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In this paper, we present a randomized version of the finite set statistics (FISST) Bayesian recursions for multi-object tracking problems. We propose a hypothesis level derivation of the FISST equations that shows that the multi-object…

Statistics Theory · Mathematics 2016-03-15 W. Faber , S. Chakravorty , Islam I. Hussein

Accept-reject based Markov chain Monte Carlo (MCMC) algorithms have traditionally utilised acceptance probabilities that can be explicitly written as a function of the ratio of the target density at the two contested points. This feature is…

Computation · Statistics 2021-04-26 Dootika Vats , Flávio Gonçalves , Krzysztof Łatuszyński , Gareth O. Roberts

Multiobject tracking provides situational awareness that enables new applications for modern convenience, applied ocean sciences, public safety, and homeland security. In many multiobject tracking applications, including radar and sonar…

Signal Processing · Electrical Eng. & Systems 2025-04-24 Thomas Kropfreiter , Jason L. Williams , Florian Meyer

Sensors based on single spins can enable magnetic field detection with very high sensitivity and spatial resolution. Previous work has concentrated on sensing of a constant magnetic field or a periodic signal. Here, we instead investigate…

Quantum Physics · Physics 2017-06-01 Cristian Bonato , Dominic W. Berry

This paper focuses on \textit{joint detection, tracking and classification} (JDTC) of a target via multi-sensor fusion. The target can be present or not, can belong to different classes, and depending on its class can behave according to…

Signal Processing · Electrical Eng. & Systems 2021-09-24 Gaiyou Li , Ping Wei , Giorgio Battistelli , Luigi Chisci , Lin Gao

The non-homogeneous Poisson process (NHPP) is a widely used measurement model that allows for an object to generate multiple measurements over time. However, it can be difficult to efficiently and reliably track multiple objects under this…

Signal Processing · Electrical Eng. & Systems 2024-04-25 Runze Gan , Qing Li , Simon Godsill

Tracking an unknown number of low-observable objects is notoriously challenging. This letter proposes a sequential Bayesian estimation method based on the track-before-detect (TBD) approach. In TBD, raw sensor measurements are directly used…

Signal Processing · Electrical Eng. & Systems 2023-07-04 Mingchao Liang , Thomas Kropfreiter , Florian Meyer

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

A Bernoulli Mixture Model (BMM) is a finite mixture of random binary vectors with independent dimensions. The problem of clustering BMM data arises in a variety of real-world applications, ranging from population genetics to activity…

Machine Learning · Computer Science 2019-06-18 Amir Najafi , Abolfazl Motahari , Hamid R. Rabiee

In the target tracking and its engineering applications, recursive state estimation of the target is of fundamental importance. This paper presents a recursive performance bound for dynamic estimation and filtering problem, in the framework…

Applications · Statistics 2015-06-04 Huisi Tong , Hao Zhang , Huadong Meng , Xiqin Wang

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 the original approach which involves separate truncations in…

Computation · Statistics 2015-07-06 Hung Gia Hoang , Ba-Tuong Vo , Ba-Ngu Vo

Accurate fetal birth weight prediction is a cornerstone of prenatal care, yet traditional methods often rely on imaging technologies that remain inaccessible in resource-limited settings. This study presents a novel machine learning-based…

In modern computer experiment applications, one often encounters the situation where various models of a physical system are considered, each implemented as a simulator on a computer. An important question in such a setting is determining…

Methodology · Statistics 2023-05-08 John C. Yannotty , Thomas J. Santner , Richard J. Furnstahl , Matthew T. Pratola

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

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 considers a batch solution to the multi-object tracking problem based on sets of trajectories. Specifically, we present two offline implementations of the trajectory Poisson multi-Bernoulli mixture (TPMBM) filter for batch data…

Signal Processing · Electrical Eng. & Systems 2024-06-25 Yuxuan Xia , Ángel F. García-Fernández , Lennart Svensson

To quantify how well theoretical predictions of structural ensembles agree with experimental measurements, we depend on the accuracy of forward models. These models are computational frameworks that generate observable quantities from…

Biological Physics · Physics 2025-11-04 Robert M. Raddi , Tim Marshall , Vincent A. Voelz

We exploit a suitable moment-based characterization of the mixture of Poisson distribution for developing Bayesian inference for the unknown size of a finite population whose units are subject to multiple occurrences during an enumeration…

Methodology · Statistics 2018-06-19 Danilo Alunni Fegatelli , Luca Tardella

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

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