Lie Group State Estimation via Optimal Transport

Zhichao Wang; Victor Solo

ICASSP 2020accepted0 citations

Lie Group State Estimation via Optimal Transport

Abstract

Many applications in science and engineering involve tracking the state of a stochastic differential equation (SDE) evolving in a Lie group. This has been tackled by particle filtering although some existing schemes fail to satisfy geometric constraints. Further the conventional particle filter suffers from particle deprivation. Here we overcome these problems by managing the geometry with the Cayley transform and particle depletion with optimal transport. Simulations show the superiority over 'regular' geometry aware particle filtering.

BibTeX

@inproceedings{icassp2020_liegroupstateest,
  title = {Lie Group State Estimation via Optimal Transport},
  author = {Zhichao Wang and Victor Solo},
  booktitle = {ICASSP 2020},
  year = {2020}
}