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  Finding All Minimal Infrequent Multi-dimensional Intervals

Elbassioni, K. (2006). Finding All Minimal Infrequent Multi-dimensional Intervals. In LATIN 2006: Theoretical Informatics, 7th Latin American Symposium (pp. 423-434). Berlin, Germany: Springer.

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 Urheber:
Elbassioni, Khaled1, Autor           
Correa, José R., Herausgeber
Hevia, Alejandro, Herausgeber
Kiwi, Marcos A., Herausgeber
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Zusammenfassung: Let be a database of transactions on n attributes, where each attribute specifies a (possibly empty) real closed interval . Given an integer threshold t, a multi-dimensional interval I=([a1,b1], ..., [an,bn]) is called t-frequent, if (every component interval of) I is contained in (the corresponding component of) at least t transactions of and otherwise, I is said to be t-infrequent. We consider the problem of generating all minimal t-infrequent multi-dimensional intervals, for a given database and threshold t. This problem may arise, for instance, in the generation of association rules for a database of time-dependent transactions. We show that this problem can be solved in quasi-polynomial time. This is established by developing a quasi- polynomial time algorithm for generating maximal independent elements for a set of vectors in the product of lattices of intervals, a result which may be of independent interest. In contrast, the generation problem for maximal frequent intervals turns out to be NP-hard.

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Sprache(n): eng - English
 Datum: 2007-04-112006
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: Berlin, Germany : Springer
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: eDoc: 314515
Anderer: Local-ID: C1256428004B93B8-6ACA73B93A364142C12571470003C7AD-Elbassioni2006c
 Art des Abschluß: -

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Titel: Untitled Event
Veranstaltungsort: Valdivia, Chile
Start-/Enddatum: 2006-03-20

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Titel: LATIN 2006: Theoretical Informatics, 7th Latin American Symposium
Genre der Quelle: Konferenzband
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: Berlin, Germany : Springer
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: 423 - 434 Identifikator: -