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We present an approach for state and parameter estimation in retinal laser treatment by a novel setup where both measurement and heating is performed by a single laser. In this medical application, the temperature that is induced by the…

系统与控制 · 电气工程与系统科学 2021-03-05 Viktoria Kleyman , Manuel Schaller , Mitsuru Wilson , Mario Mordmüller , Ralf Brinkmann , Karl Worthmann , Matthias A. Müller

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…

系统与控制 · 计算机科学 2017-10-17 Najmeh Daroogheh , Nader Meskin , Khashayar Khorasani

This study considers the data assimilation problem in coupled systems, which consists of two components (sub-systems) interacting with each other through certain coupling terms. A straightforward way to tackle the assimilation problem in…

大气与海洋物理 · 物理学 2015-06-22 Xiaodong Luo , Ibrahim Hoteit

Fiber metal laminates (FML) are composite structures consisting of metals and fiber reinforced plastics (FRP) which have experienced an increasing interest as the choice of materials in aerospace and automobile industries. Due to a…

The Ensemble Kalman Filter (EnKF) is a popular sequential data assimilation method that has been increasingly used for parameter estimation and forecast prediction in epidemiological studies. The observation function plays a critical role…

统计方法学 · 统计学 2021-07-20 Leah Mitchell , Andrea Arnold

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…

最优化与控制 · 数学 2013-04-08 Marco A. Iglesias , Kody J. H. Law , Andrew M. Stuart

The Ensemble Kalman Filter (EnKF), as a fundamental data assimilation approach, has been widely used in many fields of the sciences and engineering. When the state variable is of high dimensional accompanied with high resolution…

统计方法学 · 统计学 2025-09-18 Shouxia Wang , Hao-Xuan Sun , Song Xi Chen

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

We propose a new type of the Ensemble Kalman Filter (EnKF), which uses the Fast Fourier Transform (FFT) for covariance estimation from a very small ensemble with automatic tapering, and for a fast computation of the analysis ensemble by…

大气与海洋物理 · 物理学 2011-08-01 Jan Mandel , Jonathan D. Beezley , Volodymyr Y. Kondratenko

An Ensemble Kalman Filter (EnKF, the predictor) is used make a large change in the state, followed by a Particle Filer (PF, the corrector) which assigns importance weights to describe non-Gaussian distribution. The weights are obtained by…

统计计算 · 统计学 2009-07-20 Jan Mandel , Jonathan D. Beezley

In this work, we present the ensemble-marginalized Kalman filter (EnMKF), a sequential algorithm analogous to our previously proposed approach [1,2], for estimating the state and parameters of linear parabolic partial differential equations…

统计计算 · 统计学 2018-05-15 Marco Iglesias , Zaid Sawlan , Marco Scavino , Raul Tempone , Christopher Wood

We consider the solution of inverse problems in dynamic contrast-enhanced imaging by means of Ensemble Kalman Filters. Our quantity of interest is blood perfusion, i.e. blood flow rates in tissue. While existing approaches to compute blood…

数值分析 · 数学 2018-10-23 Peter Zaspel

Accurate modeling and prediction of complex physical systems often rely on data assimilation techniques to correct errors inherent in model simulations. Traditional methods like the Ensemble Kalman Filter (EnKF) and its variants as well as…

机器学习 · 计算机科学 2024-09-12 Phillip Si , Peng Chen

The filtering distribution in hidden Markov models evolves according to the law of a mean-field model in state-observation space. The ensemble Kalman filter (EnKF) approximates this mean-field model with an ensemble of interacting…

机器学习 · 统计学 2025-12-25 Eviatar Bach , Ricardo Baptista , Edoardo Calvello , Bohan Chen , Andrew Stuart

Although mechanical cues are crucial to tissue morphogenesis and development, the tissue mechanical stress field remains poorly characterized. Given traction force timelapse movies, as obtained by traction force microscopy of in vitro…

定量方法 · 定量生物学 2019-04-22 V. Nier , G. Peyret , J. d'Alessandro , S. Ishihara , B. Ladoux , P. Marcq

Data assimilation is a method of uncertainty quantification to estimate the hidden true state by updating the prediction owing to model dynamics with observation data. As a prediction model, we consider a class of nonlinear dynamical…

统计理论 · 数学 2026-03-05 Kota Takeda , Takashi Sakajo

A physics-based methodology for the determination of the localization function for the Ensemble Kalman Filter (EnKF) is proposed. The spatial features of such function evolve dynamically over time according to the relevant instantaneous…

流体动力学 · 物理学 2025-11-13 Sarp Er , Marcello Meldi

The ensemble Kalman filter (EnKF) is a popular technique for performing inference in state-space models (SSMs), particularly when the dynamic process is high-dimensional. Unlike reweighting methods such as sequential Monte Carlo (SMC, i.e.…

The ensemble Kalman filter is a well-known and celebrated data assimilation algorithm. It is of particular relevance as it used for high-dimensional problems, by updating an ensemble of particles through a sample mean and covariance…

数值分析 · 数学 2022-07-27 Neil K. Chada

Legged robots require knowledge of pose and velocity in order to maintain stability and execute walking paths. Current solutions either rely on vision data, which is susceptible to environmental and lighting conditions, or fusion of…

机器人学 · 计算机科学 2019-11-13 Ross Hartley , Maani Ghaffari , Ryan M. Eustice , Jessy W. Grizzle