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This paper addresses state estimation of linear systems with special attention on unknown process and measurement noise covariances, aiming to enhance estimation accuracy while preserving the stability guarantee of the Kalman filter. To…

Signal Processing · Electrical Eng. & Systems 2021-10-12 Xiangxiang Dong , Giorgio Battistelli , Luigi Chisci , Yunze Cai

We study the use of novel techniques arising in machine learning for inverse problems. Our approach replaces the complex forward model by a neural network, which is trained simultaneously in a one-shot sense when estimating the unknown…

Numerical Analysis · Mathematics 2020-09-15 Philipp A. Guth , Claudia Schillings , Simon Weissmann

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

Kalman Filters (KF) are fundamental to real-time state estimation applications, including radar-based tracking systems used in modern driver assistance and safety technologies. In a linear dynamical system with Gaussian noise distributions…

Robotics · Computer Science 2024-11-27 Arian Mehrfard , Bharanidhar Duraisamy , Stefan Haag , Florian Geiss

The Ensemble Kalman Filter method can be used as an iterative particle numerical scheme for state dynamics estimation and control--to--observable identification problems. In applications it may be required to enforce the solution to satisfy…

Numerical Analysis · Mathematics 2020-08-26 Michael Herty , Giuseppe Visconti

The iterative ensemble Kalman filter (IEnKF) in a deterministic framework was introduced in Sakov et al. (2012) to extend the ensemble Kalman filter (EnKF) and improve its performance in mildly up to strongly nonlinear cases. However, the…

Atmospheric and Oceanic Physics · Physics 2018-10-17 Pavel Sakov , Jean-Matthieu Haussaire , Marc Bocquet

The Ensemble Kalman filter (EnKF) was introduced by Evensen in 1994 [10] as a novel method for data assimilation: state estimation for noisily observed time-dependent problems. Since that time it has had enormous impact in many application…

Optimization and Control · Mathematics 2013-04-08 Marco A. Iglesias , Kody J. H. Law , Andrew M. Stuart

This study considers the object localization problem and proposes a novel multiparticle Kalman filter to solve it in complex and symmetric environments. Two well-known classes of filtering algorithms to solve the localization problem are…

Robotics · Computer Science 2023-03-15 Roman Korkin , Ivan Oseledets , Aleksandr Katrutsa

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

A stochastic filter uses a series of measurements over time to produce estimates of unknown variables based on a dynamic model. For a quantum system, such an algorithm is provided by a quantum filter, which is also known as a stochastic…

Quantum Physics · Physics 2017-07-25 Muhammad F. Emzir , Matthew J. Woolley , Ian R. Petersen

The ensemble Kalman filter (EnKF) is a Monte Carlo based implementation of the Kalman filter (KF) for extremely high-dimensional, possibly nonlinear and non-Gaussian state estimation problems. Its ability to handle state dimensions in the…

Methodology · Statistics 2018-02-12 Michael Roth , Gustaf Hendeby , Carsten Fritsche , Fredrik Gustafsson

This article presents an up-to-date tutorial review of nonlinear Bayesian estimation. State estimation for nonlinear systems has been a challenge encountered in a wide range of engineering fields, attracting decades of research effort. To…

Systems and Control · Computer Science 2017-12-15 Huazhen Fang , Ning Tian , Yebin Wang , MengChu Zhou , Mulugeta A. Haile

A powerful way to improve performance in machine learning is to construct an ensemble that combines the predictions of multiple models. Ensemble methods are often much more accurate and lower variance than the individual classifiers that…

Machine Learning · Computer Science 2024-12-03 Antonio Macaluso , Luca Clissa , Stefano Lodi , Claudio Sartori

Kalman filtering is a classic state estimation technique used in application areas such as signal processing and autonomous control of vehicles. It is now being used to solve problems in computer systems such as controlling the voltage and…

Systems and Control · Electrical Eng. & Systems 2019-07-01 Yan Pei , Swarnendu Biswas , Donald S. Fussell , Keshav Pingali

State estimation in power distribution systems is a key component for increased reliability and optimal system performance. Well understood in transmission systems, state estimation is now an area of active research in distribution…

Signal Processing · Electrical Eng. & Systems 2017-12-06 C. Carquex , C. Rosenberg , K. Bhattacharya

Estimating the state of a dynamical system from partial and noisy observations is a ubiquitous problem in a large number of applications, such as probabilistic weather forecasting and prediction of epidemics. Particle filters are a widely…

Statistics Theory · Mathematics 2025-03-21 E. Calvello , J. A. Carrillo , F. Hoffmann , P. Monmarché , A. M. Stuart , U. Vaes

This paper introduces a novel state estimation framework for robots using differentiable ensemble Kalman filters (DEnKF). DEnKF is a reformulation of the traditional ensemble Kalman filter that employs stochastic neural networks to model…

Robotics · Computer Science 2023-08-22 Xiao Liu , Geoffrey Clark , Joseph Campbell , Yifan Zhou , Heni Ben Amor

In this paper, we present a novel optimization algorithm designed specifically for estimating state-space models to deal with heavy-tailed measurement noise and constraints. Our algorithm addresses two significant limitations found in…

Signal Processing · Electrical Eng. & Systems 2024-11-19 Yifan Yu , Shengjie Xiu , Daniel P. Palomar

In recent years, multi-label classification problem has become a controversial issue. In this kind of classification, each sample is associated with a set of class labels. Ensemble approaches are supervised learning algorithms in which an…

Machine Learning · Computer Science 2018-01-09 Amirreza Mahdavi-Shahri , Mahboobeh Houshmand , Mahdi Yaghoobi , Mehrdad Jalali

We present an analysis of ensemble Kalman inversion, based on the continuous time limit of the algorithm. The analysis of the dynamical behaviour of the ensemble allows us to establish well-posedness and convergence results for a fixed…

Numerical Analysis · Mathematics 2017-08-09 Claudia Schillings , Andrew Stuart