Dimensionality Reduction on Statistical Manifolds.

Kevin M. Carter · Deep Blue (University of Michigan) · 2009

This work could not have been possible without the support of many individuals, and I would be remiss if I did not take the opportunity to thank them. To start, I give the utmost thanks to my advisor, Professor Alfred Hero. He not only took me under his wing as a research assistant, but was a major contributor to my professional development. While his otherworldly knowledge base was critical towards my maturation as a researcher, his motivation, mentorship, and words of advice kept me going during difficult and stressful times. I would also like to thank Professor Raviv Raich, who has worked side-by-side with me throughout my entire research experience. Whenever I came upon a road block, I knew I could count on Raviv to have the patience and wherewithal to guide me through. My ability to progress so quickly throughout this process was due in large part to my amazing research project. I owe this entirely to Dr. William Finn and the Department of Pathology at the University of Michigan, who came to us with an idea and a lot of data. Dr. Finn was always available for discussion and insight into the process of flow cytometry, and throughout my development he has shown a genuine excitement for all of the work I have done. Without his knowledge, support, and enthusiasm, none of this work would have been completed. This work has also benefited from discussions with the remainder of my committee members. A special thanks goes to Professor Elizaveta Levina and Professor Clayton Scott for their input and support. Their level of expertise in many of the areas iii directly coinciding to my research topics was very beneficial, and the third-party

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