Approximate nearest neighbor search for ℓp-spaces (2 < p < ∞) via embeddings

Yair Bartal; Lee Ad Gottlieb

doi:10.1016/j.tcs.2018.07.011

Approximate nearest neighbor search for ℓ_p-spaces (2 < p < ∞) via embeddings

Yair Bartal
, Lee Ad Gottlieb^*

^*Corresponding author for this work

The Rachel and Selim Benin School of Engineering and Computer Science

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

While the problem of approximate nearest neighbor search has been well-studied for Euclidean space and ℓ₁, few non-trivial algorithms are known for ℓ_p when 2<p<∞. In this paper, we revisit this fundamental problem and present approximate nearest-neighbor search algorithms which give the best known approximation factor guarantees in this setting.

Original language	English
Pages (from-to)	27-35
Number of pages	9
Journal	Theoretical Computer Science
Volume	757
DOIs	https://doi.org/10.1016/j.tcs.2018.07.011
State	Published - 24 Jan 2019

Bibliographical note

Publisher Copyright:
© 2018 Elsevier B.V.

Keywords

Nearest neighbor search
ℓ spaces

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10.1016/j.tcs.2018.07.011

Cite this

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title = "Approximate nearest neighbor search for ℓp-spaces (2 < p < ∞) via embeddings",

abstract = "While the problem of approximate nearest neighbor search has been well-studied for Euclidean space and ℓ1, few non-trivial algorithms are known for ℓp when 2",

keywords = "Nearest neighbor search, ℓ spaces",

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year = "2019",

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doi = "10.1016/j.tcs.2018.07.011",

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N2 - While the problem of approximate nearest neighbor search has been well-studied for Euclidean space and ℓ1, few non-trivial algorithms are known for ℓp when 2

AB - While the problem of approximate nearest neighbor search has been well-studied for Euclidean space and ℓ1, few non-trivial algorithms are known for ℓp when 2

KW - Nearest neighbor search

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JO - Theoretical Computer Science

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Approximate nearest neighbor search for ℓ_p-spaces (2 < p < ∞) via embeddings

Abstract

Bibliographical note

Keywords

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Cite this

Approximate nearest neighbor search for ℓp-spaces (2 < p < ∞) via embeddings

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this

Approximate nearest neighbor search for ℓ_p-spaces (2 < p < ∞) via embeddings