Random points are optimal for the approximation of Sobolev functions D Krieg, M Sonnleitner
IMA Journal of Numerical Analysis, drad014, 2023
27 2023 Random sections of -ellipsoids, optimal recovery and Gelfand numbers of diagonal operators A Hinrichs, J Prochno, M Sonnleitner
arXiv preprint arXiv:2109.14504, 2021
11 2021 Recovery of Sobolev functions restricted to iid sampling D Krieg, E Novak, M Sonnleitner
Mathematics of Computation 91 (338), 2715-2738, 2022
10 2022 Function recovery on manifolds using scattered data D Krieg, M Sonnleitner
arXiv preprint arXiv:2109.04106, 2021
10 2021 Limit theorems for random points in a simplex A Baci, Z Kabluchko, J Prochno, M Sonnleitner, C Thäle
Journal of Applied Probability 59 (3), 685-701, 2022
6 2022 Random points are optimal for the approximation of Sobolev functions. arXiv e-prints D Krieg, M Sonnleitner
arXiv preprint arXiv:2009.11275, 2020
5 2020 The power of random information for numerical approximation and integration M Sonnleitner
arXiv preprint arXiv:2209.07266, 2022
4 2022 A note on isotropic discrepancy and spectral test of lattice point sets F Pillichshammer, M Sonnleitner
Journal of Complexity 58, 101441, 2020
4 2020 On the power of iid information for linear approximation M Sonnleitner, M Ullrich
arXiv preprint arXiv:2310.12740, 2023
2 2023 Random sections of ℓp-ellipsoids, optimal recovery and Gelfand numbers of diagonal operators A Hinrichs, J Prochno, M Sonnleitner
Journal of Approximation Theory 293, 105919, 2023
2 2023 On the relation of the spectral test to isotropic discrepancy and Lq-approximation in Sobolev spaces M Sonnleitner, F Pillichshammer
Journal of Complexity 67, 101576, 2021
2 2021 Discrepancy and numerical integration on spheres M Sonnleitner
Master thesis. Universität Linz, 2019
2 2019 Entropy numbers of finite-dimensional Lorentz space embeddings J Prochno, M Sonnleitner, J Vybíral
arXiv preprint arXiv:2404.06058, 2024
2024 Random approximation of convex bodies in Hausdorff metric J Prochno, C Schütt, M Sonnleitner, EM Werner
arXiv preprint arXiv:2404.02870, 2024
2024 Kateryna Pozharska is the winner of the 2023 Joseph F. Traub Information-Based Complexity Young Researcher Award D Krieg, E Novak, M Sonnleitner, M Szölgyenyi, H Woźniakowski
Journal of Complexity 80, 101805, 2024
2024 A note on critical intersections of classical and Schatten -balls M Sonnleitner, C Thäle
arXiv preprint arXiv:2308.10635, 2023
2023 Unlocking Your Bike the Easy Way M Sonnleitner
arXiv preprint arXiv:2308.10321, 2023
2023 A probabilistic approach to Lorentz balls Z Kabluchko, J Prochno, M Sonnleitner
arXiv preprint arXiv:2303.04728, 2023
2023