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Stanislav Nikolov committed Aug 16, 2012
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201 changes: 198 additions & 3 deletions doc/chap5.tex
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Expand Up @@ -77,13 +77,30 @@ \section{Effect of Parameters}
zero, an increase in $p$ causes an increase in $TPR$ at the expensive of higher
$FPR$, moving up the curve.

Figure \ref{deltas} shows this effect for each parameter.
Figure \ref{fig:deltas} shows this effect for each parameter.

\begin{figure}[!h]
\begin{center}
\includegraphics[height=4in]{../fig/final/delta_hist/gamma}
\includegraphics[width=4in]{../fig/final/delta_hist/gamma}
\includegraphics[width=4in]{../fig/final/delta_hist/gamma}
\end{center}
\caption{\label{fig:roc_env2}}
\caption{\label{fig:deltas1}}
\end{figure}

\begin{figure}[!h]
\begin{center}
\includegraphics[width=4in]{../fig/final/delta_hist/cmpr_window}
\includegraphics[width=4in]{../fig/final/delta_hist/threshold}
\end{center}
\caption{\label{fig:deltas2}}
\end{figure}

\begin{figure}[!h]
\begin{center}
\includegraphics[width=4in]{../fig/final/delta_hist/w_smooth}
\includegraphics[width=4in]{../fig/final/delta_hist/req_consec_detections}
\end{center}
\caption{\label{fig:deltas3}}
\end{figure}

% TODO: Figure
Expand All @@ -99,6 +116,184 @@ \section{Effect of Parameters}
Increasing \vt{Threshold} always moves us down the curve.
Increasing \vt{ReqConsecDetections} always moves us down the curve.

\begin{figure}[!h]
\begin{center}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/gamma/cmpr_window}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/gamma/threshold}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/gamma/w_smooth}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/gamma/req_consec_detections}
\end{center}
\caption{\label{fig:delta_sec1} Secondary effects of parameters for a varying \vt{Gamma}}
\end{figure}

\begin{figure}[!h]
\begin{center}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/cmpr_window/gamma}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/cmpr_window/threshold}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/cmpr_window/w_smooth}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/cmpr_window/detection_window_hrs}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/cmpr_window/req_consec_detections}
\end{center}
\caption{\label{fig:delta_sec2} Secondary effects of parameters for a varying \vt{CmprWindow}}
\end{figure}

\begin{figure}[!h]
\begin{center}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/threshold/gamma}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/threshold/cmpr_window}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/threshold/w_smooth}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/threshold/detection_window_hrs}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/threshold/req_consec_detections}
\end{center}
\caption{\label{fig:delta_sec3} Secondary effects of parameters for a varying \vt{Threshold}}
\end{figure}

\begin{figure}[!h]
\begin{center}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/w_smooth/gamma}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/w_smooth/cmpr_window}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/w_smooth/threshold}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/w_smooth/detection_window_hrs}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/w_smooth/req_consec_detections}
\end{center}
\caption{\label{fig:delta_sec4} Secondary effects of parameters for a varying \vt{WSmooth}}
\end{figure}

\begin{figure}[!h]
\begin{center}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/detection_window_hrs/gamma}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/detection_window_hrs/cmpr_window}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/detection_window_hrs/threshold}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/detection_window_hrs/w_smooth}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/detection_window_hrs/req_consec_detections}
\end{center}
\caption{\label{fig:delta_sec5} Secondary effects of parameters for a varying \vt{DetectionWindowHrs}}
\end{figure}

\begin{figure}[!h]
\begin{center}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/gamma/cmpr_window}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/gamma/threshold}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/gamma/w_smooth}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/gamma/detection_window_hrs}
\includegraphics[height=1.5in]{../fig/final/delta_hist_sec/gamma/req_consec_detections}
\end{center}
\caption{\label{fig:delta_sec6} Secondary effects of parameters for a varying \vt{ReqConsecDetections}}
\end{figure}

% Top and bottom ROC curves
Figures that show the top and bottom ROC curves ranked by mean $\Delta_p^{FPR}$ and mean $\Delta_p^{TPR}$.

