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Through ensemble-based data assimilation (DA), we address one of the most notorious difficulties in phase-resolved ocean wave forecast, regarding the deviation of numerical solution from the true surface elevation due to the chaotic nature…

大气与海洋物理 · 物理学 2021-07-01 Guangyao Wang , Yulin Pan

This paper develops an efficient implementation of the ensemble Kalman filter based on a modified Cholesky decomposition for inverse covariance matrix estimation. This implementation is named EnKF-MC. Background errors corresponding to…

统计理论 · 数学 2016-05-31 Elias D. Nino , Adrian Sandu , Xinwei Deng

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…

地球物理 · 物理学 2016-01-18 Jian-Xun Wang , Hui Tang , Heng Xiao , Robert Weiss

Concurrent observation technologies have made high-precision real-time data available in large quantities. Data assimilation (DA) is concerned with how to combine this data with physical models to produce accurate predictions. For…

数值分析 · 数学 2020-08-26 Jana de Wiljes , Xin T. Tong

We jointly invert for magnetic and velocity fields at the core surface over the period 1997-2017, directly using ground-based observatory time series and measurements from the CHAMP and Swarm satellites. Satellite data are reduced to the…

The Gaussian process state-space models (GPSSMs) represent a versatile class of data-driven nonlinear dynamical system models. However, the presence of numerous latent variables in GPSSM incurs unresolved issues for existing variational…

机器学习 · 计算机科学 2024-07-23 Zhidi Lin , Yiyong Sun , Feng Yin , Alexandre Hoang Thiéry

We investigate the combined use of a Kinect depth sensor and of a stochastic data assimilation method to recover free-surface flows. More specifically, we use a Weighted ensemble Kalman filter method to reconstruct the complete state of…

流体动力学 · 物理学 2016-01-05 Benoit Combès , Dominique Heitz , Anthony Guibert , Etienne Mémin

Accurate data assimilation (DA) for systems with piecewise-smooth or discontinuous state variables remains a significant challenge, as conventional covariance-based ensemble Kalman filter approaches often fail to effectively balance…

数值分析 · 数学 2025-10-09 Tongtong Li , Anne Gelb , Yoonsang Lee

A scheme is proposed to improve the performance of the ensemble-based Kalman Filters during the initial spin-up period. By applying the no-cost ensemble Kalman Smoother, this scheme allows the model solutions for the ensemble to be "running…

混沌动力学 · 物理学 2008-06-03 Eugenia Kalnay , Shu-Chih Yang

A combination of diamagnetic pumping and a nonlocal alpha-effect of the Babcock-Leighton type in a solar dynamo model helps to reproduce observations of solar magnetic activity. The period of the solar cycle can be reproduced without…

太阳与恒星天体物理 · 物理学 2015-05-30 L. L. Kitchatinov , S. V. Olemskoy

The ensemble Kalman filter (EnKF) has become a standard methodology for state estimation in high-dimensional systems, yet its various stochastic and deterministic formulations often appear conceptually disconnected. In this paper, a unified…

系统与控制 · 电气工程与系统科学 2026-04-21 Jin Won Kim

The fusion of camera sensor and inertial data is a leading method for ego-motion tracking in autonomous and smart devices. State estimation techniques that rely on non-linear filtering are a strong paradigm for solving the associated…

机器人学 · 计算机科学 2022-05-30 Arno Solin , Rui Li , Andrea Pilzer

The ensemble Kalman filter (EnKF) is a recursive filter suitable for problems with a large number of variables, such as discretizations of partial differential equations in geophysical models. The EnKF originated as a version of the Kalman…

大气与海洋物理 · 物理学 2009-01-26 Jan Mandel

We consider the problem of filtering dynamical systems, possibly stochastic, using observations of statistics. Thus, the computational task is to estimate a time-evolving density $\rho(v, t)$ given noisy observations of the true density…

统计方法学 · 统计学 2024-03-12 Eviatar Bach , Tim Colonius , Isabel Scherl , Andrew Stuart

Ensemble Kalman filter (EnKF) has been widely used in state estimation and parameter estimation for the dynamic system where observational data is obtained sequentially in time. To reduce uncertainty and accelerate posterior inference, a…

数值分析 · 数学 2018-11-14 Yuming Ba , Lijian Jiang , Na Ou

We build on a long-standing tradition in astronomical adaptive optics (AO) of specifying performance metrics and error budgets using linear systems modeling in the spatial-frequency domain. Our goal is to provide a comprehensive tool for…

天体物理仪器与方法 · 物理学 2017-10-11 Carlos M. Correia , Charlotte Z. Bond , Jean-François Sauvage , Thierry Fusco , Rodolphe Conan , Peter Wizinowich

The task of dynamic flow estimation is to construct an approximation of an evolving flow---and particularly, its response to disturbances---using measurements from available sensors. Building from previous work by Darakananda et al.~(Phys…

流体动力学 · 物理学 2021-05-19 Mathieu Le Provost , Jeff D. Eldredge

For oceanographic applications, probabilistic forecasts typically have to deal with i) high-dimensional complex models, and ii) very sparse spatial observations. In search-and-rescue operations at sea, for instance, the short-term…

应用统计 · 统计学 2023-02-15 Florian Beiser , Håvard Heitlo Holm , Jo Eidsvik

Data-driven modelling techniques provide a method for deriving models of dynamical systems directly from complicated data streams. However, tracking and forecasting such data streams poses a significant challenge to most methods, as they…

动力系统 · 数学 2025-03-25 Stephen A Falconer , David J. B. Lloyd , Naratip Santitissadeekorn

The ensemble Kalman filter (EnKF) is widely used to sample a probability density function (pdf) generated by a stochastic model conditioned by noisy data. This pdf can be either a joint posterior that describes the evolution of the state of…

数据分析、统计与概率 · 物理学 2016-08-08 Matthias Morzfeld , Daniel Hodyss