Bi-Lipschitz Quotient embedding for Euclidean Group actions on Data
Commutative Algebra
2024-09-12 v1 Metric Geometry
Abstract
For the action of the orthogonal group or euclidean group on k-tuples of vectors we construct a bi-Lipschitz embedding from the orbit space into euclidean space.This embedding has distortion sqrt(2).
Keywords
Cite
@article{arxiv.2409.06829,
title = {Bi-Lipschitz Quotient embedding for Euclidean Group actions on Data},
author = {Harm Derksen},
journal= {arXiv preprint arXiv:2409.06829},
year = {2024}
}
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13 pages