Labeled random finite sets vs. trajectory random finite sets

Ronald Mahler

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arXiv · 2401.17314

Labeled random finite sets vs. trajectory random finite sets

Ronald Mahler

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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.

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Ronald Mahler. 2023-12-17. Labeled random finite sets vs. trajectory random finite sets. https://arxiv.org/abs/2401.17314

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