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This paper provides a scalable, multi-sensor measurement adaptive track initiation technique for labeled random finite set filters. A naive construction of the multi-sensor measurement adaptive birth set distribution leads to an exponential…

Signal Processing · Electrical Eng. & Systems 2022-05-02 Anthony Trezza , Donald J. Bucci , Pramod K. Varshney

This paper proposes an efficient implementation of the Poisson multi-Bernoulli mixture (PMBM) trajectory filter. The proposed implementation performs track-oriented N-scan pruning to limit complexity, and uses dual decomposition to solve…

Signal Processing · Electrical Eng. & Systems 2018-11-30 Yuxuan Xia , Karl Granström , Lennart Svensson , Ángel F. García-Fernández

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

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

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 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

This paper presents two trajectory Poisson multi-Bernoulli (TPMB) filters for multi-target tracking: one to estimate the set of alive trajectories at each time step and another to estimate the set of all trajectories, which includes alive…

Computer Vision and Pattern Recognition · Computer Science 2020-09-18 Ángel F. García-Fernández , Lennart Svensson , Jason L. Williams , Yuxuan Xia , Karl Granström

High-resolution radar sensors are critical for autonomous systems but pose significant challenges to traditional tracking algorithms due to the generation of multiple measurements per object and the presence of multipath effects. Existing…

Signal Processing · Electrical Eng. & Systems 2026-03-10 Guanhua Ding , Qinchen Wu , Jinping Sun , Yanping Wang , Bing Zhu , Guoqiang Mao

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

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

The multi-target Bayes filter proposed by Mahler is a principled solution to recursive Bayesian tracking based on RFS or FISST. The $\delta$-GLMB filter is an exact closed form solution to the multi-target Bayes recursion which yields joint…

Computation · Statistics 2017-04-12 C. Fantacci , B. -T. Vo , F. Papi , B. -N. Vo

If computational tractability were not an issue, multi-object estimation should integrate all measurements from multiple sensors across multiple scans. In this article, we propose an efficient numerical solution to the multi-scan…

Computational Engineering, Finance, and Science · Computer Science 2022-12-05 D. Moratuwage , B. -N. Vo , B. -T. Vo , C. Shim

Multi-target state estimation refers to estimating the number of targets and their trajectories in a surveillance area using measurements contaminated with noise and clutter. In the Bayesian paradigm, the most common approach to…

Computers and Society · Computer Science 2022-10-11 Diluka Moratuwage , Changbeom Shim , Yuthika Punchihewa

The paper addresses distributed multi-target tracking in the framework of generalized Covariance Intersection (GCI) over multistatic radar system. The proposed method is based on the unlabeled version of generalized labeled multi-Bernoulli…

Methodology · Statistics 2016-03-22 Meng Jiang , Wei Yi , Reza Hoseinnezhad , Lingjiang Kong

In multi-object stochastic systems, the issue of sensor management is a theoretically and computationally challenging problem. In this paper, we present a novel random finite set (RFS) approach to the multi-target sensor management problem…

Systems and Control · Computer Science 2014-04-14 Hung Gia Hoang , Ba Tuong Vo

In this paper, we propose a Poisson multi-Bernoulli (PMB) filter for extended object tracking (EOT), which directly estimates the set of object trajectories, using belief propagation (BP). The proposed filter propagates a PMB density on the…

Signal Processing · Electrical Eng. & Systems 2023-09-20 Yuxuan Xia , Ángel F. García-Fernández , Florian Meyer , Jason L. Williams , Karl Granström , Lennart Svensson

A decentralized Poisson multi-Bernoulli filter is proposed to track multiple vehicles using multiple high-resolution sensors. Independent filters estimate the vehicles' presence, state, and shape using a Gaussian process extent model; a…

Multiagent Systems · Computer Science 2024-12-20 Markus Fröhle , Karl Granström , Henk Wymeersch

In recent years, Bayes filter methods in the labeled random finite set formulation have become increasingly powerful in the multi-target tracking domain. One of the latest outcomes is the Generalized Labeled Multi-Bernoulli (GLMB) filter…

Signal Processing · Electrical Eng. & Systems 2020-07-13 David Meister , Martin F. Holder , Hermann Winner

We introduce a probabilistic approach to the LMS filter. By means of an efficient approximation, this approach provides an adaptable step-size LMS algorithm together with a measure of uncertainty about the estimation. In addition, the…

Machine Learning · Statistics 2016-04-11 Jesus Fernandez-Bes , Víctor Elvira , Steven Van Vaerenbergh

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