
Deep ReLU neural network approximation of parametric and stochastic elliptic PDEs with lognormal inputs
We investigate nonadaptive methods of deep ReLU neural network approxim...
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Collocation approximation by deep neural ReLU networks for parametric elliptic PDEs with lognormal inputs
We obtained convergence rates of the collocation approximation by deep R...
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Computation complexity of deep ReLU neural networks in highdimensional approximation
The purpose of the present paper is to study the computation complexity ...
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Highdimensional nonlinear approximation by parametric manifolds in HölderNikol'skii spaces of mixed smoothness
We study highdimensional nonlinear approximation of functions in Hölder...
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Approximation by linear combinations of translates of a single function
We study approximation by arbitrary linear combinations of n translates ...
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Sparsegrid sampling recovery and deep ReLU neural networks in highdimensional approximation
We investigate approximations of functions from the HölderZygmund space...
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Dinh Dũng
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