Exact Maximum A Posteriori Estimation for Binary Images

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ID: 298140
1989
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Ranked #116 of 145 articles by views in Journal of the Royal Statistical Society Series B (Statistical Methodology)

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Abstract
SUMMARY In this paper, for a degraded two-colour or binary scene, we show how the image with maximum a posteriori (MAP) probability, the MAP estimate, can be evaluated exactly using efficient variants of the Ford–Fulkerson algorithm for finding the maximum flow in a certain capacitated network. Availability of exact estimates allows an assessment of the performance of simulated annealing and of MAP estimation itself in this restricted setting. Unfortunately, the simple network flow algorithm does not extend in any obvious way to multicolour scenes. However, the results of experiments on two-colour images suggest that, in general, simulated annealing, according to practicable ‘temperature’ schedules, can produce poor approximations to the MAP estimate to which it converges.
Reference Key
openalex_W79315950 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors D. M. Greig, B. T. Porteous, Allan Seheult
Journal Journal of the Royal Statistical Society Series B (Statistical Methodology)
Year 1989
DOI
10.1111/j.2517-6161.1989.tb01764.x
URL
Keywords Keywords not found

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