math.NA · 2026-06-08 · No. 17

Numerical Analysis, 2026-06-08.

1 new papers in math.NA. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    No-Harm Physics-Informed Inverse Learning with Residual-Calibrated Uncertainty

    Ronald Katende

    math.NA · cs.LG · math.OC

    Physics-informed learning is increasingly used for partial differential equation (PDE)-governed inverse problems, but its reliability remains difficult to certify. This paper develops a no-harm certification-and-selection framework for physics-informed inverse learning. A learned reconstruction is accepted only when its residual-calibrated radius is no worse than the baseline radius, namely when $$R_{\mathrm{learn}}\le...

    arxiv.org/abs/2606.07153 · PDF

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