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Time series forecasting is an extensively studied subject in statistics, economics, and computer science. Exploration of the correlation and causation among the variables in a multivariate time series shows promise in enhancing the…

机器学习 · 计算机科学 2021-04-22 Chao Shang , Jie Chen , Jinbo Bi

Graph neural networks (GNNs) are designed to process data associated with graphs. They are finding an increasing range of applications; however, as with other modern machine learning techniques, their theoretical understanding is limited.…

无序系统与神经网络 · 物理学 2026-02-23 O. Duranthon , L. Zdeborová

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…

机器学习 · 计算机科学 2022-10-14 Jiaqi Han , Wenbing Huang , Hengbo Ma , Jiachen Li , Joshua B. Tenenbaum , Chuang Gan

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…

系统与控制 · 电气工程与系统科学 2022-04-20 Yin Yu , Xinyuan Jiang , Daning Huang , Yan Li

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. However, time-independent problems pose the challenge of…

机器学习 · 计算机科学 2023-03-29 Rini Jasmine Gladstone , Helia Rahmani , Vishvas Suryakumar , Hadi Meidani , Marta D'Elia , Ahmad Zareei

Learning representations for graphs plays a critical role in a wide spectrum of downstream applications. In this paper, we summarize the limitations of the prior works in three folds: representation space, modeling dynamics and modeling…

机器学习 · 计算机科学 2021-04-07 Li Sun , Zhongbao Zhang , Jiawei Zhang , Feiyang Wang , Hao Peng , Sen Su , Philip S. Yu

Solving partial differential equations (PDEs) serves as a cornerstone for modeling complex dynamical systems. Recent progresses have demonstrated grand benefits of data-driven neural-based models for predicting spatiotemporal dynamics…

机器学习 · 计算机科学 2025-03-04 Bocheng Zeng , Qi Wang , Mengtao Yan , Yang Liu , Ruizhi Chengze , Yi Zhang , Hongsheng Liu , Zidong Wang , Hao Sun

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

Graph Neural Networks (GNNs) have shown remarkable success in learning from graph-structured data. However, their application to directed graphs (digraphs) presents unique challenges, primarily due to the inherent asymmetry in node…

机器学习 · 计算机科学 2025-05-16 Wei Zhuo , Han Yu , Guang Tan , Xiaoxiao Li

Graph Neural Networks (GNNs) are key tools for graph representation learning, demonstrating strong results across diverse prediction tasks. In this paper, we present Convexified Message-Passing Graph Neural Networks (CGNNs), a novel and…

机器学习 · 计算机科学 2026-01-27 Saar Cohen , Noa Agmon , Uri Shaham

Utilizing machine learning to address partial differential equations (PDEs) presents significant challenges due to the diversity of spatial domains and their corresponding state configurations, which complicates the task of encompassing all…

机器学习 · 计算机科学 2024-05-28 Masanobu Horie , Naoto Mitsume

Dynamic graphs (DG) are often used to describe evolving interactions between nodes in real-world applications. Temporal patterns are a natural feature of DGs and are also key to representation learning. However, existing dynamic GCN models…

机器学习 · 计算机科学 2024-08-07 Ling Wang , Yixiang Huang , Hao Wu

Travel time estimation is one of the core tasks for the development of intelligent transportation systems. Most previous works model the road segments or intersections separately by learning their spatio-temporal characteristics to estimate…

人工智能 · 计算机科学 2023-11-16 Guangyin Jin , Huan Yan , Fuxian Li , Jincai Huang , Yong Li

Graph neural networks have become an important tool for modeling structured data. In many real-world systems, intricate hidden information may exist, e.g., heterogeneity in nodes/edges, static node/edge attributes, and spatiotemporal…

机器学习 · 计算机科学 2020-10-12 Yucheng Lin , Huiting Hong , Xiaoqing Yang , Xiaodi Yang , Pinghua Gong , Jieping Ye

A dynamic graph (DG) is frequently encountered in numerous real-world scenarios. Consequently, A dynamic graph convolutional network (DGCN) has been successfully applied to perform precise representation learning on a DG. However,…

机器学习 · 计算机科学 2025-04-23 Minglian Han

Computational Intelligence (CI) techniques have shown great potential as a surrogate model of expensive physics simulation, with demonstrated ability to make fast predictions, albeit at the expense of accuracy in some cases. For many…

Spatio-temporal prediction plays an important role in many application areas especially in traffic domain. However, due to complicated spatio-temporal dependency and high non-linear dynamics in road networks, traffic prediction task is…

机器学习 · 计算机科学 2019-03-05 Bing Yu , Mengzhang Li , Jiyong Zhang , Zhanxing Zhu

Multivariate time series forecasting is a challenging task because the data involves a mixture of long- and short-term patterns, with dynamic spatio-temporal dependencies among variables. Existing graph neural networks (GNN) typically model…

机器学习 · 计算机科学 2021-12-08 Zhuoling Li , Gaowei Zhang , Lingyu Xu , Jie Yu

Recent works have demonstrated the potential of Graph Neural Networks (GNN) for network intrusion detection. Despite their advantages, a significant gap persists between real-world scenarios, where detection speed is critical, and existing…

机器学习 · 计算机科学 2024-06-21 Louis Van Langendonck , Ismael Castell-Uroz , Pere Barlet-Ros

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