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Near-Optimal Detection of Geometric Objects by Fast Multiscale Methods
Fast Multiscale Methods Geometric Objects
2015/8/21
We construct detectors for ‘geometric’ objects in noisy data. Examples include a detector
for presence of a line segment of unknown length, position, and orientation in two-dimensional
image data wi...
Multiscale Methods for Shape Constraints in Deconvolution
Brownian motion convexity differential inequalities ill-posed problems mode detection monotonicity multiscale statistics
2011/8/29
Abstract: We derive multiscale statistics for deconvolution in order to detect qualitative features of the unknown density. An important example covered within this framework is to test for local mono...