{"id":"W2963298372","doi":"10.5802/ambp.336","title":"Monotone Hurwitz Numbers and the HCIZ Integral","year":2014,"lang":"fr","type":"article","venue":"Annales mathématiques Blaise Pascal","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":92,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Monotone polygon; Convergence (economics); Integral equation; Pure mathematics; Neighbourhood (mathematics); Mathematical analysis; Applied mathematics; Geometry","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00155315,0.00047119,0.0007858661,0.00008050656,0.0004131512,0.000341812,0.0004671564,0.000289492,0.0002964607],"category_scores_gemma":[0.0004494484,0.0003258371,0.000336599,0.0002745021,0.001184253,0.0002972849,0.0002193454,0.0005579656,0.0004916817],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004064672,"about_ca_system_score_gemma":0.00005309212,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004834638,"about_ca_topic_score_gemma":0.0003486907,"domain_scores_codex":[0.9971787,0.0006016342,0.0008268881,0.0004583175,0.0003635968,0.0005708582],"domain_scores_gemma":[0.9964337,0.001987668,0.0003959781,0.0007673941,0.0001671979,0.0002480696],"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":[0.0001981662,0.0002364312,0.0001824292,0.0005634126,0.0001556831,0.000004468664,0.006612336,0.00001052533,0.0000285139,0.9297022,0.04822469,0.01408119],"study_design_scores_gemma":[0.004566385,0.0001283983,0.0009583923,0.000495824,0.0005611819,0.0001794934,0.001305389,0.03123319,0.0004367309,0.6203822,0.3390855,0.0006672502],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6993901,0.01716939,0.06756539,0.1010329,0.0007893728,0.002694584,0.0001141596,0.0004675533,0.1107766],"genre_scores_gemma":[0.9591514,0.005231218,0.01235188,0.001384954,0.0009831131,0.0003770133,0.00002519453,0.0001129637,0.02038224],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3093199,"threshold_uncertainty_score":0.9999194,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01437385366096989,"score_gpt":0.2791629631460853,"score_spread":0.2647891094851154,"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."}}