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This paper contains the latest installment of the authors' project on developing ensemble based data assimilation methodology for high dimensional fluid dynamics models. The algorithm presented here is a particle filter that combines model…

Numerical Analysis · Mathematics 2020-04-22 Colin Cotter , Dan Crisan , Darryl Holm , Wei Pan , Igor Shevchenko

The success of the ensemble Kalman filter has triggered a strong interest in expanding its scope beyond classical state estimation problems. In this paper, we focus on continuous-time data assimilation where the model and measurement errors…

Numerical Analysis · Mathematics 2019-06-26 Nikolas Nüsken , Sebastian Reich , Paul J. Rozdeba

Data Assimilation is a cornerstone of atmospheric system modeling, tasked with reconstructing system states by integrating sparse, noisy observations with prior estimation. While traditional approaches like variational and ensemble Kalman…

Machine Learning · Computer Science 2025-11-04 Hao Wang , Zixuan Weng , Jindong Han , Wei Fan , Hao Liu

The adaptive smoothing method (ASM) is a standard data-driven technique used in traffic state estimation. The ASM has free parameters which, in practice, are chosen to be some generally acceptable values based on intuition. However, we note…

Systems and Control · Electrical Eng. & Systems 2023-12-08 Chuhan Yang , Sai Venkata Ramana Ambadipudi , Saif Eddin Jabari

Many problems in the geophysical sciences demand the ability to calibrate the parameters and predict the time evolution of complex dynamical models using sequentially-collected data. Here we introduce a general methodology for the joint…

Computation · Statistics 2018-12-12 Sara Pérez-Vieites , Inés P. Mariño , Joaquín Míguez

The objective of this research is to develop techniques for assimilating GOES-R Series observations in precipitating scenes for the purpose of improving short-term convective-scale forecasts of high impact weather hazards. Whereas one…

Atmospheric and Oceanic Physics · Physics 2020-04-20 Kyle A. Hilburn , Imme Ebert-Uphoff , Steven D. Miller

Multi-model projections in climate studies are performed to quantify uncertainty and improve reliability in climate projections. The challenging issue is that there is no unique way to obtain performance metrics, nor is there any consensus…

Atmospheric and Oceanic Physics · Physics 2021-09-13 Ehsan Mosadegh , Iman Babaeian

This paper introduces an adaptive physics-guided neural network (APGNN) framework for predicting quality attributes from image data by integrating physical laws into deep learning models. The APGNN adaptively balances data-driven and…

Methodology · Statistics 2024-11-18 David Shulman , Itai Dattner

The objective of this paper is to develop an Artificial Neural Network (ANN) model to estimate simultaneously, parameters and state of a brushed DC machine. The proposed ANN estimator is novel in the sense that his estimates simultaneously…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Hacene Mellah , Kamel Eddine Hemsas , Rachid Taleb

Recent studies have demonstrated that it is possible to combine machine learning with data assimilation to reconstruct the dynamics of a physical model partially and imperfectly observed. Data assimilation is used to estimate the system…

Machine Learning · Statistics 2022-10-26 Alban Farchi , Marcin Chrust , Marc Bocquet , Patrick Laloyaux , Massimo Bonavita

Analyzing the validity and success of a data assimilation algorithm when some state variable observations are not available is an important problem in meteorology and engineering. We present an improved data assimilation algorithm for…

Analysis of PDEs · Mathematics 2016-08-18 Aseel Farhat , Evelyn Lunasin , Edriss S. Titi

This paper re-examines the problem of parameter estimation in Bayesian networks with missing values and hidden variables from the perspective of recent work in on-line learning [Kivinen & Warmuth, 1994]. We provide a unified framework for…

Machine Learning · Computer Science 2013-02-08 Eric Bauer , Daphne Koller , Yoram Singer

Recently, artificial neural networks (ANNs) in conjunction with stochastic gradient descent optimization methods have been employed to approximately compute solutions of possibly rather high-dimensional partial differential equations…

Numerical Analysis · Mathematics 2021-10-12 Lukas Gonon , Philipp Grohs , Arnulf Jentzen , David Kofler , David Šiška

Due to limited computational resources, medium-range temperature forecasts typically rely on low-resolution numerical weather prediction (NWP) models, which are prone to systematic and random errors. We propose a method that integrates a…

Atmospheric and Oceanic Physics · Physics 2026-04-09 Takuya Inoue , Takuya Kawabata

This study aims to improve the accuracy of weather predictions by discovering spatial correlations between Earth observations and atmospheric states. Existing numerical weather prediction (NWP) systems predict future atmospheric states at…

Machine Learning · Computer Science 2025-11-11 Hyeon-Ju Jeon , Jeon-Ho Kang , In-Hyuk Kwon , O-Joun Lee

A promising method for improving the representation of clouds in climate models, and hence climate projections, is to develop machine learning-based parameterizations using output from global storm-resolving models. While neural networks…

Atmospheric and Oceanic Physics · Physics 2025-05-06 Arthur Grundner , Tom Beucler , Pierre Gentine , Veronika Eyring

The present work is aimed to examine the potential of advanced machine learning strategies to predict the monthly rainfall (precipitation) for the Indus Basin, using climatological variables such as air temperature, geo-potential height,…

Signal Processing · Electrical Eng. & Systems 2019-01-27 Hamidreza Ghasemi Damavandi , Reepal Shah

Machine learning models have been employed to perform either physics-free data-driven or hybrid dynamical downscaling of climate data. Most of these implementations operate over relatively small downscaling factors because of the challenge…

Atmospheric and Oceanic Physics · Physics 2023-02-24 Daniel Getter , Julie Bessac , Johann Rudi , Yan Feng

Micrometeorology, city comfort, land use management and air quality monitoring increasingly become important environmental issues. To serve the needs, meteorology needs to achieve a serious advance in representation and forecast on…

Atmospheric and Oceanic Physics · Physics 2010-02-09 Igor Esau

The prediction of tool wear helps minimize costs and enhance product quality in manufacturing. While existing data-driven models using machine learning and deep learning have contributed to the accurate prediction of tool wear, they often…

Computational Engineering, Finance, and Science · Computer Science 2023-12-01 Tam T. Truong , Jay Airao , Panagiotis Karras , Faramarz Hojati , Bahman Azarhoushang , Ramin Aghababaei