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Dimension reduction for ultrametrics

Published:11 January 2004Publication History

ABSTRACT

We prove that an ultrametric on n points can be embedded in ldp with distortion at most 1 + ε, and d = O-2 log n). This bound matches the best known bound for the special case of an equilateral space.

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  1. Dimension reduction for ultrametrics

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    • Published in

      cover image ACM Conferences
      SODA '04: Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
      January 2004
      1113 pages
      ISBN:089871558X

      Publisher

      Society for Industrial and Applied Mathematics

      United States

      Publication History

      • Published: 11 January 2004

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      Acceptance Rates

      Overall Acceptance Rate411of1,322submissions,31%

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