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Dynamic Mode Decomposition (DMD) is a numerical method that seeks to fit timeseries data to a linear dynamical system. In doing so, DMD decomposes dynamic data into spatially coherent modes that evolve in time according to exponential…

Computer Vision and Pattern Recognition · Computer Science 2026-02-26 Marco Mignacca , Simone Brugiapaglia , Jason J. Bramburger

In this paper, we combine concepts of the generalized multiscale finite element method and mode decomposition methods to construct a robust local-global approach for model reduction of flows in high-contrast porous media. This is achieved…

Computational Physics · Physics 2013-01-25 Mehdi Ghommem , Michael Presho , Victor M. Calo , Yalchin Efendiev

This paper discusses the predictive capability of Dynamic Mode Decomposition (DMD) in the context of orbital mechanics. The focus is specifically on the Hankel variant of DMD which uses a stacked set of time-delayed observations for system…

Systems and Control · Electrical Eng. & Systems 2026-02-26 Sriram Narayanan , Mohamed Naveed Gul Mohamed , Indranil Nayak , Suman Chakravorty , Mrinal Kumar

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

Wind flow can be highly unpredictable and can suffer substantial fluctuations in speed and direction due to the shape and height of hills, mountains, and valleys, making accurate wind speed (WS) forecasting essential in complex terrain.…

Machine Learning · Computer Science 2024-08-29 Sourav Malakar , Saptarsi Goswami , Amlan Chakrabarti , Bhaswati Ganguli

We introduce a model-agnostic forward diffusion process for time-series forecasting that decomposes signals into spectral components, preserving structured temporal patterns such as seasonality more effectively than standard diffusion.…

Machine Learning · Statistics 2026-02-17 Francisco Caldas , Sahil Kumar , Cláudia Soares

Recent advancements in meteorology involve the use of ground-based sky cameras for cloud observation. Analyzing images from these cameras helps in calculating cloud coverage and understanding atmospheric phenomena. Traditionally, cloud…

Computer Vision and Pattern Recognition · Computer Science 2025-01-14 Yijie Li , Hewei Wang , Shaofan Wang , Yee Hui Lee , Muhammad Salman Pathan , Soumyabrata Dev

Image restoration under adverse weather conditions is a critical task for many vision-based applications. Recent all-in-one frameworks that handle multiple weather degradations within a unified model have shown potential. However, the…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Jiamei Xiong , Xuefeng Yan , Yongzhen Wang , Wei Zhao , Xiao-Ping Zhang , Mingqiang Wei

In this paper, we attempt to employ convolutional recurrent neural networks for weather temperature estimation using only image data. We study ambient temperature estimation based on deep neural networks in two scenarios a) estimating…

Computer Vision and Pattern Recognition · Computer Science 2018-01-26 Wei-Ta Chu , Kai-Chia Ho , Ali Borji

Accurate forecasts of distributed solar generation are necessary to reduce negative impacts resulting from the increased uptake of distributed solar photovoltaic (PV) systems. However, the high variability of solar generation over short…

Machine Learning · Computer Science 2024-11-19 Maneesha Perera , Julian De Hoog , Kasun Bandara , Saman Halgamuge

Dynamic Mode Decomposition (DMD) is a data-driven decomposition technique extracting spatio-temporal patterns of time-dependent phenomena. In this paper, we perform a comprehensive theoretical analysis of various variants of DMD. We provide…

Numerical Analysis · Mathematics 2022-02-15 Tim Krake , Daniel Weiskopf , Bernhard Eberhardt

Moving clouds affect the global solar irradiance that reaches the surface of the Earth. As a consequence, the amount of resources available to meet the energy demand in a smart grid powered using Photovoltaic (PV) systems depends on the…

Image and Video Processing · Electrical Eng. & Systems 2022-01-04 Guillermo Terrén-Serrano , Manel Martínez-Ramón

In this endeavor, we developed a comprehensive system that processes integrated visual features derived from video frames captured by a regular camera, along with depth details obtained from a point cloud scanner. This system is designed to…

Computer Vision and Pattern Recognition · Computer Science 2023-09-26 Alexander Liu

Video prediction is a crucial task for intelligent agents such as robots and autonomous vehicles, since it enables them to anticipate and act early on time-critical incidents. State-of-the-art video prediction methods typically model the…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Eliyas Suleyman , Paul Henderson , Nicolas Pugeault

This paper proposes an anticipative transformer-based model for short-term solar irradiance forecasting. Given a sequence of sky images, our proposed vision transformer encodes features of consecutive images, feeding into a transformer…

Computer Vision and Pattern Recognition · Computer Science 2023-05-31 Thomas M. Mercier , Tasmiat Rahman , Amin Sabet

Aerosol forecasting is essential for air quality warnings, health risk assessment, and climate change mitigation. However, it is more complex than weather forecasting due to the intricate interactions between aerosol physicochemical…

In recent years, advances in Artificial Intelligence have significantly impacted computer science, particularly in the field of computer vision, enabling solutions to complex problems such as video frame prediction. Video frame prediction…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Jose M. Sánchez Velázquez , Mingbo Cai , Andrew Coney , Álvaro J. García- Tejedor , Alberto Nogales

The dynamic mode decomposition (DMD) is a data-driven approach that extracts the dominant features from spatiotemporal data. In this work, we introduce sparse-mode DMD, a new variant of the optimized DMD framework that specifically…

Machine Learning · Statistics 2025-07-29 Sara M. Ichinaga , Steven L. Brunton , Aleksandr Y. Aravkin , J. Nathan Kutz

Antarctic sea ice has undergone unprecedented changes in recent years, raising questions about how this key geophysical system is responding to climate change. Decades of slow expansion were replaced by a precipitous decline in 2014-2017, a…

Atmospheric and Oceanic Physics · Physics 2026-05-28 Peter Yatsyshin , Karl Lapo , Oliver Strickson , Louisa van Zeeland , J. Scott Hosking , J. Nathan Kutz

We present FORECAST, a new flexible and adaptable software package that performs forward modeling of the output of any cosmological hydrodynamical simulations to create a wide range of realistic synthetic astronomical images. With…

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