Dimension Reduction for Ultrametrics

Yair Bartal; Manor Mendel

Dimension Reduction for Ultrametrics

Yair Bartal^*
, Manor Mendel

^*Corresponding author for this work

The Rachel and Selim Benin School of Engineering and Computer Science

Research output: Contribution to conference › Paper › peer-review

13 Scopus citations

Abstract

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

Original language	English
Pages	657-658
Number of pages	2
State	Published - 2004
Event	Proceedings of the Fifteenth Annual ACM-SIAM Symposium on Discrete Algorithms - New Orleans, LA., United States Duration: 11 Jan 2004 → 13 Jan 2004

Conference

Conference	Proceedings of the Fifteenth Annual ACM-SIAM Symposium on Discrete Algorithms
Country/Territory	United States
City	New Orleans, LA.
Period	11/01/04 → 13/01/04

Cite this

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title = "Dimension Reduction for Ultrametrics",

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

author = "Yair Bartal and Manor Mendel",

year = "2004",

language = "אנגלית",

pages = "657--658",

note = "Proceedings of the Fifteenth Annual ACM-SIAM Symposium on Discrete Algorithms ; Conference date: 11-01-2004 Through 13-01-2004",

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TY - CONF

T1 - Dimension Reduction for Ultrametrics

AU - Bartal, Yair

AU - Mendel, Manor

PY - 2004

Y1 - 2004

N2 - We prove that an ultrametric on n points can be embedded in l p d with distortion at most 1 + ε, and d = O(ε -2log n). This bound matches the best known bound for the special case of an equilateral space.

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

UR - https://www.scopus.com/pages/publications/1842487383

M3 - ???researchoutput.researchoutputtypes.contributiontoconference.paper???

AN - SCOPUS:1842487383

SP - 657

EP - 658

T2 - Proceedings of the Fifteenth Annual ACM-SIAM Symposium on Discrete Algorithms

Y2 - 11 January 2004 through 13 January 2004

ER -

Dimension Reduction for Ultrametrics

Abstract

Conference

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