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We develop data-driven algorithms to fully automate sensor fault detection in systems governed by underlying physics. The proposed machine learning method uses a time series of typical behavior to approximate the evolution of measurements…

Multi-object state estimation is a fundamental problem for robotic applications where a robot must interact with other moving objects. Typically, other objects' relevant state features are not directly observable, and must instead be…

Robotics · Computer Science 2022-12-15 Angad Singh , Omar Makhlouf , Maximilian Igl , Joao Messias , Arnaud Doucet , Shimon Whiteson

Many interventional surgical procedures rely on medical imaging to visualise and track instruments. Such imaging methods not only need to be real-time capable, but also provide accurate and robust positional information. In ultrasound…

The Kalman filter is extensively used for state estimation for linear systems under Gaussian noise. When non-Gaussian L\'evy noise is present, the conventional Kalman filter may fail to be effective due to the fact that the non-Gaussian…

Dynamical Systems · Mathematics 2013-03-12 Xu Sun , Jinqiao Duan , Xiaofan Li , Xiangjun Wang

Drones have become essential tools in a wide range of industries, including agriculture, surveying, and transportation. However, tracking unmanned aerial vehicles (UAVs) in challenging environments, such cluttered or GNSS-denied…

Robotics · Computer Science 2023-05-11 Iacopo Catalano , Jorge Peña Queralta , Tomi Westerlund

In this paper, sensor selection problems for target tracking in large sensor networks with linear equality or inequality constraints are considered. First, we derive an equivalent Kalman filter for sensor selection, i.e., generalized…

Optimization and Control · Mathematics 2023-07-19 Xiaojing Shen , Pramod K. Varshney

We present a novel filtering algorithm that employs Bayesian transfer learning to address the challenges posed by mismatched intensity of the noise in a pair of sensors, each of which tracks an object using a nonlinear dynamic system model.…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Omar Alotaibi , Brian L. Mark , Mohammad Reza Fasihi

Estimation of a dynamical system's latent state subject to sensor noise and model inaccuracies remains a critical yet difficult problem in robotics. While Kalman filters provide the optimal solution in the least squared sense for linear and…

Robotics · Computer Science 2022-02-10 Fahira Afzal Maken , Fabio Ramos , Lionel Ott

This paper presents a novel method for estimating the number of vehicles traveling along signalized approaches using probe vehicle data only. The proposed method uses the Kalman Filtering technique to produce reliable vehicle count…

Systems and Control · Electrical Eng. & Systems 2020-03-04 Mohammad A. Aljamal , Hossam M. Abdelghaffar , Hesham A. Rakha

For reliable operation on urban roads, navigation using the Global Navigation Satellite System (GNSS) requires both accurately estimating the positioning detail from GNSS pseudorange measurements and determining when the estimated position…

Robotics · Computer Science 2021-10-26 Shubh Gupta , Grace X. Gao

The extended Kalman filter is perhaps the most standard tool to estimate in real time the state of a dynamical system from noisy measurements of some function of the system, with extensive practical applications (such as position tracking…

Optimization and Control · Mathematics 2019-01-04 Yann Ollivier

Target tracking using observations from multiple sensors can achieve better estimation performance than a single sensor. The most famous estimation tool in target tracking is Kalman filter. There are several mathematical approaches to…

Systems and Control · Computer Science 2013-07-12 Sayed Amir Hoseini , Mohammad Reza Ashraf

Disturbance observers have been attracting continuing research efforts and are widely used in many applications. Among them, the Kalman filter-based disturbance observer is an attractive one since it estimates both the state and the…

Systems and Control · Electrical Eng. & Systems 2023-10-31 Shilei Li , Dawei Shi , Yunjiang Lou , Wulin Zou , Ling Shi

The article is devoted to the problem of synthesis of observers of state variables for linear stationary objects operating under conditions of noise or disturbances in the measurement channel. The paper considers a fully observable linear…

Systems and Control · Electrical Eng. & Systems 2023-05-26 Alexey Bobtsov , Vladimir Virobyev , Nikolay Nikolaev , Anton Pyrkin , Romeo Ortega

The Kalman filter (KF) is used in a variety of applications for computing the posterior distribution of latent states in a state space model. The model requires a linear relationship between states and observations. Extensions to the Kalman…

Machine Learning · Statistics 2016-08-31 Michael C. Burkhart , David M. Brandman , Carlos E. Vargas-Irwin , Matthew T. Harrison

State estimation is a fundamental problem in control and signal processing, for which the Kalman Filter provides an optimal solution under linear dynamics, Gaussian noise, and known noise covariances. However, these assumptions often fail…

Machine Learning · Computer Science 2026-05-27 Vasileios Saketos , Ming Xiao

We revisit the precision of the measurement of track parameters (position, angle) with optimal methods in the presence of detector resolution, multiple scattering and zero magnetic field. We then obtain an optimal estimator of the track…

Data Analysis, Statistics and Probability · Physics 2017-07-04 Mikael Frosini , Denis Bernard

In this paper, we present a novel method called PolyTrack for fast multi-object tracking and segmentation using bounding polygons. Polytrack detects objects by producing heatmaps of their center keypoint. For each of them, a rough…

Computer Vision and Pattern Recognition · Computer Science 2021-11-03 Gaspar Faure , Hughes Perreault , Guillaume-Alexandre Bilodeau , Nicolas Saunier

This paper presents a novel filter with low computational demand to address the problem of orientation estimation of a robotic platform. This is conventionally addressed by extended Kalman filtering of measurements from a sensor suit which…

Robotics · Computer Science 2016-12-02 Oscar De Silva , George K. I. Mann , Raymond G. Gosine

We develop joint vehicle tracking and road side unit (RSU) selection algorithms suitable for vehicle-to-infrastructure (V2I) communications. We first design an analytical framework for evaluating vehicle tracking systems based on the…

Information Theory · Computer Science 2022-02-14 Jiho Song , Seong-Hwan Hyun , Jong-Ho Lee , Jeongsik Choi , Seong-Cheol Kim
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