19 Publikationen
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2025 | Preprint | PUB-ID: 3002269On empirical Hodge Laplacians under the manifold hypothesisPUB | arXiv
Lerch, Jan-Paul, On empirical Hodge Laplacians under the manifold hypothesis. arXiv:2504.03427 (). , 2025 -
2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969766Optimal parameter estimation for linear SPDEs from multiple measurementsPUB | DOI | WoS | arXiv
Altmeyer, Randolf, Optimal parameter estimation for linear SPDEs from multiple measurements. Annals of Statistics 52 (4). , 2024 -
2024 | Preprint | PUB-ID: 2992056Concentration and moment inequalities for heavy-tailed random matricesPUB | arXiv
Jirak, Moritz, Concentration and moment inequalities for heavy-tailed random matrices. arXiv:2407.12948 (). , 2024 -
2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2969758Quantitative limit theorems and bootstrap approximations for empirical spectral projectorsPUB | DOI | WoS | arXiv
Jirak, Moritz, Quantitative limit theorems and bootstrap approximations for empirical spectral projectors. Probability Theory and Related Fields (). , 2024 -
2024 | Preprint | PUB-ID: 2987421
A kernel-based analysis of Laplacian EigenmapsPUB | PDF | arXiv
Wahl, Martin, A kernel-based analysis of Laplacian Eigenmaps. arXiv.2402.16481 (). , 2024 -
2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969764A note on the prediction error of principal component regression in high dimensionsPUB | DOI | WoS | arXiv
Hucker, Laura, A note on the prediction error of principal component regression in high dimensions. Theory of Probability and Mathematical Statistics 109 (). , 2023 -
2023 | Sammelwerksbeitrag | PUB-ID: 2969765Functional estimation in log-concave location familiesPUB | DOI | arXiv
Koltchinskii, Vladimir, Functional estimation in log-concave location families. High dimensional probability IX—the ethereal volume 80 (). Cham, 2023 -
2023 | Sammelwerksbeitrag | PUB-ID: 2969767Van Trees inequality, group equivariance, and estimation of principal subspacesPUB | DOI | arXiv
Wahl, Martin, Van Trees inequality, group equivariance, and estimation of principal subspaces. Foundations of modern statistics 425 (). Cham, 2023 -
2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969774Relative perturbation bounds with applications to empirical covariance operatorsPUB | DOI | WoS
Jirak, Moritz, Relative perturbation bounds with applications to empirical covariance operators. Advances in Mathematics 412 (). , 2023 -
2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969761Lower bounds for invariant statistical models with applications to principal component analysisPUB | DOI | WoS
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 -
2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969762Statistical inference in sparse high-dimensional additive modelsPUB | DOI | WoS
Gregory, Karl, Statistical inference in sparse high-dimensional additive models. The Annals of Statistics 49 (3). , 2021 -
2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969773Nonparametric goodness‐of‐fit testing for parametric covariate models in pharmacometric analysesPUB | DOI | WoS | PubMed | Europe PMC
Hartung, Niklas, Nonparametric goodness‐of‐fit testing for parametric covariate models in pharmacometric analyses. CPT: Pharmacometrics & Systems Pharmacology 10 (6). , 2021 -
2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969772Analyzing the discrepancy principle for kernelized spectral filter learning algorithmsPUB | arXiv
Celisse, Alain, Analyzing the discrepancy principle for kernelized spectral filter learning algorithms. Journal of Machine Learning Research (JMLR) 22 (1). , 2021 -
2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969757Nonasymptotic upper bounds for the reconstruction error of PCAPUB | DOI | WoS
Reiß, Markus, Nonasymptotic upper bounds for the reconstruction error of PCA. The Annals of Statistics 48 (2). , 2020 -
2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969763High-probability bounds for the reconstruction error of PCAPUB | DOI | WoS
Milbradt, Cassandra, High-probability bounds for the reconstruction error of PCA. Statistics & Probability Letters 161 (). , 2020 -
2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969776Perturbation bounds for eigenspaces under a relative gap conditionPUB | DOI | WoS
Jirak, Moritz, Perturbation bounds for eigenspaces under a relative gap condition. Proceedings of the American Mathematical Society 148 (2). , 2020 -
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969770Functional estimation and hypothesis testing in nonparametric boundary modelsPUB | DOI | WoS
Reiß, Markus, Functional estimation and hypothesis testing in nonparametric boundary models. Bernoulli 25 (4A). , 2019 -
2019 | Preprint | PUB-ID: 2969769On the perturbation series for eigenvalues and eigenprojectionsPUB | arXiv
Wahl, Martin, On the perturbation series for eigenvalues and eigenprojections. arXiv:1910.08460 (). , 2019 -
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969771On the mod-Gaussian convergence of a sum over primesPUB | DOI | WoS
Wahl, Martin, On the mod-Gaussian convergence of a sum over primes. Mathematische Zeitschrift 276 (3-4). , 2014