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Multi-object density is a fundamental descriptor of a point process and has ability to describe the randomness of number and values of objects, as well as the statistical correlation between objects. Due to its comprehensive nature, it…

Systems and Control · Computer Science 2018-05-09 Wei Yi , Suqi Li

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 an exact Bayesian filtering solution for the multi-object tracking problem with the generic observation model. The proposed solution is designed in the labeled random finite set framework, using the product styled…

Systems and Control · Computer Science 2017-10-09 Suqi Li , Wei Yi , Reza Hoseinnezhad , Bailu Wang , Lingjiang Kong

We propose an efficient random finite set (RFS) based algorithm for multiobject tracking in which the object states are modeled by a combination of a labeled multi-Bernoulli (LMB) RFS and a Poisson RFS. The less computationally demanding…

Signal Processing · Electrical Eng. & Systems 2022-04-20 Thomas Kropfreiter , Florian Meyer , Franz Hlawatsch

This paper addresses distributed multi-object tracking over a network of heterogeneous and geographically dispersed nodes with sensing, communication and processing capabilities. The main contribution is an approach to distributed…

Systems and Control · Computer Science 2016-06-10 C. Fantacci , B. -N. Vo , B. -T. Vo , G. Battistelli , L. Chisci

The Poisson multi-Bernoulli mixture (PMBM) is a multi-object conjugate prior for the closed-form Bayes random finite sets filter. The extended object PMBM filter provides a closed-form solution for multiple extended object filtering with…

Signal Processing · Electrical Eng. & Systems 2021-08-16 Yuxuan Xia , Karl Granström , Lennart Svensson , Maryam Fatemi , Ángel F. García-Fernández , Jason L. Williams

This paper presents a Poisson multi-Bernoulli mixture (PMBM) conjugate prior for multiple extended object filtering. A Poisson point process is used to describe the existence of yet undetected targets, while a multi-Bernoulli mixture…

Computation · Statistics 2019-12-09 Karl Granstrom , Maryam Fatemi , Lennart Svensson

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

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

This paper addresses multi-object systems, where objects may occlude one another relative to the sensor. The standard point-object model for detection-based sensors is enhanced so that the probability of detection considers the presence of…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Jan Krejčí , Oliver Kost , Yuxuan Xia , Lennart Svensson , Ondřej Straka

We present an efficient numerical implementation of the $\delta$-Generalized Labeled Multi-Bernoulli multi-target tracking filter. Each iteration of this filter involves an update operation and a prediction operation, both of which result…

Computation · Statistics 2017-03-01 B. -N. Vo , B. -T. Vo , D. Phung

Autonomous vehicles need precise knowledge on dynamic objects in their surroundings. Especially in urban areas with many objects and possible occlusions, an infrastructure system based on a multi-sensor setup can provide the required…

Robotics · Computer Science 2020-11-12 Martin Herrmann , Aldi Piroli , Jan Strohbeck , Johannes Müller , Michael Buchholz

This paper uses multi-object tracking methods known from the radar tracking community to address the problem of pedestrian tracking using 2D bounding box detections. The standard point-object (SPO) model is adopted, and the posterior…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Jan Krejčí , Oliver Kost , Yuxuan Xia , Lennart Svensson , Ondřej Straka

This paper proposes an efficient implementation of the multi-sensor generalized labeled multi-Bernoulli (GLMB) filter. The solution exploits the GLMB joint prediction and update together with a new technique for truncating the GLMB…

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

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

This paper shows that the Poisson multi-Bernoulli mixture (PMBM) density is a multi-target conjugate prior for general target-generated measurement distributions and arbitrary clutter distributions. That is, for this multi-target…

Applications · Statistics 2023-05-25 Ángel F. García-Fernández , Yuxuan Xia , Lennart Svensson

This paper considers the problem of the distributed fusion of multi-object posteriors in the labeled random finite set filtering framework, using Generalized Covariance Intersection (GCI) method. Our analysis shows that GCI fusion with…

Systems and Control · Computer Science 2018-02-14 Suqi Li , Wei Yi , Reza Hoseinnezhad , Giorgio Battistelli , Bailu Wang , Lingjiang Kong

The challenges in multi-object tracking mainly stem from the random variations in the cardinality and states of objects during the tracking process. Further, the information on locations where the objects appear, their detection…

Signal Processing · Electrical Eng. & Systems 2022-01-13 Cong-Thanh Do , Tran Thien Dat Nguyen , Diluka Moratuwage , Changbeom Shim , Yon Dohn Chung

In this paper we present a general solution for multi-target tracking with superpositional measurements. Measurements that are functions of the sum of the contributions of the targets present in the surveillance area are called…

Methodology · Statistics 2023-07-19 Francesco Papi , Du Yong Kim

The Poisson Multi-Bernoulli Mixture (PMBM) density is a conjugate multi-target density for the standard point target model with Poisson point process birth. This means that both the filtering and predicted densities for the set of targets…

Signal Processing · Electrical Eng. & Systems 2024-12-17 Karl Granström , Lennart Svensson , Yuxuan Xia , Jason Williams , Ángel F. García-Fernández
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