English

Labeled random finite sets vs. trajectory random finite sets

Systems and Control 2024-11-05 v3 Systems and Control Computation

Abstract

The paper [12] discussed two approaches for multitarget tracking (MTT): the generalized labeled multi-Bernoulli (GLMB) filter and three Poisson multi-Bernoulli mixture (PMBM) filters. The paper [13] discussed two frameworks for multitarget trajectory representation--labeled random finite set (LRFS) and set of trajectories (SoT)--and the merging of SoT and PMBM into trajectory PMBM (TPMBM) theory. This paper summarizes and augments the main findings of [12], [13]--specifcally, why SoT, PMBM, and TPMBM are physically and mathematically erroneous.

Keywords

Cite

@article{arxiv.2401.17314,
  title  = {Labeled random finite sets vs. trajectory random finite sets},
  author = {Ronald Mahler},
  journal= {arXiv preprint arXiv:2401.17314},
  year   = {2024}
}

Comments

6 pages, 1 figur4e

R2 v1 2026-06-28T14:32:17.664Z