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Nonlinear dimension reduction via outer Bi-Lipschitz extensions.

STOC '18: Symposium on Theory of Computing Los Angeles CA USA June, 20..., (2018): 1088-1101

Cited by: 13|Views62
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Abstract

We introduce and study the notion of *an outer bi-Lipschitz extension* of a map between Euclidean spaces. The notion is a natural analogue of the notion of *a Lipschitz extension* of a Lipschitz map. We show that for every map f there exists an outer bi-Lipschitz extension f′ whose distortion is greater than that of f by at most a constan...More

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