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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…

系统与控制 · 电气工程与系统科学 2025-04-09 António Barros , Edoardo Peretti , Davide Fabroni , Diego Carrera , Pasqualina Fragneto , Giacomo Boracchi

This paper introduces a computational framework to reconstruct and forecast a partially observed state that evolves according to an unknown or expensive-to-simulate dynamical system. Our reduced-order autodifferentiable ensemble Kalman…

机器学习 · 统计学 2023-01-31 Yuming Chen , Daniel Sanz-Alonso , Rebecca Willett

In Wang & Pan (J. Fluid Mech., vol. 918, A19, 2021), the authors developed the first ensemble-based data assimilation (DA) capability for the reconstruction and forecast of ocean surface waves, namely the EnKF-HOS method coupling an…

流体动力学 · 物理学 2022-10-12 Guangyao Wang , Jinfeng Zhang , Yuxiang Ma , Qinghe Zhang , Zhilin Li , Yulin Pan

Many recent advances in sequential assimilation of data into nonlinear high-dimensional models are modifications to particle filters which employ efficient searches of a high-dimensional state space. In this work, we present a complementary…

动力系统 · 数学 2020-12-10 John Maclean , Elaine T Spiller

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…

系统与控制 · 计算机科学 2017-03-17 Ye Yuan , Ling Shi , Jun Liu , Zhiyong Chen , Hai-Tao Zhang , Jorge Goncalves

The ensemble Kalman filter (EnKF) (Evensen, 2009) has proven effective in quantifying uncertainty in a number of challenging dynamic, state estimation, or data assimilation, problems such as weather forecasting and ocean modeling. In these…

A hybrid data assimilation algorithm is developed for complex dynamical systems with partial observations. The method starts with applying a spectral decomposition to the entire spatiotemporal fields, followed by creating a machine learning…

计算物理 · 物理学 2022-12-27 Changhong Mou , Leslie M. Smith , Nan Chen

Data assimilation techniques are crucial for accurately tracking complex dynamical systems by integrating observational data with numerical forecasts. Recently, score-based data assimilation methods emerged as powerful tools for…

机器学习 · 统计学 2026-03-03 Pengpeng Xiao , Phillip Si , Peng Chen

This work embeds a multilevel Monte Carlo (MLMC) sampling strategy into the Monte Carlo step of the ensemble Kalman filter (EnKF), thereby yielding a multilevel ensemble Kalman filter (MLEnKF) which has provably superior asymptotic cost to…

数值分析 · 数学 2016-08-31 Alexey Chernov , Haakon Hoel , Kody Law , Fabio Nobile , Raul Tempone

Invariant extended Kalman filter (InEKF) possesses excellent trajectory-independent property and better consistency compared to conventional extended Kalman filter (EKF). However, when applied to scenarios involving both global-frame and…

系统与控制 · 电气工程与系统科学 2025-11-04 Jiale Han , Wei Ouyang , Maoran Zhu , Yuanxin Wu

Data assimilation provides algorithms for widespread applications in various fields. It is of practical use to deal with a large amount of information in the complex system that is hard to estimate. Weather forecasting is one of the…

最优化与控制 · 数学 2023-03-23 Yihua Yang

The iterative ensemble Kalman filter (IEnKF) is widely used in inverse problems to estimate system parameters from limited observations. However, the IEnKF, when applied to nonlinear systems, can be plagued by poor convergence. Here we…

最优化与控制 · 数学 2019-10-11 Jiacheng Wu , Jian-Xun Wang , Shawn C. Shadden

Motivated by the needs of online large-scale recommender systems, we specialize the decoupled extended Kalman filter (DEKF) to factorization models, including factorization machines, matrix and tensor factorization, and illustrate the…

机器学习 · 统计学 2021-02-25 Carlos Alberto Gomez-Uribe , Brian Karrer

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…

计算工程、金融与科学 · 计算机科学 2026-03-11 Lucas Hermann , Ralf Jänicke , Knut Andreas Meyer , Ulrich Römer

The ensemble data assimilation of computational fluid dynamics simulations based on the lattice Boltzmann method (LBM) and the local ensemble transform Kalman filter (LETKF) is implemented and optimized on a GPU supercomputer based on…

流体动力学 · 物理学 2023-08-08 Yuta Hasegawa , Toshiyuki Imamura , Takuya Ina , Naoyuki Onodera , Yuuichi Asahi , Yasuhiro Idomura

We investigate the applicability of the data assimilation (DA) to large eddy simulations (LESs) based on the lattice Boltzmann method (LBM). We carry out the observing system simulation experiment of a two-dimensional (2D) forced isotropic…

流体动力学 · 物理学 2023-11-13 Yuta Hasegawa , Naoyuki Onodera , Yuuichi Asahi , Takuya Ina , Toshiyuki Imamura , Yasuhiro Idomura

Particle flow filters solve Bayesian inference problems by smoothly transforming a set of particles into samples from the posterior distribution. Particles move in state space under the flow of an McKean-Vlasov-Ito process. This work…

最优化与控制 · 数学 2025-05-02 Amit N Subrahmanya , Andrey A Popov , Adrian Sandu

A square root approach is considered for the problem of accounting for model noise in the forecast step of the ensemble Kalman filter (EnKF) and related algorithms. The primary aim is to replace the method of simulated, pseudo-random,…

数据分析、统计与概率 · 物理学 2015-07-23 Patrick N. Raanes , Alberto Carrassi , Laurent Bertino

We consider the Kalman-filtering problem with multiple sensors which are connected through a communication network. If all measurements are delivered to one place called fusion center and processed together, we call the process centralized…

最优化与控制 · 数学 2019-03-29 Kunhee Ryu , Juhoon Back

Nonlinear Kalman Filters are powerful and widely-used techniques when trying to estimate the hidden state of a stochastic nonlinear dynamic system. In this paper, we extend the Smart Sampling Kalman Filter (S2KF) with a new point symmetric…

系统与控制 · 计算机科学 2015-06-11 Jannik Steinbring , Martin Pander , Uwe D. Hanebeck