Chebyshev Spectral Convolutional Neural Network (ChebNet)

A Chebyshev Spectral Convolutional Neural Network (ChebNet) is a Spectral Graph Convolutional Network that uses Chebyshev polynomials for constructing spectral filters.

• Example(s):
  • Defferrard-Bresson-Vandergheynst ChebNet (Defferrard et al., 2016),
  • Hammond-Vandergheynst-Gribonval ChebNet (Hammond et al., 2011),
  • …
• Counter-Example(s):
  • CayleyNet.
• See: Spectral Graph Convolutional Network, Graph Convolutional Network, K-polynomial Filter.

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References

2016

• (Defferrard et al., 2016) ⇒ Michael Defferrard, Xavier Bresson, and Pierre Vandergheynst (2016). "Convolutional Neural Networks on Graphs with Fast Localized Spectral Filtering". In: Proceeding of the Advances in Neural Information Processing Systems 29 (NIPS 2016).

2011

• (Hammond et al., 2011) ⇒ David K. Hammond, Pierre Vandergheynst, and Remi Gribonval (2011). "Wavelets on graphs via spectral graph theory". In: Applied and Computational Harmonic Analysis, Volume 30, Issue 2.

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