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Sample complexity of determining structures of graphical models | IEEE Conference Publication | IEEE Xplore

Sample complexity of determining structures of graphical models


Abstract:

We consider discovering the graph structure of a pairwise Markov random field (MRF) on p binary random variables using n samples from the underlying MRF distribution. We ...Show More

Abstract:

We consider discovering the graph structure of a pairwise Markov random field (MRF) on p binary random variables using n samples from the underlying MRF distribution. We analyze the information-theoretic limitations of this problem under high-dimensional scaling, when the number of connections of each variable in the underlying MRF is bounded by d.We derive both necessary and sufficient conditions on the scaling of the triplet (n, p, d) for asympotically reliable recovery of the graph structure.
Date of Conference: 23-26 September 2008
Date Added to IEEE Xplore: 04 March 2009
ISBN Information:
Conference Location: Monticello, IL, USA

References

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