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Article

Hanu, Matei and Hesser, Jürgen and Kanschat, Guido and Moviglia, Javier and Schillings, Claudia and Stallkamp, Jan (2023) Ensemble Kalman Inversion for Image Guided Guide Wire Navigation in Vascular Systems. arXiv . (Submitted)

Schillings, Claudia and Totzeck, Claudia and Wacker, Philipp (2023) Ensemble-based gradient inference for particle methods in optimization and sampling. SIAM/ASA Journal on Uncertainty Quantification, 11 (3). pp. 757-787.

Jung, S. and Schwedhelm, J.C. and Schillings, Claudia and Keuper, M. (2023) Happy People--Image Synthesis as Black-Box Optimization Problem in the Discrete Latent Space of Deep Generative Models. arXiv . (Submitted)

Mollenhauer, Mattes and Schillings, Claudia (2023) On the concentration of subgaussian vectors and positive quadratic forms in Hilbert spaces. arXiv . (Submitted)

von Kleist, M. and Raharinirina, Alexia and Gubela, Nils and Börnigen, Daniela and Smith, Maureen and Oh, Djin-Ye and Budt, Matthias and Mache, Christin and Schillings, Claudia and Fuchs, Stephan and Dürrwald, Ralf and Wolff, Thorsten and Hoelzer, Martin and Sofia, Paraskevopoulou (2023) SARS-CoV-2 Evolution on a Dynamic Immune Landscape. Biological Sciences . (Submitted)

Hanu, Matei and Latz, J. and Schillings, Claudia (2023) Subsampling in ensemble Kalman inversion. Inverse Problems, 39 (9).

Weissmann, Simon and Chada, Neil and Schillings, Claudia and Tong, Xin (2022) Adaptive Tikhonov strategies for stochastic ensemble Kalman inversion. Inverse Problems, 38 (4).

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.

Blömker, Dirk and Schillings, Claudia and Wacker, Philipp and Weissmann, Simon (2022) Continuous time limit of the stochastic ensemble Kalman inversion: Strong convergence analysis. SIAM Journal on Numerical Analysis, 60 (6). pp. 3181-3215.

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). pp. 354-383.

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)

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

Ernst, Oliver and Nobile, Fabio and Schillings, Claudia and Sullivan, Tim (2020) Uncertainty quantification. Oberwolfach Reports, 16 (1). pp. 695-772.

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.

Chada, Neil and Schillings, Claudia and Weissmann, Simon (2019) On the incorporation of box-constraints for ensemble Kalman inversion. Foundations of Data Science, 1 (4). pp. 433-456.

Oesting, Marco and Schlather, Martin and Schillings, Claudia (2019) Sampling sup‐normalized spectral functions for Brown–Resnick processes. Stat, 8 (1).

Guth, Philipp A. and Kaarnioja, Vesa and Kuo, Frances Y. and Schillings, Claudia and Sloan, Ian H. (2019) A quasi-Monte Carlo method for an optimal control problem under uncertainty. ArXiv .

Hajian, Soheil and Hintermüller, Michael and Schillings, Claudia and Strogtes, Michael (2018) A Bayesian approach to parameter identification in gas networks. Preprint : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2537 .

Hiptmair, R. and Scarabosio, L. and Schillings, Claudia and Schwab, Ch. (2018) Large deformation shape uncertainty quantification in acoustic scattering. Advances in Computational Mathematics, 44 . pp. 1475-1518.

Blömker, Dirk and Schillings, Claudia and Wacker, Philipp (2018) A strongly convergent numerical scheme from ensemble Kalman inversion. SIAM Journal on Numerical Analysis, 56 (4).

Schillings, Claudia and Stuart, Andrew M. (2017) Convergence Analysis of the Ensemble Kalman Filter for Inverse Problems: the Noisy Case. ArXiv .

Schillings, Claudia and Stuart, Andrew M. (2017) Convergence analysis of ensemble Kalman inversion: the linear, noisy case. arXiv . (Submitted)

Liu, Dishi and Litvinenko, Alexander and Schillings, Claudia and Schulz, Volker (2017) Quantification of airfoil geometry-induced aerodynamic uncertainties---comparison of approaches. SIAM/ASA Journal on Uncertainty Quantification, 5 (1).

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

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

Schillings, Claudia and Schwab, Christoph (2016) Scaling limits in computational Bayesian inversion. ESAIM: Mathematical Modelling and Numerical Analysis, 50 (6). pp. 1825-1856. ISSN 2822-7840; eISSN = 2804-7214

Schillings, Claudia and Sunnåker, Mikael and Stelling, Jörg and Schwab, Christoph (2015) Efficient characterization of parametric uncertainty of complex (bio) chemical networks. PLOS Computational Biology .

Schillings, Claudia and Schulz, Volker (2014) On the influence of robustness measures on shape optimization with stochastic uncertainties. Optimization and Engineering, 16 . pp. 347-386. ISSN 1573-2924; Print 1389-4420

Schillings, Claudia and Schwab, Christoph (2014) Sparsity in Bayesian inversion of parametric operator equations. Inverse Problems, 30 (6).

Schillings, Claudia and Schwab, Christoph (2013) Sparse, adaptive Smolyak quadratures for Bayesian inverse problems. Inverse Problems, 29 (6).

Schillings, Claudia and Schwab, Christoph (2013) A note on sparse, adaptive Smolyak quadratures for Bayesian inverse problems. SAM Research Report, 06 .

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

Schwab, Christoph and Schillings, Claudia (2012) Sparse, adaptive Smolyak algorithms for Bayesian inverse problems. Research Report No. 2012-37 .

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.

Book Section

Gantner, Robert N. and Schillings, Claudia and Schwab, Christoph (2016) Binned Multilevel Monte Carlo for Bayesian Inverse Problems with Large Data. In: Domain Decomposition Methods in Science and Engineering XXII. Springer, pp. 511-519. ISBN 978-3-319-18826-3

Hansen, Markus and Schillings, Claudia and Schwab, Christoph (2014) Sparse approximation algorithms for high dimensional parametric initial value problems. In: Modeling, Simulation and Optimization of Complex Processes - HPSC 2012. Proceedings of the Fifth International Conference on High Performance Scientific Computing, March 5-9, 2012, Hanoi, Vietnam . Springer Cham, pp. 63-81. ISBN 978-3-319-09062-7

Schulz, Volker and Schillings, Claudia (2013) Optimal aerodynamic design under uncertainty. In: Management and Minimisation of Uncertainties and Errors in Numerical Aerodynamics. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 122 . Springer, Berlin, Heidelberg, pp. 297-338. ISBN 978-3-642-36184-5 Online: 978-3-642-36185-2

Conference or Workshop Item

Royset, Johannes and Ruthotto, Lars and Schillings, Claudia and Surowiec, Thomas M. (2023) Workshop Report 21w5167 Optimization under Uncertainty: Learning and Decision Making in 2021. In: held virtually hosted by the, Feb 8 - 12, 2023, Banff International Research Station for Mathematical Innovation and Discovery (BIRS).

Gantner, Robert N. and Schillings, Claudia and Schwab, Christoph (2014) Multilevel Monte Carlo for Bayesian Inverse Problems. In: Swiss Numerics Day 2014, April 2014, Universität Zürich.

Schwab, Christoph and Schillings, Claudia (2013) Sparse Quadrature Approach to Bayesian Inverse Problems. In: SIAM Conference on Computational Science and Engineering.

Book

Schillings, Claudia and Schmidt, Stephan and Schulz, Volker (2011) Efficient shape optimization for certain and uncertain aerodynamic design. Elsevier, pp. 78-87.