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In recent work it is shown that importance sampling can be avoided in the particle filter through an innovation structure inspired by traditional nonlinear filtering combined with Mean-Field Game formalisms. The resulting feedback particle…

Numerical Analysis · Mathematics 2016-11-18 Tao Yang , Richard S. Laugesen , Prashant G. Mehta , Sean P. Meyn

This paper is concerned with the problem of continuous-time nonlinear filtering for stochastic processes on a compact and connected matrix Lie group without boundary, e.g. SO(n) and SE(n), in the presence of real-valued observations. This…

Optimization and Control · Mathematics 2015-10-06 Chi Zhang , Amirhossein Taghvaei , Prashant G. Mehta

Feedback particle filter (FPF) is a numerical algorithm to approximate the solution of the nonlinear filtering problem in continuous-time settings. In any numerical implementation of the FPF algorithm, the main challenge is to numerically…

Optimization and Control · Mathematics 2019-10-01 Amirhossein Taghvaei , Prashant G. Mehta , Sean P. Meyn

In this paper, we propose a novel structural correlation filter combined with a multi-task Gaussian particle filter (KCF-GPF) model for robust visual tracking. We first present an assemble structure where several KCF trackers as weak…

Computer Vision and Pattern Recognition · Computer Science 2018-03-18 Manna Dai , Shuying Cheng , Xiangjian He , Dadong Wang

Particle probability hypothesis density filtering has become a promising means for multi-target tracking due to its capability of handling an unknown and time-varying number of targets in non-linear non-Gaussian system. However, its…

Computation · Statistics 2015-03-13 Wang Junjie , Zhao Lingling , Su Xiaohong , Ma Peijun

Autonomous systems such as Unmanned Aerial Vehicles (UAVs) need to be able to recognise and track crowds of people, e.g. for rescuing and surveillance purposes. Large groups generate multiple measurements with uncertain origin.…

We introduce a framework for Data Assimilation (DA) in which the data is split into multiple sets corresponding to low-rank projections of the state space. Algorithms are developed that assimilate some or all of the projected data,…

Computation · Statistics 2020-05-19 John Maclean , Erik S Van Vleck

Particle filtering for target tracking using multi-input multi-output (MIMO) pulse-Doppler radars faces three long-standing obstacles: a) the absence of reliable likelihood models for raw radar data; b) the computational and statistical…

Signal Processing · Electrical Eng. & Systems 2025-12-11 Shixiong Wang , Wei Dai , Geoffrey Ye Li

Multi-Target Tracking (MTT) is foundational for radar, defense, and autonomous systems, where tracking accuracy directly affects decision-making and safety. For linear systems with Gaussian process and measurement noise, the Kalman filter…

Optimization and Control · Mathematics 2025-11-05 Priyank Behera , C. Robert Kenley

We propose a method for tracking an unknown number of targets based on measurements provided by multiple sensors. Our method achieves low computational complexity and excellent scalability by running belief propagation on a suitably devised…

Data Structures and Algorithms · Computer Science 2017-05-24 Florian Meyer , Paolo Braca , Peter Willett , Franz Hlawatsch

This paper proposes a visual multi-object tracking method that jointly employs stochastic and deterministic mechanisms to ensure identifier consistency for unknown and time-varying target numbers under nonlinear dynamics. A stochastic…

Computer Vision and Pattern Recognition · Computer Science 2026-02-11 Toan Van Nguyen , Rasmus G. K. Christiansen , Dirk Kraft , Leon Bodenhagen

This paper is concerned with the filtering problem in continuous-time. Three algorithmic solution approaches for this problem are reviewed: (i) the classical Kalman-Bucy filter which provides an exact solution for the linear Gaussian…

Optimization and Control · Mathematics 2017-12-22 Amirhossein Taghvaei , Jana de Wiljes , Prashant G. Mehta , Sebastian Reich

This paper proposes a novel particle filter for tracking time-varying states of multiple targets jointly from superpositional data, which depend on the sum of contributions of all targets. Many conventional tracking methods rely on…

Signal Processing · Electrical Eng. & Systems 2020-08-26 Nobutaka Ito , Simon Godsill

Dynamic statistical process monitoring methods have been widely studied and applied in modern industrial processes. These methods aim to extract the most predictable temporal information and develop the corresponding dynamic monitoring…

Methodology · Statistics 2022-11-10 Wei Fan , Qinqin Zhu , Shaojun Ren , Liang Zhang , Fengqi Si

Most multi-target tracking filters assume that one target and its observation follow a Hidden Markov Chain (HMC) model, but the implicit independence assumption of HMC model is invalid in many practical applications, and a Pairwise Markov…

Signal Processing · Electrical Eng. & Systems 2018-11-30 Jiangyi Liu , Chunping Wang , Wei Wang

The evolution of Advanced Driver Assistance Systems (ADAS) has increased the need for robust and generalizable algorithms for multi-object tracking. Traditional statistical model-based tracking methods rely on predefined motion models and…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Leandro Di Bella , Yangxintong Lyu , Bruno Cornelis , Adrian Munteanu

We present a modelling framework for multi-target tracking based on possibility theory and illustrate its ability to account for the general lack of knowledge that the target-tracking practitioner must deal with when working with real data.…

Methodology · Statistics 2021-03-10 Jeremie Houssineau

This paper is concerned with multi-modal data fusion (MMDF) under unexpected modality failures in nonlinear non-Gaussian dynamic processes. An efficient framework to tackle this problem is proposed. In particular, a notion termed modality…

Machine Learning · Computer Science 2021-11-24 Bin Liu

Three-dimensional tracking of multiple objects from multiple views has a wide range of applications, especially in the study of bio-cluster behavior which requires precise trajectories of research objects. However, there are significant…

Computer Vision and Pattern Recognition · Computer Science 2023-09-27 Nianhao Xie

This paper is concerned with the convergence and long-term stability analysis of the feedback particle filter (FPF) algorithm. The FPF is an interacting system of $N$ particles where the interaction is designed such that the empirical…

Probability · Mathematics 2018-09-24 Amirhossein Taghvaei , Prashant G. Mehta