Publication:
On the Estimation of Markov Random Field Parameters

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Authors
Borges, C.F.
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Date of Issue
1999
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Abstract
We examine the histogram method proposed in [1] for estimating the parameters associated with a Markov random field. This method relies on the estimation of the local interaction sums from histogram data. We derive an estimator for these quantities that is optimal in a well-defined sense. Furthermore, we show that the final step of the histogram method, the solution of a least- squares problem, can be done substantially faster than one might expect if no equation culling is used. We also examine the use of weighted least-squares and see that this seems to lead to better estimates even with small amounts of data.
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IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 21, no. 3, March 1999, pp. 216-224.
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Applied Mathematics
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C.F. Borges, On the Estimation of Markov Random Field Parameters, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 21, no. 3, March 1999, pp. 216-224.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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