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Fueled by applications in sensor networks, these years have witnessed a surge of interest in distributed estimation and filtering. A new approach is hereby proposed for the Distributed Kalman Filter (DKF) by integrating a local covariance…

Systems and Control · Computer Science 2017-03-17 Ye Yuan , Ling Shi , Jun Liu , Zhiyong Chen , Hai-Tao Zhang , Jorge Goncalves

The extended Kalman filter (EKF) is a cornerstone of nonlinear state estimation, yet its performance is fundamentally limited by noise-model mismatch and linearization errors. We develop a residual-aware distributionally robust EKF that…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Minhyuk Jang , Jungjin Lee , Astghik Hakobyan , Naira Hovakimyan , Insoon Yang

This paper presents a novel adaptive fading cubature Kalman filter (AFCKF) based on double transitive factors. The developed adaptive algorithm is explained in two stages; stage (i) a single transitive factor is used to update the predicted…

Systems and Control · Electrical Eng. & Systems 2021-08-26 Mundla Narasimhappa

Ensemble data assimilation methods such as the Ensemble Kalman Filter (EnKF) are a key component of probabilistic weather forecasting. They represent the uncertainty in the initial conditions by an ensemble which incorporates information…

Applications · Statistics 2018-10-17 Sylvain Robert , Daniel Leuenberger , Hans R. Künsch

We formulate a recursive estimation problem for multiple dynamical systems coupled through a low dimensional stochastic input, and we propose an efficient sub-optimal solution. The suggested approach is an approximation of the Kalman filter…

Optimization and Control · Mathematics 2019-11-26 Leonid Pogorelyuk , Clarence W. Rowley , N. Jeremy Kasdin

Accurate and computationally light algorithms for estimating the State of Charge (SoC) of a battery's cells are crucial for effective battery management on embedded systems. In this letter, we propose an Adaptive Extended Kalman Filter…

Systems and Control · Electrical Eng. & Systems 2025-04-09 António Barros , Edoardo Peretti , Davide Fabroni , Diego Carrera , Pasqualina Fragneto , Giacomo Boracchi

Accurate state estimation of large-scale lithium-ion battery packs is necessary for the advanced control of batteries, which could potentially increase their lifetime through e.g. reconfiguration. To tackle this problem, an enhanced…

Systems and Control · Computer Science 2017-09-25 Luis D. Couto , Michel Kinnaert

The aim of this work is to develop a model-based methodology for monitoring lateral track irregularities based on the use of inertial sensors mounted on an in-service train. To this end, a gyroscope is used to measure the wheelset yaw…

Computational Engineering, Finance, and Science · Computer Science 2020-03-12 S. Munoz , J. Ros , J. L. Escalona

This article offers an elaborate description of a Kalman filter code employed in the active control system. Conventional active noise management methods usually employ an adaptive filter, such as the filtered reference least mean square…

Systems and Control · Electrical Eng. & Systems 2024-02-13 Guo Yu

This article explores the estimation of parameters and states for linear stochastic systems with deterministic control inputs. It introduces a novel Kalman filtering approach called Kalman Filtering with Correlated Noises Recursive…

Systems and Control · Electrical Eng. & Systems 2025-07-11 Abd El Mageed Hag Elamin Khalid

Over the years data assimilation methods have been developed to obtain estimations of uncertain model parameters by taking into account a few observations of a model state. The most reliable methods of MCMC are computationally expensive.…

Applications · Statistics 2018-11-14 Sangeetika Ruchi , Svetlana Dubinkina

We present a practical implementation of the ensemble Kalman (EnKF) filter based on an iterative Sherman-Morrison formula. The new direct method exploits the special structure of the ensemble-estimated error covariance matrices in order to…

Numerical Analysis · Computer Science 2015-02-03 Elias D. Nino-Ruiz , Adrian Sandu , Jeffrey Anderson

In order to integrate uncertainty estimates into deep time-series modelling, Kalman Filters (KFs) (Kalman et al., 1960) have been integrated with deep learning models, however, such approaches typically rely on approximate inference…

Machine Learning · Computer Science 2019-05-20 Philipp Becker , Harit Pandya , Gregor Gebhardt , Cheng Zhao , James Taylor , Gerhard Neumann

Traditional statements of the celebrated Kalman filter algorithm focus on the estimation of state, but not the output. For any outputs, measured or auxiliary, it is usually assumed that the posterior state estimates and known inputs are…

Optimization and Control · Mathematics 2016-10-26 Ameet S. Deshpande

The ensemble Kalman filter (EnKF) is a recursive filter suitable for problems with a large number of variables, such as discretizations of partial differential equations in geophysical models. The EnKF originated as a version of the Kalman…

Atmospheric and Oceanic Physics · Physics 2009-01-26 Jan Mandel

Data assimilation has been applied to coastal hydrodynamic models to better estimate system states or parameters by incorporating observed data into the model. Kalman Filter (KF) is one of the most studied data assimilation methods whose…

Atmospheric and Oceanic Physics · Physics 2016-07-05 Milad Hooshyar , Stephen C. Medeiros , Dingbao Wang , Scott C. Hagen

We present a novel Kalman filter for spatiotemporal systems called the numerical Gaussian process Kalman filter (GPKF). Numerical Gaussian processes have recently been introduced as a physics informed machine learning method for simulating…

Systems and Control · Electrical Eng. & Systems 2021-05-06 Armin Küper , Steffen Waldherr

One-shot pose estimation for tasks such as body joint localization, camera pose estimation, and object tracking are generally noisy, and temporal filters have been extensively used for regularization. One of the most widely-used methods is…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Huseyin Coskun , Felix Achilles , Robert DiPietro , Nassir Navab , Federico Tombari

This paper extends the ensemble Kalman filter (EnKF) for inverse problems to identify trending model coefficients. This is done by repeatedly inflating the ensemble while maintaining the mean of the particles. As a benchmark serves a…

Optimization and Control · Mathematics 2020-01-30 M. Schwenzer , G. Visconti , M. Ay , T. Bergs , M. Herty , D. Abel

The Kalman filter is the most powerful tool for estimation of the states of a linear Gaussian system. In addition, using this method, an expectation maximization algorithm can be used to estimate the parameters of the model. However, this…

Computation · Statistics 2020-06-01 Tsuyoshi Ishizone , Kazuyuki Nakamura
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