A simple and universal rotation equivariant point-cloud network

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 \url{https://github.com/simpleinvariance/UniversalNetwork}