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Author, Editor
Author(s):
Boros, Endre
Elbassioni, Khaled M.
Gurvich, Vladimir
Khachiyan, Leonid
Makino, Kazuhisa
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Not MPG Author(s):
Boros, Endre
Gurvich, Vladimir
Khachiyan, Leonid
Makino, Kazuhisa
Editor(s):
BibTeX cite key*:
Elbassioni2003d
Title, Booktitle
Title*:
An Intersection Inequality for Discrete Distributions and Related Generation Problems
Attachment(s)
:
ICALP03.pdf (198.12 KB)
Booktitle*:
Automata, Languages and Programming, 30th International Colloquium, ICALP 2003
Event, URLs
URL of the conference:
URL for downloading the paper:
Event Address*:
Eindhoven, The Netherlands
Language:
English
Event Date*
(no longer used):
Organization:
Event Start Date:
30 June 2003
Event End Date:
4 July 2003
Publisher
Name*:
Springer
URL:
Address*:
Berlin, Germany
Type:
Vol, No, Year, pp.
Series:
Lecture Notes in Computer Science
Volume:
2719
Number:
Month:
June
Pages:
543-555
Year*:
2003
VG Wort Pages:
ISBN/ISSN:
Sequence Number:
DOI:
Note, Abstract, ©
(LaTeX) Abstract:
Given two finite sets of points $ {\mathcal X},{\mathcal Y}$ in $ {\mathbb{R}}^n$ which can be separated by a nonnegative linear function, and such that the componentwise minimum of any two distinct points in $ {\mathcal X}$ is dominated by some point in $ {\mathcal Y}$, we show that $ \vert{\mathcal X}\vert\leq n\vert{\mathcal Y}\vert$. As a consequence of this result, we obtain quasi-polynomial time algorithms for generating all maximal integer feasible solutions for a given monotone system of separable inequalities, for generating all p-inefficient points of a given discrete probability distribution, and for generating all maximal empty hyper-rectangles for a given set of points in $ {\mathbb{R}}^n$. This provides a substantial improvement over previously known exponential algorithms for these generation problems related to Integer and Stochastic Programming, and Data Mining. Furthermore, we give an incremental polynomial time generation algorithm for monotone systems with fixed number of separable inequalities, which, for the very special case of one inequality, implies that for discrete probability distributions with independent coordinates, both p-efficient and p-inefficient points can be separately generated in incremental polynomial time.
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Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Algorithms and Complexity Group
Appearance:
MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort
BibTeX Entry:
@INPROCEEDINGS
{
Elbassioni2003d
,
AUTHOR = {Boros, Endre and Elbassioni, Khaled M. and Gurvich, Vladimir and Khachiyan, Leonid and Makino, Kazuhisa},
TITLE = {An Intersection Inequality for Discrete Distributions and Related Generation Problems},
BOOKTITLE = {Automata, Languages and Programming, 30th International Colloquium, ICALP 2003},
PUBLISHER = {Springer},
YEAR = {2003},
VOLUME = {2719},
PAGES = {543--555},
SERIES = {Lecture Notes in Computer Science},
ADDRESS = {Eindhoven, The Netherlands},
MONTH = {June},
}
Entry last modified by Christine Kiesel, 07/15/2014
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Editor(s)
[Library]
Created
02/22/2005 08:01:34 PM
Revisions
3.
2.
1.
0.
Editor(s)
Christine Kiesel
Christine Kiesel
Khaled Elbassioni
Khaled Elbassioni
Edit Dates
02.05.2007 15:40:05
02.06.2006 15:18:53
04/20/2006 06:39:11 PM
02/22/2005 08:01:35 PM
Attachment Section
Attachment Section
View attachments here:
ICALP03.pdf
ICALP03.pdf