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引用次数: 0
摘要
对于正交群或欧几里得群对 k 个向量元组的作用,我们构建了一个从轨道空间到欧几里得空间的双利普希茨嵌入。
Bi-Lipschitz Quotient embedding for Euclidean Group actions on Data
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).