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One hidden yet important issue for developing neural network potentials (NNPs) is the choice of training algorithm. Here we compare the performance of two popular training algorithms, the adaptive moment estimation algorithm (Adam) and the…

Chemical Physics · Physics 2021-12-15 Yunqi Shao , Florian M. Dietrich , Carl Nettelblad , Chao Zhang

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…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Jiale Han , Wei Ouyang , Maoran Zhu , Yuanxin Wu

Atrial fibrillation (AF) is a common cardiac arrhythmia characterised by disordered electrical activity in the atria. The standard treatment is catheter ablation, which is invasive and irreversible. Recent advances in computational…

Continuously tracking the movement of a fluid or a plume in the subsurface is a challenge that is often encountered in applications, such as tracking a plume of injected CO$_2$ or of a hazardous substance. Advances in monitoring techniques…

Numerical Analysis · Mathematics 2015-06-19 Judith Y. Li , Sivaram Ambikasaran , Eric F. Darve , Peter K. Kitanidis

The paper presents experiments of driving a physics-based thermosphere model by assimilating electron density (Ne) and temperature (Tn) data using the ensemble adjustment Kalman filter (EAKF) technique. This study not only helps to gauge…

Space Physics · Physics 2019-03-22 Timothy Kodikara , Kefei Zhang

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

Sediment deposits are the only leftover records from paleo tsunami events. Therefore, inverse modeling method based on the information contained in the deposit is an indispensable way of deciphering the quantitative characteristics of the…

Geophysics · Physics 2016-01-18 Jian-Xun Wang , Hui Tang , Heng Xiao , Robert Weiss

This paper considers the distributed filtering problem for a class of stochastic uncertain systems under quantized data flowing over switching sensor networks. Employing the biased noisy observations of the local sensor and…

Signal Processing · Electrical Eng. & Systems 2019-10-08 Xingkang He , Wenchao Xue , Xiaocheng Zhang , Haitao Fang

We introduce a new multilevel ensemble Kalman filter method (MLEnKF) which consists of a hierarchy of independent samples of ensemble Kalman filters (EnKF). This new MLEnKF method is fundamentally different from the preexisting method…

Numerical Analysis · Mathematics 2020-09-22 Håkon Hoel , Gaukhar Shaimerdenova , Raúl Tempone

Data assimilation, defined as the fusion of data with preexisting knowledge, is particularly suited to elucidating underlying phenomena from noisy/insufficient observations. Although this approach has been widely used in diverse fields,…

Neurons and Cognition · Quantitative Biology 2017-08-18 Lara Escuain-Poole , Jordi Garcia-Ojalvo , Antonio J. Pons

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

Data assimilation (DA) improves prediction of chaotic systems by combining model forecasts with sparse, noisy observations. Many DA methods are inherently probabilistic, but accurate probabilistic DA is often computationally expensive…

Fluid Dynamics · Physics 2026-04-24 Aditya Sai Pranith Ayapilla , Kazuya Miyashita , Yuki Yasuda , Ryo Onishi

Ensemble-based Data Assimilation faces significant challenges in high-dimensional systems due to spurious correlations and ensemble collapse. These issues arise from estimating dense dependencies with limited ensemble sizes. This paper…

Methodology · Statistics 2025-01-16 Berent Ånund Strømnes Lunde

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

A Kalman filter based sequential estimator is presented in the present work. The estimator is integrated in the structure of segregated solvers for the analysis of incompressible flows. This technique provides an augmented flow state…

Fluid Dynamics · Physics 2017-02-22 Marcello Meldi , Alexandre Poux

In this paper, we propose and develop a methodology for nonlinear systems health monitoring by modeling the damage and degradation mechanism dynamics as "slow" states that are augmented with the system "fast" dynamical states. This…

Systems and Control · Computer Science 2017-10-17 Najmeh Daroogheh , Nader Meskin , Khashayar Khorasani

Nonlinear extensions of the Kalman filter (KF), such as the extended Kalman filter (EKF) and the unscented Kalman filter (UKF), are indispensable for state estimation in complex dynamical systems, yet the conditions for a nonlinear KF to…

Systems and Control · Electrical Eng. & Systems 2026-03-25 Shida Jiang , Jaewoong Lee , Shengyu Tao , Scott Moura

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

The robustness of the Kalman filter to double talk and its rapid convergence make it a popular approach for addressing acoustic echo cancellation (AEC) challenges. However, the inability to model nonlinearity and the need to tune control…

Audio and Speech Processing · Electrical Eng. & Systems 2023-12-27 Yixuan Zhang , Meng Yu , Hao Zhang , Dong Yu , DeLiang Wang

Data assimilation techniques, such as ensemble Kalman filtering, have been shown to be a highly effective and efficient way to combine noisy data with a mathematical model to track and forecast dynamical systems. However, when dealing with…

Dynamical Systems · Mathematics 2023-05-17 Stephen A Falconer , David J. B. Lloyd , Naratip Santitissadeekorn
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