PUB - Publikationen an der Universität Bielefeld

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• [17]
  

  2024 | Preprint | PUB-ID: 2987421

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

  PUB | PDF | arXiv
   
• [16]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969764

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

  PUB | DOI | WoS | arXiv
   
• [15]
  

  2023 | Sammelwerksbeitrag | PUB-ID: 2969765

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

  PUB | DOI | arXiv
   
• [14]
  

  2023 | Sammelwerksbeitrag | PUB-ID: 2969767

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

  PUB | DOI | arXiv
   
• [13]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969774

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

  PUB | DOI | WoS
   
• [12]
  

  2022 | Preprint | PUB-ID: 2969766

  Altmeyer, Randolf, Tiepner, Anton, and Wahl, Martin. 2022. “Optimal parameter estimation for linear SPDEs from multiple measurements”. arXiv:2211.02496.

  PUB | arXiv
   
• [11]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969761

  Wahl, Martin. 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.

  PUB | DOI | WoS
   
• [10]
  

  2022 | Preprint | PUB-ID: 2969758

  Jirak, Moritz, and Wahl, Martin. 2022. “Quantitative limit theorems and bootstrap approximations for empirical spectral projectors”. arXiv:2208.12871.

  PUB | arXiv
   
• [9]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969762

  Gregory, Karl, Mammen, Enno, and Wahl, Martin. 2021. “Statistical inference in sparse high-dimensional additive models”. The Annals of Statistics 49 (3): 1514-1536.

  PUB | DOI | WoS
   
• [8]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969773

  Hartung, Niklas, Wahl, Martin, Rastogi, Abhishake, and Huisinga, Wilhelm. 2021. “Nonparametric goodness‐of‐fit testing for parametric covariate models in pharmacometric analyses”. CPT: Pharmacometrics & Systems Pharmacology 10 (6): 564-576.

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

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969772

  Celisse, Alain, and Wahl, Martin. 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, Markus, and Wahl, Martin. 2020. “Nonasymptotic upper bounds for the reconstruction error of PCA”. The Annals of Statistics 48 (2): 1098-1123.

  PUB | DOI | WoS
   
• [5]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969763

  Milbradt, Cassandra, and Wahl, Martin. 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, Moritz, and Wahl, Martin. 2020. “Perturbation bounds for eigenspaces under a relative gap condition”. Proceedings of the American Mathematical Society 148 (2): 479-494.

  PUB | DOI | WoS
   
• [3]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969770

  Reiß, Markus, and Wahl, Martin. 2019. “Functional estimation and hypothesis testing in nonparametric boundary models”. Bernoulli 25 (4A).

  PUB | DOI | WoS
   
• [2]
  

  2019 | Preprint | PUB-ID: 2969769

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

  PUB | arXiv
   
• [1]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969771

  Wahl, Martin. 2014. “On the mod-Gaussian convergence of a sum over primes”. Mathematische Zeitschrift 276 (3-4): 635-654.

  PUB | DOI | WoS