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Numerical simulators are essential tools in the study of natural fluid-systems, but their performance often limits application in practice. Recent machine-learning approaches have demonstrated their ability to accelerate spatio-temporal…

Fluid Dynamics · Physics 2022-05-06 Mario Lino , Stathi Fotiadis , Anil A. Bharath , Chris Cantwell

We introduce a novel masked pre-training technique for graph neural networks (GNNs) applied to computational fluid dynamics (CFD) problems. By randomly masking up to 40\% of input mesh nodes during pre-training, we force the model to learn…

Machine Learning · Computer Science 2025-08-27 Paul Garnier , Vincent Lannelongue , Jonathan Viquerat , Elie Hachem

Accurately simulating physics is crucial across scientific domains, with applications spanning from robotics to materials science. While traditional mesh-based simulations are precise, they are often computationally expensive and require…

Machine Learning · Computer Science 2025-10-23 Philipp Dahlinger , Tai Hoang , Denis Blessing , Niklas Freymuth , Gerhard Neumann

Machine Learning surrogates for Computational Fluid Dynamics (CFD), particularly Graph Neural Networks (GNNs) and Transformers, have become a new important approach for accelerating physics simulations. However, we identify a critical…

Machine Learning · Computer Science 2026-05-05 Paul Garnier , Vincent Lannelongue , Elie Hachem

Simulating particle dynamics with high fidelity is crucial for solving real-world interaction and control tasks involving liquids in design, graphics, and robotics. Recently, data-driven approaches, particularly those based on graph neural…

Machine Learning · Computer Science 2025-12-01 Niteesh Midlagajni , Constantin A. Rothkopf

We describe a framework that can integrate prior physical information, e.g., the presence of kinematic constraints, to support data-driven simulation in multi-body dynamics. Unlike other approaches, e.g., Fully-connected Neural Network…

Computational Engineering, Finance, and Science · Computer Science 2024-07-12 Jingquan Wang , Shu Wang , Huzaifa Mustafa Unjhawala , Jinlong Wu , Dan Negrut

Molecular dynamics (MD) simulations are a central tool in science and engineering enabling the study of dynamical behavior and the link between microscopic structure and macroscopic function. Their high computational cost, however, has…

Chemical Physics · Physics 2026-01-22 Salman N. Salman , Sergey A. Shteingolts , Ron Levie , Dan Mendels

Learning to simulate complex physical systems from data has emerged as a promising way to overcome the limitations of traditional numerical solvers, which often require prohibitive computational costs for high-fidelity solutions. Recent…

Machine Learning · Computer Science 2026-02-12 Tai Hoang , Alessandro Trenta , Alessio Gravina , Niklas Freymuth , Philipp Becker , Davide Bacciu , Gerhard Neumann

Accurate and efficient simulations of physical phenomena governed by partial differential equations (PDEs) are important for scientific and engineering progress. While traditional numerical solvers are powerful, they are often…

Machine Learning · Computer Science 2025-11-13 Can Yang , Zhenzhong Wang , Junyuan Liu , Yunpeng Gong , Min Jiang

Accurate simulation of granular flow dynamics is crucial for assessing various geotechnical risks, including landslides and debris flows. Granular flows involve a dynamic rearrangement of particles exhibiting complex transitions from…

Geophysics · Physics 2023-12-13 Yongjin Choi , Krishna Kumar

Subsurface simulations use computational models to predict the flow of fluids (e.g., oil, water, gas) through porous media. These simulations are pivotal in industrial applications such as petroleum production, where fast and accurate…

Machine Learning · Computer Science 2022-06-16 Tailin Wu , Qinchen Wang , Yinan Zhang , Rex Ying , Kaidi Cao , Rok Sosič , Ridwan Jalali , Hassan Hamam , Marko Maucec , Jure Leskovec

Gaussian splatting has emerged as a powerful tool for high-fidelity reconstruction of dynamic scenes. However, existing methods primarily rely on implicit motion representations, such as encoding motions into neural networks or per-Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Xinyu Zhang , Haonan Chang , Yuhan Liu , Abdeslam Boularias

Simulation of the dynamics of physical systems is essential to the development of both science and engineering. Recently there is an increasing interest in learning to simulate the dynamics of physical systems using neural networks.…

Machine Learning · Computer Science 2022-01-31 Ce Yang , Weihao Gao , Di Wu , Chong Wang

Graph Neural Networks (GNNs) have emerged as powerful tools for learning representations from structured data. Despite their growing popularity and success across various applications, GNNs encounter several challenges that limit their…

Machine Learning · Computer Science 2026-02-03 Yassine Abbahaddou

We leverage physics-embedded differentiable graph network simulators (GNS) to accelerate particulate and fluid simulations to solve forward and inverse problems. GNS represents the domain as a graph with particles as nodes and learned…

Geophysics · Physics 2023-09-26 Krishna Kumar , Yongjin Choi

Graph Neural Networks (GNNs) have gained significant traction for simulating complex physical systems, with models like MeshGraphNet demonstrating strong performance on unstructured simulation meshes. However, these models face several…

Machine Learning · Computer Science 2024-12-23 Mohammad Amin Nabian , Chang Liu , Rishikesh Ranade , Sanjay Choudhry

Graph Neural Networks (GNNs) have become a prevailing tool for learning physical dynamics. However, they still encounter several challenges: 1) Physical laws abide by symmetry, which is a vital inductive bias accounting for model…

Machine Learning · Computer Science 2022-10-14 Jiaqi Han , Wenbing Huang , Hengbo Ma , Jiachen Li , Joshua B. Tenenbaum , Chuang Gan

Graph Neural Networks (GNNs) have become powerful tools for learning from graph-structured data, finding applications across diverse domains. However, as graph sizes and connectivity increase, standard GNN training methods face significant…

Machine Learning · Computer Science 2025-12-01 Eshed Gal , Moshe Eliasof , Carola-Bibiane Schönlieb , Ivan I. Kyrchei , Eldad Haber , Eran Treister

Graph Neural Networks (GNNs) are a framework for graph representation learning, where a model learns to generate low dimensional node embeddings that encapsulate structural and feature-related information. GNNs are usually trained in an…

Machine Learning · Computer Science 2020-12-15 Davide Buffelli , Fabio Vandin

Physical simulations that accurately model reality are crucial for many engineering disciplines such as mechanical engineering and robotic motion planning. In recent years, learned Graph Network Simulators produced accurate mesh-based…

Machine Learning · Computer Science 2023-03-08 Jonas Linkerhägner , Niklas Freymuth , Paul Maria Scheikl , Franziska Mathis-Ullrich , Gerhard Neumann