{"id":"W7078387050","doi":"10.48550/arxiv.2508.19249","title":"Physics-Informed Regression: Parameter Estimation in Parameter-Linear Nonlinear Dynamic Models","year":2025,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geochemistry and Geologic Mapping","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Compute Canada","funders":"","keywords":"Estimation theory; Ode; Ordinary differential equation; Nonlinear system; Ordinary least squares; Least-squares function approximation; Series (stratigraphy); Time series; Linear model","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":[0.001924476,0.001289233,0.0008865501,0.0007612961,0.0002869753,0.0007521943,0.001592705,0.001248795,0.0017714],"category_scores_gemma":[0.006672701,0.0006981908,0.001127163,0.0008073866,0.0006656941,0.001460712,0.001657249,0.001835706,0.0006992216],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004248127,"about_ca_system_score_gemma":0.0009855489,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003991649,"about_ca_topic_score_gemma":0.002832048,"domain_scores_codex":[0.9992798,0.0003110781,0.00004112134,0.0001666353,0.0001619624,0.00003943844],"domain_scores_gemma":[0.9981216,0.001242808,0.000227742,0.0001931791,0.0001860782,0.00002865224],"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":[0.00004444164,0.00004565801,0.001033098,0.0001141553,0.0001135702,0.00008779587,0.00007762379,0.8924891,0.004046737,0.01239395,0.0007525003,0.08880126],"study_design_scores_gemma":[0.000002280227,0.0000103543,0.00008733702,0.00000446638,0.000004727982,0.00001440346,0.000003619266,0.9961436,0.0005843508,0.0026401,0.0004979915,0.000006829442],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002664707,0.0000731655,0.9966,0.0000503313,0.00001262927,0.00001080653,0.00002331178,0.000254021,0.0003110535],"genre_scores_gemma":[0.2990126,0.0005102176,0.6943545,0.0002819063,0.0001177933,0.0002500058,0.0005347734,0.0004341014,0.004504083],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003991649,"threshold_uncertainty_score":0.01017767,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06773191407428966,"score_gpt":0.2264921944542394,"score_spread":0.1587602803799497,"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."}}