Search Results for author: Andrew M Stuart

Found 3 papers, 1 papers with code

Sampling via Gradient Flows in the Space of Probability Measures

no code implementations5 Oct 2023 Yifan Chen, Daniel Zhengyu Huang, Jiaoyang Huang, Sebastian Reich, Andrew M Stuart

Our third contribution is to study, and develop efficient algorithms based on Gaussian approximations of the gradient flows; this leads to an alternative to particle methods.

Variational Inference

Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs

no code implementations8 May 2023 Pau Batlle, Yifan Chen, Bamdad Hosseini, Houman Owhadi, Andrew M Stuart

We introduce a priori Sobolev-space error estimates for the solution of nonlinear, and possibly parametric, PDEs using Gaussian process and kernel based methods.

Solving and Learning Nonlinear PDEs with Gaussian Processes

2 code implementations24 Mar 2021 Yifan Chen, Bamdad Hosseini, Houman Owhadi, Andrew M Stuart

The main idea of our method is to approximate the solution of a given PDE as the maximum a posteriori (MAP) estimator of a Gaussian process conditioned on solving the PDE at a finite number of collocation points.

Gaussian Processes

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