From the 1 of 5 linked papers with an AI index.
5 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…
Conditional Sampling via Wasserstein Autoencoders and Triangular Transport
Mohammad Al-Jarrah, Michele Martino, Marcus Yim +2
We present Conditional Wasserstein Autoencoders (CWAEs), a framework for conditional simulation that exploits low-dimensional structure in both the conditioned and the conditioning…
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…
Flow matching for stochastic linear control systems
Yuhang Mei, Mohammad Al-Jarrah, Amirhossein Taghvaei +1
This paper addresses the problem of steering an initial probability distribution to a target probability distribution through a deterministic or stochastic linear control system. O…