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arXiv · 2303.15945

Online embedding of metrics

Ilan Newman·Yuri Rabinovich
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Abstract

We study deterministic online embeddings of metrics 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 $(1+\epsilon)$-distortion embedding in $\ell_\infty$ of a suitably high dimension.

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Ilan Newman, Yuri Rabinovich. 2023-03-28. Online embedding of metrics. https://arxiv.org/abs/2303.15945

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