Browsing by Author "Chang, Jen-Mei, author"
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Item Open Access Classification on the Grassmannians: theory and applications(Colorado State University. Libraries, 2008) Chang, Jen-Mei, author; Kirby, Michael, advisorThis dissertation consists of four parts. It introduces a novel geometric framework for the general classification problem and presents empirical results obtained from applying the proposed method on some popular classification problems. An analysis of the robustness of the method is provided using matrix perturbation theory, which in turn motivates an optimization problem to improve the robustness of the classifier. Lastly, we illustrate the use of compressed data representations based on Karcher mean.