PUB - Publikationen an der Universität Bielefeld

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• [19]
  

  2025 | Preprint | PUB-ID: 3002269

  Lerch, Jan-Paul, and Wahl, Martin. “On empirical Hodge Laplacians under the manifold hypothesis”. arXiv:2504.03427 (2025).

  PUB | arXiv
   
• [18]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969766

  Altmeyer, Randolf, Tiepner, Anton, and Wahl, Martin. “Optimal parameter estimation for linear SPDEs from multiple measurements”. Annals of Statistics 52.4 (2024): 1307-1333.

  PUB | DOI | WoS | arXiv
   
• [17]
  

  2024 | Preprint | PUB-ID: 2992056

  Jirak, Moritz, Minsker, Stanislav, Shen, Yiqiu, and Wahl, Martin. “Concentration and moment inequalities for heavy-tailed random matrices”. arXiv:2407.12948 (2024).

  PUB | arXiv
   
• [16]
  

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

  Jirak, Moritz, and Wahl, Martin. “Quantitative limit theorems and bootstrap approximations for empirical spectral projectors”. Probability Theory and Related Fields (2024).

  PUB | DOI | WoS | arXiv
   
• [15]
  

  2024 | Preprint | PUB-ID: 2987421

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

  PUB | PDF | arXiv
   
• [14]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969764

  Hucker, Laura, and Wahl, Martin. “A note on the prediction error of principal component regression in high dimensions”. Theory of Probability and Mathematical Statistics 109 (2023): 37-53.

  PUB | DOI | WoS | arXiv
   
• [13]
  

  2023 | Sammelwerksbeitrag | PUB-ID: 2969765

  Koltchinskii, Vladimir, and Wahl, Martin. “Functional estimation in log-concave location families”. High dimensional probability IX—the ethereal volume. Cham: Birkhäuser/Springer, 2023.Vol. 80. Progr. Probab. 393--440.

  PUB | DOI | arXiv
   
• [12]
  

  2023 | Sammelwerksbeitrag | PUB-ID: 2969767

  Wahl, Martin. “Van Trees inequality, group equivariance, and estimation of principal subspaces”. Foundations of modern statistics. Cham: Springer, 2023.Vol. 425. Springer Proc. Math. Stat. 301--321.

  PUB | DOI | arXiv
   
• [11]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969774

  Jirak, Moritz, and Wahl, Martin. “Relative perturbation bounds with applications to empirical covariance operators”. Advances in Mathematics 412 (2023): 108808.

  PUB | DOI | WoS
   
• [10]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969761

  Wahl, Martin. “Lower bounds for invariant statistical models with applications to principal component analysis”. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 58.3 (2022): 1565-1589.

  PUB | DOI | WoS
   
• [9]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969762

  Gregory, Karl, Mammen, Enno, and Wahl, Martin. “Statistical inference in sparse high-dimensional additive models”. The Annals of Statistics 49.3 (2021): 1514-1536.

  PUB | DOI | WoS
   
• [8]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969773

  Hartung, Niklas, Wahl, Martin, Rastogi, Abhishake, and Huisinga, Wilhelm. “Nonparametric goodness‐of‐fit testing for parametric covariate models in pharmacometric analyses”. CPT: Pharmacometrics & Systems Pharmacology 10.6 (2021): 564-576.

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

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969772

  Celisse, Alain, and Wahl, Martin. “Analyzing the discrepancy principle for kernelized spectral filter learning algorithms”. Journal of Machine Learning Research (JMLR) 22.1 (2021): 3498–3556.

  PUB | arXiv
   
• [6]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969757

  Reiß, Markus, and Wahl, Martin. “Nonasymptotic upper bounds for the reconstruction error of PCA”. The Annals of Statistics 48.2 (2020): 1098-1123.

  PUB | DOI | WoS
   
• [5]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969763

  Milbradt, Cassandra, and Wahl, Martin. “High-probability bounds for the reconstruction error of PCA”. Statistics & Probability Letters 161 (2020): 108741.

  PUB | DOI | WoS
   
• [4]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969776

  Jirak, Moritz, and Wahl, Martin. “Perturbation bounds for eigenspaces under a relative gap condition”. Proceedings of the American Mathematical Society 148.2 (2020): 479-494.

  PUB | DOI | WoS
   
• [3]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969770

  Reiß, Markus, and Wahl, Martin. “Functional estimation and hypothesis testing in nonparametric boundary models”. Bernoulli 25.4A (2019).

  PUB | DOI | WoS
   
• [2]
  

  2019 | Preprint | PUB-ID: 2969769

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

  PUB | arXiv
   
• [1]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969771

  Wahl, Martin. “On the mod-Gaussian convergence of a sum over primes”. Mathematische Zeitschrift 276.3-4 (2014): 635-654.

  PUB | DOI | WoS