From the 1 of 4 linked papers with an AI index.
4 papers
Error Analysis of Triangular Optimal Transport Maps for Filtering
Mohammad Al-Jarrah, Bamdad Hosseini, Niyizhen Jin +2
The paper analyzes estimation errors of optimal‑transport‑based filtering algorithms, extending Brenier map error results to conditional Brenier maps and demonstrating the approach…
Error Analysis of Bayesian Inverse Problems with Generative Priors
Bamdad Hosseini, Ziqi Huang
Data-driven methods for the solution of inverse problems have become widely popular in recent years thanks to the rise of machine learning techniques. A popular approach concerns t…
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…
Fast filtering of non-Gaussian models using Amortized Optimal Transport Maps
Mohammad Al-Jarrah, Bamdad Hosseini, Amirhossein Taghvaei
In this paper, we present the amortized optimal transport filter (A-OTF) designed to mitigate the computational burden associated with the real-time training of optimal transport f…