Abstract
Two types of problem arise in the wake of the preceding chapter. With the expression for the Gibbs distribution \(P\left[ {X = x|Y = y} \right] = \frac{1}{Z}\exp - U\left( {x|y} \right)\) of a Markov random field X, these problems are
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(al)
To simulate [X | Y = y] according to this distribution,
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(a2)
To calculate E[f (X) | Y = y] = Σx∈E f(x)P[X = x | Y = y]
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(al)
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(b)
To minimize U(x | y)
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(b)
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© 2003 Springer-Verlag New York, Inc.
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Chalmond, B. (2003). High-Dimensionality Simulation and Optimization. In: Modeling and Inverse Problems in Imaging Analysis. Applied Mathematical Sciences, vol 155. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21662-1_7
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DOI: https://doi.org/10.1007/978-0-387-21662-1_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3049-1
Online ISBN: 978-0-387-21662-1
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