The impact of uncertainty on predictions of the CovidSim epidemiological code
W Edeling, H Arabnejad, R Sinclair… - Nature Computational …, 2021 - nature.com
Epidemiological modelling has assisted in identifying interventions that reduce the impact of
COVID-19. The UK government relied, in part, on the CovidSim model to guide its policy to …
COVID-19. The UK government relied, in part, on the CovidSim model to guide its policy to …
Ensembles are required to handle aleatoric and parametric uncertainty in molecular dynamics simulation
Classical molecular dynamics is a computer simulation technique that is in widespread use
across many areas of science, from physics and chemistry to materials, biology, and …
across many areas of science, from physics and chemistry to materials, biology, and …
Data-driven surrogates for high dimensional models using Gaussian process regression on the Grassmann manifold
DG Giovanis, MD Shields - Computer Methods in Applied Mechanics and …, 2020 - Elsevier
This paper introduces a surrogate modeling scheme based on Grassmannian manifold
learning to be used for cost-efficient predictions of high-dimensional stochastic systems. The …
learning to be used for cost-efficient predictions of high-dimensional stochastic systems. The …
Robust adaptive least squares polynomial chaos expansions in high‐frequency applications
D Loukrezis, A Galetzka… - International Journal of …, 2020 - Wiley Online Library
We present an algorithm for computing sparse, least squares‐based polynomial chaos
expansions, incorporating both adaptive polynomial bases and sequential experimental …
expansions, incorporating both adaptive polynomial bases and sequential experimental …
An hp‐adaptive multi‐element stochastic collocation method for surrogate modeling with information re‐use
A Galetzka, D Loukrezis, N Georg… - International Journal …, 2023 - Wiley Online Library
This article introduces an hp hp‐adaptive multi‐element stochastic collocation method,
which additionally allows to re‐use existing model evaluations during either hh‐or pp …
which additionally allows to re‐use existing model evaluations during either hh‐or pp …
An adaptive sparse grid rational Arnoldi method for uncertainty quantification of dynamical systems in the frequency domain
In this paper, we address discrete linear systems in the frequency domain, where both
frequency and random parameters are considered. Sampling such a system many times is …
frequency and random parameters are considered. Sampling such a system many times is …
Multilevel adaptive sparse Leja approximations for Bayesian inverse problems
Deterministic interpolation and quadrature methods are often unsuitable to address
Bayesian inverse problems depending on computationally expensive forward mathematical …
Bayesian inverse problems depending on computationally expensive forward mathematical …
Adaptive sparse polynomial chaos expansions via Leja interpolation
D Loukrezis, H De Gersem - arXiv preprint arXiv:1911.08312, 2019 - arxiv.org
This work suggests an interpolation-based stochastic collocation method for the non-
intrusive and adaptive construction of sparse polynomial chaos expansions (PCEs). Unlike …
intrusive and adaptive construction of sparse polynomial chaos expansions (PCEs). Unlike …
Enhanced adaptive surrogate models with applications in uncertainty quantification for nanoplasmonics
N Georg, D Loukrezis, U Römer… - International Journal for …, 2020 - dl.begellhouse.com
We propose an efficient surrogate modeling technique for uncertainty quantification. The
method is based on a well-known dimension-adaptive collocation scheme. We improve the …
method is based on a well-known dimension-adaptive collocation scheme. We improve the …
[PDF][PDF] Adaptive approximations for high-dimensional uncertainty quantification in stochastic parametric electromagnetic field simulations
D Loukrezis - 2019 - tuprints.ulb.tu-darmstadt.de
The present work addresses the problems of high-dimensional approximation and
uncertainty quantification in the context of electromagnetic field simulations. In the presence …
uncertainty quantification in the context of electromagnetic field simulations. In the presence …