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The FBMS R package facilitates Bayesian model selection and model averaging in complex regression settings by employing a variety of Monte Carlo model exploration methods. At its core, the package implements an efficient Mode Jumping Markov…

统计方法学 · 统计学 2025-09-03 Florian Frommlet , Jon Lachmann , Geir Storvik , Aliaksandr Hubin

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…

系统与控制 · 电气工程与系统科学 2025-02-25 Tiancheng Li , Ruibo Yan , Kai Da , Hongqi Fan

This paper introduces the multivariate beta mixture model (MBMM), a new probabilistic model for soft clustering. MBMM adapts to diverse cluster shapes because of the flexible probability density function of the multivariate beta…

机器学习 · 计算机科学 2024-02-22 Yung-Peng Hsu , Hung-Hsuan Chen

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…

应用统计 · 统计学 2018-01-18 Ángel F. García-Fernández

Multivariate probit models (MPM) have the appealing feature of capturing some of the dependence structure between the components of multidimensional binary responses. The key for the dependence modelling is the covariance matrix of an…

统计方法学 · 统计学 2013-11-15 Giusi Moffa , Jack Kuipers

A beta-negative binomial (BNB) process is proposed, leading to a beta-gamma-Poisson process, which may be viewed as a "multi-scoop" generalization of the beta-Bernoulli process. The BNB process is augmented into a beta-gamma-gamma-Poisson…

机器学习 · 统计学 2012-02-07 Mingyuan Zhou , Lauren Hannah , David Dunson , Lawrence Carin

Proximal Markov Chain Monte Carlo is a novel construct that lies at the intersection of Bayesian computation and convex optimization, which helped popularize the use of nondifferentiable priors in Bayesian statistics. Existing formulations…

统计计算 · 统计学 2023-01-24 Qiang Heng , Hua Zhou , Eric C. Chi

The Bernoulli filter is a Bayes filter for joint detection and tracking of a target in the presence of false and miss detections. This paper presents a mathematical formulation of the Bernoulli filter in the framework of possibility theory,…

信息论 · 计算机科学 2019-11-12 Branko Ristic , Jeremie Houssineau , Sanjeev Arulampalam

The amplitude information of target returns has been incorporated into many tracking algorithms for performance improvements. One of the limitations of employing amplitude feature is that the signal-to-noise ratio (SNR) of the target, i.e.,…

信号处理 · 电气工程与系统科学 2022-09-20 Weizhen Ma , Zhongliang Jing , Peng Dong , Henry Leung

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

This paper presents a new derivation of the variational Poisson multi-Bernoulli (V-PMB) filter for multi-target estimation proposed in [#Williams15]. The proposed derivation is based on considering an augmented space that includes the set…

系统与控制 · 电气工程与系统科学 2026-05-11 Ángel F. García-Fernández , Yuxuan Xia

Advances in digital sensors, digital data storage and communications have resulted in systems being capable of accumulating large collections of data. In the light of dealing with the challenges that massive data present, this work proposes…

统计计算 · 统计学 2015-12-09 Allan De Freitas , François Septier , Lyudmila Mihaylova

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…

图像与视频处理 · 电气工程与系统科学 2025-06-26 Caden Sweeney , Du Yong Kim , Branko Ristic , Brian Cheung

We present a random finite set-based method for achieving comprehensive situation awareness by each vehicle in a distributed vehicle network. Our solution is designed for labeled multi-Bernoulli filters running in each vehicle. It involves…

信号处理 · 电气工程与系统科学 2022-09-12 James Klupacs , Amirali Khodadadian Gostar , Alireza Bab-Hadiashar , Jennifer Palmer , Reza Hosseinezhad

This paper focuses on variational inference with intractable likelihood functions that can be unbiasedly estimated. A flexible variational approximation based on Gaussian mixtures is developed, by adopting the mixture population Monte Carlo…

数值分析 · 数学 2021-12-02 Zhijian He , Shifeng Huo , Tianhui Yang

This paper presents a fully non-Gaussian version of the Hamiltonian Monte Carlo (HMC) sampling filter. The Gaussian prior assumption in the original HMC filter is relaxed. Specifically, a clustering step is introduced after the forecast…

统计计算 · 统计学 2016-08-19 Ahmed Attia , Azam Moosavi , Adrian Sandu

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

A decentralized Poisson multi-Bernoulli filter is proposed to track multiple vehicles using multiple high-resolution sensors. Independent filters estimate the vehicles' presence, state, and shape using a Gaussian process extent model; a…

多智能体系统 · 计算机科学 2024-12-20 Markus Fröhle , Karl Granström , Henk Wymeersch

In this work, a kernel-based Ensemble Gaussian Mixture Probability Hypothesis Density (EnGM-PHD) filter is presented for multi-target filtering applications. The EnGM-PHD filter combines the Gaussian-mixture-based techniques of the Gaussian…

机器学习 · 计算机科学 2025-05-02 Dalton Durant , Renato Zanetti

Gibbs sampling is one of the most popular Markov chain Monte Carlo algorithms because of its simplicity, scalability, and wide applicability within many fields of statistics, science, and engineering. In the labeled random finite sets…

系统与控制 · 电气工程与系统科学 2023-06-28 Anthony Trezza , Donald J. Bucci , Pramod K. Varshney