{"id":"W1966364383","doi":"10.1016/j.cam.2008.03.020","title":"Inverse problems for random differential equations using the collage method for random contraction mappings","year":2008,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo; University of Guelph","funders":"","keywords":"Mathematics; Contraction (grammar); Random element; Mathematical analysis; Random compact set; Inverse problem; Metric space; Fixed point; Inverse; Differential equation; Applied mathematics; Random variable; Statistics; Geometry","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":[0.003335218,0.001756855,0.002384526,0.002087402,0.001005459,0.002629923,0.00162057,0.003393247,0.00294153],"category_scores_gemma":[0.01140149,0.0009418929,0.002419475,0.0009837952,0.00417049,0.003930985,0.005055391,0.003424926,0.0003847937],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001130762,"about_ca_system_score_gemma":0.001678694,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003310007,"about_ca_topic_score_gemma":0.002570945,"domain_scores_codex":[0.998832,0.000590724,0.00005967529,0.0001457451,0.0002771581,0.00009462577],"domain_scores_gemma":[0.9950537,0.003576441,0.0003716139,0.0002156477,0.0004943263,0.0002883427],"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":[0.00007187704,0.00005815641,0.0004825741,0.0002194486,0.00008663761,0.0002615468,0.0002500045,0.1271586,0.002045743,0.859798,0.001257017,0.008310455],"study_design_scores_gemma":[0.00003670885,0.00003077773,0.0001223009,0.00002978157,0.00002005046,0.0001048019,0.00005263765,0.8116235,0.0003482064,0.1860887,0.001505137,0.00003749611],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02661835,0.00161425,0.9616069,0.0009907014,0.0003277523,0.00008410367,0.00005174583,0.00006057523,0.008645684],"genre_scores_gemma":[0.5889321,0.004139051,0.358596,0.00073584,0.0009046042,0.0007047587,0.0003332784,0.0004161937,0.04523824],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003393247,"threshold_uncertainty_score":0.01763856,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07596586665334215,"score_gpt":0.3293256535590978,"score_spread":0.2533597869057557,"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."}}