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), p 1307-1333.

  PUB | DOI | WoS | arXiv
   
• [17]
  

  2024 | Preprint | PUB-ID: 2992056

  Jirak, M., et al., 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.

  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, p 37-53.

  PUB | DOI | WoS | arXiv
   
• [13]
  

  2023 | Sammelwerksbeitrag | PUB-ID: 2969765

  Koltchinskii, V., & Wahl, M., 2023. Functional estimation in log-concave location families. In High dimensional probability IX—the ethereal volume. Progr. Probab. no.80 Cham: Birkhäuser/Springer, pp. 393--440.

  PUB | DOI | arXiv
   
• [12]
  

  2023 | Sammelwerksbeitrag | PUB-ID: 2969767

  Wahl, M., 2023. Van Trees inequality, group equivariance, and estimation of principal subspaces. In Foundations of modern statistics. Springer Proc. Math. Stat. no.425 Cham: Springer, pp. 301--321.

  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.

  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), p 1565-1589.

  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), p 1514-1536.

  PUB | DOI | WoS
   
• [8]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969773

  Hartung, N., et al., 2021. Nonparametric goodness‐of‐fit testing for parametric covariate models in pharmacometric analyses. CPT: Pharmacometrics & Systems Pharmacology, 10(6), p 564-576.

  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), p 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), p 1098-1123.

  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.

  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), p 479-494.

  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).

  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), p 635-654.

  PUB | DOI | WoS