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

The Hebrew University of Jerusalem, Ariel University

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

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

Keywords

Nearest neighbor search
ℓ spaces

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
General Computer Science

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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",

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AU - Gottlieb, Lee Ad

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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

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JO - Theoretical Computer Science

JF - Theoretical Computer Science

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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Cite this

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this

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