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State space models in which the system state is a finite set--called the multi-object state--have generated considerable interest in recent years. Smoothing for state space models provides better estimation performance than filtering by…

Computation · Statistics 2018-05-28 Ba Tuong Vo , Ba Ngu Vo

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 provides a comparative analysis between the adaptive birth model used in the labelled random finite set literature and the track initiation in the Poisson multi-Bernoulli mixture (PMBM) filter, with point-target models. The PMBM…

Applications · Statistics 2022-07-14 Ángel F. García-Fernández , Yuxuan Xia , Lennart Svensson

This paper proposes a multi-object tracking (MOT) algorithm for traffic monitoring using a drone equipped with optical and thermal cameras. Object detections on the images are obtained using a neural network for each type of camera. The…

Computer Vision and Pattern Recognition · Computer Science 2023-08-30 Ángel F. García-Fernández , Jimin Xiao

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 ability of an autonomous vehicle to perform 3D tracking is essential for safe planing and navigation in cluttered environments. The main challenges for multi-object tracking (MOT) in autonomous driving applications reside in the…

Robotics · Computer Science 2021-03-16 Su Pang , Hayder Radha

With the increasing complexity of multiple target tracking scenes, a single sensor may not be able to effectively monitor a large number of targets. Therefore, it is imperative to extend the single-sensor technique to Multi-Sensor…

Information Theory · Computer Science 2024-01-22 Han Cai , Chenbao Xue , Jeremie Houssineau , Zhirun Xue

We propose a scalable track-before-detect (TBD) tracking method based on a Poisson/multi-Bernoulli model. To limit computational complexity, we approximate the exact multi-Bernoulli mixture posterior probability density function (pdf) by a…

Signal Processing · Electrical Eng. & Systems 2021-09-06 Thomas Kropfreiter , Jason L. Williams , Florian Meyer

This overview paper describes the particle methods developed for the implementation of the a class of Bayes filters formulated using the random finite set formalism. It is primarily intended for the readership already familiar with the…

Systems and Control · Computer Science 2016-02-15 Branko Ristic , Michael Beard , Claudio Fantacci

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

This paper proposes a computationally efficient algorithm for distributed fusion in a sensor network in which multi-Bernoulli (MB) filters are locally running in every sensor node for multi-target tracking. The generalized Covariance…

Systems and Control · Electrical Eng. & Systems 2020-02-19 Wei Yi , Suqi Li , Bailu Wang , Reza Hoseinnezhad , Lingjiang Kong

The sensor whose output is a function of the sum of contributions from targets present in the surveillance area is called superpositional sensor. In this letter, target clustering based multi-Bernoulli filter for superpositional sensors is…

Signal Processing · Electrical Eng. & Systems 2023-08-21 Wang Sen

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 propose a distributed multi-object tracking algorithm through the use of multi-Bernoulli (MB) filter based on generalized Covariance Intersection (G-CI). Our analyses show that the G-CI fusion with two MB posterior…

Systems and Control · Computer Science 2016-12-06 Bailu Wang , Wei Yi , Reza Hoseinnezhad , Suqi Li , Lingjiang Kong , Xiaobo Yang

Targets that generate multiple measurements at a given instant in time are commonly known as extended targets. These present a challenge for many tracking algorithms, as they violate one of the key assumptions of the standard measurement…

Computation · Statistics 2016-04-20 Michael Beard , Stephan Reuter , Karl Granström , Ba-Tuong Vo , Ba-Ngu Vo , Alexander Scheel

In this work, a kernel-based Ensemble Gaussian Mixture Probability Hypothesis Density (EnGM-PHD) filter is presented for multi-target filtering applications. The EnGM-PHD filter combines the Gaussian-mixture-based techniques of the Gaussian…

Machine Learning · Computer Science 2025-05-02 Dalton Durant , Renato Zanetti

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

This paper proposes multi-target filtering algorithms in which target dynamics are given in continuous time and measurements are obtained at discrete time instants. In particular, targets appear according to a Poisson point process (PPP) in…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Ángel F. García-Fernández , Simo Särkkä

Empirical Bayes methods are widely used for large-scale estimation and inference in the Poisson means problem. Existing results establish theoretical properties of the nonparametric maximum likelihood estimator (NPMLE) for optimal posterior…

Statistics Theory · Mathematics 2026-05-06 Taehyun Kim

The proximal bundle method (PBM) is a fundamental and computationally effective algorithm for solving optimization problems with nonsmooth components. In this paper, we conduct a theoretical investigation of a modified proximal bundle…

Optimization and Control · Mathematics 2025-05-13 David Fersztand , Xu Andy Sun