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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…

统计理论 · 数学 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…

统计计算 · 统计学 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…

信号处理 · 电气工程与系统科学 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…

量子物理 · 物理学 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…

信号处理 · 电气工程与系统科学 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…

信号处理 · 电气工程与系统科学 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…

信号处理 · 电气工程与系统科学 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…

信号处理 · 电气工程与系统科学 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…

机器学习 · 计算机科学 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…

应用统计 · 统计学 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…

统计计算 · 统计学 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…

统计方法学 · 统计学 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…

统计方法学 · 统计学 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…

应用统计 · 统计学 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…

信号处理 · 电气工程与系统科学 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…

生物物理 · 物理学 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…

统计方法学 · 统计学 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…

统计方法学 · 统计学 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…

统计方法学 · 统计学 2016-03-22 Meng Jiang , Wei Yi , Reza Hoseinnezhad , Lingjiang Kong