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Physics-based models of dynamical systems are often used to study engineering and environmental systems. Despite their extensive use, these models have several well-known limitations due to simplified representations of the physical…

机器学习 · 计算机科学 2020-09-15 Xiaowei Jia , Jared Willard , Anuj Karpatne , Jordan S Read , Jacob A Zwart , Michael Steinbach , Vipin Kumar

Fluid simulation is an important research topic in computer graphics (CG) and animation in video games. Traditional methods based on Navier-Stokes equations are computationally expensive. In this paper, we treat fluid motion as point cloud…

计算机视觉与模式识别 · 计算机科学 2025-01-07 Yu Chen , Shuai Zheng , Nianyi Wang , Menglong Jin , Yan Chang

Creating realistic droplet simulations and animations has long been a formidable challenge for researchers and developers due to the inherent complexity of fluid dynamics. Achieving lifelike droplet splash simulations while managing…

流体动力学 · 物理学 2024-11-26 Hossein Keshtkar , Nadine Aburumman

Graph Neural Networks (GNNs) have recently become increasingly popular due to their ability to learn complex systems of relations or interactions arising in a broad spectrum of problems ranging from biology and particle physics to social…

机器学习 · 计算机科学 2020-10-12 Emanuele Rossi , Ben Chamberlain , Fabrizio Frasca , Davide Eynard , Federico Monti , Michael Bronstein

Molecular dynamics simulations offer detailed insights into atomic motions but face timescale limitations. Enhanced sampling methods have addressed these challenges but even with machine learning, they often rely on pre-selected…

机器学习 · 计算机科学 2024-09-19 Ziyue Zou , Dedi Wang , Pratyush Tiwary

Graph Neural Networks (GNNs) often struggle in preserving high-frequency components of nodal signals when dealing with directed graphs. Such components are crucial for modeling flow dynamics, without which a traditional GNN tends to treat a…

机器学习 · 计算机科学 2025-06-09 Haoyang Jiang , Jindong Wang , Xingquan Zhu , Yi He

Graph neural network (GNN) is a promising approach to learning and predicting physical phenomena described in boundary value problems, such as partial differential equations (PDEs) with boundary conditions. However, existing models…

机器学习 · 计算机科学 2023-03-24 Masanobu Horie , Naoto Mitsume

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…

机器学习 · 计算机科学 2021-06-10 Mario Lino , Chris Cantwell , Anil A. Bharath , Stathi Fotiadis

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…

机器学习 · 计算机科学 2025-08-27 Paul Garnier , Vincent Lannelongue , Jonathan Viquerat , Elie Hachem

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…

地球物理 · 物理学 2023-09-26 Krishna Kumar , Yongjin Choi

Physical systems with complex unsteady dynamics, such as fluid flows, are often poorly represented by a single mean solution. For many practical applications, it is crucial to access the full distribution of possible states, from which…

计算物理 · 物理学 2025-04-07 Mario Lino , Tobias Pfaff , Nils Thuerey

We develop and implement two realizations of quantum graph neural networks (QGNN), applied to the task of particle interaction simulation. The first QGNN is a speculative quantum-classical hybrid learning model that relies on the ability to…

In robotics, it's crucial to understand object deformation during tactile interactions. A precise understanding of deformation can elevate robotic simulations and have broad implications across different industries. We introduce a method…

计算机视觉与模式识别 · 计算机科学 2024-02-07 Mahdi Saleh , Michael Sommersperger , Nassir Navab , Federico Tombari

Simulation of multiphase flow in porous media is crucial for the effective management of subsurface energy and environment related activities. The numerical simulators used for modeling such processes rely on spatial and temporal…

计算物理 · 物理学 2022-05-25 Bicheng Yan , Dylan Robert Harp , Rajesh J. Pawar

Graph neural networks (GNNs) have emerged as a versatile and efficient option for modeling the dynamic behavior of deformable materials. While GNNs generalize readily to arbitrary shapes, mesh topologies, and material parameters, existing…

机器学习 · 计算机科学 2026-04-30 Jiahong Wang , Logan Numerow , Stelian Coros , Christian Theobalt , Vahid Babaei , Bernhard Thomaszewski

Graphs are essential representations of many real-world data such as social networks. Recent years have witnessed the increasing efforts made to extend the neural network models to graph-structured data. These methods, which are usually…

机器学习 · 计算机科学 2018-11-07 Yao Ma , Ziyi Guo , Zhaochun Ren , Eric Zhao , Jiliang Tang , Dawei Yin

Graph neural networks (GNNs) have demonstrated significant promise in modelling relational data and have been widely applied in various fields of interest. The key mechanism behind GNNs is the so-called message passing where information is…

机器学习 · 计算机科学 2023-10-31 Andi Han , Dai Shi , Lequan Lin , Junbin Gao

Lagrangian and Hamiltonian neural networks (LNNs and HNNs, respectively) encode strong inductive biases that allow them to outperform other models of physical systems significantly. However, these models have, thus far, mostly been limited…

机器学习 · 计算机科学 2022-11-14 Ravinder Bhattoo , Sayan Ranu , N. M. Anoop Krishnan

Predictive models can be particularly helpful for robots to effectively manipulate terrains in construction sites and extraterrestrial surfaces. However, terrain state representations become extremely high-dimensional especially to capture…

机器人学 · 计算机科学 2026-02-12 Chaoqi Liu , Yunzhu Li , Kris Hauser

Data-centric methods have shown great potential in understanding and predicting spatiotemporal dynamics, enabling better design and control of the object system. However, deep learning models often lack interpretability, fail to obey…

机器学习 · 计算机科学 2025-01-07 Yuan Mi , Pu Ren , Hongteng Xu , Hongsheng Liu , Zidong Wang , Yike Guo , Ji-Rong Wen , Hao Sun , Yang Liu