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We introduce the Geometric Evolution Graph Convolutional Network (GEGCN), a novel framework that enhances graph representation learning through explicit modeling of geometric evolution on graph structures. Specifically, GEGCN leverages a…

机器学习 · 计算机科学 2026-05-07 Jicheng Ma , Yunyan Yang , Juan Zhao , Liang Zhao

Predicting large-scale transportation network traffic has become an important and challenging topic in recent decades. Inspired by the domain knowledge of motion prediction, in which the future motion of an object can be predicted based on…

机器学习 · 计算机科学 2017-05-09 Haiyang Yu , Zhihai Wu , Shuqin Wang , Yunpeng Wang , Xiaolei Ma

The layout optimization of the heat conduction is essential during design in engineering, especially for thermal sensible products. When the optimization algorithm iteratively evaluates different loading cases, the traditional numerical…

机器学习 · 计算机科学 2022-01-26 Hao Ma , Yang Sun , Mario Chiarelli

Numerical simulation of steady-state heat conduction is common for thermal engineering. The simulation process usually involves mathematical formulation, numerical discretization and iteration of discretized ordinary or partial differential…

应用物理 · 物理学 2020-10-09 Jiang-Zhou Peng , Xianglei Liu , Nadine Aubry , Zhihua Chen , Wei-Tao Wu

Modeling spatial heterogeneity in the data generation process is essential for understanding and predicting geographical phenomena. Despite their prevalence in geospatial tasks, neural network models usually assume spatial stationarity,…

机器学习 · 计算机科学 2025-10-01 Hao Guo , Han Wang , Di Zhu , Lun Wu , A. Stewart Fotheringham , Yu Liu

Recently, graph convolutional network (GCN) has been widely used for semi-supervised classification and deep feature representation on graph-structured data. However, existing GCN generally fails to consider the local invariance constraint…

计算机视觉与模式识别 · 计算机科学 2018-09-27 Bo Jiang , Doudou Lin

Short-term forecasting of passenger flow is critical for transit management and crowd regulation. Spatial dependencies, temporal dependencies, inter-station correlations driven by other latent factors, and exogenous factors bring challenges…

机器学习 · 计算机科学 2022-05-23 Yuxin He , Lishuai Li , Xinting Zhu , Kwok Leung Tsui

The interaction of neural networks with physical equations offers a wide range of applications. We provide a method which enables a neural network to transform objects subject to given physical constraints. Therefore an U-Net architecture…

人工智能 · 计算机科学 2021-03-22 Lukas Harsch , Johannes Burgbacher , Stefan Riedelbauch

The paper presents a Graph Attention Convolutional Network (GACN) for flow reconstruction from very sparse data in time-varying geometries. The model incorporates a feature propagation algorithm as a preprocessing step to handle extremely…

机器学习 · 计算机科学 2024-11-14 Bogdan A. Danciu , Vito A. Pagone , Benjamin Böhm , Marius Schmidt , Christos E. Frouzakis

Traffic problems have seriously affected people's life quality and urban development, and forecasting the short-term traffic congestion is of great importance to both individuals and governments. However, understanding and modeling the…

信号处理 · 电气工程与系统科学 2020-03-17 Meng Chen , Xiaohui Yu , Yang Liu

Graph convolution network based approaches have been recently used to model region-wise relationships in region-level prediction problems in urban computing. Each relationship represents a kind of spatial dependency, like region-wise…

机器学习 · 计算机科学 2019-05-29 Xu Geng , Xiyu Wu , Lingyu Zhang , Qiang Yang , Yan Liu , Jieping Ye

Simulating complex unsteady physical phenomena relies on detailed mathematical models, simulated for instance by using the Finite Element Method (FEM). However, these models often exhibit discrepancies from the reality due to unmodeled…

机器学习 · 计算机科学 2026-05-25 M. Gorpinich , B. Moya , S. Rodriguez , F. Meraghni , Y. Jaafra , A. Briot , M. Henner , R. Leon , F. Chinesta

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

The burgeoning volume of graph data presents significant computational challenges in training graph neural networks (GNNs), critically impeding their efficiency in various applications. To tackle this challenge, graph condensation (GC) has…

机器学习 · 计算机科学 2024-06-13 Xinyi Gao , Tong Chen , Wentao Zhang , Yayong Li , Xiangguo Sun , Hongzhi Yin

A new model is presented for multisite statistical downscaling of temperature and precipitation using convolutional conditional neural processes (convCNPs). ConvCNPs are a recently developed class of models that allow deep learning…

机器学习 · 计算机科学 2021-01-21 Anna Vaughan , Will Tebbutt , J. Scott Hosking , Richard E. Turner

The complex spatial-temporal correlations in transportation networks make the traffic forecasting problem challenging. Since transportation system inherently possesses graph structures, many research efforts have been put with graph neural…

机器学习 · 计算机科学 2024-03-22 Yuyol Shin , Yoonjin Yoon

An increasing amount of location-based service (LBS) data is being accumulated and helps to study urban dynamics and human mobility. GPS coordinates and other location indicators are normally low dimensional and only representing spatial…

社会与信息网络 · 计算机科学 2022-10-11 Chenyu Tian , Yuchun Zhang , Zefeng Weng , Xiusen Gu , Wai Kin Victor Chan

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

The growing use of composite materials in engineering applications has accelerated the demand for computational methods to accurately predict their complex behavior. Multiscale modeling based on computational homogenization is a potentially…

The simulation of microcirculatory blood flow in realistic vascular architectures poses significant challenges due to the multiscale nature of the problem and the topological complexity of capillary networks. In this work, we propose a…