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Article

Guth, Philipp A. and Kaarnioja, Vesa (2024) Application of Dimension Truncation Error Analysis to High-Dimensional Function Approximation in Uncertainty Quantification. Monte Carlo and Quasi-Monte Carlo Methods 2022, 460 . pp. 297-312. ISSN 978-3-031-59761-9

Guth, Philipp A. and Kaarnioja, Vesa and Kuo, Frances Y. and Schillings, Claudia and Sloan, Ian H. (2024) Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration. Numerische Mathematik, 156 . pp. 565-608.

Guth, Philipp A. and Kaarnioja, Vesa (2024) Generalized Dimension Truncation Error Analysis for High-Dimensional Numerical Integration: Lognormal Setting and Beyond. SIAM Journal on Numerical Analysis, 62 (2). pp. 872-608892.

Guth, Philipp A. and Kaarnioja, Vesa (2024) Generalized dimension truncation error analysis for high-dimensional numerical integration: lognormal setting and beyond. to appear in SIAM Journal on Numerical Analysis . (Submitted)

Guth, Philipp A. and Kaarnioja, Vesa (2024) Uncertainty quantification for random domains using periodic random variables. Numerische Mathematik, 156 . pp. 273-317.

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

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)

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 .

Guth, Philipp A. and Kaarnioja, Vesa Quasi-Monte Carlo for partial differential equations with generalized Gaussian input uncertainty. arXiv . (Submitted)

Book Section

Guth, Philipp A. and Kaarnioja, Vesa (2024) Application of dimension truncation error analysis to high-dimensional function approximation To appear in: 2022. Springer Verlag, 2024. In: Monte Carlo and Quasi-Monte Carlo Methods. Springer Verlag. (Submitted)