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math.NA2021
Computation complexity of deep ReLU neural networks in high-dimensional approximation
Dinh Dũng, Van Kien Nguyen, Mai Xuan Thao
The purpose of the present paper is to study the computation complexity of deep ReLU neural networks to approximate functions in Hölder-Nikol'skii spaces of mixed smoothness $H_\in…
math.NA2020
Approximation by linear combinations of translates of a single function
Dinh Dũng, Vu Nhat Huy
We study approximation by arbitrary linear combinations of translates of a single function of periodic functions. We construct some linear methods of this approximation for uni…