ICML 2024poster16 citations

Learning with 3D rotations, a hitchhiker's guide to SO(3)

Andreas René Geist, Jonas Frey, Mikel Zhobro, Anna Levina, Georg Martius

Abstract

Many settings in machine learning require the selection of a rotation representation. However, choosing a suitable representation from the many available options is challenging. This paper acts as a survey and guide through rotation representations. We walk through their properties that harm or benefit deep learning with gradient-based optimization. By consolidating insights from rotation-based learning, we provide a comprehensive overview of learning functions with rotation representations. We provide guidance on selecting representations based on whether rotations are in the model’s input or output and whether the data primarily comprises small angles.

BibTeX
@inproceedings{
geist2024learning,
title={Learning with 3D rotations, a hitchhiker's guide to {SO}(3)},
author={Andreas Ren{\'e} Geist and Jonas Frey and Mikel Zhobro and Anna Levina and Georg Martius},
booktitle={Forty-first International Conference on Machine Learning},
year={2024},
url={https://openreview.net/forum?id=L0VoOdjCUb}
}
Learning with 3D rotations, a hitchhiker's guide to SO(3) · ICML 2024