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Ongoing advancements in computer vision, particularly in pattern recognition and scene classification, have enabled new applications in environmental monitoring. Deep learning now offers non-contact methods for assessing water quality and…

Computer Vision and Pattern Recognition · Computer Science 2025-09-04 Shubham Laxmikant Deshmukh , Matthew Wilchek , Feras A. Batarseh

We introduce the dynamics mode decomposition for monitoring wide-area power grid networks from sparse measurement data. The mathematical framework fuses data from multiple sensors based on multivariate statistics, providing accurate full…

Pattern Formation and Solitons · Physics 2019-06-11 J. Jorge Ramos , J. Nathan Kutz

The increase in renewable energy sources (RESs), like wind or solar power, results in growing uncertainty also in transmission grids. This affects grid stability through fluctuating energy supply and an increased probability of overloaded…

Systems and Control · Electrical Eng. & Systems 2022-04-13 Rebecca Bauer , Tillmann Mühlpfordt , Nicole Ludwig , Veit Hagenmeyer

Linear diffusion processes serve as canonical continuous-time models for dynamic decision-making under uncertainty. These systems evolve according to drift matrices that specify the instantaneous rates of change in the expected system…

Machine Learning · Computer Science 2025-06-10 Mohamad Kazem Shirani Faradonbeh , Sadegh Shirani , Mohsen Bayati

Risk assessment in casualty insurance, such as flood risk, traditionally relies on extreme-value methods that emphasizes rare events. These approaches are well-suited for characterizing tail risk, but do not capture the broader dynamics of…

Applications · Statistics 2025-10-22 Samuel Perreault , Silvana M. Pesenti , Daniyal Shahzad

Human motion prediction is a cornerstone of human-robot collaboration (HRC), as robots need to infer the future movements of human workers based on past motion cues to proactively plan their motion, ensuring safety in close collaboration…

Computer Vision and Pattern Recognition · Computer Science 2024-09-20 Sibo Tian , Minghui Zheng , Xiao Liang

Dynamic mode decomposition (DMD) is a powerful and increasingly popular tool for performing spectral analysis of fluid flows. However, it requires data that satisfy the Nyquist-Shannon sampling criterion. In many fluid flow experiments,…

Fluid Dynamics · Physics 2014-09-17 Jonathan H. Tu , Clarence W. Rowley , J. Nathan Kutz , Jessica K. Shang

To enhance the accuracy of power load forecasting in wind farms, this study introduces an advanced combined forecasting method that integrates Variational Mode Decomposition (VMD) with an Improved Particle Swarm Optimization (IPSO)…

Machine Learning · Computer Science 2024-12-17 Qiang Xie

We study the performance of transformer architectures for multivariate time-series forecasting in low-data regimes consisting of only a few years of daily observations. Using synthetically generated processes with known temporal and…

Machine Learning · Computer Science 2026-02-11 Cyril Garcia , Guillaume Remy

In this study, an efficient reanalysis strategy for dynamic topology optimization is proposed. Compared with other related studies, an online successive dynamic reanalysis method and POD-based approximate dynamic displacement strategy are…

Numerical Analysis · Mathematics 2023-05-16 Shuhao Li , Hu Wang , Jichao Yin , Daozhen Guo , Guangyao Li

Simulating and predicting the water level/stage in river systems is essential for flood warnings, hydraulic operations, and flood mitigations. Physics-based detailed hydrological and hydraulic computational tools, such as HEC-RAS, MIKE, and…

Recovering dynamical equations from observed noisy data is the central challenge of system identification. We develop a statistical mechanics approach to analyze sparse equation discovery algorithms, which typically balance data fit and…

Statistical Mechanics · Physics 2025-09-16 Andrei A. Klishin , Joseph Bakarji , J. Nathan Kutz , Krithika Manohar

In this study, a novel semi-implicit second-order temporal scheme combined with the finite element method for space discretization is proposed to solve the coupled system of infiltration and solute transport in unsaturated porous media. The…

Numerical Analysis · Mathematics 2024-06-11 Nour-eddine Toutlini , Abdelaziz Beljadid , Azzeddine Soulaïmani

Extreme weather events, intensified by climate change, increasingly challenge aging combined sewer systems, raising the risk of untreated wastewater overflow. Accurate forecasting of sewer overflow basin filling levels can provide…

Machine Learning · Computer Science 2026-04-22 Tianheng Ling , Vipin Singh , Chao Qian , Felix Biessmann , Gregor Schiele

As the costs of sensors and associated IT infrastructure decreases - as exemplified by the Internet of Things - increasing volumes of observational data are becoming available for use by environmental scientists. However, as the number of…

Machine Learning · Statistics 2022-01-26 Charlie Kirkwood , Theo Economou , Henry Odbert , Nicolas Pugeault

A deeper understanding of the drivers of evapotranspiration and the modelling of its constituent parts (evaporation and transpiration) could be of significant importance to the monitoring and management of water resources globally over the…

Machine Learning · Computer Science 2022-05-02 Adam Stapleton , Elke Eichelmann , Mark Roantree

We study the problem of training diffusion models to sample from a distribution with a given unnormalized density or energy function. We benchmark several diffusion-structured inference methods, including simulation-based variational…

Sustainable management of groundwater resources under changing climatic conditions require an application of reliable and accurate predictions of groundwater levels. Mechanistic multi-scale, multi-physics simulation models are often too…

We present a numerical methodology for construction of reduced order models, ROMs, of fluid flows through the combination of flow modal decomposition and regression analysis. Spectral proper orthogonal decomposition, SPOD, is applied to…

Fluid Dynamics · Physics 2019-07-24 Hugo F. S. Lui , William R. Wolf

Stream-flow forecasting for small rivers has always been of great importance, yet comparatively challenging due to the special features of rivers with smaller volume. Artificial Intelligence (AI) methods have been employed in this area for…

Machine Learning · Computer Science 2020-01-17 Youchuan Hu , Le Yan , Tingting Hang , Jun Feng
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