2 citations · 2 across the 2 of their papers we have counts for
4 papers
Minimizing rational functions: a hierarchy of approximations via pushforward measures
Jean Bernard Lasserre, Victor Magron, Swann Marx +1
This paper is concerned with minimizing a sum of rational functions over a compact set of high-dimension. Our approach relies on the second Lasserre's hierarchy (also known as the…
Randomized residual-based error estimators for the Proper Generalized Decomposition approximation of parametrized problems
Kathrin Smetana, Olivier Zahm
This paper introduces a novel error estimator for the Proper Generalized Decomposition (PGD) approximation of parametrized equations. The estimator is intrinsically random: It buil…
Greedy inference with structure-exploiting lazy maps
Michael C. Brennan, Daniele Bigoni, Olivier Zahm +2
We propose a framework for solving high-dimensional Bayesian inference problems using \emph{structure-exploiting} low-dimensional transport maps or flows. These maps are confined t…
Multifidelity Dimension Reduction via Active Subspaces
Rémi Lam, Olivier Zahm, Youssef Marzouk +1
We propose a multifidelity dimension reduction method to identify a low-dimensional structure present in many engineering models. The structure of interest arises when functions va…