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This paper investigates the distributed Kalman filter (DKF) for linear systems, with specific attention on measurement fusion, which is a typical way of information sharing and is vital for enhancing stability and improving estimation…

信号处理 · 电气工程与系统科学 2025-04-14 Tuo Yang , Jiachen Qian , Zhisheng Duan , Zhiyong Sun

We introduce a computationally efficient variant of the model-based ensemble Kalman filter (EnKF). We propose two changes to the original formulation. First, we phrase the setup in terms of precision matrices instead of covariance matrices,…

统计方法学 · 统计学 2023-03-01 Håkon Gryvill , Håkon Tjelmeland

Autonomous Underwater Vehicles (AUVs) and Remotely Operated Vehicles (ROVs) are used for a wide variety of missions related to exploration and scientific research. Successful navigation by these systems requires a good localization system.…

机器人学 · 计算机科学 2021-05-27 Sharan Balasubramanian , Ayush Rajput , Rodra W. Hascaryo , Chirag Rastogi , William R. Norris

We present the Koopman-Inspired Learned Observations Extended Kalman Filter (KILO-EKF), which combines a standard EKF prediction step with a correction step based on a Koopman-inspired measurement model learned from data. By lifting…

机器人学 · 计算机科学 2026-03-04 Zi Cong Guo , James R. Forbes , Timothy D. Barfoot

The extended Kalman filter (EKF) has been the industry standard for state estimation problems over the past sixty years. The classical formulation of the EKF is posed for nonlinear systems defined on global Euclidean spaces. The design…

系统与控制 · 电气工程与系统科学 2025-06-09 Yixiao Ge , Pieter van Goor , Robert Mahony

Contemporary data assimilation often involves more than a million prediction variables. Ensemble Kalman filters (EnKF) have been developed by geoscientists. They are successful indispensable tools in science and engineering, because they…

概率论 · 数学 2017-05-26 Andrew J. Majda , Xin T. Tong

Kalman Filter requires the true parameters of the model and solves optimal state estimation recursively. Expectation Maximization (EM) algorithm is applicable for estimating the parameters of the model that are not available before Kalman…

机器学习 · 计算机科学 2021-05-26 Zhuangwei Shi

This paper develops an efficient implementation of the ensemble Kalman filter based on a modified Cholesky decomposition for inverse covariance matrix estimation. This implementation is named EnKF-MC. Background errors corresponding to…

统计理论 · 数学 2016-05-31 Elias D. Nino , Adrian Sandu , Xinwei Deng

The general consensus is that the Multiplicative Extended Kalman Filter (MEKF) is superior to the Additive Extended Kalman Filter (AEKF) based on a wealth of theoretical evidence. This paper deals with a practical comparison between the two…

机器人学 · 计算机科学 2023-07-17 Hamza A. Hassan , William Tolstrup , Johanes P. Suriana , Ibrahim D. Kiziloklu

The Ensemble Kalman Filter (EnKF) has achieved great successes in data assimilation in atmospheric and oceanic sciences, but its failure in convergence to the right filtering distribution precludes its use for uncertainty quantification. We…

统计方法学 · 统计学 2021-05-13 Peiyi Zhang , Qifan Song , Faming Liang

Accurate estimation of power system dynamics is very important for the enhancement of power system reliability, resilience, security, and stability of power system. With the increasing integration of inverter-based distributed energy…

系统与控制 · 电气工程与系统科学 2020-12-14 Narayan Bhusal , Mukesh Gautam

An online Data Assimilation strategy based on the Ensemble Kalman Filter (EnKF) is used to improve the predictive capabilities of Large Eddy Simulation (LES) for the analysis of the turbulent flow in a plane channel, $Re_\tau \approx 550$.…

流体动力学 · 物理学 2023-10-30 Lucas Villanueva , Karine Truffin , Marcello Meldi

The inverse problem of determining parameters in a model by comparing some output of the model with observations is addressed. This is a description for what hat to be done to use the Gauss-Markov-Kalman filter for the Bayesian estimation…

数值分析 · 数学 2016-11-29 Hermann G. Matthies , Alexander Litvinenko , Bojana V. Rosic , Elmar Zander

Data assimilation (DA) is a key component of many forecasting models in science and engineering. DA allows one to estimate better initial conditions using an imperfect dynamical model of the system and noisy/sparse observations available…

机器学习 · 计算机科学 2023-02-01 Ashesh Chattopadhyay , Ebrahim Nabizadeh , Eviatar Bach , Pedram Hassanzadeh

Kalman Filter (KF) is an optimal linear state prediction algorithm, with applications in fields as diverse as engineering, economics, robotics, and space exploration. Here, we develop an extension of the KF, called a Pathspace Kalman Filter…

机器学习 · 统计学 2024-04-03 Chaitra Agrahar , William Poole , Simone Bianco , Hana El-Samad

The Ensemble Kalman Filter (EnKF) is a widely used method for data assimilation in high-dimensional systems, with an ensemble update step equivalent to an empirical version of the Matheron update popular in Gaussian process regression -- a…

机器学习 · 计算机科学 2025-09-19 Dan MacKinlay

Ensemble Kalman Filtering (EnKF) is a popular technique for data assimilation, with far ranging applications. However, the vanilla EnKF framework is not well-defined when perturbations are nonlinear. We study two non-linear extensions of…

机器学习 · 统计学 2024-09-24 Zachariah Malik , Romit Maulik

We present the Subset Extended Kalman Filter (SEKF) as a method to update previously trained model weights online rather than retraining or finetuning them when the system a model represents drifts away from the conditions under which it…

机器学习 · 计算机科学 2025-03-25 Joshua E. Hammond , Tyler Soderstrom , Brian A. Korgel , Michael Baldea

The reconstruction of the dynamics of an observed physical system as a surrogate model has been brought to the fore by recent advances in machine learning. To deal with partial and noisy observations in that endeavor, machine learning…

机器学习 · 统计学 2020-10-06 Marc Bocquet , Alban Farchi , Quentin Malartic

In this paper, the ensemble consider Kalman filter is proposed to mitigate the negative effects of uncertain parameters in nonlinear dynamic and measurement models. The ensemble Kalman filter can avoid using the Jacobian matrices and reduce…

系统与控制 · 电气工程与系统科学 2019-06-18 Tai-shan Lou , Nan-hua Chen , Hua Xiong , Ya-xi Li , Lei Wang