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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

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

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 proposes a heterogenous density fusion approach to scalable multisensor multitarget tracking where the inter-connected sensors run different types of random finite set (RFS) filters according to their respective capacity and…

Systems and Control · Electrical Eng. & Systems 2025-02-25 Tiancheng Li , Ruibo Yan , Kai Da , Hongqi Fan

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

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

5G millimeter wave (mmWave) signals have inherent geometric connections to the propagation channel and the propagation environment. Thus, they can be used to jointly localize the receiver and map the propagation environment, which is termed…

Signal Processing · Electrical Eng. & Systems 2021-12-07 Yu Ge , Yibo Wu , Fan Jiang , Ossi Kaltiokallio , Jukka Talvitie , Mikko Valkama , Lennart Svensson , Henk Wymeersch

This paper proposes a unified tree-reweighted belief propagation (BP) and mean field (MF) approach for scalable detection and tracking of extended targets within the framework of factor graph. The factor graph is partitioned into a BP…

Signal Processing · Electrical Eng. & Systems 2024-12-30 Weizhen Ma , Zhongliang Jing , Peng Dong , Henry Leung

This paper presents a multitarget tracking particle filter (PF) for general track-before-detect measurement models. The PF is presented in the random finite set framework and uses a labelled multi-Bernoulli approximation. We also present a…

Applications · Statistics 2018-01-18 Ángel F. García-Fernández

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

In this paper we introduce spatiotemporal constraints for trajectories, i.e., restrictions that the trajectory must be in some part of the state space (spatial constraint) at some point in time (temporal constraint). Spatiotemporal…

Signal Processing · Electrical Eng. & Systems 2020-03-02 Karl Granström , Lennart Svensson , Yuxuan Xia , Angel F. Garcia-Fernandez , Jason Williams

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

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

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

The particle Gibbs sampler is a Markov chain Monte Carlo (MCMC) algorithm to sample from the full posterior distribution of a state-space model. It does so by executing Gibbs sampling steps on an extended target distribution defined on the…

Computation · Statistics 2015-07-29 Nicolas Chopin , Sumeetpal S. Singh

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

Bayesian hierarchical Poisson models are an essential tool for analyzing count data. However, designing efficient algorithms to sample from the posterior distribution of the target parameters remains a challenging task for this class of…

Methodology · Statistics 2025-02-10 Aldo Gardini , Fedele Greco , Carlo Trivisano

Multiple extended target tracking (ETT) has gained increasing attention due to the development of high-precision LiDAR and radar sensors in automotive applications. For LiDAR point cloud-based vehicle tracking, this paper presents a…

Signal Processing · Electrical Eng. & Systems 2024-05-21 Guanhua Ding , Jianan Liu , Yuxuan Xia , Tao Huang , Bing Zhu , Jinping Sun

This paper derives the optimal Bayesian processing of an out-of-sequence (OOS) set of measurements in continuous-time for multiple target tracking. We consider a multi-target system modelled in continuous time that is discretised at the…

Systems and Control · Electrical Eng. & Systems 2021-09-02 Ángel F. García-Fernández , Wei Yi

Mixture models are a standard tool in statistical analyses, widely used for density modeling and model-based clustering. In this work, we propose a Bayesian mixture model with repulsion between mixture components. Such repulsion helps…

Methodology · Statistics 2026-02-24 Hanxi Sun , Boqian Zhang , Minhyeok Kim , Vinayak Rao