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Fitting nonlinear dynamical models to sparse and noisy observations is fundamentally challenging. Identifying dynamics requires data assimilation (DA) to estimate system states, but DA requires an accurate dynamical model. To break this…

Machine Learning · Computer Science 2024-09-12 Vadim Zinchenko , David S. Greenberg

A deterministic multiscale toy model is studied in which a chaotic fast subsystem triggers rare transitions between slow regimes, akin to weather or climate regimes. Using homogenization techniques, a reduced stochastic parametrization…

Data Analysis, Statistics and Probability · Physics 2012-04-11 Lewis Mitchell , Georg A. Gottwald

This paper presents a novel centralized, variational data assimilation approach for calibrating transient dynamic models in electrical power systems, focusing on load model parameters. With the increasing importance of inverter-based…

Optimization and Control · Mathematics 2023-11-15 Ahmed Attia , D. Adrian Maldonado , Emil Constantinescu , Mihai Anitescu

When fitting statistical models to variables in geoscientific disciplines such as hydrology, it is a customary practice to regionalize - to divide a large spatial domain into multiple regions and study each region separately - instead of…

Machine Learning · Computer Science 2022-03-24 Kuai Fang , Daniel Kifer , Kathryn Lawson , Dapeng Feng , Chaopeng Shen

Predictions of global climate models typically operate on coarse spatial scales due to the large computational costs of climate simulations. This has led to a considerable interest in methods for statistical downscaling, a similar process…

Artificial Intelligence · Computer Science 2024-06-03 Christina Winkler , Paula Harder , David Rolnick

In the era of big data, managing dynamic data flows efficiently is crucial as traditional storage models struggle with real-time regulation and risk overflow. This paper introduces Data Dams, a novel framework designed to optimize data…

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…

Fluid Dynamics · Physics 2021-09-28 Vincent Mons , Yifan Du , Tamer A. Zaki

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…

Machine Learning · Computer Science 2025-05-20 Hao Wang , Jindong Han , Wei Fan , Weijia Zhang , Hao Liu

A precise forecast for droughts is of considerable value to scientific research, agriculture, and water resource management. With emerging developments of data-driven approaches for hydro-climate modeling, this paper investigates an…

Machine Learning · Computer Science 2022-08-25 Shiheng Duan , Xiurui Zhang

Research on Artificial Intelligence (AI)-based Data Assimilation (DA) is expanding rapidly. However, the absence of an objective, comprehensive, and real-world benchmark hinders the fair comparison of diverse methods. Here, we introduce…

Machine Learning · Computer Science 2026-02-17 Wuxin Wang , Weicheng Ni , Ben Fei , Tao Han , Lilan Huang , Taikang Yuan , Xiaoyong Li , Lei Bai , Boheng Duan , Kaijun Ren

In recent years, climate extremes such as floods have created significant environmental and economic hazards for Australia. Deep learning methods have been promising for predicting extreme climate events; however, large flooding events…

Machine Learning · Computer Science 2025-02-12 Rohitash Chandra , Arpit Kapoor , Siddharth Khedkar , Jim Ng , R. Willem Vervoort

Generating high-quality time-series data is challenging because real-world signals often exhibit multimodal patterns and multiscale dynamics, including oscillations and high-frequency variations. Flow Matching (FM) offers an efficient…

Machine Learning · Computer Science 2026-05-29 Junru Zhang , Lang Feng , Jinbo Wang , Xu Guo , Yucheng Wang , Han Yu , Min Wu , Yabo Dong , Duanqing Xu

Long Short-Term Memory Networks (LSTMs) have been applied to daily discharge prediction with remarkable success. Many practical scenarios, however, require predictions at more granular timescales. For instance, accurate prediction of short…

Machine Learning · Computer Science 2021-04-20 Martin Gauch , Frederik Kratzert , Daniel Klotz , Grey Nearing , Jimmy Lin , Sepp Hochreiter

Statistical downscaling of global climate models (GCMs) allows researchers to study local climate change effects decades into the future. A wide range of statistical models have been applied to downscaling GCMs but recent advances in…

Machine Learning · Statistics 2017-02-15 Thomas Vandal , Evan Kodra , Auroop R Ganguly

This paper introduces a \textit{Process-Guided Learning (Pril)} framework that integrates physical models with recurrent neural networks (RNNs) to enhance the prediction of dissolved oxygen (DO) concentrations in lakes, which is crucial for…

Machine Learning · Computer Science 2024-11-21 Runlong Yu , Chonghao Qiu , Robert Ladwig , Paul C. Hanson , Yiqun Xie , Yanhua Li , Xiaowei Jia

We consider the problem of forecasting complex, nonlinear space-time processes when observations provide only partial information of on the system's state. We propose a natural data-driven framework, where the system's dynamics are modelled…

Systems and Control · Computer Science 2019-03-01 Ibrahim Ayed , Emmanuel de Bézenac , Arthur Pajot , Julien Brajard , Patrick Gallinari

Extreme streamflow is a key indicator of flood risk, and quantifying the changes in its distribution under non-stationary climate conditions is key to mitigating the impact of flooding events. We propose a non-stationary process mixture…

Methodology · Statistics 2024-05-08 Reetam Majumder , Brian Reich

A large fraction of major waterways have dams influencing streamflow, which must be accounted for in large-scale hydrologic modeling. However, daily streamflow prediction for basins with dams is challenging for various modeling approaches,…

Machine Learning · Computer Science 2021-06-09 Wenyu Ouyang , Kathryn Lawson , Dapeng Feng , Lei Ye , Chi Zhang , Chaopeng Shen

A Data Assimilation (DA) strategy based on an ensemble Kalman filter (EnKF) is used to enhance the predictive capabilities of scale resolving numerical tools for the analysis of flows exhibiting cyclic behaviour. More precisely, an ensemble…

Fluid Dynamics · Physics 2025-03-20 Lucas Villanueva , Karine Truffin , Jacques Borée , Marcello Meldi

Much sequential data exhibits highly non-uniform information distribution. This cannot be correctly modeled by traditional Long Short-Term Memory (LSTM). To address that, recent works have extended LSTM by adding more activations between…

Neural and Evolutionary Computing · Computer Science 2019-03-07 Yifeng Zhang , Ka-Ho Chow , S. -H. Gary Chan