English

Lattice Particle Filters

Artificial Intelligence 2013-01-14 v1 Computer Vision and Pattern Recognition

Abstract

A standard approach to approximate inference in state-space models isto apply a particle filter, e.g., the Condensation Algorithm.However, the performance of particle filters often varies significantlydue to their stochastic nature.We present a class of algorithms, called lattice particle filters, thatcircumvent this difficulty by placing the particles deterministicallyaccording to a Quasi-Monte Carlo integration rule.We describe a practical realization of this idea, discuss itstheoretical properties, and its efficiency.Experimental results with a synthetic 2D tracking problem show that thelattice particle filter is equivalent to a conventional particle filterthat has between 10 and 60% more particles, depending ontheir "sparsity" in the state-space.We also present results on inferring 3D human motion frommoving light displays.

Keywords

Cite

@article{arxiv.1301.2298,
  title  = {Lattice Particle Filters},
  author = {Dirk Ormoneit and Christiane Lemieux and David J. Fleet},
  journal= {arXiv preprint arXiv:1301.2298},
  year   = {2013}
}

Comments

Appears in Proceedings of the Seventeenth Conference on Uncertainty in Artificial Intelligence (UAI2001)

R2 v1 2026-06-21T23:07:30.989Z