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Hölder Homeomorphisms and Approximate Nearest Neighbors.

2018 IEEE 59TH ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE (FOCS), pp.159-169, (2018)

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Abstract

We study bi-Holder homeomorphisms be tween the unit spheres of finite-dimensional normed spaces and use them to obtain better data structures for high-dimensional Approximate Near Neighbor search (ANN) in general normed spaces. Our main structural result is a finite-dimensional quantitative version of the following theorem of Daher (1993)...More

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