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Triangulation by Continuous Embedding

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dc.creator Meila, Marina
dc.creator Jordan, Michael I.
dc.date 2004-10-20T20:48:48Z
dc.date 2004-10-20T20:48:48Z
dc.date 1997-03-01
dc.date.accessioned 2013-10-09T02:48:27Z
dc.date.available 2013-10-09T02:48:27Z
dc.date.issued 2013-10-09
dc.identifier AIM-1605
dc.identifier CBCL-146
dc.identifier http://hdl.handle.net/1721.1/7176
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description When triangulating a belief network we aim to obtain a junction tree of minimum state space. Searching for the optimal triangulation can be cast as a search over all the permutations of the network's vaeriables. Our approach is to embed the discrete set of permutations in a convex continuous domain D. By suitably extending the cost function over D and solving the continous nonlinear optimization task we hope to obtain a good triangulation with respect to the aformentioned cost. In this paper we introduce an upper bound to the total junction tree weight as the cost function. The appropriatedness of this choice is discussed and explored by simulations. Then we present two ways of embedding the new objective function into continuous domains and show that they perform well compared to the best known heuristic.
dc.format 6 p.
dc.format 1326120 bytes
dc.format 3467744 bytes
dc.format application/postscript
dc.format application/pdf
dc.language en_US
dc.relation AIM-1605
dc.relation CBCL-146
dc.subject AI
dc.subject MIT
dc.subject belief networks
dc.subject triangulation
dc.subject combinatorial optimization
dc.title Triangulation by Continuous Embedding


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