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Poster
in
Workshop: Topology, Algebra, and Geometry in Machine Learning

A simple and universal rotation equivariant point-cloud network

Ben Finkelshtein · Chaim Baskin · Haggai Maron · Nadav Dym


Abstract:

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}

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