Title
Clebsch-Gordan Nets: a Fully Fourier Space Spherical Convolutional Neural Network.
Abstract
Recent work by Cohen et al. [1] has achieved state-of-the-art results for learning spherical images in a rotation invariant way by using ideas from group representation theory and noncommutative harmonic analysis. In this paper we propose a generalization of this work that generally exhibits improved performace, but from an implementation point of view is actually simpler. An unusual feature of the proposed architecture is that it uses the Clebsch-Gordan transform as its only source of nonlinearity, thus avoiding repeated forward and backward Fourier transforms. The underlying ideas of the paper generalize to constructing neural networks that are invariant to the action of other compact groups.
Year
Venue
Keywords
2018
ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 31 (NIPS 2018)
convolutional neural network,group representation theory,the paper,noncommutative harmonic analysis,fourier transforms
DocType
Volume
ISSN
Conference
31
1049-5258
Citations 
PageRank 
References 
5
0.42
5
Authors
3
Name
Order
Citations
PageRank
Risi Kondor11301128.95
Zhen Lin2304.53
Trivedi, Shubhendu3100.85