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The interaction of neural networks with physical equations offers a wide range of applications. We provide a method which enables a neural network to transform objects subject to given physical constraints. Therefore an U-Net architecture…

Artificial Intelligence · Computer Science 2021-03-22 Lukas Harsch , Johannes Burgbacher , Stefan Riedelbauch

Accurate urban surface characterization is essential for environmental modeling, risk assessment, and climate adaptation. However, existing classifications of urban surfaces lack the global consistency and physical detail to fully represent…

Atmospheric and Oceanic Physics · Physics 2026-04-15 Yiheng Chen , Wai-Chi Cheng , Tzung-May Fu , Wei Tao , Aoxing Zhang , Jimmy C. H. Fung , Song Liu , Lei Zhu , Xin Yang

In this paper, we define and evaluate a weighting scheme for neighborhoods in point sets. Our weighting takes the shape of the geometry, i.e., the normal information, into account. This causes the obtained neighborhoods to be more reliable…

Graphics · Computer Science 2021-09-20 Martin Skrodzki , Eric Zimmermann

Modelling rock-fluid interaction requires solving a set of partial differential equations (PDEs) to predict the flow behaviour and the reactions of the fluid with the rock on the interfaces. Conventional high-fidelity numerical models…

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

Flash floods in urban areas occur with increasing frequency. Detecting these floods would greatlyhelp alleviate human and economic losses. However, current flood prediction methods are eithertoo slow or too simplified to capture the flood…

Signal Processing · Electrical Eng. & Systems 2019-08-28 Kun Qian , Abduallah Mohamed , Christian Claudel

Climate change and sea-level rise (SLR) pose escalating threats to coastal cities, intensifying the need for efficient and accurate methods to predict potential flood hazards. Traditional physics-based hydrodynamic simulators, although…

Computer Vision and Pattern Recognition · Computer Science 2025-10-31 Bilal Hassan , Areg Karapetyan , Aaron Chung Hin Chow , Samer Madanat

Urban infrastructure networks play a major role in providing reliable flows of multitude critical services demanded by citizens in modern cities. We analyzed here a database of 125 infrastructure networks, roads (RN); urban drainage…

Turbulent flows, ubiquitous in nature and engineering, comprise fluctuations over a wide range of spatial and temporal scales. While flows with fluctuations in thermodynamic variables are much more common, much less is known about these…

Fluid Dynamics · Physics 2020-09-02 Diego A. Donzis , John Panickacheril John

Vertical equilibrium models have proven to be well suited for simulating fluid flow in subsurface porous media such as saline aquifers with caprocks. However, in most cases the dimensionally reduced model lacks the accuracy to capture the…

Fluid Dynamics · Physics 2024-05-29 Ivan Buntic , Martin Schneider , Bernd Flemisch , Rainer Helmig

Accurate wind power forecasts depend on reliable wind speed forecasts. Numerical Weather Predictions (NWPs) utilize huge amounts of computing time, but still have rather low spatial and temporal resolution. However, stochastic wind speed…

Applications · Statistics 2015-09-10 Daniel Ambach , Carsten Croonenbroeck

Worsening global challenges demand solutions grounded in a systems-level understanding of coupled social and environmental dynamics. Existing environmental models encode extensive knowledge of individual systems, yet much of this…

Systems and Control · Electrical Eng. & Systems 2025-12-25 Megan S. Harris , Ehsanoddin Ghorbanichemazkati , Mohammad Mahdi Naderi , John C. Little , Amro M. Farid

Numerical Weather Prediction (NWP), is widely used in precipitation forecasting, based on complex equations of atmospheric motion requires supercomputers to infer the state of the atmosphere. Due to the complexity of the task and the huge…

Signal Processing · Electrical Eng. & Systems 2020-01-10 Xinyu Xiao , Qiuming Kuang , Shiming Xiang , Junnan Hu , Chunhong Pan

Continuous diffusion and flow matching models could represent a powerful alternative to autoregressive approaches for language modelling (LM), as they unlock a host of advantages currently reserved for continuous modalities, including…

Machine Learning · Computer Science 2026-05-12 Oscar Davis , Anastasiia Filippova , Pierre Ablin , Victor Turrisi , Amitis Shidani , Marco Cuturi , Louis Béthune

Convection of liquid metals drives large natural processes and is important in technical processes. Model experiments are conducted for research purposes where simulations are expensive and the clarification of open questions requires novel…

Fluid Dynamics · Physics 2024-04-18 David Weik , Zehua Dou , Dirk Räbiger , Tobias Vogt , Sven Eckert , Jürgen Czarske , Lars Büttner

A general-purpose computational homogenization framework is proposed for the nonlinear dynamic analysis of membranes exhibiting complex microscale and/or mesoscale heterogeneity characterized by in-plane periodicity that cannot be…

Computational Engineering, Finance, and Science · Computer Science 2021-01-28 Philip Avery , Daniel Z. Huang , Wanli He , Johanna Ehlers , Armen Derkevorkian , Charbel Farhat

Many systems in physics, engineering, and biology exhibit multiscale stochastic dynamics, where low-dimensional slow variables evolve under the influence of high-dimensional fast processes. In practice, observations are often limited to a…

Machine Learning · Statistics 2026-05-12 Anan Saha , Arnab Ganguly

The scaling argument developed by Larichev and Held (1995) for eddy amplitudes and fluxes in a horizontally homogeneous, two-layer model on an f-plane is extended to a beta-plane. In terms of the non-dimensional number x =…

ao-sci · Physics 2016-08-30 Isaac M. Held , Vitaly D. Larichev

The increasing availability of hydrological and physiographic spatiotemporal data has boosted machine learning's role in rapid flood mapping. Yet, data scarcity, especially high-resolution DEMs, challenges regions with limited access. This…

Computational Engineering, Finance, and Science · Computer Science 2025-08-15 Mohammad Fereshtehpour , Mostafa Esmaeilzadeh , Reza Saleh Alipour , Steven J. Burian

Climate events arise from intricate, multivariate dynamics governed by global-scale drivers, profoundly impacting food, energy, and infrastructure. Yet, accurate weather prediction remains elusive due to physical processes unfolding across…

Machine Learning · Computer Science 2025-10-31 Thomas Bailie , S. Karthik Mukkavilli , Varvara Vetrova , Yun Sing Koh
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