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arXiv · 1512.01775

Approximate nearest neighbor search for $\ell_p$-spaces ($2 < p < \infty$) via embeddings

Yair Bartal·Lee-Ad Gottlieb
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Abstract

While the problem of approximate nearest neighbor search has been well-studied for Euclidean space and $\ell_1$, few non-trivial algorithms are known for $\ell_p$ when ($2 < p < \infty$). In this paper, we revisit this fundamental problem and present approximate nearest-neighbor search algorithms which give the first non-trivial approximation factor guarantees in this setting.

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Yair Bartal, Lee-Ad Gottlieb. 2015-12-06. Approximate nearest neighbor search for $\ell_p$-spaces ($2 < p < \infty$) via embeddings. https://arxiv.org/abs/1512.01775

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