W.E. Pierson, "Using boundary methods for estimating class separability", PhD Thesis, Department of Electrical Engineering, Ohio State University, 1998. Home/Search Document Details and Download
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Multi-Resolution Estimates of Classification Complexity - Singh (Correct)
....which is equivalent to maximum likelihood maximisation of the relative abundance, distribution parameters and membership of subpopulations. Their work describes a clustering scheme based on the above principle. 6 Boundary methods The boundary method is based on the work of Pierson and colleagues [30,31,32,35,36]. The data of each class are enclosed within a boundary according to some criteria. The boundaries can be generated using ellipses, convex hulls, or splines. The boundary methods often use ellipsoidal boundaries for Gaussian data since they represent contour density contour points of the classes. ....
....error (the total sum is called overlap sum) The rate of overlap region decay provides information about the separability of classes. Pierson et al. 31] discuss the manner in which this process in two dimensions for two classes can be extended to higher dimensions with more classes. Pierson [30] has demonstrated that the measure of separability called overlap sum is directly related to Bayes error with a much cheaper computational complexity. It also has the added advantage that it does not require any knowledge of the a posteriori distributions. Correlation based approaches Rahman ....
W.E. Pierson, "Using boundary methods for estimating class separability", PhD Thesis, Department of Electrical Engineering, Ohio State University, 1998.
Estimating Classification Complexity - Singh (Correct)
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W.E. Pierson, "Using boundary methods for estimating class separability", PhD Thesis, Department of Electrical Engineering, Ohio State University, 1998.
PRISM, Cells and Hypercuboids - Singh (2002) (Correct)
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W.E. Pierson, Using boundary methods for estimating class separability, PhD Thesis, Department of Electrical Engineering, Ohio State University, 1998.
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