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Summary of Coefficient Decomposition For Spectral Graph Convolution, by Feng Huang et al.


Coefficient Decomposition for Spectral Graph Convolution

by Feng Huang, Wen Zhang

First submitted to arxiv on: 6 May 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Artificial Intelligence (cs.AI)

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
This paper proposes a general form for spectral graph convolutional networks (SGCNs) based on graph signal filters, which has shown promise in modeling graph-structured data. The authors explore various polynomial basis coefficients and model architectures, showing that existing SGCNs can be derived from the proposed framework by coefficient decomposition operations. Building on this foundation, the paper introduces two novel spectral graph convolutions: CoDeSGC-CP and -Tucker, which apply tensor decomposition techniques to improve performance. Experimental results demonstrate significant improvements in performance.
Low GrooveSquid.com (original content) Low Difficulty Summary
Spectral graph convolutional networks (SGCNs) are a type of graph neural network that uses filters to model graph-structured data. The authors of this paper explore ways to improve SGCNs by looking at the coefficients used in these filters and how they’re arranged. They show that existing SGCNs can be built using their new approach, and use this idea to create two new types of SGNs that do better than before. This is important because it could help with things like social network analysis and recommendation systems.

Keywords

» Artificial intelligence  » Graph neural network