3 papers
math-ph2026
Exponentially slow Mixing arising from Entropic Repulsion in -SOS model
Seokun Choi
We investigate the Glauber dynamics of the generalized (2+1)-dimensional -SOS model, , under a hard floor constraint. This constraint induces entropic repulsion: the…
cs.LG2026
Sparsely-Supervised Data Assimilation via Physics-Informed Schrödinger Bridge
Dohyun Bu, Chanho Kim, Seokun Choi +1
Data assimilation (DA) for systems governed by partial differential equations (PDE) aims to reconstruct full spatiotemporal fields from sparse high-fidelity (HF) observations while…
stat.ML2025
How DNNs break the Curse of Dimensionality: Compositionality and Symmetry Learning
Arthur Jacot, Seok Hoan Choi, Yuxiao Wen
We show that deep neural networks (DNNs) can efficiently learn any composition of functions with bounded -norm, which allows DNNs to break the curse of dimensionality in way…