no code implementations • 14 Feb 2023 • Benjamin J. Zhang, Youssef M. Marzouk, Konstantinos Spiliopoulos
We show that in continuous time, when a transport map is applied to Langevin dynamics, the result is a Riemannian manifold Langevin dynamics (RMLD) with metric defined by the transport map.
no code implementations • 22 Jun 2022 • Ricardo Baptista, Lianghao Cao, Joshua Chen, Omar Ghattas, Fengyi Li, Youssef M. Marzouk, J. Tinsley Oden
We tackle this challenging Bayesian inference problem using a likelihood-free approach based on measure transport together with the construction of summary statistics for the image data.
no code implementations • 18 Aug 2021 • Benjamin J. Zhang, Youssef M. Marzouk, Konstantinos Spiliopoulos
We introduce a novel geometry-informed irreversible perturbation that accelerates convergence of the Langevin algorithm for Bayesian computation.
1 code implementation • 9 Jun 2020 • Felipe Uribe, Iason Papaioannou, Youssef M. Marzouk, Daniel Straub
Although some existing parametric distribution families are designed to perform efficiently in high dimensions, their applicability within the cross-entropy method is limited to problems with dimension of O(1e2).
Computation
1 code implementation • 26 Mar 2019 • Chi Feng, Youssef M. Marzouk
We develop a new computational approach for "focused" optimal Bayesian experimental design with nonlinear models, with the goal of maximizing expected information gain in targeted subsets of model parameters.
Computation Methodology
1 code implementation • 28 Apr 2016 • Xun Huan, Youssef M. Marzouk
Advantages over batch and greedy design are then demonstrated on a nonlinear source inversion problem where we seek an optimal policy for sequential sensing.