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Granular materials -- aggregates of many discrete, disconnected solid particles -- are ubiquitous in natural and industrial settings. Predictive models for their behavior have wide ranging applications, e.g. in defense, mining,…

软凝聚态物质 · 物理学 2023-09-01 Aaron S. Baumgarten , Justin Moreno , Brett Kuwik , Sohanjit Ghosh , Ryan Hurley , K. T. Ramesh

Large language models (LLMs) have shown remarkable generalization capability with exceptional performance in various language modeling tasks. However, they still exhibit inherent limitations in precisely capturing and returning grounded…

计算与语言 · 计算机科学 2024-01-01 Yijun Tian , Huan Song , Zichen Wang , Haozhu Wang , Ziqing Hu , Fang Wang , Nitesh V. Chawla , Panpan Xu

Meshfree simulation methods are emerging as compelling alternatives to conventional mesh-based approaches, particularly in the fields of Computational Fluid Dynamics (CFD) and continuum mechanics. In this publication, we provide a…

机器学习 · 计算机科学 2024-03-21 Paulami Banerjee , Mohan Padmanabha , Chaitanya Sanghavi , Isabel Michel , Simone Gramsch

Sparse regularized regression methods are now widely used in genome-wide association studies (GWAS) to address the multiple testing burden that limits discovery of potentially important predictors. Linear mixed models (LMMs) have become an…

统计方法学 · 统计学 2022-06-27 Julien St-Pierre , Karim Oualkacha , Sahir Rai Bhatnagar

Simulating complex dynamics like fluids with traditional simulators is computationally challenging. Deep learning models have been proposed as an efficient alternative, extending or replacing parts of traditional simulators. We investigate…

机器学习 · 计算机科学 2022-03-16 Jonathan Klimesch , Philipp Holl , Nils Thuerey

Regression models are popular tools in empirical sciences to infer the influence of a set of variables onto a dependent variable given an experimental dataset. In neuroscience and cognitive psychology, Generalized Linear Models (GLMs)…

应用统计 · 统计学 2020-02-04 Vincent Adam , Alexandre Hyafil

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

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…

机器学习 · 计算机科学 2024-12-23 Rini Jasmine Gladstone , Hadi Meidani

In recent years, Graph Neural Network (GNN) based models have shown promising results in simulating physics of complex systems. However, training dedicated graph network based physics simulators can be costly, as most models are confined to…

机器学习 · 计算机科学 2025-02-12 Siqi Shen , Yu Liu , Daniel Biggs , Omar Hafez , Jiandong Yu , Wentao Zhang , Bin Cui , Jiulong Shan

Despite their widespread use, purely data-driven methods often suffer from overfitting, lack of physical consistency, and high data dependency, particularly when physical constraints are not incorporated. This study introduces a novel data…

流体动力学 · 物理学 2025-07-28 M. Quattromini , M. A. Bucci , S. Cherubini , O. Semeraro

Classical physical modelling with associated numerical simulation (model-based), and prognostic methods based on the analysis of large amounts of data (data-driven) are the two most common methods used for the mapping of complex physical…

计算工程、金融与科学 · 计算机科学 2023-07-11 Derick Nganyu Tanyu , Isabel Michel , Andreas Rademacher , Jörg Kuhnert , Peter Maass

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…

Developing suitable approximate models for analyzing and simulating complex nonlinear systems is practically important. This paper aims at exploring the skill of a rich class of nonlinear stochastic models, known as the conditional Gaussian…

数值分析 · 数学 2022-06-01 Nan Chen , Yingda Li , Honghu Liu

In the area of physical simulations, nearly all neural-network-based methods directly predict future states from the input states. However, many traditional simulation engines instead model the constraints of the system and select the state…

机器学习 · 计算机科学 2022-01-31 Yulia Rubanova , Alvaro Sanchez-Gonzalez , Tobias Pfaff , Peter Battaglia

Graph neural networks (GNN) have been shown to provide substantial performance improvements for atomistic material representation and modeling compared with descriptor-based machine learning models. While most existing GNN models for…

材料科学 · 物理学 2022-04-08 Kamal Choudhary , Brian DeCost

Manipulation of granular materials such as sand or rice remains an unsolved problem due to challenges such as the difficulty of defining their configuration or modeling the materials and their particles interactions. Current approaches tend…

机器人学 · 计算机科学 2022-03-15 Neea Tuomainen , David Blanco-Mulero , Ville Kyrki

Graph neural networks (GNNs) have been predominantly driven by message-passing, where node representations are iteratively updated via local neighborhood aggregation. Despite their success, message-passing suffers from fundamental…

机器学习 · 计算机科学 2025-12-16 Zehong Wang , Zheyuan Zhang , Tianyi Ma , Chuxu Zhang , Yanfang Ye

Graph neural networks (GNNs) have emerged as powerful tools for learning protein structures by capturing spatial relationships at the residue level. However, existing GNN-based methods often face challenges in learning multiscale…

机器学习 · 计算机科学 2026-02-03 Shih-Hsin Wang , Yuhao Huang , Taos Transue , Justin Baker , Jonathan Forstater , Thomas Strohmer , Bao Wang

Graph Neural Networks (GNNs) have emerged as a powerful technique for learning on relational data. Owing to the relatively limited number of message passing steps they perform -- and hence a smaller receptive field -- there has been…

机器学习 · 计算机科学 2022-06-27 Ameya Velingker , Ali Kemal Sinop , Ira Ktena , Petar Veličković , Sreenivas Gollapudi

Graph Convolutional Networks have made significant strides in Collabora-tive Filtering recommendations. However, existing GCN-based CF methods are mainly based on matrix factorization and incorporate some optimization tech-niques to enhance…

信息检索 · 计算机科学 2023-05-16 Lingyuan Kong , Hao Ding , Guangwei Hu