gemma":[0.9850125,0.000003959074,0.01435958,0.00009997744,0.0003821188,0.00000450727,0.000001286758,0.00001437296,0.0001216352],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08304256,"threshold_uncertainty_score":0.4223744,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05036639708956518,"score_gpt":0.2576028688696615,"score_spread":0.2072364717800964,"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."}}