Graph convolutional networks: a comprehensive review
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TLDR
A comprehensive review specifically on the emerging field of graph convolutional networks, which is one of the most prominent graph deep learning models, is conducted and several open challenges are presented and potential directions for future research are discussed.Abstract:
Graphs naturally appear in numerous application domains, ranging from social analysis, bioinformatics to computer vision. The unique capability of graphs enables capturing the structural relations among data, and thus allows to harvest more insights compared to analyzing data in isolation. However, it is often very challenging to solve the learning problems on graphs, because (1) many types of data are not originally structured as graphs, such as images and text data, and (2) for graph-structured data, the underlying connectivity patterns are often complex and diverse. On the other hand, the representation learning has achieved great successes in many areas. Thereby, a potential solution is to learn the representation of graphs in a low-dimensional Euclidean space, such that the graph properties can be preserved. Although tremendous efforts have been made to address the graph representation learning problem, many of them still suffer from their shallow learning mechanisms. Deep learning models on graphs (e.g., graph neural networks) have recently emerged in machine learning and other related areas, and demonstrated the superior performance in various problems. In this survey, despite numerous types of graph neural networks, we conduct a comprehensive review specifically on the emerging field of graph convolutional networks, which is one of the most prominent graph deep learning models. First, we group the existing graph convolutional network models into two categories based on the types of convolutions and highlight some graph convolutional network models in details. Then, we categorize different graph convolutional networks according to the areas of their applications. Finally, we present several open challenges in this area and discuss potential directions for future research.read more
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References
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Proceedings Article
Learning Steady-States of Iterative Algorithms over Graphs
TL;DR: This paper proposes an embedding representation for iterative algorithms over graphs, and designs a learning method which alternates between updating the embeddings and projecting them onto the steadystate constraints.
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Deformable Shape Completion with Graph Convolutional Autoencoders
TL;DR: In this paper, a variational autoencoder with graph convolutional operations is used to learn a latent space for complete realistic shapes, which is then optimized to find the representation in this latent space that best fits the generated shape to the known partial input.
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On the equivalence between graph isomorphism testing and function approximation with GNNs
TL;DR: In particular, the authors showed that order-2 Graph G-invariant networks fail to distinguish non-isomorphic regular graphs with the same degree and proposed Ring-GNNs to distinguish these graphs.
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RGCNN: Regularized Graph CNN for Point Cloud Segmentation
TL;DR: A regularized graph convolutional neural network (RGCNN) that directly consumes point clouds is proposed that significantly reduces the computational complexity while achieving competitive performance with the state of the art.
Proceedings Article
On the equivalence between graph isomorphism testing and function approximation with GNNs
TL;DR: It is proved that order-2 Graph G-invariant networks fail to distinguish non-isomorphic regular graphs with the same degree, and is extended to a new architecture, Ring-GNNs, which succeeds on distinguishing these graphs and provides improvements on real-world social network datasets.