Function Values Are Enough for -Approximation D Krieg, M Ullrich Foundations of Computational Mathematics 21, 1141-1151, 2021 | 71 | 2021 |
Function values are enough for L2-approximation: Part II D Krieg, M Ullrich Journal of Complexity 66, 101569, 2021 | 49 | 2021 |
A sharp upper bound for sampling numbers in L2 M Dolbeault, D Krieg, M Ullrich Applied and Computational Harmonic Analysis 63, 113-134, 2023 | 45 | 2023 |
A universal algorithm for multivariate integration D Krieg, E Novak Foundations of Computational Mathematics 17, 895-916, 2017 | 38 | 2017 |
Random sections of ellipsoids and the power of random information A Hinrichs, D Krieg, E Novak, J Prochno, M Ullrich Transactions of the American Mathematical Society 374 (12), 8691-8713, 2021 | 35 | 2021 |
On the power of random information A Hinrichs, D Krieg, E Novak, J Prochno, M Ullrich Multivariate Algorithms and information-based complexity 27, 43-64, 2020 | 29 | 2020 |
Random points are optimal for the approximation of Sobolev functions D Krieg, M Sonnleitner IMA Journal of Numerical Analysis, drad014, 2023 | 27 | 2023 |
Optimal Monte Carlo Methods for -Approximation D Krieg Constructive Approximation 49 (2), 385-403, 2019 | 23 | 2019 |
On the dispersion of sparse grids D Krieg Journal of Complexity 45, 115-119, 2018 | 22 | 2018 |
Tensor power sequences and the approximation of tensor product operators D Krieg Journal of Complexity 44, 30-51, 2018 | 19 | 2018 |
Lower bounds for integration and recovery in L2 A Hinrichs, D Krieg, E Novak, J Vybíral Journal of Complexity 72, 101662, 2022 | 16 | 2022 |
Lower bounds for the error of quadrature formulas for Hilbert spaces A Hinrichs, D Krieg, E Novak, J Vybíral Journal of Complexity 65, 101544, 2021 | 13 | 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 |
New lower bounds for the integration of periodic functions D Krieg, J Vybíral Journal of Fourier Analysis and Applications 29 (4), 41, 2023 | 9 | 2023 |
Exponential tractability of L2-approximation with function values D Krieg, P Siedlecki, M Ullrich, H Woźniakowski Advances in Computational Mathematics 49 (2), 18, 2023 | 8 | 2023 |
Expected dispersion of uniformly distributed points A Hinrichs, D Krieg, RJ Kunsch, D Rudolf Journal of Complexity 61, 101483, 2020 | 8 | 2020 |
Recovery algorithms for high-dimensional rank one tensors D Krieg, D Rudolf Journal of Approximation Theory 237, 17-29, 2019 | 8 | 2019 |
Sampling recovery in the uniform norm D Krieg, K Pozharska, M Ullrich, T Ullrich arXiv preprint arXiv:2305.07539, 2023 | 6 | 2023 |
Sampling recovery in uniform and other norms D Krieg, K Pozharska, M Ullrich, T Ullrich arXiv preprint arXiv:2305.07539, 2023 | 6 | 2023 |