most citedSample-based almost-sure quasi-optimal approximation in reproducing kernel Hilbert spaces

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math.NA2026

Multilevel Sparse Tensor Approximation for High-Dimensional Parametric PDEs

Martin Eigel, Philipp Trunschke, Dana Wrischnig

In this paper the efficiency of multilevel sparse tensor approximation methods for high-dimensional affine parametric diffusion equations is investigated. Methodologically, the rec…

math.NA2025

Optimal sampling for least squares approximation with general dictionaries

Philipp Trunschke, Anthony Nouy

We consider the problem of approximating an unknown function from point evaluations. This problem is a crucial subproblem in many modern (nonlinear) approximation schemes. When obt…

math.NA2025★ 1 cited

Sample-based almost-sure quasi-optimal approximation in reproducing kernel Hilbert spaces

Nando Hegemann, Anthony Nouy, Philipp Trunschke

This paper addresses the problem of approximating an unknown function from point evaluations. When obtaining these point evaluations is costly, minimising the required sample size…