Dimension Reduction for Ultrametrics

Yair Bartal; Manor Mendel

Dimension Reduction for Ultrametrics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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
Title of host publication	Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms
Pages	657-658
Number of pages	2
Volume	15
State	Published - 2004
Externally published	Yes
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

@inproceedings{074df63fcb4e4483b90c842cef59bee0,

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",

volume = "15",

pages = "657--658",

booktitle = "Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms",

}

TY - GEN

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.contributiontobookanthology.conference???

AN - SCOPUS:1842487383

VL - 15

SP - 657

EP - 658

BT - Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms

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

Other files and links

Fingerprint

Cite this