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Important advances have been made using convolutional neural network (CNN) approaches to solve complicated problems in areas that rely on grid structured data such as image processing and object classification. Recently, research on graph…

Machine Learning · Statistics 2018-08-24 Matthew Baron

Two architectures that generalize convolutional neural networks (CNNs) for the processing of signals supported on graphs are introduced. We start with the selection graph neural network (GNN), which replaces linear time invariant filters…

Signal Processing · Electrical Eng. & Systems 2019-01-30 Fernando Gama , Antonio G. Marques , Geert Leus , Alejandro Ribeiro

While convolutional neural networks (CNNs) have recently made great strides in supervised classification of data structured on a grid (e.g. images composed of pixel grids), in several interesting datasets, the relations between features can…

Machine Learning · Computer Science 2018-11-02 Shrey Gadiya , Deepak Anand , Amit Sethi

Network data can be conveniently modeled as a graph signal, where data values are assigned to nodes of a graph that describes the underlying network topology. Successful learning from network data is built upon methods that effectively…

Machine Learning · Computer Science 2021-05-26 Fernando Gama , Elvin Isufi , Geert Leus , Alejandro Ribeiro

Recently, graph Convolutional Neural Networks (graph CNNs) have been widely used for graph data representation and semi-supervised learning tasks. However, existing graph CNNs generally use a fixed graph which may be not optimal for…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Bo Jiang , Ziyan Zhang , Doudou Lin , Jin Tang

We perform topological data analysis on the internal states of convolutional deep neural networks to develop an understanding of the computations that they perform. We apply this understanding to modify the computations so as to (a) speed…

Machine Learning · Computer Science 2018-11-06 Gunnar Carlsson , Rickard Brüel Gabrielsson

Graph Convolutional Neural Networks (Graph CNNs) are generalizations of classical CNNs to handle graph data such as molecular data, point could and social networks. Current filters in graph CNNs are built for fixed and shared graph…

Machine Learning · Computer Science 2018-01-11 Ruoyu Li , Sheng Wang , Feiyun Zhu , Junzhou Huang

Convolution Neural Networks on Graphs are important generalization and extension of classical CNNs. While previous works generally assumed that the graph structures of samples are regular with unified dimensions, in many applications, they…

Machine Learning · Computer Science 2017-08-17 Ruoyu Li , Junzhou Huang

Graph neural networks (GNN) extends deep learning to graph-structure dataset. Similar to Convolutional Neural Networks (CNN) using on image prediction, convolutional and pooling layers are the foundation to success for GNN on graph…

Machine Learning · Computer Science 2023-02-28 Lingjie Kong , Yun Liao

While convolutional neural nets (CNNs) have achieved remarkable performance for a wide range of inverse imaging applications, the filter coefficients are computed in a purely data-driven manner and are not explainable. Inspired by an…

Image and Video Processing · Electrical Eng. & Systems 2020-02-18 Weng-tai Su , Gene Cheung , Richard Wildes , Chia-Wen Lin

Graph Convolutional Neural Networks (GCNNs) are generalizations of CNNs to graph-structured data, in which convolution is guided by the graph topology. In many cases where graphs are unavailable, existing methods manually construct graphs…

Machine Learning · Computer Science 2019-09-17 Xiang Gao , Wei Hu , Zongming Guo

The effective representation, processing, analysis, and visualization of large-scale structured data, especially those related to complex domains such as networks and graphs, are one of the key questions in modern machine learning. Graph…

Machine Learning · Computer Science 2020-12-02 Xiaowen Dong , Dorina Thanou , Laura Toni , Michael Bronstein , Pascal Frossard

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

Recently, graph neural networks (GNNs) have proved to be suitable in tasks on unstructured data. Particularly in tasks as community detection, node classification, and link prediction. However, most GNN models still operate with static…

Machine Learning · Computer Science 2019-06-07 Darwin Saire Pilco , Adín Ramírez Rivera

Deep learning methods for graphs have seen rapid progress in recent years with much focus awarded to generalising Convolutional Neural Networks (CNN) to graph data. CNNs are typically realised by alternating convolutional and pooling layers…

Machine Learning · Computer Science 2020-06-04 Yaniv Shulman

Learning graph convolutional networks (GCNs) is an emerging field which aims at generalizing convolutional operations to arbitrary non-regular domains. In particular, GCNs operating on spatial domains show superior performances compared to…

Computer Vision and Pattern Recognition · Computer Science 2021-12-08 Hichem Sahbi

Graphs are widely used to describe real-world objects and their interactions. Graph Neural Networks (GNNs) as a de facto model for analyzing graphstructured data, are highly sensitive to the quality of the given graph structures. Therefore,…

Machine Learning · Computer Science 2022-02-16 Yanqiao Zhu , Weizhi Xu , Jinghao Zhang , Yuanqi Du , Jieyu Zhang , Qiang Liu , Carl Yang , Shu Wu

Network topology inference is a prominent problem in Network Science. Most graph signal processing (GSP) efforts to date assume that the underlying network is known, and then analyze how the graph's algebraic and spectral characteristics…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Gonzalo Mateos , Santiago Segarra , Antonio G. Marques , Alejandro Ribeiro

Graph convolutional learning has led to many exciting discoveries in diverse areas. However, in some applications, traditional graphs are insufficient to capture the structure and intricacies of the data. In such scenarios, multigraphs…

Machine Learning · Computer Science 2023-04-26 Landon Butler , Alejandro Parada-Mayorga , Alejandro Ribeiro

Convolutional neural networks (CNNs), in a few decades, have outperformed the existing state of the art methods in classification context. However, in the way they were formalised, CNNs are bound to operate on euclidean spaces. Indeed,…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Chloé Martineau , Romain Raveaux , Donatello Conte , Gilles Venturini
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