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We introduce a framework for Data Assimilation (DA) in which the data is split into multiple sets corresponding to low-rank projections of the state space. Algorithms are developed that assimilate some or all of the projected data,…

统计计算 · 统计学 2020-05-19 John Maclean , Erik S Van Vleck

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

To improve the execution speed and efficiency of neural networks in embedded systems, it is crucial to decrease the model size and computational complexity. In addition to conventional compression techniques, e.g., weight pruning and…

机器学习 · 计算机科学 2019-09-17 Qing Yang , Jiachen Mao , Zuoguan Wang , Hai Li

We review the field of data assimilation (DA) from a Bayesian perspective and show that, in addition to its by now common application to state estimation, DA may be used for model selection. An important special case of the latter is the…

应用统计 · 统计学 2017-04-05 Alberto Carrassi , Marc Bocquet , Alexis Hannart , Michael Ghil

Topological data analysis (TDA) approaches are becoming increasingly popular for studying the dependence patterns in multivariate time series data. In particular, various dependence patterns in brain networks may be linked to specific tasks…

统计方法学 · 统计学 2023-12-04 Anass B. El-Yaagoubi , Hernando Ombao

Many dynamical systems are difficult or impossible to model using high fidelity physics based models. Consequently, researchers are relying more on data driven models to make predictions and forecasts. Based on limited training data,…

混沌动力学 · 物理学 2025-04-09 Max M. Chumley , Firas A. Khasawneh

Data assimilation algorithms estimate the state of a dynamical system from partial observations, where the successful performance of these algorithms hinges on costly parameter tuning and on employing an accurate model for the dynamics.…

机器学习 · 统计学 2026-03-24 Melissa Adrian , Daniel Sanz-Alonso , Rebecca Willett

We focus on Partial Differential Equation (PDE) based Data Assimilatio problems (DA) solved by means of variational approaches and Kalman filter algorithm. Recently, we presented a Domain Decomposition framework (we call it DD-DA, for…

机器学习 · 计算机科学 2022-04-01 Rosalba Cacciapuoti , Luisa D'Amore

Increasing the resolution of a model can improve the performance of a data assimilation system: first because model field are in better agreement with high resolution observations, then the corrections are better sustained and, with…

大气与海洋物理 · 物理学 2022-09-07 Sébastien Barthélémy , Julien Brajard , Laurent Bertino , François Counillon

When the heat released by a flame is sufficiently in phase with the acoustic pressure, a self-excited thermoacoustic oscillation can arise. These nonlinear oscillations are one of the biggest challenges faced in the design of safe and…

计算工程、金融与科学 · 计算机科学 2019-06-28 Tullio Traverso , Luca Magri

``Online" data assimilation (DA) is used to generate a new seasonal-resolution reanalysis dataset over the last millennium by combining forecasts from an ocean--atmosphere--sea-ice coupled linear inverse model with climate proxy records.…

大气与海洋物理 · 物理学 2025-01-27 Zilu Meng , Gregory J. Hakim , Eric J. Steig

Data assimilation is a method that combines observations (that is, real world data) of a state of a system with model output for that system in order to improve the estimate of the state of the system and thereby the model output. The model…

数值分析 · 数学 2020-05-18 Melina A. Freitag

A non-intrusive data assimilation methodology is developed to improve the statistical predictions of large-eddy simulations (LES). The ensemble-variational (EnVar) approach aims to minimize a cost function that is defined as the discrepancy…

流体动力学 · 物理学 2021-09-28 Vincent Mons , Yifan Du , Tamer A. Zaki

We construct neuron models from data by transferring information from an observed time series to the state variables and parameters of Hodgkin-Huxley models. When the learning period completes, the model will predict additional observations…

定量方法 · 定量生物学 2025-07-01 Stephen A. Wells , Joseph D. Taylor , Paul G. Morris , Alain Nogaret

Data Assimilation (DA) plays a critical role in atmospheric science by reconstructing spatially continous estimates of the system state, which serves as initial conditions for scientific analysis. While recent advances in diffusion models…

机器学习 · 计算机科学 2025-05-20 Hao Wang , Jindong Han , Wei Fan , Weijia Zhang , Hao Liu

We introduce a mathematical formulation of feature-informed data assimilation (FIDA). In FIDA, the information about feature events, such as shock waves, level curves, wavefronts and peak value, in dynamical systems are used for the…

系统与控制 · 电气工程与系统科学 2022-11-02 Wei Kang , Daniel M. Tartakovsky , Apoorv Srivastava

Various types of measurement techniques, such as Light Detection and Ranging (LiDAR) devices, anemometers, and wind vanes, are extensively utilized in wind energy to characterize the inflow. However, these methods typically gather data at…

流体动力学 · 物理学 2025-02-13 Chang Yan , Shengfeng Xu , Zhenxu Sun , Thorsten Lutz , Dilong Guo , Guowei Yang

Low-order thermoacoustic models are qualitatively correct, but they are typically quantitatively inaccurate. We propose a time-domain bias-aware method to make qualitatively low--order models quantitatively (more) accurate. First, we…

流体动力学 · 物理学 2022-11-10 Andrea Nóvoa , Luca Magri

Ensemble data assimilation is a problem in determining the most likely phase space trajectory of a model of an observed dynamical sys- tem as it receives inputs from measurements passing information to the model. Using methods developed in…

混沌动力学 · 物理学 2015-05-13 Henry D. I. Abarbanel

Continuous data assimilation (CDA) is successfully implemented for the first time for efficient dynamical downscaling of a global atmospheric reanalysis. A comparison of the performance of CDA with the standard grid and spectral nudging…

大气与海洋物理 · 物理学 2019-07-31 Srinivas Desamsetti , Hari Prasad Dasari , Sabique Langodan , Edriss S Titi , Omar Knio , Ibrahim Hoteit