{"id":"W3122774847","doi":"10.1920/wp.cem.2008.0708","title":"Computationally efficient recursions for top-order invariant polynomials with applications","year":2008,"lang":"en","type":"preprint","venue":"","topic":"Financial Risk and Volatility Modeling","field":"Economics, Econometrics and Finance","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Invariant (physics); Computer science; Order (exchange); Mathematics; Algebra over a field; Algorithm; Applied mathematics; Pure mathematics; Mathematical physics","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003873402,0.0002684922,0.0006002482,0.0002592675,0.000313562,0.00008219568,0.0003245628,0.0002835027,0.00007600249],"category_scores_gemma":[0.00009840093,0.0002806718,0.000179524,0.0002117174,0.00007287415,0.00004249443,0.0001913668,0.0002959585,0.000123027],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001377776,"about_ca_system_score_gemma":0.0002763194,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005220103,"about_ca_topic_score_gemma":0.00006681502,"domain_scores_codex":[0.9979492,0.000009954063,0.00085623,0.0008190188,0.00005685093,0.0003087457],"domain_scores_gemma":[0.9984784,0.000161071,0.0004892561,0.0005357461,0.0002349136,0.0001006247],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00006678666,0.0003228911,0.00169712,0.0001313926,0.00009610529,8.16316e-7,0.0006168935,0.3884456,0.000002266466,0.6049438,0.002322416,0.001353912],"study_design_scores_gemma":[0.001131527,0.0001120327,0.004995265,0.0001029128,0.00003422621,0.000006267939,0.00006434416,0.7786472,0.00002456315,0.1340494,0.07986726,0.0009650665],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01953741,0.0008535873,0.9624898,0.001160916,0.0002384136,0.001933506,0.00111995,0.00008498164,0.01258138],"genre_scores_gemma":[0.669045,0.0005374071,0.3254033,0.0005303423,0.0004728939,0.001722289,0.0008509038,0.00008099315,0.001356825],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6495076,"threshold_uncertainty_score":0.9999645,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0479005870939764,"score_gpt":0.2543574732028274,"score_spread":0.206456886108851,"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."}}