## 4 Experiments
### Image Classification
\begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multirow{2}{*}{\(r\)} & \multirow{2}{*}{**All Dim.**} & \multicolumn{8}{c}{**AMCR (Avg. Dim.) [AMF1-Score]**} \\ \cline{3-10}  & & **PCA** & **HQ-PCA** & **\(I_{1}\)-PCA** & **RPCA** & **OM-RPCA** & **AM-PCA** & **TC-PCA** \\ \hline \multirow{4}{*}{**1**} & \multirow{4}{*}{**Overall**} & **1.000** & 0.97 & 0.985 & 0.995 & 0.98 & 0.95 & 0.995 & **1.000** \\  & & ( –) & (2.7) & (4.1) & (5.5) & (5.5) & (6.4) & (2.3) & (3.6) \\  & & **[1.000]** & [0.973] & [0.985] & [0.995] & [0.984] & [0.956] & [0.996] & [1.000] \\ \cline{2-10}  & \multirow{4}{*}{Non-standard} & **1.000** & 0.94 & 0.97 & 0.99 & 0.96 & 0.9 & 0.99 & **1.000** \\  & & **[1.000]** & [0.962] & **[1.000]** & **[1.000]** & **[0.964]** & [0.93] & [0.99] & **[1.000]** \\ \cline{2-10}  & \multirow{4}{*}{**Non-standard**} & **1.000** & **1.000** & **1.000** & **1.000** & **1.000** & **1.000** & **1.000** & **1.000** \\  & & **[1.000]** & [1.000] & **[1.000]** & **[1.000]** & **[1.000]** & **[1.000]** & **[1.000]** & **[1.000]** \\ \hline \multirow{4}{*}{**2**} & \multirow{4}{*}{**Overall**} & **1.000** & 0.98 & 0.983 & 0.987 & 0.967 & 0.99 & 0.987 & **1.000** \\  & & ( –) & (3.8) & (2.5) & (4.4) & (4.5) & (3.9) & (4.4) & **1.000** (2.9) \\  & & **[1.000]** & [0.98] & [0.983] & [0.988] & [0.969] & [0.99] & [0.988] & **[1.000]** \\ \hline \multirow{4}{*}{**3**} & \multirow{4}{*}{**Non-standard**} & **1.000** & 0.94 & 0.95 & 0.96 & 0.9 & 0.97 & 0.96 & **1.000** \\  & & **[1.000]** & [0.951] & [0.942] & [0.963] & [0.891] & [0.971] & [0.959] & **[1.000]** \\ \cline{2-10}  & \multirow{4}{*}{**Standard**} & **1.000** & **1.000** & **1.000** & **1.000** & **1.000** & **1.000** & **1.000** & **1.000** \\  & & **[1.000]** & **[1.000]** & **[1.000]** & **[1.000]** & **[1.000]** & **[1.000]** & **[1.000]** & **[1.000]** \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Comparative Classification Performance for Coil. \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multirow{2}{*}{\(r\)} & \multirow{2}{*}{**All Dim. **} & \multicolumn{8}{c}{**AMCR (Avg. Dim.) [AMF1-Score]**} \\ \cline{3-10}  & & **PCA** & **HQ-PCA** & **\(I_{1}\)-PCA** & **RPCA** & **OM-RPCA** & **AM-PCA** & **TC-PCA** \\ \hline \multirow{4}{*}{**1**} & \multirow{4}{*}{Overall**} & 0.472 & 0.444 & 0.444 & 0.452 & 0.440 & 0.448 & 0.444 & **0.512** \\  & & ( –) & (30.90) & (37.60) & (34.80) & (39.30) & (30.30) & (26.90) & **(36.30)** \\  & & [0.494] & [0.467] & [0.469] & [0.473] & [0.462] & [0.475] & [0.468] & **[0.531]** \\ \cline{2-10}  & \multirow{4}{*}{Non-standard} & 0.14 & 0.093 & 0.093 & 0.107 & 0.087 & 0.100 & 0.093 & **0.200** \\  & & [0.136] & [0.086] & [0.077] & [0.099] & [0.077] & [0.09] & [0.087] & **[0.191]** \\ \cline{2-10}  & \multirow{4}{*}{Standard} & 0.97 & 0.970 & 0.970 & 0.970 & 0.970 & 0.970 & 0.970 & 0.980 \\  & & [0.96] & [0.96] & [0.96] & [0.96] & [0.96] & [0.96] & [0.96] & **[0.973]** \\ \hline \multirow{4}{*}{**2**} & \multirow{4}{*}{**Overall**} & 0.617 & 0.594 & 0.609 & 0.589 & 0.606 & 0.594 & 0.600 & **0.629** \\  & & ( –) & (20.90) & (30.60) & (16.30) & (36.50) & (14.90) & (24.70) & **(20.70)** \\  & & [0.633] & [0.61] & [0.632] & [0.603] & [0.623] & [0.61]