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cs.LG2026
Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations
Christian Jimenez-Beltran, Aretha L. Teckentrup, Antonio Vergari +1
Inverse problems for differential equations arise throughout science and engineering, where one seeks to infer unknown model parameters from noisy or incomplete observations. Tradi…
math.NA2026
Asymptotic and pre-asymptotic convergence of sparse grids for anisotropic kernel interpolation
Elliot J. Addy, Aretha L. Teckentrup
Sparse grids are popular tools for high-dimensional function approximation. In this work, we study the use of sparse grids for interpolation using separable Matérn kernels $Φ_{\bol…