Optimal Threshold Estimation Using Prototype Selection
Uri Lipowezky,Victor Shenkar +1 more
TL;DR: It is shown that proposed method can be expanded to solving of a wide range of tasks, connected to the function optimization, while the function is given in vertices of a 2n single hyper - cube.
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Abstract: A technique is proposed for choosing the thresholds for a number of object detection tasks, based on a prototype selection technique. The chosen prototype subset has to be correctly classified. The positive and negative objects are introduced in order to provide the optimization via empirical risk minimization. A Boolean function and its derivatives are obtained for each object. A special technique, based on the fastest gradient descent, is proposed for the sum of Boolean functions maximization. The method is applied to the detection task of house edges, using its images in aerial photos. It is shown that proposed method can be expanded to solving of a wide range of tasks, connected to the function optimization, while the function is given in vertices of a 2n single hyper - cube.
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Citations
Patent
Methods and apparatus for using boolean derivatives to process data
Karen Panetta,Sos S. Agaian +1 more
- 27 Feb 2008
TL;DR: In this article, a method and apparatus for generating an Nth order Boolean derivative from r bit-array Qth order partial derivatives combined using fusion is presented, which can be used for multimedia applications.
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Groves decipherment from space photos using prototype matching
TL;DR: It is shown that using textural prototype matching can solve all three tasks of common groves decipherment: trees and forests detection with recognition of their textures, contour segmentation and reconstruction of forest stand parameters.
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