Publications

Peer-reviewed publications

1. EJS

   Lower Bounds for Nonparametric Estimation of Ordinary Differential Equations

   Christof Schötz and Maximilian Siebel

   Electronic Journal of Statistics, 2026

   DOI arXiv Bib

   @article{SchoetzSiebel_2026,
     title = {Lower Bounds for Nonparametric Estimation of Ordinary Differential Equations},
     author = {Schötz, Christof and Siebel, Maximilian},
     journal = {Electronic Journal of Statistics},
     year = {2026},
     volume = {20},
     number = {1},
     pages = {503--559},
     doi = {10.1214/26-EJS2484},
   }

2. JUQ

   Convergence Rates for the Maximum A Posteriori Estimator in PDE-Regression Models with Random Design

   Maximilian Siebel

   SIAM/ASA Journal on Uncertainty Quantification, 2025

   DOI arXiv Bib

   @article{Siebel_2025,
     title = {Convergence Rates for the Maximum A Posteriori Estimator in {PDE}-Regression Models with Random Design},
     author = {Siebel, Maximilian},
     journal = {SIAM/ASA Journal on Uncertainty Quantification},
     year = {2025},
     volume = {13},
     number = {4},
     pages = {1862--1903},
     doi = {10.1137/25M1744526},
   }

3. EJS

   Multiplicative Deconvolution under Unknown Error Distribution

   Sergio Filipe Brenner Miguel, Jan Johannes, and Maximilian Siebel

   Electronic Journal of Statistics, 2024

   DOI arXiv Bib

   @article{MiguelEtAl_2024,
     title = {Multiplicative Deconvolution under Unknown Error Distribution},
     author = {Brenner Miguel, Sergio Filipe and Johannes, Jan and Siebel, Maximilian},
     journal = {Electronic Journal of Statistics},
     year = {2024},
     volume = {18},
     number = {2},
     pages = {4795--4850},
     doi = {10.1214/24-EJS2314},
   }

Preprints

1. arXiv

   Posterior Contraction under Misspecification and Heteroscedasticity in Non-Linear Inverse Problems

   Fanny Seizilles and Maximilian Siebel

   2026

   DOI Bib

   @misc{SeizillesSiebel_2026,
     title = {Posterior Contraction under Misspecification and Heteroscedasticity in Non-Linear Inverse Problems},
     author = {Seizilles, Fanny and Siebel, Maximilian},
     year = {2026},
     doi = {10.48550/arXiv.2603.28177},
   }

Doctoral thesis

1. PhD

   Statistical (Non)linear Inverse Problems with Unknown Structures: From Deconvolution to Dynamical Systems

   Maximilian Siebel

   Heidelberg University, Jul 2026

   Bib HTML

   @phdthesis{SiebelThesis_2026,
     title = {Statistical (Non)linear Inverse Problems with Unknown Structures: From Deconvolution to Dynamical Systems},
     author = {Siebel, Maximilian},
     school = {Heidelberg University},
     year = {2026},
     month = jul,
   }