AG Wahl

Preprints and Publications

• On empirical Hodge Laplacians under the manifold hypothesis
  (with J.-P. Lerch)
• A kernel-based analysis of Laplacian Eigenmaps
• Concentration and moment inequalities for
  heavy-tailed random matrices
  to appear in Probab. Theory Related Fields, to appear.
  (with M. Jirak, S. Minsker, Y. Shen)
• Higher-order spectral perturbation expansions I.
  Simple eigenvalues and random perturbations
  to appear in High dimensional probability X.
• Quantitative limit theorems and bootstrap
  approximations for empirical spectral projectors
  Probab. Theory Related Fields 190, 119–177, 2024.
  (with M. Jirak)
• Optimal parameter estimation for linear SPDEs
  from multiple measurements 
  Ann. Statist. 52, 1307–1333, 2024.
  (with A. Tiepner, R. Altmeyer)
• A note on the prediction error of principal component
  regression in high dimensions 
  Theory Probab. Math. Statist. 109, 37-53, 2023.
  (with L. Hucker)
• Functional estimation in log-concave location families 
  High dimensional probability IX—the ethereal volume, 393-440
  Birkhäuser/Springer, Cham, 2023.
  (with V. Koltchinskii)
• Relative perturbation bounds with applications to
  empirical covariance operators
  Advances in Mathematics 412, 2023.
  (with M. Jirak)
• Van Trees inequality, group equivariance, and
  estimation of principal subspaces
  Foundations of Modern Statistics.
  On the occasion of Volodia Spokoiny's 60th birthday, 301-321
  Springer Proc. Math. Stat., 425, Springer, Cham, 2023.
• Lower bounds for invariant statistical models
  with applications to principal component analysis
  Ann. Inst. Henri Poincaré Probab. Stat. 58 1565−1589, 2022.
• Nonparametric goodness-of-fit testing for
  parametric covariate models in pharmacometric analyses
  CPT: CPT Pharmacometrics Syst Pharmacol 10, 564−576, 2021.
  (with N. Hartung, A. Rastogi, W. Huisinga)
• Analyzing the discrepancy principle for
  kernelized spectral filter learning algorithms
  Journal of Machine Learning Research 22, 1−59, 2021.
  (with A. Celisse)
• Statistical inference in sparse high-dimensional additive models
  Annals of Statistics 49, 1514-1536, 2021. 
  (with K. Gregory, E. Mammen)
• High-probability bounds for the reconstruction error of PCA
  Statistics & Probability Letters 161, 2020.
  (with C. Milbradt)
• Perturbation bounds for eigenspaces under
  a relative gap condition
  Proceedings of the AMS 148, 479-494, 2020.
  (with M. Jirak)
• Nonasymptotic upper bounds for the reconstruction error of PCA
  Annals of Statistics 48, 1098-1123, 2020.
  (with M. Reiß)
• Functional estimation and hypothesis testing
  in nonparametric boundary models
  Bernoulli 25, 2597-2619, 2019.
  (with M. Reiß)
• On the mod-Gaussian convergence of a sum over primes
  Mathematische Zeitschrift 276, 635-654, 2014.