Nearest-neighbor-preserving embeddings

Piotr Indyk, Assaf Naor

Research output: Contribution to journalArticlepeer-review


In this article we introduce the notion of nearest-neighbor-preserving embeddings. These are randomized embeddings between two metric spaces which preserve the (approximate) nearest-neighbors. We give two examples of such embeddings for Euclidean metrics with low intrinsic dimension. Combining the embeddings with known data structures yields the best-known approximate nearest-neighbor data structures for such metrics.

Original languageEnglish (US)
Article number1273347
JournalACM Transactions on Algorithms
Issue number3
StatePublished - Aug 1 2007


  • Dimensionality reduction
  • Doubling spaces
  • Embeddings
  • Nearest neighbor

ASJC Scopus subject areas

  • Mathematics (miscellaneous)


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