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Graph Neural Networks (GNNs) typically operate by message-passing, where the state of a node is updated based on the information received from its neighbours. Most message-passing models act as graph convolutions, where features are mixed…

Inspired by a growing interest in analyzing network data, we study the problem of node classification on graphs, focusing on approaches based on kernel machines. Conventionally, kernel machines are linear classifiers in the implicit feature…

机器学习 · 统计学 2010-01-25 Xiao Tang , Mu Zhu

This paper aims at revisiting Graph Convolutional Neural Networks by bridging the gap between spectral and spatial design of graph convolutions. We theoretically demonstrate some equivalence of the graph convolution process regardless it is…

机器学习 · 计算机科学 2020-03-27 Muhammet Balcilar , Guillaume Renton , Pierre Heroux , Benoit Gauzere , Sebastien Adam , Paul Honeine

Spectral-based graph neural networks (SGNNs) have been attracting increasing attention in graph representation learning. However, existing SGNNs are limited in implementing graph filters with rigid transforms (e.g., graph Fourier or…

机器学习 · 计算机科学 2022-01-05 Mingxing Xu , Wenrui Dai , Chenglin Li , Junni Zou , Hongkai Xiong , Pascal Frossard

The success of deep learning has revolutionized many fields of research including areas of computer vision, text and speech processing. Enormous research efforts have led to numerous methods that are capable of efficiently analyzing data,…

机器学习 · 计算机科学 2020-07-20 Christoph Heindl

We propose an extension of the Contextual Graph Markov Model, a deep and probabilistic machine learning model for graphs, to model the distribution of edge features. Our approach is architectural, as we introduce an additional Bayesian…

机器学习 · 计算机科学 2023-08-21 Daniele Atzeni , Federico Errica , Davide Bacciu , Alessio Micheli

Data defined over a network have been successfully modelled by means of graph filters. However, although in many scenarios the connectivity of the network is known, e.g., smart grids, social networks, etc., the lack of well-defined…

信号处理 · 电气工程与系统科学 2020-07-08 Alberto Natali , Mario Coutino , Geert Leus

We consider the graph link prediction task, which is a classic graph analytical problem with many real-world applications. With the advances of deep learning, current link prediction methods commonly compute features from subgraphs centered…

机器学习 · 计算机科学 2020-10-21 Lei Cai , Jundong Li , Jie Wang , Shuiwang Ji

Spectral Graph Convolutional Networks (spectral GCNNs), a powerful tool for analyzing and processing graph data, typically apply frequency filtering via Fourier transform to obtain representations with selective information. Although…

机器学习 · 计算机科学 2023-05-04 Lequan Lin , Junbin Gao

Graph Convolutional Networks (GCNs) have been widely studied. The core of GCNs is the definition of convolution operators on graphs. However, existing Graph Convolution (GC) operators are mainly defined on adjacency matrix and node features…

机器学习 · 计算机科学 2024-06-24 Bo Jiang , Sheng Ge , Ziyan Zhang , Beibei Wang , Jin Tang , Bin Luo

Deep Learning's recent successes have mostly relied on Convolutional Networks, which exploit fundamental statistical properties of images, sounds and video data: the local stationarity and multi-scale compositional structure, that allows…

机器学习 · 计算机科学 2015-06-18 Mikael Henaff , Joan Bruna , Yann LeCun

We present a novel and hierarchical approach for supervised classification of signals spanning over a fixed graph, reflecting shared properties of the dataset. To this end, we introduce a Convolutional Cluster Pooling layer exploiting a…

机器学习 · 计算机科学 2019-02-14 Angelo Porrello , Davide Abati , Simone Calderara , Rita Cucchiara

As an alternative to classical numerical solvers for partial differential equations (PDEs) subject to boundary value constraints, there has been a surge of interest in investigating neural networks that can solve such problems efficiently.…

机器学习 · 计算机科学 2023-08-21 Winfried Lötzsch , Simon Ohler , Johannes S. Otterbach

In this work, we build a generic architecture of Convolutional Neural Networks to discover empirical properties of neural networks. Our first contribution is to introduce a state-of-the-art framework that depends upon few hyper parameters…

计算机视觉与模式识别 · 计算机科学 2017-03-07 Edouard Oyallon

In the past decades, many graph drawing techniques have been proposed for generating aesthetically pleasing graph layouts. However, it remains a challenging task since different layout methods tend to highlight different characteristics of…

机器学习 · 计算机科学 2021-06-30 Xiaoqi Wang , Kevin Yen , Yifan Hu , Han-Wei Shen

Graph neural networks (GNNs) have achieved remarkable success in processing graph-structured data across various applications. A critical aspect of real-world graphs is their dynamic nature, where new nodes are continually added and…

机器学习 · 计算机科学 2025-09-09 Huayi Tang , Yong Liu

We introduce a principled approach for unsupervised structure learning of deep neural networks. We propose a new interpretation for depth and inter-layer connectivity where conditional independencies in the input distribution are encoded…

机器学习 · 统计学 2018-10-18 Raanan Y. Rohekar , Shami Nisimov , Yaniv Gurwicz , Guy Koren , Gal Novik

Edges in real-world graphs are typically formed by a variety of factors and carry diverse relation semantics. For example, connections in a social network could indicate friendship, being colleagues, or living in the same neighborhood.…

社会与信息网络 · 计算机科学 2022-02-24 Tianxiang Zhao , Xiang Zhang , Suhang Wang

Graphs are general and powerful data representations which can model complex real-world phenomena, ranging from chemical compounds to social networks; however, effective feature extraction from graphs is not a trivial task, and much work…

Learning on point cloud is eagerly in demand because the point cloud is a common type of geometric data and can aid robots to understand environments robustly. However, the point cloud is sparse, unstructured, and unordered, which cannot be…

计算机视觉与模式识别 · 计算机科学 2019-08-07 Kuangen Zhang , Ming Hao , Jing Wang , Clarence W. de Silva , Chenglong Fu