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

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arxiv 2404.11735 v2 pith:5RJVV5CK submitted 2024-04-17 cs.LG cs.CVcs.RO

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

classification cs.LG cs.CVcs.RO
keywords learningrepresentationsrotationguidemanyrepresentationrotationswhether
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 5 Pith papers

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  2. Revisiting Euler-Angle Regression with Kolmogorov-Arnold Networks

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