{"id":"W2563055839","doi":"10.3934/mbe.2017038","title":"Moments of von mises and fisher distributions and applications","year":2017,"lang":"en","type":"article","venue":"Mathematical Biosciences & Engineering","topic":"Morphological variations and asymmetry","field":"Mathematics","cited_by":53,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; von Mises yield criterion; von Mises distribution; Moment (physics); Population; Applied mathematics; Spherical harmonics; Divergence (linguistics); Distribution (mathematics); Computation; Unit sphere; Covariance; Mathematical analysis; Trigonometric functions; Covariance matrix; Statistics; Geometry; Algorithm; Physics; Classical 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00150577,0.0008630505,0.0007930963,0.002974062,0.000547974,0.001758874,0.0008000893,0.00109069,0.003619011],"category_scores_gemma":[0.01219678,0.0004132669,0.001052239,0.002134403,0.001936555,0.002504944,0.00176539,0.001961981,0.0009173619],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001460095,"about_ca_system_score_gemma":0.0009498698,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002575434,"about_ca_topic_score_gemma":0.001320472,"domain_scores_codex":[0.9992211,0.0002247891,0.00005638436,0.0001294457,0.0002774997,0.00009083211],"domain_scores_gemma":[0.9963786,0.002272525,0.0003273745,0.0002455752,0.000612155,0.0001638129],"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":[0.00001654311,0.00001297601,0.0005153109,0.00008261234,0.0000173939,0.0001147926,0.0001036092,0.04648535,0.0008809042,0.9189596,0.001916294,0.03089468],"study_design_scores_gemma":[0.000004119706,0.00001269836,0.0004614719,0.0000415901,0.00000611992,0.0002282487,0.00004023684,0.1393827,0.0004123583,0.8521163,0.007267152,0.00002693006],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01315972,0.009798421,0.9543236,0.00115633,0.0003287043,0.00002826053,0.0002367602,0.0002644457,0.02070373],"genre_scores_gemma":[0.7040343,0.02462771,0.2489079,0.0006949733,0.00235857,0.0001918317,0.000541771,0.0003802352,0.01826274],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003619011,"threshold_uncertainty_score":0.01210684,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03389128140561921,"score_gpt":0.2902445842603817,"score_spread":0.2563533028547625,"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."}}