\begin{figure}[!h]
\begin{center}
\includegraphics[height=3in]{../fig/final/top_fpr/gamma}
\includegraphics[height=3in]{../fig/final/bottom_fpr/gamma}
\end{center}
\caption{\label{fig:delta_top_bottom1f} Top and bottom $\Delta_p^{FPR}$ for \vt{Gamma}}
\end{figure}


\begin{figure}[!h]
\begin{center}
\includegraphics[height=3in]{../fig/final/top_tpr/gamma}
\includegraphics[height=3in]{../fig/final/bottom_tpr/gamma}
\end{center}
\caption{\label{fig:delta_top_bottom1t} Top and bottom $\Delta_p^{TPR}$ for \vt{Gamma}}
\end{figure}




\begin{figure}[!h]
\begin{center}
\includegraphics[height=3in]{../fig/final/top_fpr/cmpr_window}
\includegraphics[height=3in]{../fig/final/bottom_fpr/cmpr_window}
\end{center}
\caption{\label{fig:delta_top_bottom2f} Top and bottom $\Delta_p^{FPR}$ for \vt{CmprWindow}}
\end{figure}

\begin{figure}[!h]
\begin{center}
\includegraphics[height=3in]{../fig/final/top_tpr/cmpr_window}
\includegraphics[height=3in]{../fig/final/bottom_tpr/cmpr_window}
\end{center}
\caption{\label{fig:delta_top_bottom2t} Top and bottom $\Delta_p^{TPR}$ for \vt{CmprWindow}}
\end{figure}



% Threshold
\begin{figure}[!h]
\begin{center}
\includegraphics[height=3in]{../fig/final/top_fpr/threshold}
\includegraphics[height=3in]{../fig/final/bottom_fpr/threshold}
\end{center}
\caption{\label{fig:delta_top_bottom3f} Top and bottom $\Delta_p^{FPR}$ for \vt{Threshold}}
\end{figure}


\begin{figure}[!h]
\begin{center}
\includegraphics[height=3in]{../fig/final/top_tpr/threshold}
\includegraphics[height=3in]{../fig/final/bottom_tpr/threshold}
\end{center}
\caption{\label{fig:delta_top_bottom3t} Top and bottom $\Delta_p^{TPR}$ for \vt{Threshold}}
\end{figure}



% WSmooth
\begin{figure}[!h]
\begin{center}
\includegraphics[height=3in]{../fig/final/top_fpr/w_smooth}
\includegraphics[height=3in]{../fig/final/bottom_fpr/w_smooth}
\end{center}
\caption{\label{fig:delta_top_bottom4f} Top and bottom $\Delta_p^{FPR}$ for \vt{WSmooth}}
\end{figure}

\begin{figure}[!h]
\begin{center}
\includegraphics[height=3in]{../fig/final/top_tpr/w_smooth}
\includegraphics[height=3in]{../fig/final/bottom_tpr/w_smooth}
\end{center}
\caption{\label{fig:delta_top_bottom4t} Top and bottom $\Delta_p^{TPR}$ for \vt{WSmooth}}
\end{figure}


% DetectionWindowHrs
\begin{figure}[!h]
\begin{center}
\includegraphics[height=3in]{../fig/final/top_fpr/detection_window_hrs}
\includegraphics[height=3in]{../fig/final/bottom_fpr/detection_window_hrs}
\end{center}
\caption{\label{fig:delta_top_bottom5f} Top and bottom $\Delta_p^{FPR}$ for \vt{DetectionWindowHrs}}
\end{figure}

\begin{figure}[!h]
\begin{center}
\includegraphics[height=3in]{../fig/final/top_tpr/detection_window_hrs}
\includegraphics[height=3in]{../fig/final/bottom_tpr/detection_window_hrs}
\end{center}
\caption{\label{fig:delta_top_bottom5t} Top and bottom $\Delta_p^{TPR}$ for \vt{DetectionWindowHrs}}
\end{figure}

% ReqConsecDetections
\begin{figure}[!h]
\begin{center}
\includegraphics[height=3in]{../fig/final/top_fpr/req_consec_detections}
\includegraphics[height=3in]{../fig/final/bottom_fpr/req_consec_detections}
\end{center}
\caption{\label{fig:delta_top_bottom6f} Top and bottom $\Delta_p^{FPR}$ for \vt{ReqConsecDetections}}
\end{figure}

\begin{figure}[!h]
\begin{center}
\includegraphics[height=3in]{../fig/final/top_tpr/req_consec_detections}
\includegraphics[height=3in]{../fig/final/bottom_tpr/req_consec_detections}
\end{center}
\caption{\label{fig:delta_top_bottom6t} Top and bottom $\Delta_p^{TPR}$ for \vt{ReqConsecDetections}}
\end{figure}

% TODO: Discuss effect on relative detection time

%TODO: Ranking of all combinations of fixed parameters based on tpr (and based
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