4 papers
Diffusion-Based Refinement for Kilometer-Scale Probabilistic Precipitation Nowcasting
Dohyun Park, Changhoon Song, Tengyuan Chang +2
Localized extreme precipitation is a major trigger of urban flash floods and landslides, yet producing nowcasts that combine fine spatial detail with probabilistic uncertainty rema…
Fractional Parabolic Partial Differential Equations in Anisotropic Spectral Barron Spaces: Regularity and Neural Approximation
Jae-Hwan Choi, Hyojae Lim, Jinsol Seo +2
We study fractional parabolic initial-value problems with lower-order drift and potential terms in anisotropic spectral Barron spaces, defined by weighted space--time Fourier …
Extreme Weather Nowcasting via Local Precipitation Pattern Prediction
Changhoon Song, Teng Yuan Chang, Youngjoon Hong
Accurate forecasting of extreme weather events such as heavy rainfall or storms is critical for risk management and disaster mitigation. Although high-resolution radar observations…
Sobolev Approximation of Deep ReLU Networks in Log-Barron Space
Changhoon Song, Seungchan Ko, Youngjoon Hong
Universal approximation theorems show that neural networks can approximate any continuous function; however, the number of parameters may grow exponentially with the ambient dimens…