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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

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

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 an efficient implementation of the generalized labeled multi-Bernoulli (GLMB) filter by combining the prediction and update into a single step. In contrast to an earlier implementation that involves separate truncations…

Computation · Statistics 2017-03-01 Ba Ngu Vo , Ba Tuong Vo , Hung Gia Hoang

In this paper, we propose two efficient, approximate formulations of the multi-sensor labelled multi-Bernoulli (LMB) filter, which both allow the sensors' measurement updates to be computed in parallel. Our first filter is based on the…

Signal Processing · Electrical Eng. & Systems 2022-07-12 S. C. J. Robertson , C. E. van Daalen , J. A. du Preez

This paper proposes an on-line multiple object tracking algorithm that can operate in unknown background. In a majority of multiple object tracking applications, model parameters for background processes such as clutter and detection are…

Other Statistics · Statistics 2018-05-23 Yuthika Punchihewa , Ba-Tuong Vo , Ba-Ngu Vo , Du Yong Kim

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

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

Previous labeled random finite set filter developments use a motion model that only accounts for survival and birth. While such a model provides the means for a multi-object tracking filter such as the Generalized Labeled Multi-Bernoulli…

Computation · Statistics 2018-11-14 Daniel S. Bryant , Ba Tuong Vo , Ba Ngu Vo , Brandon A. Jones

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

In this paper we derive a multi-sensor multi-Bernoulli (MS-MeMBer) filter for multi-target tracking. Measurements from multiple sensors are employed by the proposed filter to update a set of tracks modeled as a multi-Bernoulli random finite…

Methodology · Statistics 2017-10-11 Augustin-Alexandru Saucan , Mark Coates , Michael Rabbat

The Poisson multi-Bernoulli mixture (PMBM) is a multi-object conjugate prior for the closed-form Bayes random finite sets filter. The extended object PMBM filter provides a closed-form solution for multiple extended object filtering with…

Signal Processing · Electrical Eng. & Systems 2021-08-16 Yuxuan Xia , Karl Granström , Lennart Svensson , Maryam Fatemi , Ángel F. García-Fernández , Jason L. Williams

This article presents the Labeled Random Finite Set (LRFS) framework for multi-object systems-systems in which the number of objects and their states are unknown and vary randomly with time. In particular, we focus on state and trajectory…

Signal Processing · Electrical Eng. & Systems 2024-11-11 Ba-Ngu Vo , Ba-Tuong Vo , Tran Thien Dat Nguyen , Changbeom Shim

This paper addresses the mapping problem. Using a conjugate prior form, we derive the exact theoretical batch multi-object posterior density of the map given a set of measurements. The landmarks in the map are modeled as extended objects,…

Machine Learning · Statistics 2018-11-09 Maryam Fatemi , Karl Granström , Lennart Svensson , Francisco J. R. Ruiz , Lars Hammarstrand

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

This paper uses multi-object tracking methods known from the radar tracking community to address the problem of pedestrian tracking using 2D bounding box detections. The standard point-object (SPO) model is adopted, and the posterior…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Jan Krejčí , Oliver Kost , Yuxuan Xia , Lennart Svensson , Ondřej Straka

Tracking multiple objects through time is an important part of an intelligent transportation system. Random finite set (RFS)-based filters are one of the emerging techniques for tracking multiple objects. In multi-object tracking (MOT), a…

Signal Processing · Electrical Eng. & Systems 2022-04-20 Nida Ishtiaq , Amirali Khodadadian Gostar , Alireza Bab-Hadiashar , Reza Hoseinnezhad

The class of Labeled Random Finite Set filters known as the delta-Generalized Labeled Multi-Bernoulli (dGLMB) filter represents the filtering density as a set of weighted hypotheses, with each hypothesis consisting of a set of labeled…

Signal Processing · Electrical Eng. & Systems 2021-08-10 Lingji Chen

We report the application of implicit likelihood inference to the prediction of the macro-parameters of strong lensing systems with neural networks. This allows us to perform deep learning analysis of lensing systems within a well-defined…

Instrumentation and Methods for Astrophysics · Physics 2023-01-25 Ronan Legin , Yashar Hezaveh , Laurence Perreault-Levasseur , Benjamin Wandelt

We study the Kullback--Leibler (KL) divergence approximation theory of Gaussian mixture models (GMMs) by isolating an abstract mechanism behind several necessary-and-sufficient statements. The necessity direction is universal: if a density…

Statistics Theory · Mathematics 2026-04-14 Hien Duy Nguyen