{"id":"W2033525904","doi":"10.1239/aap/1282924067","title":"A general comparison theorem for backward stochastic differential equations","year":2010,"lang":"en","type":"article","venue":"Advances in Applied Probability","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":32,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"Australian Research Council","keywords":"Mathematics; Comparison theorem; Stochastic differential equation; Picard–Lindelöf theorem; Scalar (mathematics); Brownian motion; Stochastic partial differential equation; Nonlinear system; Kelvin–Stokes theorem; Arzelà–Ascoli theorem; Differential equation; Stochastic calculus; Applied mathematics; Mathematical analysis; Danskin's theorem; Fixed-point theorem","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":[0.0003396089,0.0001767598,0.0004161444,0.00009103357,0.0001544966,0.00003903,0.0003175985,0.0001228941,0.00009317014],"category_scores_gemma":[0.0003276582,0.0001952417,0.00008635712,0.0002776342,0.0001859864,0.0001238038,0.00006081005,0.0002702332,0.00007492239],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005924271,"about_ca_system_score_gemma":0.00003157191,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002394941,"about_ca_topic_score_gemma":0.0003112535,"domain_scores_codex":[0.9983228,0.000002637578,0.0007052572,0.0005858917,0.00004246763,0.0003409629],"domain_scores_gemma":[0.9989182,0.0002704777,0.0002745708,0.000426143,0.00004052498,0.00007005759],"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":[0.00004968842,0.0002345652,0.00073965,0.00004109416,0.00000468869,2.32232e-8,0.0001371313,0.001246962,0.0001591674,0.9888033,0.000007734152,0.008575947],"study_design_scores_gemma":[0.0006028155,0.00003191747,0.002353123,0.000003523008,0.000005103042,2.79724e-7,0.00001595255,0.02604538,0.00007047447,0.9653172,0.005324528,0.0002297182],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02548083,0.0003806247,0.9667618,0.0001323859,0.0004454753,0.001280197,0.000207381,0.00005427633,0.00525703],"genre_scores_gemma":[0.9531608,0.000006800869,0.04459181,0.00004618766,0.0002013465,0.001894668,0.00005419215,0.00001944459,0.0000247731],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.92768,"threshold_uncertainty_score":0.7961724,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02769345089973115,"score_gpt":0.2720286613107836,"score_spread":0.2443352104110525,"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."}}