{"id":"W2089331999","doi":"10.1137/130933691","title":"Numerical Analysis of $\\mathcal{V}\\mathcal{U}$-Decomposition, $\\mathcal{U}$-Gradient, and $\\mathcal{U}$-Hessian Approximations","year":2014,"lang":"en","type":"article","venue":"SIAM Journal on Optimization","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Hessian matrix; Mathematics; Combinatorics; Function (biology); Approximations of π; Mathematical analysis; Applied mathematics","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":[0.002424846,0.000806949,0.0007831245,0.0007331787,0.0004631487,0.001062366,0.0009318548,0.000972638,0.003272542],"category_scores_gemma":[0.007957853,0.0004028823,0.000694845,0.0004847673,0.001501762,0.001599118,0.001459637,0.001963319,0.0008338105],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001304134,"about_ca_system_score_gemma":0.001458306,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003880746,"about_ca_topic_score_gemma":0.004159403,"domain_scores_codex":[0.9992632,0.0002722954,0.00002595862,0.0000725956,0.0003025463,0.00006333659],"domain_scores_gemma":[0.9974875,0.001553377,0.0001910902,0.0002583447,0.0004020265,0.0001076549],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00009157015,0.00004577108,0.0009394022,0.0001422358,0.00002991456,0.00005287306,0.0001175001,0.7674271,0.003303288,0.1959705,0.002104953,0.02977496],"study_design_scores_gemma":[0.000002035923,0.000005541686,0.00004594331,0.000006989012,0.000001447284,0.000005110267,0.000003894607,0.9899577,0.0005180528,0.00898258,0.0004683222,0.000002284856],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.00994729,0.0002181167,0.9846372,0.0001785009,0.00003126531,0.00002021139,0.00003000282,0.0002070284,0.00473035],"genre_scores_gemma":[0.3819895,0.0005126511,0.6078106,0.0001962961,0.0000562922,0.0002115271,0.0002379427,0.0007081727,0.008276958],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003880746,"threshold_uncertainty_score":0.012824,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02905703108396227,"score_gpt":0.3622389667632777,"score_spread":0.3331819356793154,"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."}}