Efficient construction of a small hitting set for combinatorial rectangles in high dimension

Nati Linial, Michael Luby, Michael Saks, David Zuckerman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Scopus citations

Abstract

Given d, m and €, we deterministically produce a sequence of points S that hits every combinatorial rectangle in [m]d of volume at least 6. Both the running time of the algorithm and ISI are polynomial in m log(d) /€. This algorithm has applications to deterministic constructions of small sample spaces for general multivalued random variables.

Original languageEnglish (US)
Title of host publicationProceedings of the 25th Annual ACM Symposium on Theory of Computing, STOC 1993
PublisherAssociation for Computing Machinery
Pages258-267
Number of pages10
ISBN (Electronic)0897915917
DOIs
StatePublished - Jun 1 1993
Event25th Annual ACM Symposium on Theory of Computing, STOC 1993 - San Diego, United States
Duration: May 16 1993May 18 1993

Publication series

NameProceedings of the Annual ACM Symposium on Theory of Computing
VolumePart F129585

Other

Other25th Annual ACM Symposium on Theory of Computing, STOC 1993
Country/TerritoryUnited States
CitySan Diego
Period5/16/935/18/93

ASJC Scopus subject areas

  • Software

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