[HTML][HTML] Gradient-based optimisation of the conditional-value-at-risk using the multi-level Monte Carlo method

S Ganesh, F Nobile - Journal of Computational Physics, 2023 - Elsevier
In this work, we tackle the problem of minimising the Conditional-Value-at-Risk (CVaR) of
output quantities of complex differential models with random input data, using gradient …

An approximate control variates approach to multifidelity distribution estimation

R Han, B Kramer, D Lee, A Narayan, Y Xu - SIAM/ASA Journal on Uncertainty …, 2024 - SIAM
Forward simulation–based uncertainty quantification that studies the distribution of
quantities of interest (QoI) is crucial for computationally robust engineering design and …

Enhanced Multilevel Monte Carlo Method Applied to FDTD for Probability Distribution Estimation

X Zhu, L Di Rienzo, X Ma… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Multilevel Monte Carlo (MLMC) method, enhanced by a smoothing technique based on
kernel density estimation (KDE), is coupled with the finite-difference time-domain (FDTD) …

Reliable Uncertainty Quantification for Fiber Orientation in Composite Molding Processes using Multilevel Polynomial Surrogates

S Salatovic, S Krumscheid, F Wittemann… - arXiv preprint arXiv …, 2024 - arxiv.org
Fiber orientation is decisive for the mechanical properties and thus for the performance of
composite materials. During manufacturing, variations in material and process parameters …

[PDF][PDF] A Fully Parallelized and Budgeted Multi-level Monte Carlo Framework for Partial Differential Equations: From Mathematical Theory to Automated Large-Scale …

N Baumgarten - 2023 - core.ac.uk
All collected data on any physical, technical or economical process is subject to uncertainty.
By incorporating this uncertainty in the model and propagating it through the system, this …

[PDF][PDF] Novel Methods for Uncertainty Quantification of Spent Nuclear Fuel

A Albà - 2024 - research-collection.ethz.ch
The uncertainty quantification (UQ) of neutronics calculations is of paramount importance for
the study of spent nuclear fuel (SNF). After its removal from a nuclear power plant, SNF …

Optimization under uncertainty and the multilevel Monte Carlo method

FM Menhorn - 2024 - mediatum.ub.tum.de
This work combines optimization under uncertainty (OUU) with the multilevel Monte Carlo
(MLMC) method. For MLMC, we present new estimators for variance, standard deviation …

Multi-Level Monte Carlo Methods for Uncertainty Quantification and Risk-Averse Optimisation

SS Ganesh - 2022 - infoscience.epfl.ch
This work aims to study the effects of wind uncertainties in civil engineering structural
design. Optimising the design of a structure for safety or operability without factoring in these …