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The pair correlation function is introduced to target tracking filters that use a finite point process target model as a means to investigate interactions in the Bayes posterior target process. It is shown that the Bayes posterior target…

Applications · Statistics 2016-06-07 Ali Onder Bozdogan , Roy Streit , Murat Efe

This paper defines and implements a non-Bayesian fusion rule for combining densities of probabilities estimated by local (non-linear) filters for tracking a moving target by passive sensors. This rule is the restriction to a strict…

Multiple object tracking faces several challenges that may be alleviated with trajectory information. Knowing the posterior locations of an object helps disambiguating and solving situations such as occlusions, re-identification, and…

Computer Vision and Pattern Recognition · Computer Science 2021-06-23 Andreu Girbau , Xavier Giró-i-Nieto , Ignasi Rius , Ferran Marqués

Predicting human trajectories is a challenging task due to the complexity of pedestrian behavior, which is influenced by external factors such as the scene's topology and interactions with other pedestrians. A special challenge arises from…

Physics and Society · Physics 2023-07-31 Raphael Korbmacher , Huu-Tu Dang , Antoine Tordeux

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

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

The family of pointillist multitarget tracking filters is defined to be the class of filters that is characterized by a joint target-measurement finite point process. The probability generating functional (PGFL) of the joint process is…

Applications · Statistics 2015-06-22 Roy Streit , Christoph Degen , Wolfgang Koch

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

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 addresses multi-object systems, where objects may occlude one another relative to the sensor. The standard point-object model for detection-based sensors is enhanced so that the probability of detection considers the presence of…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Jan Krejčí , Oliver Kost , Yuxuan Xia , Lennart Svensson , Ondřej Straka

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 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

Particle filters flexibly represent multiple posterior modes nonparametrically, via a collection of weighted samples, but have classically been applied to tracking problems with known dynamics and observation likelihoods. Such generative…

Machine Learning · Computer Science 2024-04-16 Ali Younis , Erik Sudderth

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

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 new framework that extends the standard Probability Hypothesis Density (PHD) filter for multiple targets having $N\geq2$ different types based on Random Finite Set theory, taking into account not only background clutter, but…

Computer Vision and Pattern Recognition · Computer Science 2019-02-05 Nathanael L. Baisa , Andrew Wallace

Grouped data are commonly encountered in applications. The Bernstein polynomial model is proposed as an approximate model in this paper for estimating a univariate density function based on grouped data. The coefficients of the Bernstein…

Methodology · Statistics 2015-07-21 Zhong Guan

Multitarget tracking in the interference environments suffers from the nonuniform, unknown and time-varying clutter, resulting in dramatic performance deterioration. We address this challenge by proposing a robust multitarget tracking…

Systems and Control · Electrical Eng. & Systems 2022-12-15 Xianglong Bai , Hua Lan , Zengfu Wang , Quan Pan , Yuhang Hao , Can Li

Millimeter wave (mmWave) signals are useful for simultaneous localization and mapping (SLAM), due to their inherent geometric connection to the propagation environment and the propagation channel. To solve the SLAM problem, existing…

Signal Processing · Electrical Eng. & Systems 2021-09-09 Yu Ge , Ossi Kaltiokallio , Hyowon Kim , Fan Jiang , Jukka Talvitie , Mikko Valkama , Lennart Svensson , Sunwoo Kim , Henk Wymeersch

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
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