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Graph Neural Networks (GNNs) have emerged as a notorious alternative to address learning problems dealing with non-Euclidean datasets. However, although most works assume that the graph is perfectly known, the observed topology is prone to…

机器学习 · 计算机科学 2023-12-12 Victor M. Tenorio , Samuel Rey , Antonio G. Marques

Inspired by convolutional neural networks on 1D and 2D data, graph convolutional neural networks (GCNNs) have been developed for various learning tasks on graph data, and have shown superior performance on real-world datasets. Despite their…

机器学习 · 计算机科学 2019-05-15 Saurabh Verma , Zhi-Li Zhang

Semi-supervised learning on graph structured data has received significant attention with the recent introduction of Graph Convolution Networks (GCN). While traditional methods have focused on optimizing a loss augmented with Laplacian…

Temporal graph learning has applications in recommendation systems, traffic forecasting, and social network analysis. Although multiple architectures have been introduced, progress in positional encoding for temporal graphs remains limited.…

机器学习 · 计算机科学 2025-06-03 Yaniv Galron , Fabrizio Frasca , Haggai Maron , Eran Treister , Moshe Eliasof

Graph convolutional networks (GCNs) have achieved great success in dealing with data of non-Euclidean structures. Their success directly attributes to fitting graph structures effectively to data such as in social media and knowledge…

计算机视觉与模式识别 · 计算机科学 2021-05-24 Boyan Xu , Hujun Yin

The difficult problem of relating the static structure of glassy liquids and their dynamics is a good target for Machine Learning, an approach which excels at finding complex patterns hidden in data. Indeed, this approach is currently a hot…

软凝聚态物质 · 物理学 2024-05-29 Francesco Saverio Pezzicoli , Guillaume Charpiat , François P. Landes

Graph Neural Networks (GNN) have emerged as a popular and standard approach for learning from graph-structured data. The literature on GNN highlights the potential of this evolving research area and its widespread adoption in real-life…

机器学习 · 计算机科学 2024-03-25 Sukhdeep Singh , Anuj Sharma , Vinod Kumar Chauhan

Graph representation learning is fundamental for analyzing graph-structured data. Exploring invariant graph representations remains a challenge for most existing graph representation learning methods. In this paper, we propose a cross-view…

机器学习 · 计算机科学 2025-04-15 Jie Chen , Hua Mao , Wai Lok Woo , Chuanbin Liu , Xi Peng

Graph Neural Networks (GNNs) show strong expressive power on graph data mining, by aggregating information from neighbors and using the integrated representation in the downstream tasks. The same aggregation methods and parameters for each…

机器学习 · 计算机科学 2022-03-22 Xiaojun Ma , Qin Chen , Yuanyi Ren , Guojie Song , Liang Wang

The Laplacian representation recently gains increasing attention for reinforcement learning as it provides succinct and informative representation for states, by taking the eigenvectors of the Laplacian matrix of the state-transition graph…

机器学习 · 计算机科学 2021-07-13 Kaixin Wang , Kuangqi Zhou , Qixin Zhang , Jie Shao , Bryan Hooi , Jiashi Feng

Graph neural networks (GNNs) are commonly described as being permutation equivariant with respect to node relabeling in the graph. This symmetry of GNNs is often compared to the translation equivariance of Euclidean convolution neural…

机器学习 · 统计学 2023-11-20 Ningyuan Huang , Ron Levie , Soledad Villar

Graph Transformers (GTs) have demonstrated great effectiveness across various graph analytical tasks. However, the existing GTs focus on training and testing graph data originated from the same distribution, but fail to generalize under…

机器学习 · 计算机科学 2026-03-16 Tianyin Liao , Ziwei Zhang , Yufei Sun , Chunyu Hu , Jianxin Li

Graph representation learning based on graph neural networks (GNNs) can greatly improve the performance of downstream tasks, such as node and graph classification. However, the general GNN models do not aggregate node information in a…

机器学习 · 计算机科学 2020-07-30 Fei Ding , Xiaohong Zhang , Justin Sybrandt , Ilya Safro

Several graph data mining, signal processing, and machine learning downstream tasks rely on information related to the eigenvectors of the associated adjacency or Laplacian matrix. Classical eigendecomposition methods are powerful when the…

Graph neural networks (GNNs) are a popular class of machine learning models whose major advantage is their ability to incorporate a sparse and discrete dependency structure between data points. Unfortunately, GNNs can only be used when such…

机器学习 · 计算机科学 2020-06-22 Luca Franceschi , Mathias Niepert , Massimiliano Pontil , Xiao He

Graph Neural Network (GNN) is a powerful tool to perform standard machine learning on graphs. To have a Euclidean representation of every node in the Non-Euclidean graph-like data, GNN follows neighbourhood aggregation and combination of…

机器学习 · 计算机科学 2021-11-18 Sucheta Dawn , Sanghamitra Bandyopadhyay

Graph neural networks are powerful architectures for structured datasets. However, current methods struggle to represent long-range dependencies. Scaling the depth or width of GNNs is insufficient to broaden receptive fields as larger GNNs…

机器学习 · 计算机科学 2022-01-24 Zhanghao Wu , Paras Jain , Matthew A. Wright , Azalia Mirhoseini , Joseph E. Gonzalez , Ion Stoica

Graphs are ubiquitous in social networks and biochemistry, where Graph Neural Networks (GNN) are the state-of-the-art models for prediction. Graphs can be evolving and it is vital to formally model and understand how a trained GNN responds…

机器学习 · 计算机科学 2024-03-12 Yazheng Liu , Xi Zhang , Sihong Xie

Graph signal processing (GSP) is a prominent framework for analyzing signals on non-Euclidean domains. The graph Fourier transform (GFT) uses the combinatorial graph Laplacian matrix to reveal the spectral decomposition of signals in the…

机器学习 · 计算机科学 2024-06-13 Changhao Shi , Gal Mishne

As a powerful tool for modeling complex relationships, hypergraphs are gaining popularity from the graph learning community. However, commonly used frameworks in deep hypergraph learning focus on hypergraphs with edge-independent vertex…

机器学习 · 计算机科学 2022-07-26 Jiying Zhang , Fuyang Li , Xi Xiao , Tingyang Xu , Yu Rong , Junzhou Huang , Yatao Bian