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03/08/2022
Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness
Let Ω_i⊂ℝ^n_i, i=1,…,m, be given domains. In this article, we study the ...
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12/02/2021
Approximation by tree tensor networks in high dimensions: Sobolev and compositional functions
This paper is concerned with convergence estimates for fully discrete tr...
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04/29/2021
A block-sparse Tensor Train Format for sample-efficient high-dimensional Polynomial Regression
Low-rank tensors are an established framework for high-dimensional least...
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04/13/2021
Approximating optimal feedback controllers of finite horizon control problems using hierarchical tensor formats
Controlling systems of ordinary differential equations (ODEs) is ubiquit...
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04/25/2020
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks
We perform a comprehensive numerical study of the effect of approximatio...
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01/02/2020
Convergence bounds for empirical nonlinear least-squares
We consider best approximation problems in a (nonlinear) subspace M of a...
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03/31/2019
