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Simulating object deformations is a critical challenge across many scientific domains, including robotics, manufacturing, and structural mechanics. Learned Graph Network Simulators (GNSs) offer a promising alternative to traditional…

Graph Neural Networks (GNNs) have recently been explored as surrogate models for numerical simulations. While their applications in computational fluid dynamics have been investigated, little attention has been given to structural problems,…

Machine Learning · Computer Science 2025-10-30 Alessandro Lucchetti , Francesco Cadini , Marco Giglio , Luca Lomazzi

Mesh-based simulations are central to modeling complex physical systems in many disciplines across science and engineering. Mesh representations support powerful numerical integration methods and their resolution can be adapted to strike…

Machine Learning · Computer Science 2021-06-21 Tobias Pfaff , Meire Fortunato , Alvaro Sanchez-Gonzalez , Peter W. Battaglia

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

Here we present a machine learning framework and model implementation that can learn to simulate a wide variety of challenging physical domains, involving fluids, rigid solids, and deformable materials interacting with one another. Our…

Machine Learning · Computer Science 2020-09-15 Alvaro Sanchez-Gonzalez , Jonathan Godwin , Tobias Pfaff , Rex Ying , Jure Leskovec , Peter W. Battaglia

Modeling the structure and events of the physical world constitutes a fundamental objective of neural networks. Among the diverse approaches, Graph Network Simulators (GNS) have emerged as the leading method for modeling physical phenomena,…

Computer Vision and Pattern Recognition · Computer Science 2024-10-07 Sheng Yang , Fengge Wu , Junsuo Zhao

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

Numerical simulation is a predominant tool for studying the dynamics in complex systems, but large-scale simulations are often intractable due to computational limitations. Here, we introduce the Neural Graph Simulator (NGS) for simulating…

Machine Learning · Computer Science 2024-11-15 Hoyun Choi , Sungyeop Lee , B. Kahng , Junghyo Jo

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

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

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

Mesh-based Graph Neural Networks (GNNs) have recently shown capabilities to simulate complex multiphysics problems with accelerated performance times. However, mesh-based GNNs require a large number of message-passing (MP) steps and suffer…

Computational Engineering, Finance, and Science · Computer Science 2024-02-15 Roberto Perera , Vinamra Agrawal

Graph Neural Networks (GNNs) have become the state-of-the-art method for many applications on graph structured data. GNNs are a model for graph representation learning, which aims at learning to generate low dimensional node embeddings that…

Machine Learning · Computer Science 2022-05-23 Davide Buffelli , Fabio Vandin

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

Inverse problems in granular flows, such as landslides and debris flows, involve estimating material parameters or boundary conditions based on target runout profile. Traditional high-fidelity simulators for these inverse problems are…

Geophysics · Physics 2024-04-29 Yongjin Choi , Krishna Kumar

We develop a PyTorch-based Graph Network Simulator (GNS) that learns physics and predicts the flow behavior of particulate and fluid systems. GNS discretizes the domain with nodes representing a collection of material points and the links…

Machine Learning · Computer Science 2022-11-21 Krishna Kumar , Joseph Vantassel

Graph neural network simulators (GNS) have emerged as a computationally efficient tool for simulating granular flows. Previous efforts have been limited to simplified homogeneous geometries characterized only by the friction angle, which…

Geophysics · Physics 2026-05-11 Yongjin Choi , Jorge Macedo , Chenying Liu

The simulation of complex physical systems using a discretized mesh is a cornerstone of applied mechanics, but traditional numerical solvers are often computationally prohibitive for many-query tasks. While Graph Neural Networks (GNNs) have…

Machine Learning · Computer Science 2025-09-24 Kangzheng Liu , Leixin Ma

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

This study addresses the challenge of real-time metaverse applications by proposing an in-network placement and task-offloading solution for delay-constrained computing tasks in next-generation networks. The metaverse, envisioned as a…

Networking and Internet Architecture · Computer Science 2025-01-22 Sulaiman Muhammad Rashid , Ibrahim Aliyu , Il-Kwon Jeong , Tai-Won Um , Jinsul Kim
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