\contentsline {chapter}{\numberline {1}Introduction}{1} \contentsline {section}{\numberline {1.1}Statement of Thesis}{1} \contentsline {section}{\numberline {1.2}Contributions of this Thesis}{2} \contentsline {section}{\numberline {1.3}Structure of this Thesis}{2} \contentsline {chapter}{\numberline {2}Background and Related Work}{3} \contentsline {section}{\numberline {2.1}Dimension Reduction}{3} \contentsline {subsection}{\numberline {2.1.1}Principal Component Analysis}{3} \contentsline {subsection}{\numberline {2.1.2}FastMap}{3} \contentsline {section}{\numberline {2.2}Prototype Learning}{4} \contentsline {subsection}{\numberline {2.2.1}Chang}{4} \contentsline {subsection}{\numberline {2.2.2}Minimal Consistent Set}{4} \contentsline {section}{\numberline {2.3}Glass Forensic Models}{4} \contentsline {subsection}{\numberline {2.3.1}Seheult 1978}{6} \contentsline {subsection}{\numberline {2.3.2}Grove 1980}{6} \contentsline {subsection}{\numberline {2.3.3}Evett 1995}{6} \contentsline {subsection}{\numberline {2.3.4}Walsh 1996}{7} \contentsline {section}{\numberline {2.4}Visualization of Brittleness in Models}{8} \contentsline {chapter}{\numberline {3}CLIFF}{9} \contentsline {section}{\numberline {3.1}Introduction}{9} \contentsline {section}{\numberline {3.2}Dimensionality Reduction}{9} \contentsline {section}{\numberline {3.3}Clustering}{9} \contentsline {section}{\numberline {3.4}Classification with KNN}{9} \contentsline {section}{\numberline {3.5}The Brittleness Measure}{10} \contentsline {section}{\numberline {3.6}The CLIFF Selector}{10} \contentsline {chapter}{\numberline {4}CLIFF Assessment}{13} \contentsline {section}{\numberline {4.1}Data Set and Experimental Method}{13} \contentsline {section}{\numberline {4.2}Experiment 1: KNN as a forensic model?}{13} \contentsline {subsection}{\numberline {4.2.1}Results from Experiment 1}{13} \contentsline {section}{\numberline {4.3}Experiment 2: Can brittleness be reduced?}{13} \contentsline {subsection}{\numberline {4.3.1}Results from Experiment 2}{13} \contentsline {chapter}{\numberline {5}Conclusion}{15}