approximation theory 1dimension-independent analysis 1fractional pdes 1neural network approximation 1spectral barron spaces 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.AP2026
Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations
Jae-Hwan Choi, Hyojae Lim, Jinsol Seo +2
The paper develops a dimension‑efficient neural network approximation theory for solutions of fractional parabolic PDEs, introducing anisotropic spectral Barron spaces and proving…
math.CA2025
Characterizations of weighted Besov and Triebel-Lizorkin spaces with variable smoothness
Jae-Hwan Choi, Jin Bong Lee, Jinsol Seo +1
In this paper, we study different types of weighted Besov and Triebel-Lizorkin spaces with variable smoothness. The function spaces can be defined by means of the Littlewood-Paley…