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This paper introduces a novel feedback-control based particle filter for the solution of the filtering problem with data association uncertainty. The particle filter is referred to as the joint probabilistic data association-feedback…

Numerical Analysis · Mathematics 2013-03-07 Tao Yang , Geng Huang , Prashant G. Mehta

In this work, we develop tracking and estimation techniques relevant to underwater targets. Particularly, we explore particle filtering techniques for target tracking. It is a numerical approximation method for implementing a recursive…

Signal Processing · Electrical Eng. & Systems 2019-10-11 T M Feroz Ali

In this paper, we derive a new Kalman filter with probabilistic data association between measurements and states. We formulate a variational inference problem to approximate the posterior density of the state conditioned on the measurement…

Computer Vision and Pattern Recognition · Computer Science 2025-09-08 Hanwen Cao , George J. Pappas , Nikolay Atanasov

In this paper, a novel feedback control-based particle filter algorithm for the continuous-time stochastic hybrid system estimation problem is presented. This particle filter is referred to as the interacting multiple model-feedback…

Numerical Analysis · Mathematics 2013-05-28 Tao Yang , Henk A. P. Blom , Prashant G. Mehta

Multi-target tracking is an important problem in civilian and military applications. This paper investigates multi-target tracking in distributed sensor networks. Data association, which arises particularly in multi-object scenarios, can be…

Multiagent Systems · Computer Science 2018-12-04 Mark R. Leonard , Abdelhak M. Zoubir

The Integrated Probabilistic Data Association Filter (IPDAF) is a target tracking algorithm based on the Probabilistic Data Association Filter that calculates a statistical measure that indicates if an estimated representation of the target…

Robotics · Computer Science 2022-10-18 Mark E. Petersen , Randal W. Beard

When tracking a large number of targets, it is often computationally expensive to represent the full joint distribution over target states. In cases where the targets move independently, each target can instead be tracked with a separate…

Artificial Intelligence · Computer Science 2007-05-23 Hedvig Sidenbladh

The purpose of this paper is to describe the feedback particle filter algorithm for problems where there are a large number ($M$) of non-interacting agents (targets) with a large number ($M$) of non-agent specific observations…

Optimization and Control · Mathematics 2021-02-19 Jin Won Kim , Amirhossein Taghvaei , Yongxin Chen , Prashant G. Mehta

In the process of tracking multiple point targets in space using radar, since the targets are spatially well separated, the data between them will not be confused. Therefore, the multi-target tracking problem can be transformed into a…

Signal Processing · Electrical Eng. & Systems 2024-09-25 Mushen Lin , Fenggang Yan , Lingda Ren , Xiangtian Meng , Maria Greco , Fulvio Gini , Ming Jin

This paper is concerned with the convergence and the error analysis for the feedback particle filter (FPF) algorithm. The FPF is a controlled interacting particle system where the control law is designed to solve the nonlinear filtering…

Probability · Mathematics 2017-10-31 Amirhossein Taghvaei , Prashant G. Mehta

In a variety of problems, the number and state of multiple moving targets are unknown and are subject to be inferred from their measurements obtained by a sensor with limited sensing ability. This type of problems is raised in a variety of…

Machine Learning · Computer Science 2015-01-13 Haojun Li

This paper is concerned with the problem of continuous-time nonlinear filtering for stochastic processes on a connected matrix Lie group. The main contribution of this paper is to derive the feedback particle filter (FPF) algorithm for this…

Optimization and Control · Mathematics 2017-01-11 Chi Zhang , Amirhossein Taghvaei , Prashant G. Mehta

Feedback particle filter (FPF) is a Monte-Carlo (MC) algorithm to approximate the solution of a stochastic filtering problem. In contrast to conventional particle filters, the Bayesian update step in FPF is implemented via a mean-field type…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Amirhossein Taghvaei , Prashant G. Mehta

This paper considers the data association problem for multi-target tracking. Multiple hypothesis tracking is a popular algorithm for solving this problem but it is NP-hard and is is quite complicated for a large number of targets or for…

Information Theory · Computer Science 2021-05-05 Haiqi Liu , Xiaojing Shen , Zhiguo Wang , Fanqin Meng , Junfeng Wang , Pramod , Varshney

Automatic lane tracking involves estimating the underlying signal from a sequence of noisy signal observations. Many models and methods have been proposed for lane tracking, and dynamic targets tracking in general. The Kalman Filter is a…

Computer Vision and Pattern Recognition · Computer Science 2017-06-29 Jiawei Huang , Zhaowen Wang

Extended target tracking estimates the centroid and shape of the target in space and time. In various situations where extended target tracking is applicable, the presence of multiple targets can lead to interference, particularly when they…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Behzad Akbari , Haibin Zhu , Ya-Jun Pan , R. Tharmarasa

Motivated by non-linear, non-Gaussian, distributed multi-sensor/agent navigation and tracking applications, we propose a multi-rate consensus/fusion based framework for distributed implementation of the particle filter (CF/DPF). The CF/DPF…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-06 Arash Mohammadi , Amir Asif

Feedback particle filter (FPF) is an algorithm to numerically approximate the solution of the nonlinear filtering problem in continuous time. The algorithm implements a feedback control law for a system of particles such that the empirical…

Probability · Mathematics 2015-10-08 Amirhossein Taghvaei , Prashant G. Mehta

This paper is concerned with a duality-based approach to derive the linear feedback particle filter (FPF). The FPF is a controlled interacting particle system where the control law is designed to provide an exact solution for the nonlinear…

Optimization and Control · Mathematics 2018-04-13 Jin W. Kim , Amirhossein Taghvaei , Prashant G. Mehta

This paper presents theory, application, and comparisons of the feedback particle filter (FPF) algorithm for the problem of attitude estimation. The paper builds upon our recent work on the exact FPF solution of the continuous-time…

Optimization and Control · Mathematics 2016-04-06 Chi Zhang , Amirhossein Taghvaei , Prashant G. Mehta
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