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The probability hypothesis density (PHD) and multi-target multi-Bernoulli (MeMBer) filters are two leading algorithms that have emerged from random finite sets (RFS). In this paper we study a method which combines these two approaches. Our…

Systems and Control · Computer Science 2015-03-20 Jason L. Williams

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

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

This paper presents the probability hypothesis density (PHD) filter for sets of trajectories: the trajectory probability density (TPHD) filter. The TPHD filter is capable of estimating trajectories in a principled way without requiring to…

Applications · Statistics 2018-09-14 Ángel F. García-Fernández , Lennart Svensson

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

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 proposes a new multi-Bernoulli filter called the Adaptive Labeled Multi-Bernoulli filter. It combines the relative strengths of the known Delta-Generalized Labeled Multi-Bernoulli and the Labeled Multi-Bernoulli filter. The…

Systems and Control · Computer Science 2018-12-24 Andreas Danzer , Stephan Reuter , Klaus Dietmayer

The trajectory probability hypothesis density filter (TPHD) is capable of producing trajectory estimates in first principle without adding labels or tags. In this paper, we propose a new TPHD filter referred as MM-TPHD for jump Markov…

Signal Processing · Electrical Eng. & Systems 2020-11-10 Boxiang Zhang , Wei Yi

This paper presents an efficient implementation of the extended object Poisson multi-Bernoulli (PMB) filter under the zero-inflated Poisson (ZIP) object measurement model using particle belief propagation (BP). The ZIP measurement model…

Signal Processing · Electrical Eng. & Systems 2026-05-26 Yuxuan Xia , Xueqi Qiu , Hyowon Kim , Chaoqun Yang

This paper proposes a smooth-trajectory estimator for the labelled multi-Bernoulli (LMB) filter by exploiting the special structure of the generalised labelled multi-Bernoulli (GLMB) filter. We devise a simple and intuitive approach to…

Signal Processing · Electrical Eng. & Systems 2024-01-17 Hoa Van Nguyen , Tran Thien Dat Nguyen , Changbeom Shim , Marzhar Anuar

This paper proposes the Trajectory-Information Exchange Multi-Bernoulli (T-IEMB) filter to estimate sets of alive and all trajectories in track-before-detect applications with generalised superpositional measurements. This measurement model…

Signal Processing · Electrical Eng. & Systems 2026-02-03 Sion Lynch , Ángel F. García-Fernández , Lee Devlin

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 develops a general trajectory probability hypothesis density (TPHD) filter, which uses a general density for target-generated measurements and is able to estimate trajectories of coexisting point and extended targets. First, we…

Signal Processing · Electrical Eng. & Systems 2026-03-17 Shaoxiu Wei , Ángel F. García-Fernández , Wei Yi

A multiple maneuvering target system can be viewed as a Jump Markov System (JMS) in the sense that the target movement can be modeled using different motion models where the transition between the motion models by a particular target…

Methodology · Statistics 2016-03-16 Yuthika Punchihewa , Ba-Ngu Vo , Ba-Tuong Vo

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

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

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 paper presents a solution for recovering full trajectory information, via the calculation of the posterior of the set of trajectories, from a sequence of multitarget (unlabelled) filtering densities and the multitarget dynamic model.…

Signal Processing · Electrical Eng. & Systems 2021-02-23 Yuxuan Xia , Lennart Svensson , Ángel F. García-Fernández , Karl Granström , Jason L. Williams

This paper presents a sensor-control method for choosing the best next state of the sensor(s), that provide(s) accurate estimation results in a multi-target tracking application. The proposed solution is formulated for a multi-Bernoulli…

Systems and Control · Computer Science 2015-03-26 Amirali K. Gostar , Reza Hoseinnezhad , Alireza Bab-Hadiashar

Multi-target tracking in the maritime domain is a challenging problem due to the non-Gaussian and fluctuating characteristics of sea clutter. This article investigates the use of machine learning (ML) to the detection and tracking of low…

Image and Video Processing · Electrical Eng. & Systems 2025-06-26 Caden Sweeney , Du Yong Kim , Branko Ristic , Brian Cheung