SGUFT G-closure V19 (WREG1): Adjudicable Window-Function Frame Structure, Regularization Limits, and Error-Bound Certification E(N,α) under a Frozen 2×4 Regularization/Cutoff Matrix — RUN_G_WREG_0001_WREG1

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Authors: 梁
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Abstract

This record archives SGUFT G-closure layer V19 (WREG1), an adjudicable (PASS/FAIL) evidence package that promotes the window-function framework and continuous-spectrum regularization into audited, quantitative outputs. WREG1 operationalizes the window-function/frame conditions and the regularization-limit discipline by producing: (i) convergence curves across truncation levels, (ii) an explicit computable upper-bound proxy for the truncation/regularization error E(N,α), and (iii) a unified adjudication policy that jointly reports unregularized divergence classification and regularized controlled-convergence results. Adjudication depends only on declared outputs plus audit/manifest under frozen thresholds (eps = 2e-3). Numerical robustness is stress-tested using a frozen 2×4 regularization/cutoff matrix (HK/LP regularizer families × four cutoff levels). Adapter-level verdicts are aggregated to a run-level verdict using the standard ≥2/3 adapters PASS rule. Explanatory notes and any external comparisons, if present, are excluded from adjudication. Files in this record (three artifacts): RUN_G_WREG_0001_WREG1_wreg1_only_pack_v1.zip RUN_G_WREG_0001_WREG1_wreg1_evidence_pack_v1.zip V19_delivery_WREG1_summary_pack_v1.zip

Fields of Study & Subjects

Mathematical Analysis and Transform Methods Numerical methods in inverse problems Spectral Theory in Mathematical Physics

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
17 January 2026
Document type
Dataset