37 citations · 151 across the 27 of their papers we have counts for
7 papers · 1 filter
Conditional Optimal Transport on Function Spaces
Bamdad Hosseini, Alexander W. Hsu, Amirhossein Taghvaei
We present a systematic study of conditional triangular transport maps in function spaces from the perspective of optimal transportation and with a view towards amortized Bayesian…
Nonlinear Filtering with Brenier Optimal Transport Maps
Mohammad Al-Jarrah, Niyizhen Jin, Bamdad Hosseini +1
This paper is concerned with the problem of nonlinear filtering, i.e., computing the conditional distribution of the state of a stochastic dynamical system given a history of noisy…
Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs
Pau Batlle, Yifan Chen, Bamdad Hosseini +2
We introduce a priori Sobolev-space error estimates for the solution of nonlinear, and possibly parametric, PDEs using Gaussian process and kernel based methods. The primary assump…
Kernel Methods are Competitive for Operator Learning
Pau Batlle, Matthieu Darcy, Bamdad Hosseini +1
We present a general kernel-based framework for learning operators between Banach spaces along with a priori error analysis and comprehensive numerical comparisons with popular neu…
Optimal Transport Particle Filters
Mohammad Al-Jarrah, Bamdad Hosseini, Amirhossein Taghvaei
This paper is concerned with the theoretical and computational development of a new class of nonlinear filtering algorithms called the optimal transport particle filters (OTPF). Th…
Bayesian Posterior Perturbation Analysis with Integral Probability Metrics
Alfredo Garbuno-Inigo, Tapio Helin, Franca Hoffmann +1
In recent years, Bayesian inference in large-scale inverse problems found in science, engineering and machine learning has gained significant attention. This paper examines the rob…
An Approximation Theory Framework for Measure-Transport Sampling Algorithms
Ricardo Baptista, Bamdad Hosseini, Nikola B. Kovachki +2
This article presents a general approximation-theoretic framework to analyze measure transport algorithms for probabilistic modeling. A primary motivating application for such algo…