Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/10460
Title: On the Conditional Independence Implication Problem: A Lattice-Theoretic Approach
Authors: Niepert, Mathias
Van Gucht, Dirk
GYSSENS, Marc 
Issue Date: 2008
Publisher: AUIA Press
Source: McAllester, David A. & Myllymäki, Petri (Ed.) UAI 2008, Proceedings of the 24th Conference in Uncertainty in Artificial Intelligence. p. 435-443.
Abstract: A lattice-theoretic framework is introduced that permits the study of the conditional in- dependence (CI) implication problem relative to the class of discrete probability measures. Semi-lattices are associated with CI state- ments and a finite, sound and complete in- ference system relative to semi-lattice inclu- sions is presented. This system is shown to be (1) sound and complete for saturated CI statements, (2) complete for general CI state- ments, and (3) sound and complete for stable CI statements. These results yield a criterion that can be used to falsify instances of the implication problem and several heuristics are derived that approximate this “lattice- exclusion” criterion in polynomial time. Fi- nally, we provide experimental results that relate our work to results obtained from other existing inference algorithms.
Document URI: http://hdl.handle.net/1942/10460
ISBN: 0-9749039-4-9
Category: C1
Type: Proceedings Paper
Appears in Collections:Research publications

Files in This Item:
File Description SizeFormat 
niepert.pdfPublished version180.78 kBAdobe PDFView/Open
Show full item record

Page view(s)

42
checked on Feb 24, 2022

Download(s)

68
checked on Feb 24, 2022

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.