{"id":"W7117274616","doi":"10.5281/zenodo.18048328","title":"A Unified Framework for Advanced Integration: Parametric Differentiation, Diffeomorphic Substitutions, and Asymptotic Schemes","year":2025,"lang":"en","type":"article","venue":"Zenodo (CERN European Organization for Nuclear Research)","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Diffeomorphism; Laplace transform; Parametric statistics; Convexity; Algebra over a field; Factorization; Boundary (topology); Remainder; Mellin transform","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"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":[0.005258671,0.001491026,0.001238808,0.002712694,0.001480978,0.003912298,0.002403693,0.001811152,0.006097175],"category_scores_gemma":[0.008206091,0.0007523341,0.001723455,0.001631662,0.006019375,0.007424046,0.005075318,0.005760607,0.00183866],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002601943,"about_ca_system_score_gemma":0.001792416,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001838305,"about_ca_topic_score_gemma":0.001805074,"domain_scores_codex":[0.997985,0.0008421698,0.000126668,0.0002164569,0.0007042594,0.000125312],"domain_scores_gemma":[0.9977875,0.0007525171,0.0001964041,0.0005298281,0.0005447092,0.0001891547],"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":[0.000002187478,0.000004104596,0.00003157164,0.00001116782,0.000001787892,0.00001470532,0.00004793419,0.00210344,0.0002190528,0.9943884,0.0002957786,0.002879827],"study_design_scores_gemma":[0.000005688553,0.00001868096,0.00005343649,0.00003380424,0.000004718252,0.00004238934,0.00003832783,0.05499919,0.000343684,0.9345577,0.009889179,0.00001324702],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.003159286,0.0008417224,0.9813214,0.0006777112,0.0001625755,0.00002977459,0.0000341625,0.00007137814,0.01370203],"genre_scores_gemma":[0.1865712,0.003089583,0.7871453,0.0005517895,0.0009203067,0.0003301387,0.0001483377,0.0004974365,0.02074587],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.006097175,"threshold_uncertainty_score":0.02781081,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0736633381020579,"score_gpt":0.3412784927194665,"score_spread":0.2676151546174086,"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."}}