{"id":"W2896800435","doi":"10.48550/arxiv.1801.09341","title":"Two fixed point theorems in complete random normed modules and their applications to backward stochastic equations","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Fixed Point Theorems Analysis","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University","funders":"","keywords":"Mathematics; Lipschitz continuity; Fixed-point theorem; Uniqueness; Fixed point; Contraction principle; Contraction (grammar); Contraction mapping; Banach fixed-point theorem; Picard–Lindelöf theorem; Type (biology); Discrete mathematics; Applied mathematics; Pure mathematics; Mathematical analysis","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":[0.0008183697,0.0005025271,0.0008580446,0.0007492269,0.0002209155,0.00008449217,0.0007835684,0.00023616,0.000181278],"category_scores_gemma":[0.0004453052,0.0004966977,0.0002925774,0.0008161248,0.0003701819,0.000121029,0.001119555,0.000517488,0.0001622901],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002884173,"about_ca_system_score_gemma":0.0000967325,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003204861,"about_ca_topic_score_gemma":0.001696392,"domain_scores_codex":[0.9975802,0.0003161312,0.0004899191,0.001063264,0.000109115,0.0004413525],"domain_scores_gemma":[0.9959565,0.001725828,0.0003571131,0.00143643,0.0002723084,0.0002517874],"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":[0.0002339912,0.000210155,0.0001430537,0.0001345335,0.0003893915,0.00001173011,0.00174227,0.08925272,0.0002326554,0.9071736,0.0002210425,0.0002548935],"study_design_scores_gemma":[0.001556334,0.00003211847,0.0001052688,0.0001613559,0.0002582507,0.000002236462,0.0006677659,0.2237944,0.00003867882,0.7728539,0.00005772208,0.000471962],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2354009,0.00002507355,0.7612487,0.0001531234,0.00007266127,0.001337002,0.0001983871,0.0001239944,0.001440151],"genre_scores_gemma":[0.994349,0.00001964406,0.00486285,0.00006919921,0.0001127725,0.00003860142,0.00009268524,0.000062321,0.0003929471],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7589481,"threshold_uncertainty_score":0.9997485,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09881540069555136,"score_gpt":0.2373782225898803,"score_spread":0.1385628218943289,"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."}}