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We explore the potential of Data-Assimilation (DA) within the multi-scale framework of a shell model of turbulence, with a focus on the Ensemble Kalman Filter (EnKF). The central objective is to understand how measuring mesoscales (i.e.,…

Fluid Dynamics · Physics 2026-01-15 Francesco Fossella , Luca Biferale , Alberto Carrassi , Massimo Cencini , Vikrant Gupta

Accurate and timely prediction of crop growth is of great significance to ensure crop yields and researchers have developed several crop models for the prediction of crop growth. However, there are large difference between the simulation…

Artificial Intelligence · Computer Science 2024-03-07 Siqi Zhou , Ling Wang , Jie Liu , Jinshan Tang

In this paper, we first review the theory of symmetry-preserving observers and we mention some recent results. Then, we apply the theory to Extended Kalman Filter-based Simultaneous Localization and Mapping (EKF SLAM). It allows to derive a…

Optimization and Control · Mathematics 2011-05-12 Silvere Bonnabel

The Bootstrap Particle Filter (BPF) and the Ensemble Kalman Filter (EnKF) are two widely used methods for sequential Bayesian filtering: the BPF is asymptotically exact but can suffer from weight degeneracy, while the EnKF scales well in…

Methodology · Statistics 2026-01-28 Ilja Klebanov , Claudia Schillings , Dana Wrischnig

Data assimilation combines dynamical models with observations to improve state estimates. Ensemble filters sequentially assimilate observations by updating a set of samples over time, alternating between a forecast and an analysis step.…

Computation · Statistics 2026-05-26 Mathieu Le Provost , Jan Glaubitz , Youssef Marzouk

We study the mathematical properties of the Invariant Extended Kalman Filter (IEKF) when iterating on the measurement update step, following the principles of the well-known Iterated Extended Kalman Filter. This iterative variant of the…

Systems and Control · Electrical Eng. & Systems 2025-11-26 Sven Goffin , Axel Barrau , Silvère Bonnabel , Olivier Brüls , Pierre Sacré

We consider the problem of an ensemble Kalman filter when only partial observations are available. In particular we consider the situation where the observational space consists of variables which are directly observable with known…

Data Analysis, Statistics and Probability · Physics 2011-08-31 Georg A. Gottwald , Lewis Mitchell , Sebastian Reich

This paper studies an output feedback stabilization control framework for discrete-time linear systems with stochastic dynamics determined by an independent and identically distributed (i.i.d.) process. The controller is constructed with an…

Systems and Control · Computer Science 2019-04-11 Yohei Hosoe , Dimitri Peaucelle

Real-time control and estimation are pivotal for applications such as industrial automation and future healthcare. The realization of this vision relies heavily on efficient interactions with nonlinear systems. Therefore, Koopman learning,…

Information Theory · Computer Science 2025-12-19 Yutao Chen , Wei Chen

This paper considers the use of two position receivers and an inertial measurement unit (IMU) to estimate the position, velocity, and attitude of a rigid body, collectively called extended pose. The measurement model consisting of the…

Robotics · Computer Science 2021-05-03 Natalia Pavlasek , Alex Walsh , James Richard Forbes

A data-driven investigation of the flow around a high-rise building is performed combining heterogeneous experimental samples and RANS CFD. The coupling is performed using techniques based on the Ensemble Kalman Filter (EnKF), including…

Fluid Dynamics · Physics 2023-01-27 Lucas Villanueva , Miguel Martinez Valero , Anina Sarkic Glumac , Marcello Meldi

A new class of iterated linearization-based nonlinear filters, dubbed dynamically iterated filters, is presented. Contrary to regular iterated filters such as the iterated extended Kalman filter (IEKF), iterated unscented Kalman filter…

Signal Processing · Electrical Eng. & Systems 2023-09-15 Anton Kullberg , Isaac Skog , Gustaf Hendeby

This paper proposes a novel approach to improve the performance of the extended Kalman filter (EKF) for the problem of mobile robot localization. A fuzzy logic system is employed to continuous-ly adjust the noise covariance matrices of the…

Robotics · Computer Science 2021-05-07 Thi Thanh Van Nguyen , Manh Duong Phung , Thuan Hoang Tran , Quang Vinh Tran

The phase-field approach to brittle fracture provides a continuum framework for modeling crack initiation and propagation without explicit representation of discrete crack surfaces, provided the spatial discretization is fine enough to…

Computational Engineering, Finance, and Science · Computer Science 2026-03-11 Lucas Hermann , Ralf Jänicke , Knut Andreas Meyer , Ulrich Römer

This paper presents an algorithm to improve state estimation for legged robots. Among existing model-based state estimation methods for legged robots, the contact-aided invariant extended Kalman filter defines the state on a Lie group to…

Robotics · Computer Science 2026-01-29 Seokju Lee , Hyun-Bin Kim , Kyung-Soo Kim

Inertial measurement units are widely used in different fields to estimate the attitude. Many algorithms have been proposed to improve estimation performance. However, most of them still suffer from 1) inaccurate initial estimation, 2)…

Robotics · Computer Science 2021-07-28 Yujie Tang , Liang Hu , Qingrui Zhang , Wei Pan

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

Among algorithms used for sensor fusion for attitude estimation in unmanned aerial vehicles, the Extended Kalman Filter (EKF) is the most commonly used for estimation. In this paper, we propose a new version of H2 estimation called extended…

Optimization and Control · Mathematics 2020-09-08 Sunsoo Kim , Vaishnav Tadiparthi , Raktim Bhattacharya

Prediction of spatio-temporal chaotic systems is important in various fields, such as Numerical Weather Prediction (NWP). While data assimilation methods have been applied in NWP, machine learning techniques, such as Reservoir Computing…

Machine Learning · Computer Science 2020-06-26 Futo Tomizawa , Yohei Sawada

Inferring the state and unknown parameters of a network of coupled oscillators is of utmost importance. This task is made harder when only partial and noisy observations are available, which is a typical scenario in realistic…

Adaptation and Self-Organizing Systems · Physics 2025-04-07 Lauren D. Smith , Georg A. Gottwald