{"id":"W2044643142","doi":"10.1016/j.jmva.2012.07.008","title":"Determinants, permanents and some applications to statistical shape theory","year":2012,"lang":"en","type":"article","venue":"Journal of Multivariate Analysis","topic":"Morphological variations and asymmetry","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"Consejo Nacional de Ciencia y Tecnología","keywords":"Mathematics; Isotropy; Matrix (chemical analysis); Random variate; Random matrix; Statistical theory; Positive-definite matrix; Pure mathematics; Mathematical analysis; Applied mathematics; Statistical physics; Statistics; Random variable; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":false,"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":[0.001173732,0.000115028,0.0004087553,0.0003318098,0.0001011209,0.00003603277,0.0001469407,0.00006623405,0.0004439848],"category_scores_gemma":[0.0005295178,0.0000797578,0.0001524047,0.0004312477,0.00002868594,0.0002002141,0.00006875361,0.0001504533,0.00002330487],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000308025,"about_ca_system_score_gemma":0.00001274807,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007924212,"about_ca_topic_score_gemma":0.000001371958,"domain_scores_codex":[0.9987363,0.000167693,0.0005266804,0.0001138175,0.0002376995,0.0002177838],"domain_scores_gemma":[0.9982627,0.0008361917,0.0003215306,0.0001742582,0.0001186802,0.000286615],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.0001720057,0.002213018,0.1581547,0.00008462038,0.003724824,0.00004576398,0.001404818,0.00006984978,0.004292775,0.7716811,0.001561305,0.05659531],"study_design_scores_gemma":[0.001238565,0.0002105745,0.8894706,0.0000406451,0.008250243,0.0001124167,0.0005620893,0.007251826,0.0003887112,0.08458706,0.007347361,0.0005399162],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.451986,0.0001577131,0.5473233,0.000144028,0.00005163481,0.0001328894,0.00003786487,0.00001039386,0.0001562077],"genre_scores_gemma":[0.8983704,0.00002381182,0.1011057,0.0001555755,0.0001937333,0.000008279555,0.000002805115,0.000009144954,0.0001304861],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7313159,"threshold_uncertainty_score":0.4861322,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04164556122401843,"score_gpt":0.3571495974517861,"score_spread":0.3155040362277677,"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."}}