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Data assimilation has been applied to coastal hydrodynamic models to better estimate system states or parameters by incorporating observed data into the model. Kalman Filter (KF) is one of the most studied data assimilation methods whose…

大气与海洋物理 · 物理学 2016-07-05 Milad Hooshyar , Stephen C. Medeiros , Dingbao Wang , Scott C. Hagen

Approaching energy coupling in laser-irradiated metals, we point out the role of electron-electron collision as an efficient control factor for ultrafast optical absorption. The high degree of laser-induced electron-ion nonequilibrium…

光学 · 物理学 2008-12-18 Jean-Philippe Colombier , Patrick Combis , Eric Audouard , Razvan Stoian

The ensemble Kalman filter (EnKF) and ensemble square root filter (ESRF) are data assimilation methods used to combine high dimensional, nonlinear dynamical models with observed data. Despite their widespread usage in climate science and…

概率论 · 数学 2016-02-17 X. T. Tong , A. J. Majda , D. Kelly

Currently, free flaps and pedicled flaps are assessed for reperfusion in post-operative care using colour, capillary refill, temperature, texture and Doppler signal (if available). While these techniques are effective, they are prone to…

医学物理 · 物理学 2022-04-18 Mark Main , Richard JJ Pilkington , Graham M Gibson , Akhil Kallepalli

Data assimilation is concerned with sequentially estimating a temporally-evolving state. This task, which arises in a wide range of scientific and engineering applications, is particularly challenging when the state is high-dimensional and…

机器学习 · 统计学 2021-07-21 Yuming Chen , Daniel Sanz-Alonso , Rebecca Willett

The ensemble Kalman filter (EnKF) is a Monte Carlo based implementation of the Kalman filter (KF) for extremely high-dimensional, possibly nonlinear and non-Gaussian state estimation problems. Its ability to handle state dimensions in the…

统计方法学 · 统计学 2018-02-12 Michael Roth , Gustaf Hendeby , Carsten Fritsche , Fredrik Gustafsson

The ensemble Kalman filter (EnKF) is a reliable data assimilation tool for high-dimensional meteorological problems. On the other hand, the EnKF can be interpreted as a particle filter, and particle filters collapse in high-dimensional…

数值分析 · 数学 2016-06-01 Matthias Morzfeld , Daniel Hodyss , Chris Snyder

Filtering - the task of estimating the conditional distribution for states of a dynamical system given partial and noisy observations - is important in many areas of science and engineering, including weather and climate prediction.…

机器学习 · 计算机科学 2025-03-25 Eviatar Bach , Ricardo Baptista , Enoch Luk , Andrew Stuart

We derive symmetry preserving invariant extended Kalman filters (IEKF) on matrix Lie groups. These Kalman filters have an advantage over conventional extended Kalman filters as the error dynamics for such filters are independent of the…

最优化与控制 · 数学 2020-01-01 Karmvir Singh Phogat , Dong Eui Chang

Accurate structural response prediction forms a main driver for structural health monitoring and control applications. This often requires the proposed model to adequately capture the underlying dynamics of complex structural systems. In…

机器学习 · 计算机科学 2023-07-04 Wei Liu , Zhilu Lai , Kiran Bacsa , Eleni Chatzi

This study presents a method of estimating battery cell core and surface temperature using a thermal model coupled with electrical impedance measurement, rather than using direct surface temperature measurements. This is advantageous over…

系统与控制 · 计算机科学 2015-04-06 Robert R. Richardson , David A. Howey

Transmission electron microscopes (TEMs) enable atomic-scale imaging but suffer from aberrations caused by lens imperfections and environmental conditions, reducing image quality. These aberrations can be compensated by adjusting…

系统与控制 · 电气工程与系统科学 2026-04-20 Jilles S. van Hulst , Erik M. Franken , Bart J. Janssen , W. P. M. H. Heemels , Duarte J. Antunes

The Extended Kalman Filter (EKF) is both the historical algorithm for multi-sensor fusion and still state of the art in numerous industrial applications. However, it may prove inconsistent in the presence of unobservability under a group of…

机器人学 · 计算机科学 2019-03-14 Martin Brossard , Axel Barrau , Silvère Bonnabel

Inertial motion capture systems widely use low-cost IMUs to obtain the orientation of human body segments, but these sensors alone are unable to estimate link positions. Therefore, this research used a SLAM method in conjunction with…

机器人学 · 计算机科学 2024-02-16 Mohammad Mahdi Azarbeik , Hamidreza Razavi , Kaveh Merat , Hassan Salarieh

In the process of reproducing the state dynamics of parameter dependent distributed systems, data from physical measurements can be incorporated into the mathematical model to reduce the parameter uncertainty and, consequently, improve the…

数值分析 · 数学 2022-10-06 Francesco A. B. Silva , Cecilia Pagliantini , Martin Grepl , Karen Veroy

The Ensemble Kalman filter assumes the observations to be Gaussian random variables with a pre-specified mean and variance. In practice, observations may also have detection limits, for instance when a gauge has a minimum or maximum value.…

最优化与控制 · 数学 2018-11-14 Abhishek Shah , Mohamad El Gharamti , Laurent Bertino

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

This paper presents a computational model, based on the Finite Element Method (FEM), that simulates the thermal response of laser-irradiated tissue. This model addresses a gap in the current ecosystem of surgical robot simulators, which…

This paper investigates an approximation scheme of the optimal nonlinear Bayesian filter based on the Gaussian mixture representation of the state probability distribution function. The resulting filter is similar to the particle filter,…

数据分析、统计与概率 · 物理学 2015-05-30 Ibrahim Hoteit , Xiaodong Luo , Dinh-Tuan Pham

The intersection between classical data assimilation methods and novel machine learning techniques has attracted significant interest in recent years. Here we explore another promising solution in which diffusion models are used to…

数学物理 · 物理学 2024-04-02 Feng Bao , Hristo G. Chipilski , Siming Liang , Guannan Zhang , Jeffrey S. Whitaker