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arXiv · 1204.2612

Computing bounds for entropy of stationary Z^d Markov random fields

Brian Marcus·Ronnie Pavlov
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Abstract

For any stationary $\mZ^d$-Gibbs measure that satisfies strong spatial mixing, we obtain sequences of upper and lower approximations that converge to its entropy. In the case, $d=2$, these approximations are efficient in the sense that the approximations are accurate to within $\epsilon$ and can be computed in time polynomial in $1/\epsilon$.

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Brian Marcus, Ronnie Pavlov. 2012-04-12. Computing bounds for entropy of stationary Z^d Markov random fields. https://arxiv.org/abs/1204.2612

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