R. Schneider

most citedApproximation by tree tensor networks in high dimensions: Sobolev and compositional functions

5 citations · 6 across the 4 of their papers we have counts for

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math.NA2022★ 1 cited

Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness

Michael Griebel, Helmut Harbrecht, Reinhold Schneider

Let $Ω_{i} \subset R^{n_{i}}$ , $i = 1, \dots, m$ , be given domains. In this article, we study the low-rank approximation with respect to $L^{2} (Ω_{1} \times \dots \times Ω_{m})$ of functions…

math.NA2021★ 5 cited

Approximation by tree tensor networks in high dimensions: Sobolev and compositional functions

Markus Bachmayr, Anthony Nouy, Reinhold Schneider

This paper is concerned with convergence estimates for fully discrete tree tensor network approximations of high-dimensional functions from several model classes. For functions hav…