English

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

Computational Geometry 2015-12-08 v1 Data Structures and Algorithms

Abstract

While the problem of approximate nearest neighbor search has been well-studied for Euclidean space and 1\ell_1, few non-trivial algorithms are known for p\ell_p when (2<p<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.

Keywords

Cite

@article{arxiv.1512.01775,
  title  = {Approximate nearest neighbor search for $\ell_p$-spaces ($2 < p < \infty$) via embeddings},
  author = {Yair Bartal and Lee-Ad Gottlieb},
  journal= {arXiv preprint arXiv:1512.01775},
  year   = {2015}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1408.1789