
\newcommand{\nestednine}{
\footnotesize
%\small
\begin{tabular}{|l|l|l|l|l|l|l|l|}  
%\multicolumn{7}{l}{Outlier-SVM: Linear kernel, binary representation, dimension 10} \\
\multicolumn{7}{l}{ Linear kernel} \\
\hline 
& \multicolumn{1}{c|}{3} &\multicolumn{1}{c|}{4}  &\multicolumn{1}{c|}{5}
& \multicolumn{1}{c|}{6} & \multicolumn{1}{c|}{7} 
& \multicolumn{1}{c|}{Optimal}\\
{\bf } &$F_1$  &$F_1$  &$F_1$ &$F_1$ &$F_1$ &$F_1$  \\ \hline \hline
Earn   &0.689  &0.750  &0.712 &0.586 &0.446  &0.750           \\ 
Acq    &0.488  &0.504  &0.450 &0.323 &0.195  &0.504           \\ 
Money  &0.492  &0.563  &0.508 &0.425 &0.292  &0.563          \\
Grain  &0.444  &0.523  &0.481 &0.283 &0.133  &0.523          \\
Crude  &0.199  &0.359  &0.474 &0.371 &0.275  &0.474          \\ 
Trade  &0.352  &0.423  &0.348 &0.346 &0.313  &0.423          \\ 
Int    &0.308  &0.455  &0.465 &0.422 &0.298  &0.465           \\
Ship   &0.402  &0.287  &0.265 &0.142 &0.040  &0.402          \\
Wheat  &0.271  &0.389  &0.265 &0.188 &0.162  &0.389          \\
Corn   &0.228  &0.332  &0.306 &0.356 &0.185  &0.356         \\\hline
Average &0.387 &0.458  &0.427 &0.344 &0.233  &0.484                      \\
\hline
\end{tabular}

}



%\end{document}

\newcommand{\nestedten}{
\footnotesize
%\small
\begin{tabular}{|l|l|l|l|l|l|l||l|l|l|}  
%\multicolumn{7}{l}{Outlier-SVM: Poly. kernel, binary representation, dimension 10} \\
\multicolumn{7}{l}{Polynomial kernel} \\
\hline 
& \multicolumn{1}{c|}{3} &\multicolumn{1}{c|}{4}  &\multicolumn{1}{c|}{5}
& \multicolumn{1}{c|}{6} & \multicolumn{1}{c|}{7} 
& \multicolumn{1}{c|}{Optimal}\\
{\bf } &$F_1$  &$F_1$  &$F_1$ &$F_1$ &$F_1$ &$F_1$        \\ \hline \hline
Earn   &0.718  &0.784  &0.705 &0.584 &0.445  &0.784           \\ 
Acq    &0.319  &0.484  &0.414 &0.283 &0.088  &0.484           \\ 
Money  &0.111  &0.522  &0.448 &0.397 &0.221  &0.522          \\
Grain  &0.093  &0.468  &0.270 &0.152 &0.042  &0.468          \\
Crude  &0.091  &0.540  &0.540 &0.338 &0.271  &0.540          \\ 
Trade  &0.078  &0.078  &0.451 &0.327 &0.273  &0.451          \\ 
Int    &0.073  &0.346  &0.480 &0.354 &0.096  &0.480           \\
Ship   &0.115  &0.078  &0.020 &0.000 &0.000  &0.115          \\
Wheat  &0.036  &0.036  &0.192 &0.168 &0.125  &0.192          \\
Corn   &0.037  &0.037  &0.325 &0.294 &0.157  &0.325         \\\hline
Average &0.167 &0.337  &0.384 &0.289 &0.171  &0.436                        \\
\hline

