English

Distributed Nonlinear Filtering using Triangular Transport Maps

Multiagent Systems 2023-10-31 v1

Abstract

The distributed filtering problem sequentially estimates a global state variable using observations from a network of local sensors with different measurement models. In this work, we introduce a novel methodology for distributed nonlinear filtering by combining techniques from transportation of measures, dimensionality reduction, and consensus algorithms. We illustrate our methodology on a satellite pose estimation problem from a network of direct and indirect observers. The numerical results serve as a proof of concept, offering new venues for theoretical and applied research in the domain of distributed filtering.

Keywords

Cite

@article{arxiv.2310.19000,
  title  = {Distributed Nonlinear Filtering using Triangular Transport Maps},
  author = {Daniel Grange and Ricardo Baptista and Amirhossein Taghvaei and Allen Tannenbaum and Sean Phillips},
  journal= {arXiv preprint arXiv:2310.19000},
  year   = {2023}
}

Comments

7 pages, 2 figures

R2 v1 2026-06-28T13:05:04.368Z