{"id":"W4403576226","doi":"10.48550/arxiv.2410.09201","title":"The Condorcet Dimension of Metric Spaces","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Fuzzy and Soft Set Theory","field":"Decision Sciences","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Condorcet method; Dimension (graph theory); Mathematics; Metric (unit); Metric space; Mathematical economics; Pure mathematics; Economics; Political science; Voting; Operations management","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003034013,0.0008205258,0.0009883374,0.003355216,0.002335564,0.005825814,0.001274305,0.001236949,0.002397863],"category_scores_gemma":[0.01801629,0.000564491,0.0008034345,0.002520464,0.006615753,0.007200292,0.003559946,0.002785776,0.0004490718],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001898567,"about_ca_system_score_gemma":0.0007317374,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009280355,"about_ca_topic_score_gemma":0.0005880007,"domain_scores_codex":[0.9950094,0.001766553,0.000363052,0.001124518,0.001323813,0.0004125922],"domain_scores_gemma":[0.9835956,0.009921677,0.00170697,0.001714791,0.001676444,0.001384418],"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":[0.00007406851,0.0000158347,0.0009683296,0.00007042161,0.00002902712,0.00005077709,0.0002405468,0.003881742,0.0006865487,0.9848233,0.001237088,0.007922104],"study_design_scores_gemma":[0.00001083901,0.00003900036,0.000806706,0.00002472313,0.00000986232,0.0001943005,0.0001007362,0.01965387,0.0006263363,0.9740979,0.004408443,0.00002724653],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5383934,0.005397459,0.3956468,0.004388346,0.0003065263,0.0001109257,0.00168606,0.0002117106,0.05385872],"genre_scores_gemma":[0.9410278,0.001602103,0.05203973,0.0002327125,0.0003932591,0.0001714137,0.0007352136,0.00005126125,0.003746428],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005825814,"threshold_uncertainty_score":0.01604557,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1536784931917785,"score_gpt":0.2606281821641052,"score_spread":0.1069496889723266,"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."}}