54 citations · 81 across the 7 of their papers we have counts for
7 papers
Scalable Multilevel Monte Carlo Methods Exploiting Parallel Redistribution on Coarse Levels
Hillary R. Fairbanks, Delyan Z. Kalchev, Chak Shing Lee +1
We study an element agglomeration coarsening strategy that requires data redistribution at coarse levels when the number of coarse elements becomes smaller than the used computatio…
Accelerating Multilevel Markov Chain Monte Carlo Using Machine Learning Models
Sohail Reddy, Hillary Fairbanks
This work presents an efficient approach for accelerating multilevel Markov Chain Monte Carlo (MCMC) sampling for large-scale problems using low-fidelity machine learning models. W…
Multilevel Hierarchical Decomposition of Finite Element White Noise with Application to Multilevel Markov Chain Monte Carlo
Hillary R. Fairbanks, Umberto Villa, Panayot S. Vassilevski
In this work we develop a new hierarchical multilevel approach to generate Gaussian random field realizations in an algorithmically scalable manner that is well-suited to incorpora…
Bi-fidelity approximation for uncertainty quantification and sensitivity analysis of irradiated particle-laden turbulence
Hillary R. Fairbanks, Lluis Jofre, Gianluca Geraci +2
Efficiently performing predictive studies of irradiated particle-laden turbulent flows has the potential of providing significant contributions towards better understanding and opt…
Multi-fidelity uncertainty quantification of irradiated particle-laden turbulence
Lluis Jofre, Gianluca Geraci, Hillary Fairbanks +2
The study of complex systems is often based on computationally intensive, high-fidelity, simulations. To build confidence in the prediction accuracy of such simulations, the impact…
Parametric/Stochastic Model Reduction: Low-Rank Representation, Non-Intrusive Bi-Fidelity Approximation, and Convergence Analysis
Jerrad Hampton, Hillary Fairbanks, Akil Narayan +1
For practical model-based demands, such as design space exploration and uncertainty quantification (UQ), a high-fidelity model that produces accurate outputs often has high computa…
A Low-rank Control Variate for Multilevel Monte Carlo Simulation of High-dimensional Uncertain Systems
Hillary Fairbanks, Alireza Doostan, Christian Ketelsen +1
Multilevel Monte Carlo (MLMC) is a recently proposed variation of Monte Carlo (MC) simulation that achieves variance reduction by simulating the governing equations on a series of…