Online embedding of metrics

Ilan Newman; Yuri Rabinovich

doi:10.1007/s11856-025-2741-2

Online embedding of metrics

Ilan Newman, Yuri Rabinovich

Department of Computer Science

University of Haifa

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

Abstract

We study deterministic online embeddings of metric spaces into normed spaces and into trees against an adaptive adversary. Main results include a polynomial lower bound on the (multiplicative) distortion of embedding into Euclidean spaces, a tight exponential upper bound on embedding into the line, and a (1 + ϵ)-distortion embedding in ℓ^∞ of a suitably high dimension.

Original language	American English
Journal	Israel Journal of Mathematics
DOIs	https://doi.org/10.1007/s11856-025-2741-2
State	Accepted/In press - 2025

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s11856-025-2741-2

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title = "Online embedding of metrics",

abstract = "We study deterministic online embeddings of metric spaces into normed spaces and into trees against an adaptive adversary. Main results include a polynomial lower bound on the (multiplicative) distortion of embedding into Euclidean spaces, a tight exponential upper bound on embedding into the line, and a (1 + ϵ)-distortion embedding in ℓ∞ of a suitably high dimension.",

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AU - Rabinovich, Yuri

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AB - We study deterministic online embeddings of metric spaces into normed spaces and into trees against an adaptive adversary. Main results include a polynomial lower bound on the (multiplicative) distortion of embedding into Euclidean spaces, a tight exponential upper bound on embedding into the line, and a (1 + ϵ)-distortion embedding in ℓ∞ of a suitably high dimension.

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M3 - Article

SN - 0021-2172

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Online embedding of metrics

Abstract

All Science Journal Classification (ASJC) codes

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