PUB - Publikationen an der Universität Bielefeld

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• [19]
  

  2025 | Preprint | PUB-ID: 3002269

  Lerch, J. - P., & Wahl, M. (2025). On empirical Hodge Laplacians under the manifold hypothesis. arXiv:2504.03427

  PUB | arXiv
   
• [18]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969766

  Altmeyer, R., Tiepner, A., & Wahl, M. (2024). Optimal parameter estimation for linear SPDEs from multiple measurements. Annals of Statistics, 52(4), 1307-1333. https://doi.org/10.1214/24-AOS2364

  PUB | DOI | WoS | arXiv
   
• [17]
  

  2024 | Preprint | PUB-ID: 2992056

  Jirak, M., Minsker, S., Shen, Y., & Wahl, M. (2024). Concentration and moment inequalities for heavy-tailed random matrices. arXiv:2407.12948

  PUB | arXiv
   
• [16]
  

  2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2969758

  Jirak, M., & Wahl, M. (2024). Quantitative limit theorems and bootstrap approximations for empirical spectral projectors. Probability Theory and Related Fields. https://doi.org/10.1007/s00440-024-01290-4

  PUB | DOI | WoS | arXiv
   
• [15]
  

  2024 | Preprint | PUB-ID: 2987421

  Wahl, M. (2024). A kernel-based analysis of Laplacian Eigenmaps. arXiv.2402.16481

  PUB | PDF | arXiv
   
• [14]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969764

  Hucker, L., & Wahl, M. (2023). A note on the prediction error of principal component regression in high dimensions. Theory of Probability and Mathematical Statistics , 109, 37-53. https://doi.org/10.1090/tpms/1196

  PUB | DOI | WoS | arXiv
   
• [13]
  

  2023 | Sammelwerksbeitrag | PUB-ID: 2969765

  Koltchinskii, V., & Wahl, M. (2023). Functional estimation in log-concave location families. High dimensional probability IX—the ethereal volume, Progr. Probab., 80, 393--440. Cham: Birkhäuser/Springer. https://doi.org/10.1007/978-3-031-26979-0_15

  PUB | DOI | arXiv
   
• [12]
  

  2023 | Sammelwerksbeitrag | PUB-ID: 2969767

  Wahl, M. (2023). Van Trees inequality, group equivariance, and estimation of principal subspaces. Foundations of modern statistics, Springer Proc. Math. Stat., 425, 301--321. Cham: Springer. https://doi.org/10.1007/978-3-031-30114-8\_8

  PUB | DOI | arXiv
   
• [11]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969774

  Jirak, M., & Wahl, M. (2023). Relative perturbation bounds with applications to empirical covariance operators. Advances in Mathematics, 412, 108808. https://doi.org/10.1016/j.aim.2022.108808

  PUB | DOI | WoS
   
• [10]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969761

  Wahl, M. (2022). Lower bounds for invariant statistical models with applications to principal component analysis. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 58(3), 1565-1589. https://doi.org/10.1214/21-AIHP1193

  PUB | DOI | WoS
   
• [9]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969762

  Gregory, K., Mammen, E., & Wahl, M. (2021). Statistical inference in sparse high-dimensional additive models. The Annals of Statistics, 49(3), 1514-1536. https://doi.org/10.1214/20-AOS2011

  PUB | DOI | WoS
   
• [8]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969773

  Hartung, N., Wahl, M., Rastogi, A., & Huisinga, W. (2021). Nonparametric goodness‐of‐fit testing for parametric covariate models in pharmacometric analyses. CPT: Pharmacometrics & Systems Pharmacology, 10(6), 564-576. https://doi.org/10.1002/psp4.12614

  PUB | DOI | WoS | PubMed | Europe PMC
   
• [7]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969772

  Celisse, A., & Wahl, M. (2021). Analyzing the discrepancy principle for kernelized spectral filter learning algorithms. Journal of Machine Learning Research (JMLR) , 22(1), 3498–3556.

  PUB | arXiv
   
• [6]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969757

  Reiß, M., & Wahl, M. (2020). Nonasymptotic upper bounds for the reconstruction error of PCA. The Annals of Statistics, 48(2), 1098-1123. https://doi.org/10.1214/19-AOS1839

  PUB | DOI | WoS
   
• [5]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969763

  Milbradt, C., & Wahl, M. (2020). High-probability bounds for the reconstruction error of PCA. Statistics & Probability Letters, 161, 108741. https://doi.org/10.1016/j.spl.2020.108741

  PUB | DOI | WoS
   
• [4]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969776

  Jirak, M., & Wahl, M. (2020). Perturbation bounds for eigenspaces under a relative gap condition. Proceedings of the American Mathematical Society, 148(2), 479-494. https://doi.org/10.1090/proc/14714

  PUB | DOI | WoS
   
• [3]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969770

  Reiß, M., & Wahl, M. (2019). Functional estimation and hypothesis testing in nonparametric boundary models. Bernoulli, 25(4A). https://doi.org/10.3150/18-BEJ1064

  PUB | DOI | WoS
   
• [2]
  

  2019 | Preprint | PUB-ID: 2969769

  Wahl, M. (2019). On the perturbation series for eigenvalues and eigenprojections. arXiv:1910.08460

  PUB | arXiv
   
• [1]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969771

  Wahl, M. (2014). On the mod-Gaussian convergence of a sum over primes. Mathematische Zeitschrift, 276(3-4), 635-654. https://doi.org/10.1007/s00209-013-1216-z

  PUB | DOI | WoS