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Related papers: Maximum Correntropy Ensemble Kalman Filter

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This paper considers the problem of data-driven robust control design for nonlinear systems, for instance, obtained when discretizing nonlinear partial differential equations (PDEs). A robust learning control approach is developed for…

Optimization and Control · Mathematics 2025-09-01 Anant A. Joshi , Saviz Mowlavi , Mouhacine Benosman

We address the problem of observation noise misspecification in Bayesian filtering of dynamical systems via recent advances in generalised Bayesian inference. Mis-match in tail decay between the true data generating process and an assumed…

Statistics Theory · Mathematics 2026-05-27 Hans Reimann , Sebastian Reich

The Ensemble Kalman Filter (EnKF) is a popular sequential data assimilation method that has been increasingly used for parameter estimation and forecast prediction in epidemiological studies. The observation function plays a critical role…

Methodology · Statistics 2021-07-20 Leah Mitchell , Andrea Arnold

Accurate state estimation of nonlinear dynamical systems is fundamental to modern aerospace operations across air, sea, and space domains. Online tracking of adversarial unmanned aerial vehicles (UAVs) is especially challenging due to agile…

Machine Learning · Computer Science 2026-05-01 Akhil Gupta , Erhan Guven

We propose a Dynamical Low-Rank Ensemble Kalman Filter (DLR-ENKF) for efficient joint state-parameter estimation in high-dimensional dynamical systems. The method extends the DLR-ENKF formulation of arXiv:2509.11210 to the augmented…

Numerical Analysis · Mathematics 2026-02-09 Fabio Nobile , Sébastien Riffaud , Thomas Trigo Trindade

Reliable multi-source fusion is crucial for robust perception in autonomous systems. However, evaluating fusion performance independently of detection errors remains challenging. This work introduces a systematic evaluation framework that…

Robotics · Computer Science 2025-07-08 Maryem Fadili , Louis Lecrosnier , Steve Pechberti , Redouane Khemmar

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…

Machine Learning · Computer Science 2025-09-19 Dan MacKinlay

A new type of ensemble filter is proposed, which combines an ensemble Kalman filter (EnKF) with the ideas of morphing and registration from image processing. This results in filters suitable for nonlinear problems whose solutions exhibit…

Dynamical Systems · Mathematics 2011-11-09 Jonathan D. Beezley , Jan Mandel

This work embeds a multilevel Monte Carlo sampling strategy into the Monte Carlo step of the ensemble Kalman filter (EnKF) in the setting of finite dimensional signal evolution and noisy discrete-time observations. The signal dynamics is…

Numerical Analysis · Mathematics 2016-06-30 Håkon Hoel , Kody J. H. Law , Raul Tempone

Distributed Kalman filter approaches based on the maximum correntropy criterion have recently demonstrated superior state estimation performance to that of conventional distributed Kalman filters for wireless sensor networks in the presence…

Signal Processing · Electrical Eng. & Systems 2023-09-06 Jiacheng He , Gang Wang , Xuemei Mao , Song Gao , Bei Peng

In many physical applications, the system's state varies with spatial variables as well as time. The state of such systems is modelled by partial differential equations and evolves on an infinite-dimensional space. Systems modelled by…

Optimization and Control · Mathematics 2022-02-17 Sepideh Afshar , Fabian Germ , Kirsten A. Morris

This paper is concerned with the filtering problem in continuous-time. Three algorithmic solution approaches for this problem are reviewed: (i) the classical Kalman-Bucy filter which provides an exact solution for the linear Gaussian…

Optimization and Control · Mathematics 2017-12-22 Amirhossein Taghvaei , Jana de Wiljes , Prashant G. Mehta , Sebastian Reich

The Unscented Kalman Filter (UKF) is a ubiquitous tool for nonlinear state estimation; however, its performance is limited by the static parameterization of the Unscented Transform (UT). Conventional weighting schemes, governed by fixed…

Machine Learning · Computer Science 2026-03-05 Kenan Majewski , Michał Modzelewski , Marcin Żugaj , Piotr Lichota

The ensemble Gaussian mixture filter (EnGMF) is a non-linear filter suited to data assimilation of highly non-Gaussian and non-linear models that has practical utility in the case of a small number of samples, and theoretical convergence to…

Optimization and Control · Mathematics 2024-06-03 Andrey A. Popov , Enrico M. Zucchelli , Renato Zanetti

In this work, we present a new derivative-free optimization method and investigate its use for training neural networks. Our method is motivated by the Ensemble Kalman Filter (EnKF), which has been used successfully for solving optimization…

Numerical Analysis · Mathematics 2018-06-01 Eldad Haber , Felix Lucka , Lars Ruthotto

It is known that the conventional estimators such as extended Kalman filter (EKF) and unscented Kalman filter (UKF) may provide favorable performance; However, they may not guarantee the robustness against model uncertainty and cyber…

Systems and Control · Electrical Eng. & Systems 2025-03-28 Tohid Kargar Tasooji , Sakineh Khodadadi

This paper focuses on designing a consistent and efficient filter for map-based visual-inertial localization. First, we propose a new Lie group with its algebra, based on which a novel invariant extended Kalman filter (invariant EKF) is…

Robotics · Computer Science 2022-04-27 Zhuqing Zhang , Yang Song , Shoudong Huang , Rong Xiong , Yue Wang

We propose a new algorithm for an adaptive optics system control law which allows to reduce the computational burden in the case of an Extremely Large Telescope (ELT) and to deal with non-stationary behaviors of the turbulence. This…

Instrumentation and Methods for Astrophysics · Physics 2015-06-17 Morgan Gray , Cyril Petit , Sergey Rodionov , Laurent Bertino , Marc Bocquet , Thierry Fusco

The Kalman filter (KF) provides optimal recursive state estimates for linear-Gaussian systems and underpins applications in control, signal processing, and others. However, it is vulnerable to outliers in the measurements and process noise.…

Systems and Control · Electrical Eng. & Systems 2025-07-02 Alan Yang , Stephen Boyd

The extended Kalman filter (EKF) is a widely adopted method for sensor fusion in navigation applications. A crucial aspect of the EKF is the online determination of the process noise covariance matrix reflecting the model uncertainty. While…

Robotics · Computer Science 2025-03-11 Nadav Cohen , Itzik Klein