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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 |
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niepert.pdf | Published version | 180.78 kB | Adobe PDF | View/Open |
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