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Variational data assimilation in continuous time is revisited. The central techniques applied in this paper are in part adopted from the theory of optimal nonlinear control. Alternatively, the investigated approach can be considered as a…

大气与海洋物理 · 物理学 2015-05-18 Jochen Bröcker

The four-dimensional variational data assimilation methodology for assimilating noisy observations into a deterministic model has been the workhorse of forecasting centers for over three decades. While this method provides a computationally…

最优化与控制 · 数学 2023-07-19 Shady E Ahmed , Omer San , Sivaramakrishnan Lakshmivarahan , John M Lewis

Unveiling meaningful geophysical information from seismic data requires to deal with both random and structured "noises". As their amplitude may be greater than signals of interest (primaries), additional prior information is especially…

地球物理 · 物理学 2014-09-25 Mai Quyen Pham , Laurent Duval , Caroline Chaux , Jean-Christophe Pesquet

Flood simulation and forecast capability have been greatly improved thanks to advances in data assimilation (DA) strategies incorporating various types of observations; many are derived from spatial Earth Observation. This paper focuses on…

图像与视频处理 · 电气工程与系统科学 2023-11-30 Thanh Huy Nguyen , Sophie Ricci , Andrea Piacentini , Ehouarn Simon , Raquel Rodriguez Suquet , Santiago Peña Luque

Accurate prediction of shallow water flows relies on precise bottom topography data, yet direct bathymetric surveys are expensive and time-consuming. In contrast, remote sensing platforms such as radar or satellite altimetry provide…

数值分析 · 数学 2026-03-13 Falko Ruppenthal , Dmitri Kuzmin

A new approach to seismic interpretation is proposed to leverage visual perception and human visual system modeling. Specifically, a saliency detection algorithm based on a novel attention model is proposed for identifying subsurface…

计算机视觉与模式识别 · 计算机科学 2022-01-19 Muhammad Amir Shafiq , Zhiling Long , Haibin Di , Ghassan AlRegib

As the severity and occurrence of flood events tend to intensify with climate change, the need for flood forecasting capability increases. In this regard, the Flood Detection, Alert and rapid Mapping (FloodDAM) project, funded by Space for…

图像与视频处理 · 电气工程与系统科学 2023-01-25 Thanh Huy Nguyen , Sophie Ricci , Andrea Piacentini , Christophe Fatras , Peter Kettig , Gwendoline Blanchet , Santiago Pena Luque , Simon Baillarin

Data assimilation (DA) is widely used to combine physical knowledge and observations. It is nowadays commonly used in geosciences to perform parametric calibration. In a context of climate change, old calibrations can not necessarily be…

机器学习 · 统计学 2021-06-23 Rem-Sophia Mouradi , Cédric Goeury , Olivier Thual , Fabrice Zaoui , Pablo Tassi

In atmospheric and turbulent flow modeling, Large Eddy Simulation (LES) is often used to reduce computational cost, while observational data typically originates from the underlying physical system. Motivated by this setting, we study a…

偏微分方程分析 · 数学 2025-08-12 Adam Larios , Ali Pakzad , Nicholas White

The accuracy of simulation-based forecasting in chaotic systems is heavily dependent on high-quality estimates of the system state at the time the forecast is initialized. Data assimilation methods are used to infer these initial conditions…

机器学习 · 计算机科学 2021-11-02 Michael McCabe , Jed Brown

Data assimilation leads naturally to a Bayesian formulation in which the posterior probability distribution of the system state, given the observations, plays a central conceptual role. The aim of this paper is to use this Bayesian…

数据分析、统计与概率 · 物理学 2013-01-01 K. J. H. Law , A. M. Stuart

Although the sequential tsunami scenario detection framework was validated in our previous work, several tasks remain to be resolved from a practical point of view. This study aims to evaluate the performance of the previous tsunami…

计算工程、金融与科学 · 计算机科学 2024-07-08 Reika Nomura , Louise A. Hirao Vermare , Saneiki Fujita , Donsub Rim , Shuji Moriguchi , Randall J. LeVeque , Kenjiro Terada

This work presents the Second-Order Sensitivity Analysis Methodology (2nd-ASAM) for nonlinear systems. This methodology yields exactly and efficiently the second-order functional derivatives of system responses (associated with physical,…

最优化与控制 · 数学 2016-01-26 Dan Gabriel Cacuci

We demonstrate a formulation of the Azouani-Olson-Titi (AOT) algorithm in the MPAS-Ocean implementation of the primitive equations of the ocean, presenting global ocean simulations with realistic coastlines and bathymetry. We observe an…

偏微分方程分析 · 数学 2024-01-12 Adam Larios , Mark R. Petersen , Collin Victor

This paper presents a comparison of two reduced-order, sequential and variational data assimilation methods: the SEEK filter and the R-4D-Var. A hybridization of the two, combining the variational framework and the sequential evolution of…

地球物理 · 物理学 2009-11-13 Céline Robert , Eric Blayo , Jacques Verron

Data-driven prediction and physics-agnostic machine-learning methods have attracted increased interest in recent years achieving forecast horizons going well beyond those to be expected for chaotic dynamical systems. In a separate strand of…

数据分析、统计与概率 · 物理学 2021-05-19 Georg A. Gottwald , Sebastian Reich

Data assimilation combines forecasts from a numerical model with observations. Most of the current data assimilation algorithms consider the model and observation error terms as additive Gaussian noise, specified by their covariance…

Data assimilation is an iterative approach to the problem of estimating the state of a dynamical system using both current and past observations of the system together with a model for the system's time evolution. Rather than solving the…

数据分析、统计与概率 · 物理学 2007-05-23 Brian R. Hunt , Eric J. Kostelich , Istvan Szunyogh

Second derivatives of mathematical models for real-world phenomena are fundamental ingredients of a wide range of numerical simulation methods including parameter sensitivity analysis, uncertainty quantification, nonlinear optimization and…

数学软件 · 计算机科学 2021-10-27 Uwe Naumann , Shubhaditya Burela

A comparison is carried out between two operational wave forecasting/assimilation models for the North Sea, with the emphasis on the assimilation schemes. One model is the WAM model, in combination with an optimal interpolation method…

大气与海洋物理 · 物理学 2008-02-03 A. C. Voorrips , C. de Valk