116 citations · 352 across the 16 of their papers we have counts for
3 papers · 1 filter
Neural active manifolds: nonlinear dimensionality reduction for uncertainty quantification
Andrea Zanoni, Gianluca Geraci, Matteo Salvador +2
We present a new approach for nonlinear dimensionality reduction, specifically designed for computationally expensive mathematical models. We leverage autoencoders to discover a on…
A polynomial chaos approach for uncertainty quantification of Monte Carlo transport codes
Gianluca Geraci, Kayla Clements, Aaron J Olson
In this contribution, we discuss the construction of Polynomial Chaos surrogates for Monte Carlo radiation transport applications via non-intrusive spectral projection. This contri…
Adaptive Multi-index Collocation for Uncertainty Quantification and Sensitivity Analysis
John D. Jakeman, Michael Eldred, Gianluca Geraci +1
In this paper, we present an adaptive algorithm to construct response surface approximations of high-fidelity models using a hierarchy of lower fidelity models. Our algorithm is ba…