# Cosine-Based Embedding for Completing Lightweight Schematic Knowledge in DL-Lite\({}_{core}\)+
## 5 Experiments and Results
### The Results of Link Prediction
\begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multicolumn{1}{c}{} & \multicolumn{6}{c}{**YAGO-On**} & \multicolumn{6}{c}{**FMA**} \\ \hline \multirow{2}{*}{**Metric**} & \multicolumn{2}{c}{**MRR**} & \multicolumn{2}{c}{**Hits@N(\%)**} & \multicolumn{2}{c}{**MRR**} & \multicolumn{2}{c}{**Hits@N(\%)**} & \multirow{2}{*}{} \\  & **Raw** & **Filter** & **10** & **3** & **1** & **Raw** & **Filter** & **10** & **3** & **1** \\ \hline TransE [13] & 0.375 \({}^{\dagger}\) & 0.375 \({}^{\dagger}\) & 0.722 \({}^{\dagger}\) & **0.472 \({}^{\dagger}\)** & 0.179 \({}^{\dagger}\) & 0.113 \({}^{\dagger}\) & 0.113 \({}^{\dagger}\) & 0.260 \({}^{\dagger}\) & 0.110 \({}^{\dagger}\) & 0.035 \({}^{\dagger}\) \\ TransH [14] & 0.377 \({}^{\dagger}\) & 0.377 \({}^{\dagger}\) & 0.494 \({}^{\dagger}\) & 0.179 \({}^{\dagger}\) & 0.179 \({}^{\dagger}\) & 0.110 \({}^{\dagger}\) & 0.110 \({}^{\dagger}\) & **0.295 \({}^{\dagger}\)** & 0.080 \({}^{\dagger}\) & 0.040 \({}^{\dagger}\) \\ TransR [15] & 0.063 \({}^{\dagger}\) & 0.063 \({}^{\dagger}\) & 0.216 \({}^{\dagger}\) & 0.020 \({}^{\dagger}\) & 0.000 \({}^{\dagger}\) & 0.010 \({}^{\dagger}\) & 0.010 \({}^{\dagger}\) & 0.050 \({}^{\dagger}\) & 0.050 \({}^{\dagger}\) & 0.050 \({}^{\dagger}\) & 0.050 \({}^{\dagger}\) \\ TransD [28] & 0.011 \({}^{\dagger}\) & 0.011 \({}^{\dagger}\) & 0.018 \({}^{\dagger}\) & 0.008 \({}^{\dagger}\) & 0.000 \({}^{\dagger}\) & 0.050 \({}^{\dagger}\) & 0.050 \({}^{\dagger}\) & 0.050 \({}^{\dagger}\) & 0.000 \({}^{\dagger}\) & 0.000 \({}^{\dagger}\) \\ RESCAL [16] & 0.069 \({}^{\dagger}\) & 0.069 \({}^{\dagger}\) & 0.143 \({}^{\dagger}\) & 0.073 \({}^{\dagger}\) & 0.035 \({}^{\dagger}\) & 0.009 \({}^{\dagger}\) & 0.009 \({}^{\dagger}\) & 0.010 \({}^{\dagger}\) & 0.005 \({}^{\dagger}\) & 0.005 \({}^{\dagger}\) \\ HolE [18] & 0.225 & 0.225 & 0.434 & 0.229 & 0.126 & 0.002 & 0.002 & 0.000 & 0.000 & 0.000 \\ ComplEx [19] & 0.001 \({}^{\dagger}\) & 0.003 \({}^{\dagger}\) & 0.002 \({}^{\dagger}\) & 0.001 \({}^{\dagger}\) & 0.001 \({}^{\dagger}\) & 0.003 \({}^{\dagger}\) & 0.003 \({}^{\dagger}\) & 0.010 \({}^{\dagger}\) & 0.000 \({}^{\dagger}\) & 0.000 \({}^{\dagger}\) \\ Analogy [47] & 0.003 \({}^{\dagger}\) & 0.003 \({}^{\dagger}\) & 0.035 \({}^{\dagger}\) & 0.003 \({}^{\dagger}\) & 0.003 \({}^{\dagger}\) & 0.050 \({}^{\dagger}\) & 0.050 \({}^{\dagger}\) & 0.050 \({}^{\dagger}\) & 0.050 \({}^{\dagger}\) & 0.050 \({}^{\dagger}\) \\ RotatE [23] & 0.001 & 0.001 & 0.000 & 0.000 & 0.000 & 0.002 & 0.002 & 0.002 & 0.000 & 0.000 \\ EL Embedding [24] & 0.001 & 0.001 & 0.000 & 0.000 & 0.000 & 0.000 & 0.001 & 0.001 & 0.000 & 0.000 & 0.000 \\ \hline \multicolumn{1}{c}{\(\text{CoE}^{-}\)} & 0.393 & 0.393 & 0.724 & 0.471 & **0.226** & 0.128 & 0.128 & **0.295** & **0.165** & 0.030 \\ CosE & **0.397** & **0.397** & **0.726** & 0.458 & 0.240 & **0.145** & **0.145** & 0.290 & 0.140 & **0.065** \\ \hline \hline \end{tabular}
\end{table} 
Table 4: The results of YAGO-On and FMA on link prediction about \(subclassOf\) axioms. \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multicolumn{1}{c}{} & \multicolumn{6}{c}{**FoodOn**} & \multicolumn{6}{c}{**HeLiS**} \\ \hline \multirow{2}{*}{**Metric**} & \multicolumn{2}{c}{**MRR**} & \multicolumn{2}{c}{**Hits@N(\%)**} & \multicolumn{2}{c}{**MRR**} & \multicolumn{2}{c}{**Hits@N(\%)**} & \multirow{2}{*}{} \\  & **Raw** & **Filter** & **10** & **3** & **1** & **Raw** & **Filter** & **10** & **3** & **1** \\ \hline TransE [13] & 0.015 & 0.015 & 0.024 & 0.014 & 0.009 & 0.072 & 0.072 & 0.154 & 0.052 & 0.019 \\ TransH [14] & 0.011 & 0.014 & 0.025 & 0.015 & 0.006 & 0.050 & 0.050 & 0.097 & 0.037 & 0.012 \\ TransR [15] & 0.011 & 0.011 & 0.017 & 0.010 & 0.006 & 0.050 & 0.050 & 0.111 & 0.032 & 0.008 \\ TransD [28], & 0.001 & 0.001 & 0.001 & 0.000 & 0.000 & 0.016 & 0.016 & 0.035 & 0.011 & 0.000 \\ RESCAL [16] & 0.001 & 0.001 & 0.001 & 0.001 & 0.000 & 0.000 & 0.005 & 0.005 & 0.007 & 0.005 & 0.003 \\ HolE [18] & 0.004 & 0.004 & 0.013 & 0.002 & 0.000 & 0.070 & 0.0