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06/12/2023
Efficient recovery of non-periodic multivariate functions from few scattered samples
It has been observed by several authors that well-known periodization st...
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03/30/2023
Nonlinear Approximation with Subsampled Rank-1 Lattices
In this paper we approximate high-dimensional functions f𝕋^d→ℂ by sparse...
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08/29/2022
On the reconstruction of functions from values at subsampled quadrature points
This paper is concerned with function reconstruction from samples. The s...
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04/09/2022
Stability and error guarantees for least squares approximation with noisy samples
Given n samples of a function f : D→ℂ in random points drawn with respec...
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02/25/2022
Constructive subsampling of finite frames with applications in optimal function recovery
In this paper we present new constructive methods, random and determinis...
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05/28/2021
Optimality of Cross-validation in Scattered Data Approximation
Choosing models from a hypothesis space is a frequent task in approximat...
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10/20/2020