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This paper proposes an online visual multi-object tracking algorithm using a top-down Bayesian formulation that seamlessly integrates state estimation, track management, clutter rejection, occlusion and mis-detection handling into a single…

Computer Vision and Pattern Recognition · Computer Science 2017-08-07 Du Yong Kim , Ba-Ngu Vo , Ba-Tuong Vo

In many real problems, dependence structures more general than exchangeability are required. For instance, in some settings partial exchangeability is a more reasonable assumption. For this reason, vectors of dependent Bayesian…

Methodology · Statistics 2018-03-20 Alan Riva Palacio , Fabrizio Leisen

Appropriate modeling of a surveillance scene is essential for detection of anomalies in road traffic. Learning usual paths can provide valuable insight into road traffic conditions and thus can help in identifying unusual routes taken by…

Computer Vision and Pattern Recognition · Computer Science 2019-06-18 Santhosh Kelathodi Kumaran , Debi Prosad Dogra , Partha Pratim Roy , Bidyut Baran Chaudhuri

In real world machine learning applications, testing data may contain some meaningful new categories that have not been seen in labeled training data. To simultaneously recognize new data categories and assign most appropriate category…

Machine Learning · Computer Science 2019-10-11 Changying Du , Fuzhen Zhuang , Jia He , Qing He , Guoping Long

We consider the problem of analyzing multivariate time series collected on multiple subjects, with the goal of identifying groups of subjects exhibiting similar trends in their recorded measurements over time as well as time-varying groups…

Bayesian models based on the Dirichlet process and other stick-breaking priors have been proposed as core ingredients for clustering, topic modeling, and other unsupervised learning tasks. Prior specification is, however, relatively…

Methodology · Statistics 2021-10-27 Ryan Giordano , Runjing Liu , Michael I. Jordan , Tamara Broderick

Real-world autonomous systems operate under uncertainty about both their pose and dynamics. Autonomous control systems must simultaneously perform estimation and control tasks to maintain robustness to changing dynamics or modeling errors.…

Systems and Control · Computer Science 2018-08-03 Patrick Slade , Zachary N. Sunberg , Mykel J. Kochenderfer

This paper derives the optimal Bayesian processing of an out-of-sequence (OOS) set of measurements in continuous-time for multiple target tracking. We consider a multi-target system modelled in continuous time that is discretised at the…

Systems and Control · Electrical Eng. & Systems 2021-09-02 Ángel F. García-Fernández , Wei Yi

This paper develops a novel sequential Monte Carlo (SMC) approach for joint state and parameter estimation that can deal efficiently with abruptly changing parameters which is a common case when tracking maneuvering targets. The approach…

Computation · Statistics 2015-10-12 Christopher Nemeth , Paul Fearnhead , Lyudmila Mihaylova

This paper addresses the issue of detecting change-points in multivariate time series. The proposed approach differs from existing counterparts by making only weak assumptions on both the change-points structure across series, and the…

Methodology · Statistics 2014-07-14 Flore Harlé , Florent Chatelain , Cédric Gouy-Pailler , Sophie Achard

Datasets containing large samples of time-to-event data arising from several small heterogeneous groups are commonly encountered in statistics. This presents problems as they cannot be pooled directly due to their heterogeneity or analyzed…

Machine Learning · Statistics 2016-12-05 Alexandre Piché , Russell Steele , Ian Shrier , Stephanie Long

The problem of tracking multiple objects in a video sequence poses several challenging tasks. For tracking-by-detection, these include object re-identification, motion prediction and dealing with occlusions. We present a tracker (without…

Computer Vision and Pattern Recognition · Computer Science 2021-04-30 Philipp Bergmann , Tim Meinhardt , Laura Leal-Taixe

This paper addresses the problem of real-time detection and tracking of a non-cooperative target in the challenging scenario with almost no a-priori information about target birth, death, dynamics and detection probability. Furthermore,…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Tiancheng Li , Yan Song , Hongqi Fan

Non-Bayesian social learning enables multiple agents to conduct networked signal and information processing through observing environmental signals and information aggregating. Traditional non-Bayesian social learning models only consider…

Social and Information Networks · Computer Science 2024-07-31 Dongyan Sui , Weichen Cao , Stefan Vlaski , Chun Guan , Siyang Leng

Bayesian methods have been very successful in quantifying uncertainty in physics-based problems in parameter estimation and prediction. In these cases, physical measurements y are modeled as the best fit of a physics-based model…

Data Analysis, Statistics and Probability · Physics 2015-02-06 Dave Higdon , Jordan D. McDonnell , Nicolas Schunck , Jason Sarich , Stefan M. Wild

Clustering multivariate binary data is of interest in many scientific fields, including ecology, biomedicine, and social policy. Beyond heuristic clustering algorithms, such data can be modelled using multivariate Bernoulli mixture models.…

Methodology · Statistics 2026-04-24 Luisa Ferrari , Maria Franco Villoria , Garritt L. Page , Alex Laini

In this article, using kernel convolution of order based dependent Dirichlet process (Griffin and Steel (2006)) we construct a nonstationary, nonseparable, nonparametric space-time process, which, as we show, satisfies desirable properties,…

Methodology · Statistics 2020-05-04 Moumita Das , Sourabh Bhattacharya

We present a method for identification of models with good predictive performances in the family of Bayesian log-linear mixed models with Dirichlet process random effects. Such a problem arises in many different applications; here we…

Methodology · Statistics 2018-01-17 Cinzia Carota , Maurizio Filippone , Silvia Polettini

Dependent nonparametric processes extend distributions over measures, such as the Dirichlet process and the beta process, to give distributions over collections of measures, typically indexed by values in some covariate space. Such models…

Machine Learning · Statistics 2012-11-21 Nicholas J. Foti , Sinead Williamson

In this paper, a novel approach is proposed for multi-target joint detection, tracking and classification based on the labeled random finite set and generalized Bayesian risk using Radar and ESM sensors. A new Bayesian risk is defined for…

Signal Processing · Electrical Eng. & Systems 2018-07-09 Minzhe Li , Zhongliang Jing