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\contentsline {figure}{\numberline {2.1}{\ignorespaces Pseudo-code for CNN}}{7}
\contentsline {figure}{\numberline {2.2}{\ignorespaces Pseudo-code for RNN}}{8}
\contentsline {figure}{\numberline {2.3}{\ignorespaces Pseudo-code for MCS}}{10}
\contentsline {figure}{\numberline {2.4}{\ignorespaces Chang's algorithm for finding prototypes}}{11}
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\contentsline {figure}{\numberline {3.1}{\ignorespaces Pseudo code for Support Based Bayesian Ranking algorithm}}{14}
\contentsline {figure}{\numberline {3.2}{\ignorespaces A log of some golf-playing behavior}}{15}
\contentsline {figure}{\numberline {3.3}{\ignorespaces Finding the rank of $sunny$}}{16}
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\contentsline {figure}{\numberline {4.1}{\ignorespaces Data Set Characteristics}}{18}
\contentsline {figure}{\numberline {4.2}{\ignorespaces Data Set Characteristics}}{19}
\contentsline {figure}{\numberline {4.3}{\ignorespaces Choosing the best number of features for each data set. The best choice will have a high pd along with a low pf}}{20}
\contentsline {figure}{\numberline {4.4}{\ignorespaces Example of using the cosine law to find the position of $Oi$ in the dimension $k$}}{20}
\contentsline {figure}{\numberline {4.5}{\ignorespaces Projects of points $O_i$ and $O_j$ onto the hyper-plane perpendicular to the line $O_a$$O_b$}}{21}
\contentsline {figure}{\numberline {4.6}{\ignorespaces Data Set Characteristics}}{22}
\contentsline {figure}{\numberline {4.7}{\ignorespaces Pseudo code for Experiment ####1}}{24}
\contentsline {figure}{\numberline {4.8}{\ignorespaces Probability of Detection (PD) and Probability of False Alarm (PF)results -iris}}{25}
\contentsline {figure}{\numberline {4.9}{\ignorespaces Probability of Detection (PD) and Probability of False Alarm (PF)results -breastcancer}}{25}
\contentsline {figure}{\numberline {4.10}{\ignorespaces Probability of Detection (PD) and Probability of False Alarm (PF)results -mam}}{26}
\contentsline {figure}{\numberline {4.11}{\ignorespaces Probability of Detection (PD) and Probability of False Alarm (PF)results -hc}}{26}
\contentsline {figure}{\numberline {4.12}{\ignorespaces Probability of Detection (PD) and Probability of False Alarm (PF)results -hh}}{27}
\contentsline {figure}{\numberline {4.13}{\ignorespaces Probability of Detection (PD) and Probability of False Alarm (PF)results -hs}}{27}
\contentsline {figure}{\numberline {4.14}{\ignorespaces Probability of Detection (PD) and Probability of False Alarm (PF)results -hv}}{28}
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\contentsline {figure}{\numberline {5.1}{\ignorespaces Visualization of four(4) glass forensic models}}{39}
\contentsline {figure}{\numberline {5.2}{\ignorespaces Proposed procedure for the forensic evaluation of data}}{42}
\contentsline {figure}{\numberline {5.3}{\ignorespaces PCA for iris data set}}{43}
\contentsline {figure}{\numberline {5.4}{\ignorespaces Probability of detection (pd) and Probability of False alarms (pf) using fixed values for dimensions and fixed k values for k-nearest neighbor}}{46}
\contentsline {figure}{\numberline {5.5}{\ignorespaces Pseudo code for K-means}}{47}
\contentsline {figure}{\numberline {5.6}{\ignorespaces Pseudo code for Experiment 1}}{50}
\contentsline {figure}{\numberline {5.7}{\ignorespaces Results for Experiment 1 for the 4 data sets distinguished by the number of clusters. Here for the upper and lower tables n=4 is used while r=1 is used for the upper table and r=2 for the lower table.}}{51}
\contentsline {figure}{\numberline {5.8}{\ignorespaces Pseudo code for Experiment 2}}{52}
\contentsline {figure}{\numberline {5.9}{\ignorespaces Results for Experiment 2 for the 4 data sets distinguished by the number of clusters. Here for the upper and lower tables n=4 is used while r=1 is used for the upper table and r=2 for the lower table.}}{54}
\contentsline {figure}{\numberline {5.10}{\ignorespaces Position of values in the 'before' and 'after' population with data set at 3, 5, 10 and 20 clusters. The first row shows the results for r=1 while the second row shows the results for r=2}}{55}
\contentsline {figure}{\numberline {5.11}{\ignorespaces Results for Experiment 2 of before and after results. -1 indicates that the after is better than before}}{55}
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