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Shallow water equations (SWEs) are the backbone of most hydrodynamics models for flood prediction, river engineering, and many other water resources applications. The estimation of flow resistance, i.e., the Manning's roughness coefficient…

Fluid Dynamics · Physics 2026-05-12 Xiaofeng Liu , Yalan Song

Reliable long-horizon prediction remains a challenge for data-driven CFD surrogates, because offline-trained models accumulate autoregressive errors and lose accuracy when operating conditions change. This work develops a divergence-aware…

Fluid Dynamics · Physics 2026-05-26 Xiangrui Zou , Zhuoqun Zhao , Guillermo Barragán , Soledad Le Clainche

Water distribution systems (WDS) are an integral part of critical infrastructure which is pivotal to urban development. As 70% of the world's population will likely live in urban environments in 2050, efficient simulation and planning tools…

Machine Learning · Computer Science 2024-03-28 Inaam Ashraf , Janine Strotherm , Luca Hermes , Barbara Hammer

Process-based hydrologic models are invaluable tools for understanding the terrestrial water cycle and addressing modern water resources problems. However, many hydrologic models are computationally expensive and, depending on the…

Geophysics · Physics 2025-02-11 Timothy Dai , Kate Maher , Zach Perzan

There has been significant recent progress to reduce the computational effort of static IR drop analysis using neural networks, and modeling as an image-to-image translation task. A crucial issue is the lack of sufficient data from real…

Hardware Architecture · Computer Science 2024-08-07 Lizi Zhang , Azadeh Davoodi

Weather forecasting is essential for facilitating diverse socio-economic activity and environmental conservation initiatives. Deep learning techniques are increasingly being explored as complementary approaches to Numerical Weather…

Machine Learning · Computer Science 2025-04-28 Marco Turzi , Siamak Mehrkanoon

Accurate and physically consistent modeling of Earth system dynamics requires machine-learning architectures that operate directly on continuous geophysical fields and preserve their underlying geometric structure. Here we introduce…

Machine Learning · Computer Science 2025-12-24 Maximilian Witte , Johannes Meuer , Étienne Plésiat , Christopher Kadow

Phase-field simulations of liquid metal dealloying (LMD) can capture complex microstructural evolutions but can be prohibitively expensive for large domains and long time horizons. In this paper, we introduce a fully convolutional,…

Computational Engineering, Finance, and Science · Computer Science 2026-02-10 Christophe Bonneville , Nathan Bieberdorf , Pieterjan Robbe , Mark Asta , Habib Najm , Laurent Capolungo , Cosmin Safta

Graph neural networks (GNNs) are widely used as surrogates for costly experiments and first-principles simulations to study the behavior of compounds at atomistic scale, and their architectural complexity is constantly increasing to enable…

Machine Learning · Computer Science 2026-05-04 Arindam Chowdhury , Massimiliano Lupo Pasini

Accurate forecasting of energy demand and supply is critical for optimizing sustainable energy systems, yet it is challenged by the variability of renewable sources and dynamic consumption patterns. This paper introduces a neural framework…

Machine Learning · Computer Science 2025-07-15 Usman Gani Joy

We propose a novel attention gate (AG) model for medical imaging that automatically learns to focus on target structures of varying shapes and sizes. Models trained with AGs implicitly learn to suppress irrelevant regions in an input image…

In this paper, we present a deep surrogate model for learning the Green's function associated with the reaction-diffusion operator in rectangular domain. The U-Net architecture is utilized to effectively capture the mapping from source to…

Numerical Analysis · Mathematics 2023-10-06 Junqing Ji , Lili Ju , Xiaoping Zhang

Anomaly detection is critical for the secure and reliable operation of industrial control systems. As our reliance on such complex cyber-physical systems grows, it becomes paramount to have automated methods for detecting anomalies,…

Machine Learning · Computer Science 2024-05-10 Mayra Macas , Chunming Wu , Walter Fuertes

Neural networks are one tool for approximating non-linear differential equations used in scientific computing tasks such as surrogate modeling, real-time predictions, and optimal control. PDE foundation models utilize neural networks to…

Machine Learning · Computer Science 2025-02-11 Elisa Negrini , Yuxuan Liu , Liu Yang , Stanley J. Osher , Hayden Schaeffer

For many novel applications, such as patient-specific computer-aided surgery, conventional solution techniques of the underlying nonlinear problems are usually computationally too expensive and are lacking information about how certain can…

Machine Learning · Computer Science 2022-07-18 Saurabh Deshpande , Jakub Lengiewicz , Stéphane P. A. Bordas

We present an observation-guided neural surrogate-learning framework for scientific simulation emulation, demonstrated on urban flood-inundation mapping. The framework combines LISFLOOD-FP hydrodynamic simulations with a real Gauge L stage…

Atmospheric and Oceanic Physics · Physics 2026-04-29 Marzieh Alireza Mirhoseini

Unlike classical artificial neural networks, which require retraining for each new set of parametric inputs, the Deep Operator Network (DeepONet), a lately introduced deep learning framework, approximates linear and nonlinear solution…

Computational Engineering, Finance, and Science · Computer Science 2024-03-25 Shashank Kushwaha , Jaewan Park , Seid Koric , Junyan He , Iwona Jasiuk , Diab Abueidda

The solution of partial differential equations (PDEs) plays a central role in numerous applications in science and engineering, particularly those involving multiphase flow in porous media. Complex, nonlinear systems govern these problems…

Transformer-based language models utilize the attention mechanism for substantial performance improvements in almost all natural language processing (NLP) tasks. Similar attention structures are also extensively studied in several other…

Computation and Language · Computer Science 2023-05-17 Nurullah Sevim , Ege Ozan Özyedek , Furkan Şahinuç , Aykut Koç

AI-driven flood digital twins demand fast hydrodynamic surrogates for ensemble forecasting and observation assimilation. Yet even GPU-accelerated two-dimensional shallow water equation (SWE) solvers still require $\sim 55$ minutes per…

Machine Learning · Computer Science 2026-05-14 Phillip Si , Yuan Qiu , Omar Sallam , Jeremy Feinstein , Ziang He , Eugene Yan , Peng Chen
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