{"id":"W4318332803","doi":"10.23952/jano.5.2023.1.07","title":"The stability of the parametric Cauchy problem of initial-value ordinary differential equations revisited","year":2023,"lang":"en","type":"article","venue":"Journal of Applied and Numerical Optimization","topic":"advanced mathematical theories","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Ordinary differential equation; Mathematics; Initial value problem; Cauchy problem; Stability (learning theory); Parametric statistics; Cauchy boundary condition; Applied mathematics; Mathematical analysis; Value (mathematics); Cauchy distribution; Differential equation; Computer science; Statistics; Boundary value 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001750035,0.0005949416,0.0005698277,0.0007160485,0.0006206095,0.001515284,0.0008431074,0.001101993,0.001042675],"category_scores_gemma":[0.00582683,0.0002560958,0.0006368883,0.0003523029,0.003151754,0.001556531,0.001961154,0.001177112,0.000125106],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007675805,"about_ca_system_score_gemma":0.0006953143,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001406135,"about_ca_topic_score_gemma":0.000379166,"domain_scores_codex":[0.9994135,0.0002381618,0.00002839096,0.00008677788,0.0001812989,0.00005192449],"domain_scores_gemma":[0.9986535,0.0007963907,0.0001643332,0.00007751123,0.0002434666,0.00006477151],"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":[0.0001020458,0.00003317568,0.00180269,0.0002151186,0.00006011408,0.0004780079,0.000697687,0.306807,0.0146679,0.659574,0.0006145809,0.01494769],"study_design_scores_gemma":[0.000008642049,0.00005342959,0.0003926349,0.00003407097,0.000007650723,0.0001410352,0.0001063738,0.8786322,0.002249271,0.1172963,0.001058486,0.00001976753],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1943194,0.001918401,0.777785,0.002361897,0.0001426051,0.00008537564,0.00007185901,0.00009775678,0.02321775],"genre_scores_gemma":[0.9762489,0.0005528669,0.01840115,0.00009879647,0.00009212612,0.00008060157,0.00003681891,0.00003856625,0.004450059],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.001750035,"threshold_uncertainty_score":0.009255171,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03613374299971951,"score_gpt":0.326921759785901,"score_spread":0.2907880167861815,"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."}}