Complexity Penalized M-Estimation

作者: F Friedrich , A Kempe , V Liebscher , G Winkler

DOI: 10.1198/106186008X285591

关键词: Mathematical optimizationEstimatorSegmentationEdge-preserving smoothingApplied mathematicsPotts modelRegularization (mathematics)ComputationSeries (mathematics)MathematicsRange (mathematics)

摘要: We present very fast algorithms for the exact computation of estimators time series, based on complexity penalized log-likelihood or M-functions. The apply to a wide range functionals with morphological constraints, in particular Potts Blake–Zisserman functionals. latter are discrete versions celebrated Mumford–Shah All such contain model parameters. Our allow optimization not only each separate parameter, but even all parameters simultaneously. This allows examination models sense family approach. accompanied by series illustrative examples from molecular biology.

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