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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

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

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

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 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

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

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

The generalized labeled multi-Bernoulli (GLMB) filter is a theoretically rigorous Bayes-optimal multitarget tracking algorithm with computationally tractable implementations, based on labeled random finite set (LRFS) theory. It presumes…

Methodology · Statistics 2025-06-04 Ronald Mahler

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 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

Generalized Labeled Multi-Bernoulli (GLMB) densities arise in a host of multi-object system applications analogous to Gaussians in single-object filtering. However, computing the GLMB filtering density requires solving NP-hard problems. To…

Machine Learning · Statistics 2023-12-29 Changbeom Shim , Ba-Tuong Vo , Ba-Ngu Vo , Jonah Ong , Diluka Moratuwage

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

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

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

As a fundamental piece of multi-object Bayesian inference, multi-object density has the ability to describe the uncertainty of the number and values of objects, as well as the statistical correlation between objects, thus perfectly matches…

Systems and Control · Computer Science 2016-03-29 Suqi Li , Wei Yi , Bailu Wang , Lingjiang Kong

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

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

This paper proposes an efficient and robust algorithm to estimate target trajectories with unknown target detection profiles and clutter rates using measurements from multiple sensors. In particular, we propose to combine the multi-sensor…

Signal Processing · Electrical Eng. & Systems 2021-11-04 Cong-Thanh Do , Tran Thien Dat Nguyen , Hoa Van Nguyen

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

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
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