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Continuum mechanics simulators, numerically solving one or more partial differential equations, are essential tools in many areas of science and engineering, but their performance often limits application in practice. Recent modern machine…

Machine Learning · Computer Science 2021-06-10 Mario Lino , Chris Cantwell , Anil A. Bharath , Stathi Fotiadis

Physics Informed Neural Networks is a numerical method which uses neural networks to approximate solutions of partial differential equations. It has received a lot of attention and is currently used in numerous physical and engineering…

Numerical Analysis · Mathematics 2025-07-10 Dimitrios Gazoulis , Ioannis Gkanis , Charalambos G. Makridakis

Graph neural networks are increasingly becoming the go-to approach in various fields such as computer vision, computational biology and chemistry, where data are naturally explained by graphs. However, unlike traditional convolutional…

Machine Learning · Computer Science 2021-10-28 Moshe Eliasof , Eldad Haber , Eran Treister

Real-time particle transverse momentum ($p_T$) estimation in high-energy physics demands algorithms that are both efficient and accurate under strict hardware constraints. Static machine learning models degrade under high pileup and lack…

Machine Learning · Computer Science 2026-04-21 Md Abrar Jahin , Shahriar Soudeep , M. F. Mridha , Muhammad Mostafa Monowar , Md. Abdul Hamid

While physics conveys knowledge of nature built from an interplay between observations and theory, it has been considered less importantly in deep neural networks. Especially, there are few works leveraging physics behaviors when the…

Machine Learning · Computer Science 2019-02-12 Sungyong Seo , Yan Liu

Physics-based deep learning frameworks have shown to be effective in accurately modeling the dynamics of complex physical systems with generalization capability across problem inputs. Data-driven networks like GNN, Neural Operators have…

Machine Learning · Computer Science 2024-12-23 Rini Jasmine Gladstone , Hadi Meidani

This work proposes a Physics-informed Neural Network framework with Graph Embedding (GPINN) to perform PINN in graph, i.e. topological space instead of traditional Euclidean space, for improved problem-solving efficiency. The method…

Machine Learning · Computer Science 2023-06-19 Yuyang Miao , Haolin Li

One of the main challenges in solving time-dependent partial differential equations is to develop computationally efficient solvers that are accurate and stable. Here, we introduce a graph neural network approach to finding efficient PDE…

Machine Learning · Computer Science 2022-04-19 Pourya Pilva , Ahmad Zareei

Bridging physics and deep learning is a topical challenge. While deep learning frameworks open avenues in physical science, the design of physically-consistent deep neural network architectures is an open issue. In the spirit of…

Computational Physics · Physics 2020-09-15 Olivier Pannekoucke , Ronan Fablet

We consider solving complex spatiotemporal dynamical systems governed by partial differential equations (PDEs) using frequency domain-based discrete learning approaches, such as Fourier neural operators. Despite their widespread use for…

Machine Learning · Computer Science 2024-07-17 Qingsong Xu , Nils Thuerey , Yilei Shi , Jonathan Bamber , Chaojun Ouyang , Xiao Xiang Zhu

A comprehensive understanding of heat transport is essential for optimizing various mechanical and engineering applications, including 3D printing. Recent advances in machine learning, combined with physics-based models, have enabled a…

Machine Learning · Computer Science 2026-03-17 Benjamin Uhrich , Tim Häntschel , Erhard Rahm

A Physics-Informed Dynamic Graph Neural Network (PIDGeuN) is presented to accurately, efficiently and robustly predict the nonlinear transient dynamics of microgrids in the presence of disturbances. The graph-based architecture of PIDGeuN…

Systems and Control · Electrical Eng. & Systems 2022-04-20 Yin Yu , Xinyuan Jiang , Daning Huang , Yan Li

Solving large complex partial differential equations (PDEs), such as those that arise in computational fluid dynamics (CFD), is a computationally expensive process. This has motivated the use of deep learning approaches to approximate the…

Machine Learning · Computer Science 2020-08-18 Filipe de Avila Belbute-Peres , Thomas D. Economon , J. Zico Kolter

Accurate, interpretable, and real-time modeling of multi-body dynamical systems is essential for predicting behaviors and inferring physical properties in natural and engineered environments. Traditional physics-based models face…

Machine Learning · Computer Science 2025-09-24 Vinay Sharma , Olga Fink

Classical numerical methods solve partial differential equations (PDEs) efficiently on regular meshes, but many of them become unstable on irregular domains. In practice, multiphysics interactions such as diffusion, damage, and healing…

Machine Learning · Computer Science 2025-12-16 Yuelian Li , Andrew Rushing Hands

Machine learning (ML) and deep learning (DL) techniques have gained significant attention as reduced order models (ROMs) to computationally expensive structural analysis methods, such as finite element analysis (FEA). Graph neural network…

Machine Learning · Computer Science 2023-09-25 Yuecheng Cai , Jasmin Jelovica

Accurately decoding human motion intentions from surface electromyography (sEMG) is essential for myoelectric control and has wide applications in rehabilitation robotics and assistive technologies. However, existing sEMG-based motion…

Signal Processing · Electrical Eng. & Systems 2025-07-01 Wending Heng , Chaoyuan Liang , Yihui Zhao , Zhiqiang Zhang , Glen Cooper , Zhenhong Li

Engineering components must meet increasing technological demands in ever shorter development cycles. To face these challenges, a holistic approach is essential that allows for the concurrent development of part design, material system and…

Machine Learning · Computer Science 2024-07-31 Tobias Würth , Niklas Freymuth , Clemens Zimmerling , Gerhard Neumann , Luise Kärger

Accurate and efficient physical simulations are essential in science and engineering, yet traditional numerical solvers face significant challenges in computational cost when handling simulations across dynamic scenarios involving complex…

Computational Engineering, Finance, and Science · Computer Science 2025-12-12 Pengwei Liu , Xingyu Ren , Pengkai Wang , Hangjie Yuan , Zhongkai Hao , Guanyu Chen , Chao Xu , Dong Ni , Shengze Cai

In the trend of hybrid Artificial Intelligence techniques, Physical-Informed Machine Learning has seen a growing interest. It operates mainly by imposing data, learning, or architecture bias with simulation data, Partial Differential…

Machine Learning · Computer Science 2024-08-05 Alexis-Raja Brachet , Pierre-Yves Richard , Céline Hudelot