Search Results for author: Youssef M. Marzouk

Found 6 papers, 3 papers with code

Transport map unadjusted Langevin algorithms: learning and discretizing perturbed samplers

no code implementations14 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.

Bayesian model calibration for block copolymer self-assembly: Likelihood-free inference and expected information gain computation via measure transport

no code implementations22 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.

Bayesian Inference Informativeness

Geometry-informed irreversible perturbations for accelerated convergence of Langevin dynamics

no code implementations18 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.

Cross-entropy-based importance sampling with failure-informed dimension reduction for rare event simulation

1 code implementation9 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

A layered multiple importance sampling scheme for focused optimal Bayesian experimental design

1 code implementation26 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

Sequential Bayesian optimal experimental design via approximate dynamic programming

1 code implementation28 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.

Experimental Design

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