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We propose TopoFlow (Topography-aware pollutant Flow learning), a physics-guided neural network for efficient, high-resolution air quality prediction. To explicitly embed physical processes into the learning framework, we identify two…

Machine Learning · Computer Science 2026-04-13 Ammar Kheder , Helmi Toropainen , Wenqing Peng , Samuel Antão , Jia Chen , Michael Boy , Zhi-Song Liu

Mitigating the substantial undesirable impact of transportation systems on the environment is paramount. Thus, predicting Greenhouse Gas (GHG) emissions is one of the profound topics, especially with the emergence of intelligent…

Signal Processing · Electrical Eng. & Systems 2020-12-07 Lama Alfaseeh , Ran Tu , Bilal Farooq , Marianne Hatzopoulou

The Kalman filter and Rauch-Tung-Striebel (RTS) smoother are optimal for state estimation in linear dynamic systems. With nonlinear systems, the challenge consists in how to propagate uncertainty through the state transitions and output…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Simon Kuang , Xinfan Lin

Data fusion models are widely used in air quality monitoring to integrate in situ and large-scale gridded products, offering spatially complete and temporally detailed estimates. However, traditional Gaussian-based models often…

Applications · Statistics 2026-05-18 M. Daniela Cuba , Craig Wilkie , Marian Scott , Daniela Castro-Camilo

Downscaling is necessary to generate high-resolution observation data to validate the climate model forecast or monitor rainfall at the micro-regional level operationally. Dynamical and statistical downscaling models are often used to get…

Atmospheric and Oceanic Physics · Physics 2023-02-28 Bipin Kumar , Rajib Chattopadhyay , Manmeet Singh , Niraj Chaudhari , Karthik Kodari , Amit Barve

Extreme floods pose escalating risks in a changing climate, yet forecasting remains challenging due to peak flow underestimation and high uncertainty. We introduce DRUM, a diffusion-based probabilistic deep learning approach that advances…

Fine-grained air pollution forecasting is crucial for urban management and the development of healthy buildings. Deploying portable sensors on mobile platforms such as cars and buses offers a low-cost, easy-to-maintain, and wide-coverage…

Machine Learning · Computer Science 2025-12-05 Nan Zhou , Weijie Hong , Huandong Wang , Jianfeng Zheng , Qiuhua Wang , Yali Song , Xiao-Ping Zhang , Yong Li , Xinlei Chen

This paper is concerned with non-uniform fully-mixed FEMs for dynamic coupled Stokes-Darcy model with the well-known Beavers-Joseph-Saffman (BJS) interface condition. In particular, a decoupled algorithm with the lowest-order mixed…

Numerical Analysis · Mathematics 2025-04-18 Luling Cao , Weiwei Sun

In recent years, algorithms aiming at learning models from available data have become quite popular due to two factors: 1) the significant developments in Artificial Intelligence techniques and 2) the availability of large amounts of data.…

Dynamical Systems · Mathematics 2026-01-13 Stefano Riva , Andrea Missaglia , Carolina Introini , In Cheol Bang , Antonio Cammi

Multivariate time series forecasting plays a crucial role in various real-world applications. Significant efforts have been made to integrate advanced network architectures and training strategies that enhance the capture of temporal…

Machine Learning · Computer Science 2024-10-31 Zhiding Liu , Jiqian Yang , Qingyang Mao , Yuze Zhao , Mingyue Cheng , Zhi Li , Qi Liu , Enhong Chen

We present efficient deep learning techniques for approximating flow and transport equations for both single phase and two-phase flow problems. The proposed methods take advantages of the sparsity structures in the underlying discrete…

Numerical Analysis · Mathematics 2020-01-08 Yating Wang , Guang Lin

We formulate a low-storage method for performing dynamic mode decomposition that can be updated inexpensively as new data become available; this formulation allows dynamical information to be extracted from large datasets and data streams.…

Fluid Dynamics · Physics 2015-06-22 Maziar S. Hemati , Matthew O. Williams , Clarence W. Rowley

Dense ground displacement measurements are crucial for geological studies but are impractical to collect directly. Traditionally, displacement fields are estimated using patch matching on optical satellite images from different acquisition…

Computer Vision and Pattern Recognition · Computer Science 2025-04-21 Juliette Bertrand , Sophie Giffard-Roisin , James Hollingsworth , Julien Mairal

In this paper, we leverage Koopman mode decomposition to analyze the nonlinear and high-dimensional climate systems acting on the observed data space. The dynamics of atmospheric systems are assumed to be equation-free, with the linear…

Systems and Control · Electrical Eng. & Systems 2025-07-10 Zhicheng Zhang , Yoshihiko Susuki , Atsushi Okazaki

Time periodic patterns in a semiconductor superlattice, relevant to microwave generation, are obtained upon numerical integration of a known set of drift-diffusion equations. The associated spatio-temporal transport mechanisms are uncovered…

Materials Science · Physics 2021-10-01 F. Terragni , L. L. Bonilla , J. M. Vega

Flooding is a major natural hazard causing significant fatalities and economic losses annually, with increasing frequency due to climate change. Rapid and accurate flood detection and monitoring are crucial for mitigating these impacts.…

Computer Vision and Pattern Recognition · Computer Science 2025-01-15 Sanjida Afrin Mou , Tasfia Noor Chowdhury , Adib Ibn Mannan , Sadia Nourin Mim , Lubana Tarannum , Tasrin Noman , Jamal Uddin Ahamed

Robust hydrological simulation is key for sustainable development, water management strategies, and climate change adaptation. In recent years, deep learning methods have been demonstrated to outperform mechanistic models at the task of…

Machine Learning · Computer Science 2026-01-13 James Tlhomole , Edoardo Borgomeo , Karthikeyan Matheswaran , Mariangel Garcia Andarcia

The increasing frequency of extreme weather events due to global climate change urges accurate weather prediction. Recently, great advances have been made by the \textbf{end-to-end methods}, thanks to deep learning techniques, but they face…

Machine Learning · Computer Science 2025-07-24 Shaohan Li , Hao Yang , Min Chen , Xiaolin Qin

This study aims to improve the spatial representation of uncertainties when regressing surface wind speeds from large-scale atmospheric predictors for sub-seasonal forecasting. Sub-seasonal forecasting often relies on large-scale…

Machine Learning · Computer Science 2025-10-21 Ganglin Tian , Anastase Alexandre Charantonis , Camille Le Coz , Alexis Tantet , Riwal Plougonven

Simulating abundances of stable water isotopologues, i.e. molecules differing in their isotopic composition, within climate models allows for comparisons with proxy data and, thus, for testing hypotheses about past climate and validating…

Atmospheric and Oceanic Physics · Physics 2023-11-28 Jonathan Wider , Jakob Kruse , Nils Weitzel , Janica C. Bühler , Ullrich Köthe , Kira Rehfeld