A Simple and Universal Rotation Equivariant Point-cloud Network

03/02/2022

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by   Ben Finkelshtein, et al.

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Equivariance to permutations and rigid motions is an important inductive bias for various 3D learning problems. Recently it has been shown that the equivariant Tensor Field Network architecture is universal – it can approximate any equivariant function. In this paper we suggest a much simpler architecture, prove that it enjoys the same universality guarantees and evaluate its performance on Modelnet40. The code to reproduce our experiments is available at <https://github.com/simpleinvariance/UniversalNetwork>