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Maximum likelihood bounded tree-width Markov networks - MaRDI portal

Maximum likelihood bounded tree-width Markov networks (Q1853683)

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Maximum likelihood bounded tree-width Markov networks
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    Maximum likelihood bounded tree-width Markov networks (English)
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    22 January 2003
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    We study the problem of projecting a distribution onto (or finding a maximum likelihood distribution among) Markov networks of bounded tree-width. By casting it as the combinatorial optimization problem of finding a maximum weight hypertree, we prove that it is NP-hard to solve exactly and provide an approximation algorithm with a provable performance guarantee.
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    Markov networks
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    Markov random fields
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    undirected graphical models
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    entropy decomposition
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    hyper-trees
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    tree-width
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    hardness
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