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Graph neural networks (GNNs) are the primary tool for processing graph-structured data. Unfortunately, the most commonly used GNNs, called Message Passing Neural Networks (MPNNs) suffer from several fundamental limitations. To overcome…

Machine Learning · Computer Science 2022-11-11 Sohir Maskey , Ali Parviz , Maximilian Thiessen , Hannes Stärk , Ylli Sadikaj , Haggai Maron

Graph convolutional networks (GCNs) have been attracting widespread attentions due to their encouraging performance and powerful generalizations. However, few work provide a general view to interpret various GCNs and guide GCNs' designs. In…

Machine Learning · Computer Science 2023-07-04 Shiping Wang , Zhihao Wu , Yuhong Chen , Yong Chen

Graph Neural Networks (GNNs) are an emerging research field. This specialized Deep Neural Network (DNN) architecture is capable of processing graph structured data and bridges the gap between graph processing and Deep Learning (DL). As…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-24 Jana Vatter , Ruben Mayer , Hans-Arno Jacobsen

In the era of big data applications, Federated Graph Learning (FGL) has emerged as a prominent solution that reconcile the tradeoff between optimizing the collective intelligence between decentralized datasets holders and preserving…

Machine Learning · Computer Science 2025-07-23 Zhengyu Wu , Xunkai Li , Yinlin Zhu , Zekai Chen , Guochen Yan , Yanyu Yan , Hao Zhang , Yuming Ai , Xinmo Jin , Rong-Hua Li , Guoren Wang

The rise of graph-structured data such as social networks, regulatory networks, citation graphs, and functional brain networks, in combination with resounding success of deep learning in various applications, has brought the interest in…

Machine Learning · Computer Science 2018-11-01 Ron Levie , Federico Monti , Xavier Bresson , Michael M. Bronstein

Federated Graph Learning (FGL) is an emerging technology that enables clients to collaboratively train powerful Graph Neural Networks (GNNs) in a distributed manner without exposing their private data. Nevertheless, FGL still faces the…

Machine Learning · Computer Science 2024-08-22 Longwen Wang , Jianchun Liu , Zhi Liu , Jinyang Huang

Spectral graph convolution, an important tool of data filtering on graphs, relies on two essential decisions: selecting spectral bases for signal transformation and parameterizing the kernel for frequency analysis. While recent techniques…

Machine Learning · Computer Science 2025-05-15 Nian Liu , Xiaoxin He , Thomas Laurent , Francesco Di Giovanni , Michael M. Bronstein , Xavier Bresson

Graphs are a powerful data structure to represent relational data and are widely used to describe complex real-world data structures. Probabilistic Graphical Models (PGMs) have been well-developed in the past years to mathematically model…

Artificial Intelligence · Computer Science 2023-01-31 Chenqing Hua , Sitao Luan , Qian Zhang , Jie Fu

Graph convolutional networks (GCNs) and its variants are designed for unsigned graphs containing only positive links. Many existing GCNs have been derived from the spectral domain analysis of signals lying over (unsigned) graphs and in each…

Machine Learning · Computer Science 2022-08-16 Rahul Singh , Yongxin Chen

Learning from graph-structured data is an important task in machine learning and artificial intelligence, for which Graph Neural Networks (GNNs) have shown great promise. Motivated by recent advances in geometric representation learning, we…

Machine Learning · Computer Science 2019-10-30 Qi Liu , Maximilian Nickel , Douwe Kiela

Recently, graph convolutional networks (GCNs) have shown great potential for the task of graph matching. It can integrate graph node feature embedding, node-wise affinity learning and matching optimization together in a unified end-to-end…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Bo Jiang , Pengfei Sun , Jin Tang , Bin Luo

Federated graph learning (FGL) has recently emerged as a promising privacy-preserving paradigm that enables distributed graph learning across multiple data owners. A critical privacy concern in federated learning is whether an adversary can…

Machine Learning · Computer Science 2026-01-28 Shuyue Wei , Wantong Chen , Tongyu Wei , Chen Gong , Yongxin Tong , Lizhen Cui

In this paper, we explore the topic of graph learning from the perspective of the Irregularity-Aware Graph Fourier Transform, with the goal of learning the graph signal space inner product to better model data. We propose a novel method to…

Signal Processing · Electrical Eng. & Systems 2023-03-16 Benjamin Girault , Eduardo Pavez , Antonio Ortega

This paper introduces a novel graph signal processing framework for building graph-based models from classes of filtered signals. In our framework, graph-based modeling is formulated as a graph system identification problem, where the goal…

Machine Learning · Computer Science 2018-03-08 Hilmi E. Egilmez , Eduardo Pavez , Antonio Ortega

This paper introduces a novel Laplacian matrix aiming to enable the construction of spectral convolutional networks and to extend the signal processing applications for directed graphs. Our proposal is inspired by a Haar-like transformation…

Machine Learning · Computer Science 2025-10-02 Theodor-Adrian Badea , Bogdan Dumitrescu

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…

Machine Learning · Computer Science 2020-06-22 Luca Franceschi , Mathias Niepert , Massimiliano Pontil , Xiao He

Despite recent advances in representation learning in hypercomplex (HC) space, this subject is still vastly unexplored in the context of graphs. Motivated by the complex and quaternion algebras, which have been found in several contexts to…

Machine Learning · Computer Science 2022-02-22 Tuan Le , Marco Bertolini , Frank Noé , Djork-Arné Clevert

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…

Machine Learning · Computer Science 2024-03-25 Sukhdeep Singh , Anuj Sharma , Vinod Kumar Chauhan

We introduce a family of multilayer graph kernels and establish new links between graph convolutional neural networks and kernel methods. Our approach generalizes convolutional kernel networks to graph-structured data, by representing…

Machine Learning · Statistics 2020-06-30 Dexiong Chen , Laurent Jacob , Julien Mairal

Graph neural networks (GNNs) have demonstrated great success in representation learning for graph-structured data. The layer-wise graph convolution in GNNs is shown to be powerful at capturing graph topology. During this process, GNNs are…

Machine Learning · Computer Science 2021-12-10 Mingxuan Ju , Shifu Hou , Yujie Fan , Jianan Zhao , Liang Zhao , Yanfang Ye
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