{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006620632,0.000104599,0.0003683754,0.00008245653,0.0001393427,0.00001864115,0.0001799014,0.00005745633,0.00002312203],"category_scores_gemma":[0.001628566,0.00005481849,0.0001084713,0.0009311903,0.0002150815,0.00007845333,0.0001001516,0.0001771092,5.109355e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002556593,"about_ca_system_score_gemma":0.00004346727,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.954599e-7,"about_ca_topic_score_gemma":6.204558e-8,"domain_scores_codex":[0.99847,0.0001139216,0.0008185693,0.00008921931,0.0003806827,0.0001276213],"domain_scores_gemma":[0.9957667,0.002847363,0.0008952044,0.0002021872,0.0002406505,0.00004790408],"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":[0.0005220583,0.0004238808,0.00007758226,0.0005241779,0.0001701631,0.000001097283,0.001115875,0.06195992,0.001924906,0.9281875,0.0002130166,0.004879798],"study_design_scores_gemma":[0.0006339431,0.000188211,0.0002010684,0.000122628,0.0001908373,0.000006734555,0.0004938173,0.07878496,0.005001628,0.9142045,0.00005931223,0.0001123243],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05448648,0.00005795915,0.9435858,0.0003220545,0.00006859779,0.000451114,0.00001037079,0.00002063799,0.0009969695],"genre_scores_gemma":[0.932561,0.00009818406,0.06725212,0.000009488961,0.0000404515,0.000008300774,0.000001964628,0.00001493884,0.00001358037],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8780745,"threshold_uncertainty_score":0.2235433,"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."}}