{"id":"W3177345467","doi":"10.1609/aaai.v35i6.16690","title":"Necessarily Optimal One-Sided Matchings","year":2021,"lang":"en","type":"article","venue":"","topic":"Game Theory and Voting Systems","field":"Economics, Econometrics and Finance","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Matching (statistics); Focus (optics); Preference; Rank (graph theory); Pareto optimal; Pareto principle; Prefix; Computer science; Mathematical economics; Optimal matching; Mathematics; Mathematical optimization; Combinatorics; Multi-objective optimization; 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":[0.005832424,0.000816106,0.002552494,0.0007588565,0.001388652,0.002136888,0.002675036,0.002527547,0.007699613],"category_scores_gemma":[0.03214066,0.0007308707,0.001285713,0.001883158,0.002347451,0.006517523,0.002284452,0.002191968,0.00118728],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001707819,"about_ca_system_score_gemma":0.001738104,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001172689,"about_ca_topic_score_gemma":0.001386644,"domain_scores_codex":[0.9931003,0.003191327,0.0004160976,0.001722708,0.0008398143,0.0007297553],"domain_scores_gemma":[0.976755,0.01613406,0.001952979,0.00298654,0.0009828641,0.001188623],"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":[0.001075338,0.0006829923,0.004470455,0.0005890561,0.0002164073,0.0003598794,0.0006369915,0.2458855,0.003832398,0.6205278,0.008645384,0.1130778],"study_design_scores_gemma":[0.000122984,0.0001691043,0.0004524803,0.00002856551,0.00002629922,0.0001480163,0.0001053968,0.3833661,0.001240074,0.6125364,0.001779573,0.00002497028],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.240166,0.0004239278,0.7392365,0.001735286,0.00007471197,0.0002979843,0.00088105,0.0004349513,0.01674948],"genre_scores_gemma":[0.7662442,0.0003238486,0.2242266,0.0004852474,0.0001000431,0.0002826679,0.000997502,0.0001270536,0.007212869],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007699613,"threshold_uncertainty_score":0.03084517,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04611186113605634,"score_gpt":0.2170767207593821,"score_spread":0.1709648596233258,"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."}}