{"id":"W2963669944","doi":"10.1016/j.jfa.2016.04.026","title":"Analytic aspects of the bi-free partial R-transform","year":2016,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Saskatchewan; Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada; Queen's University","keywords":"Mathematics; Infinitesimal; Convolution (computer science); Free probability; Cumulant; Mathematical proof; Independent and identically distributed random variables; Point (geometry); Pure mathematics; Mathematical analysis; Random variable; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004699275,0.00008437635,0.0003410105,0.0002443395,0.00008106207,0.00001245795,0.0003007642,0.00003818322,0.0005727836],"category_scores_gemma":[0.0002843698,0.00003721045,0.0009086051,0.001073404,0.00006205578,0.0001107971,0.00002592488,0.00008515986,0.000006134058],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004502257,"about_ca_system_score_gemma":0.000083472,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009217041,"about_ca_topic_score_gemma":0.00004284901,"domain_scores_codex":[0.9986035,0.00003989599,0.0006137128,0.00008469768,0.000553437,0.000104799],"domain_scores_gemma":[0.9981483,0.0004867963,0.0006502585,0.0003213458,0.0003329923,0.00006030962],"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":[0.00125585,0.001934328,0.04572514,0.0002148455,0.02909227,0.00001634936,0.0003953619,0.005201076,0.03749751,0.8189285,0.04832125,0.01141749],"study_design_scores_gemma":[0.004335179,0.0001771081,0.07508331,0.0001055778,0.01578631,0.00007797308,0.0001472541,0.001227172,0.01220215,0.8817153,0.008875662,0.00026702],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6679761,0.0003323043,0.2999898,0.0212399,0.0004017299,0.0002276879,0.00006874654,0.0000198261,0.009743944],"genre_scores_gemma":[0.9982104,0.00003907472,0.0005499013,0.00003248554,0.0002504185,0.000002561908,3.818718e-7,0.000005936314,0.0009088105],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3302343,"threshold_uncertainty_score":0.6271579,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02715739745706488,"score_gpt":0.271545502385415,"score_spread":0.2443881049283501,"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."}}