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08/23/2022
Convergence bounds for nonlinear least squares for tensor recovery
We consider the problem of approximating a function in general nonlinear...
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12/02/2021
Adaptive non-intrusive reconstruction of solutions to high-dimensional parametric PDEs
Numerical methods for random parametric PDEs can greatly benefit from ad...
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08/11/2021
Convergence bounds for nonlinear least squares and applications to tensor recovery
We consider the problem of approximating a function in general nonlinear...
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05/19/2021
Efficient approximation of high-dimensional exponentials by tensornetworks
In this work a general approach to compute a compressed representation o...
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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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03/02/2021
Pricing high-dimensional Bermudan options with hierarchical tensor formats
An efficient compression technique based on hierarchical tensors for pop...
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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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01/17/2019