Papers › DeepSphere: towards an equivariant graph-based spherical CNN

DeepSphere: towards an equivariant graph-based spherical CNN

8 Apr 2019arXiv:1904.05146archive 2025-07-28

Michaël Defferrard, Nathanaël Perraudin, Tomasz Kacprzak, Raphael Sgier

Spherical data is found in many applications. By modeling the discretized sphere as a graph, we can accommodate non-uniformly distributed, partial, and changing samplings. Moreover, graph convolutions are computationally more efficient than spherical convolutions. As equivariance is desired to exploit rotational symmetries, we discuss how to approach rotation equivariance using the graph neural network introduced in Defferrard et al. (2016). Experiments show good performance on rotation-invariant learning problems. Code and examples are available at https://github.com/SwissDataScienceCenter/DeepSphere

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