Author

Changhoon Song

2 papers indexed here

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Jul 2026

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations

We establish a dimension-efficient neural network approximation theory for solutions to fractional parabolic equations with lower-order drift and potential terms. By introducing anisotropic spectral Barron spaces, which measure temporal and spatial regularity separately in frequency space, we first develop a dimension-...

Jae-Hwan Choi, Hyojae Lim, Jinsol Seo et al. · arXiv.org · 2 citations

#machine learning Preprint Aug 2026

Diffusion-Based Refinement for Kilometer-Scale Probabilistic Precipitation Nowcasting

Localized extreme precipitation is a major trigger of urban flash floods and landslides, yet producing nowcasts that combine fine spatial detail with probabilistic uncertainty remains challenging. Here we introduce exPreCast-ENS, a conditional residual diffusion framework that transforms the deterministic 4 km radar no...

Dohyun Park, Changhoon Song, Teng-Yuan Chang et al. · 0 citations