Graph convolutional neural networks via scattering
Publication
, Journal Article
Zou, D; Lerman, G
Published in: Applied and Computational Harmonic Analysis
November 1, 2020
We generalize the scattering transform to graphs and consequently construct a convolutional neural network on graphs. We show that under certain conditions, any feature generated by such a network is approximately invariant to permutations and stable to signal and graph manipulations. Numerical results demonstrate competitive performance on relevant datasets.
Duke Scholars
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Published In
Applied and Computational Harmonic Analysis
DOI
EISSN
1096-603X
ISSN
1063-5203
Publication Date
November 1, 2020
Volume
49
Issue
3
Start / End Page
1046 / 1074
Related Subject Headings
- Numerical & Computational Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Zou, D., & Lerman, G. (2020). Graph convolutional neural networks via scattering. Applied and Computational Harmonic Analysis, 49(3), 1046–1074. https://doi.org/10.1016/j.acha.2019.06.003
Zou, D., and G. Lerman. “Graph convolutional neural networks via scattering.” Applied and Computational Harmonic Analysis 49, no. 3 (November 1, 2020): 1046–74. https://doi.org/10.1016/j.acha.2019.06.003.
Zou D, Lerman G. Graph convolutional neural networks via scattering. Applied and Computational Harmonic Analysis. 2020 Nov 1;49(3):1046–74.
Zou, D., and G. Lerman. “Graph convolutional neural networks via scattering.” Applied and Computational Harmonic Analysis, vol. 49, no. 3, Nov. 2020, pp. 1046–74. Scopus, doi:10.1016/j.acha.2019.06.003.
Zou D, Lerman G. Graph convolutional neural networks via scattering. Applied and Computational Harmonic Analysis. 2020 Nov 1;49(3):1046–1074.
Published In
Applied and Computational Harmonic Analysis
DOI
EISSN
1096-603X
ISSN
1063-5203
Publication Date
November 1, 2020
Volume
49
Issue
3
Start / End Page
1046 / 1074
Related Subject Headings
- Numerical & Computational Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics