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The ensemble Kalman filter (EnKF) has become a standard methodology for state estimation in high-dimensional systems, yet its various stochastic and deterministic formulations often appear conceptually disconnected. In this paper, a unified…

系统与控制 · 电气工程与系统科学 2026-04-21 Jin Won Kim

Understanding human motion is of critical importance for health monitoring and control of assistive robots, yet many human kinematic variables cannot be directly or accurately measured by wearable sensors. In recent years, invariant…

机器人学 · 计算机科学 2025-08-05 Zenan Zhu , Seyed Mostafa Rezayat Sorkhabadi , Yan Gu , Wenlong Zhang

Recent researches in data assimilation lead to the introduction of the parametric Kalman filter (PKF): an implementation of the Kalman filter, where the covariance matrices are approximated by a parameterized covariance model. In the PKF,…

数据分析、统计与概率 · 物理学 2021-03-23 Olivier Pannekoucke , Philippe Arbogast

A scheme is proposed to improve the performance of the ensemble-based Kalman Filters during the initial spin-up period. By applying the no-cost ensemble Kalman Smoother, this scheme allows the model solutions for the ensemble to be "running…

混沌动力学 · 物理学 2008-06-03 Eugenia Kalnay , Shu-Chih Yang

This work presents a novel target-free extrinsic calibration algorithm for a 3D Lidar and an IMU pair using an Extended Kalman Filter (EKF) which exploits the \textit{motion based calibration constraint} for state update. The steps include,…

机器人学 · 计算机科学 2021-09-30 Subodh Mishra , Gaurav Pandey , Srikanth Saripalli

The present document aims at providing a short, didactical introduction to three standard versions of the Kalman filter, namely its variants identified as Basic, Extended, and Unscented. The application of these algorithms in three…

系统与控制 · 计算机科学 2016-07-20 E. Matsinos

The filtering distribution in hidden Markov models evolves according to the law of a mean-field model in state-observation space. The ensemble Kalman filter (EnKF) approximates this mean-field model with an ensemble of interacting…

机器学习 · 统计学 2025-12-25 Eviatar Bach , Ricardo Baptista , Edoardo Calvello , Bohan Chen , Andrew Stuart

Continuously tracking the movement of a fluid or a plume in the subsurface is a challenge that is often encountered in applications, such as tracking a plume of injected CO$_2$ or of a hazardous substance. Advances in monitoring techniques…

数值分析 · 数学 2015-06-19 Judith Y. Li , Sivaram Ambikasaran , Eric F. Darve , Peter K. Kitanidis

This paper presents methods for vehicle state estimation and prediction for autonomous driving. A roundabout is chosen to apply the methods and illustrate the results as autonomous vehicles have difficulty in handling roundabouts. State…

系统与控制 · 电气工程与系统科学 2023-04-26 Xinchen Li , Levent Guvenc , Bilin Aksun-Guvenc

This paper introduces a novel Kalman filter framework designed to achieve robust state estimation under both process and measurement noise. Inspired by the Weighted Observation Likelihood Filter (WoLF), which provides robustness against…

机器学习 · 统计学 2025-11-25 Weitao Liu

This paper studies the problem of Cooperative Localization (CL) for multi-robot systems, where a group of mobile robots jointly localize themselves by using measurements from onboard sensors and shared information from other robots. We…

机器人学 · 计算机科学 2024-05-08 Yizhi Zhou , Yufan Liu , Pengxiang Zhu , Xuan Wang

Molecular data from tumor profiles is high dimensional. Tumor profiles can be characterized by tens of thousands of gene expression features. Due to the size of the gene expression feature set machine learning methods are exposed to noisy…

机器学习 · 计算机科学 2020-07-14 Martin Palazzo , Pierre Beauseroy , Patricio Yankilevich

Global Navigation Satellite Systems (GNSS) applications are often hindered by various sources of error, with multipath interference being one of the most challenging, particularly in urban environments. In this work, we build on previous…

系统与控制 · 电气工程与系统科学 2025-12-03 Abdelgabar Ahmed , Tarig Ballal , Xing Liu , Mohanad Ahmed , Tareq Y. Al-Naffouri

With the rapid development of industrial automation and smart manufacturing, the control of flexible structures and underactuated systems has become a critical research focus. Residual vibrations in these systems not only degrade…

系统与控制 · 电气工程与系统科学 2025-07-03 Weiyi Yang , Yu Yuan , Mingsheng Shang

This paper is concerned with the linear/nonlinear Kalman-like filtering problem under binary sensors. Since innovation represents new information in the sensor measurement and serves to correct the prediction for the Kalman-like filter…

系统与控制 · 电气工程与系统科学 2021-10-28 Zhongyao Hu , Bo Chen , Yuchen Zhang , Li Yu

Ubiquitous robot control and human-robot collaboration using smart devices poses a challenging problem primarily due to strict accuracy requirements and sparse information. This paper presents a novel approach that incorporates a…

机器人学 · 计算机科学 2023-10-05 Fabian C Weigend , Xiao Liu , Heni Ben Amor

The paper proposes a new recursive filter for non-linear systems that inherently computes a valid bound on the mean square estimation error. The proposed filter, bound based extended Kalman, (BEKF) is in the form of an extended Kalman…

最优化与控制 · 数学 2014-10-02 Gyorgy Hexner , Haim Weiss

Building upon the theory of Kalman Filtering on Lie Groups, this paper describes an Extended Kalman Filter and Smoother for Loosely Coupled Integration of GNSS/INS tailored for post-processing applications. The approach employs a dynamic…

机器人学 · 计算机科学 2022-10-07 Marcos R. Fernandes , Giorgio M. Magalhães , Yusef Cáceres , João B. R. do Val

Natural disasters, such as hurricanes and typhoons, pose significant challenges to public safety and infrastructure. While government agencies rely on multi million dollar UAV systems for storm data collection and disaster response, smaller…

动力系统 · 数学 2025-09-17 Ahmed A. Elgohary , Benjamin Gwinnell , Josh Augustine

The Kalman filter and its extensions are used in a vast number of aerospace and navigation applications for nonlinear state estimation of time series. In the literature, different approaches have been proposed to exploit the structure of…

系统与控制 · 电气工程与系统科学 2019-10-11 Matti Raitoharju , Robert Piché
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