Dũng Dinh

activity

20102026

most citedHyperbolic Cross Approximation

26 citations · 46 across the 28 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.NA2021★ 1 cited

Deep ReLU neural network approximation in Bochner spaces and applications to parametric PDEs

Dinh Dũng, Van Kien Nguyen, Duong Thanh Pham

We investigate non-adaptive methods of deep ReLU neural network approximation in Bochner spaces $L_{2} (U^{\infty}, X, μ)$ of functions on $U^{\infty}$ taking values i…

math.NA2021★ 1 cited

Collocation approximation by deep neural ReLU networks for parametric elliptic PDEs with lognormal inputs

Dinh Dũng

We obtained convergence rates of the collocation approximation by deep ReLU neural networks of solutions to elliptic PDEs with lognormal inputs, parametrized by $y$ fr…

math.NA2021★ 1 cited

High-dimensional nonlinear approximation by parametric manifolds in Hölder-Nikol'skii spaces of mixed smoothness

Dinh Dũng, Van Kien Nguyen

We study high-dimensional nonlinear approximation of functions in Hölder-Nikol'skii spaces $H_{\infty}^{α} (I^{d})$ on the unit cube $I^{d} := [0, 1]^{d}$ having mixed smoothne…