Publications

Preprints

F. Bartel and P. Schröter. Learning and Leveraging Anisotropy Parameters in ANOVA Approximation. arXiv:2511.00251, 2025.	pdf arXiv
F. Bartel, A. D. Gilbert, F. Y. Kuo, and I. H. Sloan. Minimal Subsampled Rank-1 Lattices for Multivariate Approximation with Optimal Convergence Rate. arXiv:2506.07729, 2025.	pdf arXiv
F. Bartel, L. Kämmerer, K. Pozharska, M. Schäfer, and T. Ullrich. Exact discretization, tight frames and recovery via D-optimal designs. arXiv:2412.02489, 2024.	pdf arXiv
F. Bartel and D. Dũng. Sampling recovery in Bochner spaces and applications to parametric PDEs. arXiv:2409.05050, 2024.	pdf arXiv

Journal papers

F. Bartel. Error Guarantees for Least Squares Approximation with Noisy Samples in Domain Adaptation. SMAI J. Comput. Math., 9:95-120, 2023.	pdf arXiv doi
F. Bartel, L. Kämmerer, D. Potts, and T. Ullrich. On the reconstruction of functions from values at subsampled quadrature points. Math. Comp. 93:785-809, 2023.	pdf arXiv doi
F. Bartel, M. Schäfer, and T. Ullrich. Constructive subsampling of finite frames with applications in optimal function recovery. Appl. Comput. Harmon. Anal., 65:209-248, 2023.	pdf arXiv doi
F. Bartel and R. Hielscher. Concentration inequalities for cross-validation in scattered data approximation. J. Approx. Theory, 227:Paper No. 105715, 17, 2022.	pdf arXiv doi
F. Bartel, D. Potts, and M. Schmischke. Grouped Transformations in High-Dimensional Explainable ANOVA Approximation. SIAM J. Sci. Comput., 44(3):A1606-A1631, 2022.	pdf arXiv doi
F. Bartel, R. Hielscher, and D. Potts. Fast Cross-validation in Harmonic Approximation. Appl. Comput. Harmon. Anal., 49(2):4 15-437, 2020	pdf arXiv doi
F. Bartel, T. B. Britton, and R. Hielscher. Gazing at crystal balls: Electron backscatter diffraction pattern analysis and cross correlation on the sphere. Ultramicroscopy, 207:112836, 2019	pdf arXiv doi

Proceedings

F. Bartel and F. Taubert. Nonlinear Approximation with subsampled Rank-1 Lattices. IEEE, Fourteenth International Conference on Sampling Theory and Applications, 2023.	pdf arXiv doi
F. Bartel, K. Lüttgen, N. Nagel, and T. Ullrich. Efficient recovery of non-periodic multivariate functions from few scattered samples. IEEE, Fourteenth International Conference on Sampling Theory and Applications, 2023.	pdf arXiv doi

Thesis

Least Squares in Sampling Complexity and Statistical Learning. Universitätsverlag Chemnitz, 2024. PhD thesis.	pdf doi
Fast Cross-validation in Harmonic Approximation. TU Chemnitz, 2019. Master's thesis.	pdf