{"id":"W7117752174","doi":"10.5206/mase/22684","title":"Regularizing an inverse problem for the nonlinear ultraparabolic equation","year":2025,"lang":"en","type":"article","venue":"Mathematics in Applied Sciences and Engineering","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Inverse problem; A priori and a posteriori; Nonlinear system; Convergence (economics); Rate of convergence; Population; Type (biology); Inverse scattering problem","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002283254,0.0001408357,0.0002163168,0.0001490525,0.0001973259,0.0001093581,0.0002952098,0.00006504634,0.000003251494],"category_scores_gemma":[0.000440811,0.0001011194,0.00003018563,0.0005643206,0.0001338441,0.00008451939,0.00006534742,0.0001451787,8.084853e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003236373,"about_ca_system_score_gemma":0.00002542775,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005438765,"about_ca_topic_score_gemma":0.000007699065,"domain_scores_codex":[0.9989567,0.00001369237,0.0003458941,0.0002428486,0.0001685263,0.0002723424],"domain_scores_gemma":[0.997996,0.001646849,0.00007838123,0.0002219965,0.00001966624,0.00003711228],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000002976312,0.00005091076,0.00001760646,0.0004871458,0.00001187137,1.404649e-7,0.001485539,0.01010636,0.006709122,0.9755285,0.0000370918,0.005562673],"study_design_scores_gemma":[0.0001530779,0.00001367198,0.00000586642,0.00008362524,0.00001500589,9.289541e-7,0.0006761428,0.5807666,0.001265703,0.4164644,0.0004657395,0.00008917572],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01759896,0.00006710015,0.977304,0.0002949373,0.000141174,0.0008783778,0.000001770875,0.00009548567,0.003618215],"genre_scores_gemma":[0.04201989,0.00002070704,0.9575905,0.00005711948,0.00003346682,0.0002165766,5.180577e-7,0.00001406032,0.00004722178],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.5706603,"threshold_uncertainty_score":0.412353,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09415859620927533,"score_gpt":0.3467738503377862,"score_spread":0.2526152541285109,"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."}}