3 papers
math.FA2026
Nearly optimal Kolmogorov widths under holomorphic mappings
Yuwen Li, Guozhi Zhang
This paper establishes essentially optimal asymptotic bounds for Kolmogorov widths under holomorphic mappings between complex Banach spaces. Given a compact parameter set whose Kol…
cs.LG2026
Higher Order Approximation Rates for ReLU CNNs in Korobov Spaces
Yuwen Li, Guozhi Zhang
This paper investigates the approximation error for higher order Korobov functions using deep convolutional neural networks (CNNs) with ReLU activation. For target functions…
cs.LG2026
Some Super-approximation Rates of ReLU Neural Networks for Korobov Functions
Yuwen Li, Guozhi Zhang
This paper examines the and norm approximation errors of ReLU neural networks for Korobov functions. In terms of network width and depth, we derive nearly optimal sup…