67 citations · 170 across the 7 of their papers we have counts for
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math.OC2019★ 2 cited
A Multilevel Stochastic Gradient method for PDE-constrained Optimal Control Problems with uncertain parameters
Matthieu Martin, Fabio Nobile, Panagiotis Tsilifis
In this paper, we present a multilevel Monte Carlo (MLMC) version of the Stochastic Gradient (SG) method for optimization under uncertainty, in order to tackle Optimal Control Prob…
stat.ML2019★ 25 cited
Sparse Polynomial Chaos expansions using Variational Relevance Vector Machines
Panagiotis Tsilifis, Iason Papaioannou, Daniel Straub +1
The challenges for non-intrusive methods for Polynomial Chaos modeling lie in the computational efficiency and accuracy under a limited number of model simulations. These challenge…