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This paper considers multiple extended object tracking based on Poisson multi-Bernoulli mixture (PMBM) filtering, which gives the closed-form Bayesian solution for standard multiple extended object models with Poisson birth. To efficiently…

Methodology · Statistics 2026-04-28 Yuxuan Xia , Ángel F. García-Fernández , Lennart Svensson

Multi-object estimation in state-space models (SSMs) wherein the system state is represented as a finite set has attracted significant interest in recent years. In Bayesian inference, the posterior density captures all information on the…

Methodology · Statistics 2025-09-24 Thi Hong Thai Nguyen , Ba-Ngu Vo , Ba-Tuong Vo

In multi-object inference, the multi-object probability density captures the uncertainty in the number and the states of the objects as well as the statistical dependence between the objects. Exact computation of the multi-object density is…

Other Statistics · Statistics 2015-10-28 Francesco Papi , Ba-Ngu Vo , Ba-Tuong Vo , Claudio Fantacci , Michael Beard

This paper presents a general solution for computing the multi-object posterior for sets of trajectories from a sequence of multi-object (unlabelled) filtering densities and a multi-object dynamic model. Importantly, the proposed solution…

Signal Processing · Electrical Eng. & Systems 2022-07-20 Yuxuan Xia , Lennart Svensson , Ángel F. García-Fernández , Jason L. Williams , Daniel Svensson , Karl Granström

In many multiobject tracking applications, including radar and sonar tracking, after prefiltering the received signal, measurement data is typically structured in cells. The cells, e.g., represent different range and bearing values.…

Signal Processing · Electrical Eng. & Systems 2024-06-04 Thomas Kropfreiter , Jason L. Williams , Florian Meyer

The Bernoulli filter is a Bayes filter for joint detection and tracking of a target in the presence of false and miss detections. This paper presents a mathematical formulation of the Bernoulli filter in the framework of possibility theory,…

Information Theory · Computer Science 2019-11-12 Branko Ristic , Jeremie Houssineau , Sanjeev Arulampalam

In this paper, we propose two efficient, approximate formulations of the multi-sensor labelled multi-Bernoulli (LMB) filter, which both allow the sensors' measurement updates to be computed in parallel. Our first filter is based on the…

Signal Processing · Electrical Eng. & Systems 2022-07-12 S. C. J. Robertson , C. E. van Daalen , J. A. du Preez

The Poisson multi-Bernoulli mixture (PMBM) and the multi-Bernoulli mixture (MBM) are two multi-target distributions for which closed-form filtering recursions exist. The PMBM has a Poisson birth process, whereas the MBM has a…

Signal Processing · Electrical Eng. & Systems 2020-03-02 Yuxuan Xia , Karl Granström , Lennart Svensson , Ángel F. García-Fernández , Jason L. Williams

Urban intersections put high demands on fully automated vehicles, in particular, if occlusion occurs. In order to resolve such and support vehicles in unclear situations, a popular approach is the utilization of additional information from…

Signal Processing · Electrical Eng. & Systems 2019-08-07 Martin Herrmann , Johannes Müller , Jan Strohbeck , Michael Buchholz

The histogram-probabilistic multi-hypothesis tracker (H-PMHT) is a parametric approach to solving the multi-target track-before-detect (TBD) problem, using expectation maximisation (EM). A key limitation of this method is the assumption of…

Signal Processing · Electrical Eng. & Systems 2025-11-12 Lukas Herrmann , Ángel F. García-Fernández , Edmund F. Brekke

Despite their theoretical advantages, track-before-detect (TBD) methods remain largely absent from real-world multi-target tracking applications due to their computational complexity and limited scalability. This paper presents a scalable…

Signal Processing · Electrical Eng. & Systems 2025-08-25 Lukas Herrmann , Ángel F. García-Fernández , Edmund F. Brekke , Egil Eide

Much recent research on multi-target tracking has focused on multi-hypothesis approaches leveraging random finite sets. Of particular interest are labeled random finite set methods that maintain temporally coherent labels for each object.…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Pranav Balakrishnan , Sidisha Barik , Sean M. O'Rourke , Benjamin M. Marlin

This paper focuses on the joint multi-object tracking (MOT) and the estimate of detection probability with the \emph{Poisson multi-Bernoulli mixture} (PMBM) filter. In a majority of multi-object scenarios, the knowledge of detection…

Systems and Control · Electrical Eng. & Systems 2019-09-24 Guchong Li

The recently developed labeled multi-Bernoulli (LMB) filter uses better approximations in its update step, compared to the unlabeled multi-Bernoulli filters, and more importantly, it provides us with not only the estimates for the number of…

Systems and Control · Computer Science 2015-02-05 Amirali K. Gostar , Reza Hoseinnezhad , Alireza Bab-Hadiashar

This paper presents a track-before-detect labeled multi-Bernoulli filter tailored for industrial mobile platform safety applications. We derive two application specific separable likelihood functions that capture the geometric shape and…

Computer Vision and Pattern Recognition · Computer Science 2016-05-12 Tharindu Rathnayake , Reza Hoseinnezhad , Ruwan Tennakoon , Alireza Bab-Hadiashar

This paper presents a novel statistical information fusion method to integrate multiple-view sensor data in multi-object tracking applications. The proposed method overcomes the drawbacks of the commonly used Generalized Covariance…

Systems and Control · Computer Science 2017-03-01 Xiaoying Wang , Reza Hoseinnezhad , Amirali K. Gostar , Tharindu Rathnayake , Benlian Xu , Alireza Bab-Hadiashar

Tracking an unknown number of low-observable objects is notoriously challenging. This letter proposes a sequential Bayesian estimation method based on the track-before-detect (TBD) approach. In TBD, raw sensor measurements are directly used…

Signal Processing · Electrical Eng. & Systems 2023-07-04 Mingchao Liang , Thomas Kropfreiter , Florian Meyer

A large-scale multi-object tracker based on the generalised labeled multi-Bernoulli (GLMB) filter is proposed. The algorithm is capable of tracking a very large, unknown and time-varying number of objects simultaneously, in the presence of…

Computation · Statistics 2018-04-19 Michael Beard , Ba Tuong Vo , Ba-Ngu Vo

This paper proposes an efficient implementation of the generalized labeled multi-Bernoulli (GLMB) filter by combining the prediction and update into a single step. In contrast to an earlier implementation that involves separate truncations…

Computation · Statistics 2017-03-01 Ba Ngu Vo , Ba Tuong Vo , Hung Gia Hoang

This work presents a tractable approach to multi-object posterior computation under a generic measurement likelihood function. While filtering is a popular solution, valuable historical information is discarded. Posterior inference, which…

Computation · Statistics 2026-04-15 Ba Tuong Vo , Ba-Ngu Vo