Nearest-neighbor-preserving embeddings-Reference-Cited by-同舟云学术

Nearest-neighbor-preserving embeddings

Published:2007-08 Issue:3 Volume:3 Page:31
ISSN:1549-6325
Container-title:ACM Transactions on Algorithms
language:en
Short-container-title:ACM Trans. Algorithms

Author:

Indyk Piotr¹,Naor Assaf²

Affiliation:

1. MIT, Cambridge, MA

2. Microsoft Research, New York, NY

Abstract

In this article we introduce the notion of nearest-neighbor-preserving embeddings. These are randomized embeddings between two metric spaces which preserve the (approximate) nearest-neighbors. We give two examples of such embeddings for Euclidean metrics with low “intrinsic” dimension. Combining the embeddings with known data structures yields the best-known approximate nearest-neighbor data structures for such metrics.

Publisher

Association for Computing Machinery (ACM)

Subject

Mathematics (miscellaneous)

Link

https://dl.acm.org/doi/pdf/10.1145/1273340.1273347

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