\end{tabular}



}


\newcommand{\nestedeleven}{
\footnotesize
%\small
\begin{tabular}{|l|l|l|l|l|l|l|}  
%\multicolumn{7}{l}{Outlier-SVM: Radial kernel, binary representation, dimension 10} \\
\multicolumn{7}{l}{Radial kernel} \\
\hline 
& \multicolumn{1}{c|}{3} &\multicolumn{1}{c|}{4}  &\multicolumn{1}{c|}{5}
& \multicolumn{1}{c|}{6} & \multicolumn{1}{c|}{7} 
& \multicolumn{1}{c|}{Optimal}\\
{\bf } &$F_1$  &$F_1$  &$F_1$ &$F_1$ &$F_1$ &$F_1$        \\ \hline \hline
Earn   &0.688  &0.751  &0.712 &0.586 &0.440  &0.751           \\ 
Acq    &0.488  &0.503  &0.449 &0.304 &0.117  &0.503           \\ 
Money  &0.462  &0.578  &0.538 &0.437 &0.269  &0.578          \\
Grain  &0.502  &0.574  &0.460 &0.228 &0.025  &0.574          \\
Crude  &0.128  &0.357  &0.541 &0.376 &0.237  &0.541          \\ 
Trade  &0.352  &0.429  &0.380 &0.275 &0.278  &0.429          \\ 
Int    &0.253  &0.441  &0.457 &0.365 &0.092  &0.457           \\
Ship   &0.327  &0.333  &0.142 &0.040 &0.000  &0.333          \\
Wheat  &0.036  &0.271  &0.253 &0.230 &0.218  &0.271          \\
Corn   &0.142  &0.315  &0.351 &0.357 &0.215  &0.357         \\ \hline
Average &0.337 &0.455  &0.428 &0.319 &0.189  &0.479                      \\
\hline
\end{tabular}

}




\newcommand{\nestedtwelve}{
\footnotesize
%\small
\begin{tabular}{|l|l|l|l|l|l|l||l|l|l|}  
%\multicolumn{7}{l}{Outlier-SVM: Sigmoid kernel, binary representation, dimension10} \\
\multicolumn{7}{l}{Sigmoid kernel} \\

\hline 
& \multicolumn{1}{c|}{3} &\multicolumn{1}{c|}{4}  &\multicolumn{1}{c|}{5}
& \multicolumn{1}{c|}{6} & \multicolumn{1}{c|}{7} 
& \multicolumn{1}{c|}{Optimal}\\
{\bf } &$F_1$  &$F_1$  &$F_1$ &$F_1$ &$F_1$ &$F_1$        \\ \hline \hline
Earn   &0.668  &0.756  &0.723 &0.581 &0.431  &0.756           \\ 
Acq    &0.439  &0.475  &0.443 &0.298 &0.071  &0.475           \\ 
Money  &0.468  &0.535  &0.525 &0.431 &0.038  &0.535          \\
Grain  &0.429  &0.547  &0.448 &0.155 &0.000  &0.547          \\
Crude  &0.124  &0.382  &0.494 &0.372 &0.257  &0.494          \\ 
Trade  &0.362  &0.449  &0.377 &0.268 &0.292  &0.449          \\ 
Int    &0.190  &0.397  &0.472 &0.291 &0.000  &0.472           \\
Ship   &0.333  &0.327  &0.050 &0.000 &0.000  &0.333          \\
Wheat  &0.036  &0.261  &0.221 &0.213 &0.129  &0.261          \\
Corn   &0.037  &0.337  &0.344 &0.313 &0.177  &0.344         \\\hline
Average &0.308 &0.446  &0.409 &0.292 &0.139  &0.466                      \\
\hline

\end{tabular}


}

\begin{table}
\caption{$F_1$ Values for the Outlier-SVM with different kernels.
All with binary representation and vector dimension 10. The number in the first row indicates the number of non-zero feature
 entries which is required to consider an object an outlier.}
\label{Outlier-SVM-Different-Kernels}
\begin{tabular} {c  c}
\hspace*{-2cm}
\nestednine & \nestedten \\
\\
\hspace*{-2cm}
\nestedeleven & \nestedtwelve  \\

\end{tabular}
\end{table}
