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We introduce the inverse Kalman filter, which enables exact matrix-vector multiplication between a covariance matrix from a dynamic linear model and any real-valued vector with linear computational cost. We integrate the inverse Kalman…

Methodology · Statistics 2026-01-27 Xinyi Fang , Mengyang Gu

In this work, we consider a sensor selection drawn at random by a sampling with replacement policy for a linear time-invariant dynamical system subject to process and measurement noise. We employ the Kalman filter to estimate the state of…

Systems and Control · Electrical Eng. & Systems 2023-03-15 Christopher I. Calle , Shaunak D. Bopardikar

We study a distributed Kalman filtering problem in which a number of nodes cooperate without central coordination to estimate a common state based on local measurements and data received from neighbors. This is typically done by running a…

Systems and Control · Electrical Eng. & Systems 2021-02-18 Damián Marelli , Tianju Sui , Minyue Fu

In this dissertation, we investigate the issue of robust localization in swarms of heterogeneous mobile agents with multiple and time-varying sensing modalities. Our focus is the development of filter-based and decoupled estimators under…

Robotics · Computer Science 2024-08-23 Roland Jung

The problem of multisensor multitarget state estimation in the presence of constant but unknown sensor biases is investigated. The classical approach to this problem is to augment the state vector to include the states of all the targets…

Signal Processing · Electrical Eng. & Systems 2019-10-16 Jianxin Yi , Xianrong Wan , Deshi Li

Tracking multiple targets in dynamic environments using distributed sensor networks is a fundamental problem in statistical signal processing. In such scenarios, the network of mobile sensors must coordinate their actions to accurately…

Signal Processing · Electrical Eng. & Systems 2026-04-28 Aidan Blair , Amirali Khodadadian Gostar , Alireza Bab-Hadiashar , Xiaodong Li , Reza Hoseinnezhad

Kalman filter (KF) based methods for multi-object tracking (MOT) make an assumption that objects move linearly. While this assumption is acceptable for very short periods of occlusion, linear estimates of motion for prolonged time can be…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Jinkun Cao , Jiangmiao Pang , Xinshuo Weng , Rawal Khirodkar , Kris Kitani

To accurately estimate locations and velocities of surrounding targets (cars) is crucial for advanced driver assistance systems based on radar sensors. In this paper we derive methods for fusing data from multiple radar sensors in order to…

Signal Processing · Electrical Eng. & Systems 2019-08-08 Bin Zhu , Augusto Ferrante , Johan Karlsson , Mattia Zorzi

Bias estimation or sensor registration is an essential step in ensuring the accuracy of global tracks in multisensor-multitarget tracking. Most previously proposed algorithms for bias estimation rely on local measurements in centralized…

Methodology · Statistics 2016-03-23 Ehsan Taghavi , R. Tharmarasa , T. Kirubarajan , Yaakov Bar-Shalom , Mike McDonald

This paper presents a novel statistical information fusion method to integrate multiple-view sensor data in multi-object tracking applications. The proposed method overcomes the drawbacks of the commonly used Generalized Covariance…

Systems and Control · Computer Science 2017-03-01 Xiaoying Wang , Reza Hoseinnezhad , Amirali K. Gostar , Tharindu Rathnayake , Benlian Xu , Alireza Bab-Hadiashar

Traditional tracking-by-detection systems typically employ Kalman filters (KF) for state estimation. However, the KF requires domain-specific design choices and it is ill-suited to handling non-linear motion patterns. To address these…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Momir Adžemović , Predrag Tadić , Andrija Petrović , Mladen Nikolić

Vehicle location prediction or vehicle tracking is a significant topic within connected vehicles. This task, however, is difficult if only a single modal data is available, probably causing bias and impeding the accuracy. With the…

Computer Vision and Pattern Recognition · Computer Science 2018-11-08 Yue Zhang , Bin Song , Xiaojiang Du , Mohsen Guizani

Object triangulation, 3-D object tracking, feature correspondence, and camera calibration are key problems for estimation from camera networks. This paper addresses these problems within a unified Bayesian framework for joint multi-object…

Computer Vision and Pattern Recognition · Computer Science 2014-10-10 Jeremie Houssineau , Daniel Clark , Spela Ivekovic , Chee Sing Lee , Jose Franco

Motion estimation approaches typically employ sensor fusion techniques, such as the Kalman Filter, to handle individual sensor failures. More recently, deep learning-based fusion approaches have been proposed, increasing the performance and…

Computer Vision and Pattern Recognition · Computer Science 2022-09-19 Nimet Kaygusuz , Oscar Mendez , Richard Bowden

This paper explores a pragmatic approach to multiple object tracking where the main focus is to associate objects efficiently for online and realtime applications. To this end, detection quality is identified as a key factor influencing…

Computer Vision and Pattern Recognition · Computer Science 2017-07-10 Alex Bewley , Zongyuan Ge , Lionel Ott , Fabio Ramos , Ben Upcroft

This work addresses the problem of fusing two random vectors with unknown cross-correlations. We present a formulation and a numerical method for computing the optimal estimate in the minimax sense. We extend our formulation to linear…

Systems and Control · Computer Science 2016-10-05 Spyridon Leonardos , Kostas Daniilidis

A multi-sensor fusion Student's $t$ filter is proposed for time-series recursive estimation in the presence of heavy-tailed process and measurement noises. Driven from an information-theoretic optimization, the approach extends the single…

Systems and Control · Electrical Eng. & Systems 2023-11-15 Tiancheng Li , Zheng Hu , Zhunga Liu , Xiaoxu Wang

In a distributed sensor fusion architecture, using standard Kalman filter (naive fusion) can lead to degraded results as track correlations are ignored and conservative fusion strategies are employed as a sub-optimal alternative to the…

Signal Processing · Electrical Eng. & Systems 2024-12-10 Nikhil Sharma , Shovan Bhaumik , Ratnasingham Tharmarasa , Thiagalingam Kirubarajan

The growing demand for accurate, continuous, and non-invasive health monitoring has propelled multi-sensor data fusion to the forefront of healthcare technology. This review aims to provide an overview of the development of fusion…

Signal Processing · Electrical Eng. & Systems 2024-12-10 Arlene John , Barry Cardiff , Deepu John

In this paper, we study the collaborative state fusion problem in a multi-agent environment, where mobile agents collaborate to track movable targets. Due to the limited sensing range and potential errors of on-board sensors, it is…

Machine Learning · Computer Science 2024-10-22 Tianlong Zhou , Jun Shang , Weixiong Rao