Browse by Authors

2022

Weissmann, Simon and Chada, Neil and Schillings, Claudia and Tong, Xin (2022) Adaptive Tikhonov strategies for stochastic ensemble Kalman inversion. . . (Submitted)

Chada, Neil and Schillings, Claudia and Tong, Xin and Weissmann, Simon (2022) Consistency analysis of bilevel data-driven learning in inverse problems. Communications in Mathematical Sciences, 20 (1). pp. 123-164.

2021

Blömker, Dirk and Schillings, Claudia and Wacker, Philipp and Weissmann, Simon (2021) Continuous time limit of the stochastic ensemble Kalman inversion: Strong convergence analysis. . . (Submitted)

Schillings, Claudia and Guth, Philipp A. and Weissmann, Simon (2021) A General Framework for Machine Learning based Optimization Under Uncertainty. . . (Submitted)

John, David N. and Stohrer, Livia and Schillings, Claudia and Schick, Michael and Heuveline, Vincent (2021) Hierarchical surrogate-based Approximate Bayesian Computation for an electric motor test bench. . . (Submitted)

Guth, Philipp A. and Kaarnioja, Vesa and Kuo, Frances Y. and Schillings, Claudia and Sloan, Ian H. (2021) A Quasi-Monte Carlo Method for Optimal Control Under Uncertainty. SIAM/ASA Journal on Uncertainty Quantification, 9 (2).

2020

Schillings, Claudia and Sprungk, Björn and Wacker, Philipp (2020) On the convergence of the Laplace approximation and noise-level-robustness of Laplace-based Monte Carlo methods for Bayesian inverse problems. Numerische Mathematik, 145 . pp. 915-971.

Guth, Philipp A. and Schillings, Claudia and Weissmann, Simon (2020) Ensemble Kalman filter for neural network based one-shot inversion. . . (Submitted)

Schillings, Claudia and Sprungk, Björn and Wacker, Philipp (2020) On the convergence of the Laplace approximation and noise-level-robustness of Laplace-based Monte Carlo methods for Bayesian inverse problems. Numerische Mathematik, 145 (1). pp. 915-971.

2019

Blömker, Dirk and Schillings, Claudia and Wacker, Philipp and Weissmann, Simon (2019) Well posedness and convergence analysis of the ensemble Kalman inversion. Inverse Problems, 35 . pp. 1-33.

2017

Blömker, Dirk and Schillings, Claudia and Wacker, Philipp (2017) A strongly convergent numerical scheme from EnKF continuum analysis. ... . (Submitted)

2016

Schillings, Claudia and Stuart, Andrew M. (2016) Analysis of the ensemble Kalman filter for inverse problems. arXiv .

2012

Schillings, Claudia and Schulz, Volker (2012) Problem Formulations and Treatment of Uncertainties in Aerodynamic Design. AIAA Journal, 47 (3).

2010

Borzì, Alfio and Schulz, Volker H. and Schillings, Claudia and von Winckel, Gregory (2010) On the treatment of distributed uncertainties in PDE‐constrained optimization. GAMM-Mitteilungen, 33 (2). pp. 230-246.