Approximations of general independent distributions

Guy Even; Oded Goldreicht; Michael Luby; Noam Nisan; Boban Velickovic

doi:10.1145/129712.129714

Approximations of general independent distributions

Guy Even
, Oded Goldreicht
, Michael Luby
, Noam Nisan
, Boban Velickovic

The Rachel and Selim Benin School of Engineering and Computer Science

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

59 Scopus citations

Abstract

We describe efficient constructions of small probability spaces that approximate the independent distribution for general random variables. Previous work on efficient constructions concentrate on approximations of the independent distribution for the special case of uniform boolean-valued random variables. Our results yield efficient constructions of small sets with low discrepancy in high dimensional space and have applications to de-randomizing randomized algorithms.

Original language	English
Title of host publication	Proceedings of the 24th Annual ACM Symposium on Theory of Computing, STOC 1992
Publisher	Association for Computing Machinery
Pages	10-16
Number of pages	7
ISBN (Electronic)	0897915119
DOIs	https://doi.org/10.1145/129712.129714
State	Published - 1 Jul 1992
Event	24th Annual ACM Symposium on Theory of Computing, STOC 1992 - Victoria, Canada Duration: 4 May 1992 → 6 May 1992

Publication series

Name	Proceedings of the Annual ACM Symposium on Theory of Computing
Volume	Part F129722
ISSN (Print)	0737-8017

Conference

Conference	24th Annual ACM Symposium on Theory of Computing, STOC 1992
Country/Territory	Canada
City	Victoria
Period	4/05/92 → 6/05/92

Bibliographical note

Publisher Copyright:
© 1992 ACM.

Access to Document

10.1145/129712.129714

Cite this

Even, G., Goldreicht, O., Luby, M., Nisan, N., & Velickovic, B. (1992). Approximations of general independent distributions. In Proceedings of the 24th Annual ACM Symposium on Theory of Computing, STOC 1992 (pp. 10-16). (Proceedings of the Annual ACM Symposium on Theory of Computing; Vol. Part F129722). Association for Computing Machinery. https://doi.org/10.1145/129712.129714

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title = "Approximations of general independent distributions",

abstract = "We describe efficient constructions of small probability spaces that approximate the independent distribution for general random variables. Previous work on efficient constructions concentrate on approximations of the independent distribution for the special case of uniform boolean-valued random variables. Our results yield efficient constructions of small sets with low discrepancy in high dimensional space and have applications to de-randomizing randomized algorithms.",

author = "Guy Even and Oded Goldreicht and Michael Luby and Noam Nisan and Boban Velickovic",

note = "Publisher Copyright: {\textcopyright} 1992 ACM.; 24th Annual ACM Symposium on Theory of Computing, STOC 1992 ; Conference date: 04-05-1992 Through 06-05-1992",

year = "1992",

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Even, G, Goldreicht, O, Luby, M, Nisan, N & Velickovic, B 1992, Approximations of general independent distributions. in Proceedings of the 24th Annual ACM Symposium on Theory of Computing, STOC 1992. Proceedings of the Annual ACM Symposium on Theory of Computing, vol. Part F129722, Association for Computing Machinery, pp. 10-16, 24th Annual ACM Symposium on Theory of Computing, STOC 1992, Victoria, Canada, 4/05/92. https://doi.org/10.1145/129712.129714

Approximations of general independent distributions. / Even, Guy; Goldreicht, Oded; Luby, Michael et al.
Proceedings of the 24th Annual ACM Symposium on Theory of Computing, STOC 1992. Association for Computing Machinery, 1992. p. 10-16 (Proceedings of the Annual ACM Symposium on Theory of Computing; Vol. Part F129722).

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

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Approximations of general independent distributions

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