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01/28/2021
Approximation with Tensor Networks. Part III: Multivariate Approximation
We study the approximation of multivariate functions with tensor network...
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12/23/2020
Ranks of Tensor Networks for Eigenspace Projections and the Curse of Dimensionality
The hierarchical (multi-linear) rank of an order-d tensor is key in dete...
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08/28/2020
H^1-Stability of the L^2-Projection onto Finite Element Spaces on Adaptively Refined Quadrilateral Meshes
The L^2-orthogonal projection Π_h:L^2(Ω)→𝕍_h onto a finite element (FE) ...
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07/30/2020
Approximation of Smoothness Classes by Deep ReLU Networks
We consider approximation rates of sparsely connected deep rectified lin...
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06/30/2020
Approximation with Tensor Networks. Part II: Approximation Rates for Smoothness Classes
We study the approximation by tensor networks (TNs) of functions from cl...
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06/30/2020
Approximation with Tensor Networks. Part I: Approximation Spaces
We study the approximation of functions by tensor networks (TNs). We sho...
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12/24/2019