{"id":"W2058286959","doi":"10.1155/mpe/2006/17406","title":"An efficient computational method for statistical moments of Burger′s equation with random initial conditions","year":2006,"lang":"en","type":"article","venue":"Mathematical Problems in Engineering","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"Ministry of Communications and Information, Singapore; Iran Telecommunication Research Center; University of Southern California","keywords":"Mathematics; Applied mathematics; Moment (physics); Computer science; Statistical physics; Physics; Classical mechanics","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":[0.001488772,0.000230366,0.0005520842,0.0002165637,0.00004724555,0.00002847493,0.000150555,0.0000995118,0.00008738429],"category_scores_gemma":[0.001473555,0.0001993004,0.00006694071,0.0002932425,0.00008576806,0.00009413908,0.00002866702,0.0001845824,0.000003363893],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009819603,"about_ca_system_score_gemma":0.00003571258,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001397368,"about_ca_topic_score_gemma":0.000001505868,"domain_scores_codex":[0.9978552,0.0001263549,0.0009225254,0.0002987852,0.0004396529,0.0003575118],"domain_scores_gemma":[0.9938778,0.005424567,0.0001895512,0.0002210028,0.0001985948,0.0000884628],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00002876965,0.0004494088,0.00001910999,0.0008108338,0.00002208314,0.000001327643,0.0001272352,0.628416,0.0007068904,0.3692563,0.00003285586,0.0001291328],"study_design_scores_gemma":[0.001230225,0.0000909693,0.00002054904,0.0001813898,0.00003165524,0.000004342216,0.00001831854,0.5427556,0.0005340029,0.4549921,0.000007996733,0.0001328438],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.005516192,0.00000640097,0.9926989,0.00002873118,0.00007769023,0.001162926,0.00007882962,0.0001082103,0.0003221315],"genre_scores_gemma":[0.3544917,1.119065e-7,0.6450643,0.000005724142,0.00003753579,0.0003148914,0.00004100217,0.00003841048,0.000006331815],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3489755,"threshold_uncertainty_score":0.8127235,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04778429510404731,"score_gpt":0.3660280276989176,"score_spread":0.3182437325948703,"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."}}