# Improving Prostate Image Segmentation Based on Equilibrium Optimizer and Cross-Entropy
## 5 Experiments
### Results from Magnetic Resonance Prostate Images
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c c c} \hline \hline  & \multicolumn{3}{c}{**SFO**} & \multicolumn{3}{c}{**SCA**} & \multicolumn{3}{c}{**PSO**} & \multicolumn{3}{c}{EO} & \multicolumn{3}{c}{DE} & \multicolumn{3}{c}{GA} & \multicolumn{3}{c}{HS} \\ \cline{2-13} \multirow{3}{*}{Walk Bridge} & \(\mathbf{nt}\) & **Mean** & **Std** & **Mean** & **Std** & **Mean** & **Std** & **Mean** & **Std** & **Mean** & **Std** & **Mean** & **Std** & **Mean** & **Std** \\  & 2 & 4590 & 0.01534 & 2.4430 & 0.00000 & 2.6081 & 0.15354 & **2.4430** & 0.00000 & 2.4995 & 0.20120 & 2.4435 & 0.00148 & 2.4920 & 0.08550 \\  & 3 & 1.6342 & 0.09068 & 1.4715 & 0.00159 & 1.7945 & 0.27172 & **1.4698** & 0.00000 & 1.5050 & 0.03612 & 1.4701 & 0.00056 & 1.5317 & 0.10586 \\  & 4 & 1.1647 & 0.07638 & 1.0233 & 0.05056 & 1.3004 & 0.12764 & **1.0145** & 0.00002 & 1.1007 & 0.06774 & 1.0169 & 0.02042 & 1.0661 & 0.05113 \\  & 5 & 0.9076 & 0.09779 & 0.7558 & 0.02761 & 0.9680 & 0.06440 & 0.7285 & 0.00182 & 0.04121 & 0.06239 & 0.70302 & 0.00332 & 0.7871 & 0.05709 \\  & 8 & 0.4764 & 0.0696 & 0.4499 & 0.04801 & 0.9293 & 0.09927 & **0.3327** & 0.00176 & 0.4668 & 0.04121 & 0.3458 & 0.00799 & 0.4318 & 0.05728 \\  & 16 & 0.1683 & 0.02217 & 0.1897 & 0.02285 & 0.2070 & 0.03383 & **0.0925** & 0.00675 & 0.1726 & 0.01663 & 0.0934 & 0.00375 & 0.1568 & 0.02784 \\  & 32 & 0.0517 & 0.00773 & 0.0641 & 0.00747 & 0.0684 & 0.00880 & **0.0254** & 0.00170 & 0.0600 & 0.00861 & 0.0233 & 0.00077 & 0.0499 & 0.00617 \\ \hline  & \multicolumn{3}{c}{**SFO**} & \multicolumn{3}{c}{**SCA**} & \multicolumn{3}{c}{**PSO**} & \multicolumn{3}{c}{EO} & \multicolumn{3}{c}{DE} & \multicolumn{3}{c}{GA} & \multicolumn{3}{c}{**HS} \\ \cline{2-13} \multirow{3}{*}{**Butterfly**} & \(\mathbf{nt}\) & **Mean** & **Std** & **Mean** & **Std** & **Mean** & **Std** & **Mean** & **Std** & **Mean** & **Std** & **Mean** & **Std** \\  & 2 & 1.8795 & 0.01958 & 1.7252 & 0.00000 & 1.4027 & 0.22217 & **1.1752** & 0.00000 & 1.7714 & 0.0146 & 1.1755 & 0.00055 & 1.2016 & 0.03019 \\  & 3 & 0.7805 & 0.12572 & 0.6259 & 0.00272 & 0.08734 & 0.12146 & **0.6228** & 0.00000 & 1.0249 & 0.00751 & 0.0429 & 0.00234 & 0.0684 & 0.08020 \\  & 4 & 0.5489 & 0.08162 & **0.4347** & 0.05196 & 0.6900 & 0.13235 & **0.4116** & 0.00000 & 0.72385 & 0.05561 & 0.4213 & 0.0742 & 0.4746 & 0.05711 \\  & 5 & 0.4154 & 0.06613 & 0.3588 & 0.04880 & 0.5441 & 0.13045 & **0.3017** & 0.00000 & 0.5722 & 0.07480 & 0.3160 & 0.0768 & 0.3723 & 0.06380 \\  & 8 & 0.2535 & 0.02965 & 0.2270 & 0.02708 & 0.3345 & 0.07006 & **0.1417** & 0.00616 & 0.3284 & 0.0402 & 0.1658 & 0.01194 & 0.2299 & 0.04721 \\  & 16 & 0.1014 & 0.01485 & 0.1212 & 0.01172 & 0.1322 & 0.02140 & 0.05152 & 0.00517 & 0.1339 & 0.01636 & 0.0621 & 0.00213 & 0.00313 & 0.00154 \\  & 32 & 0.0347 & 0.0723 & 0.0421 & 0.0549 & 0.0530 & 0.05081 & **0.0160** & 0.00169 & 0.0485 & 0.00518 & 0.0199 & 0.00110 & 0.0403 & 0.00382 \\ \hline  & \multicolumn{3}{c}{**SFO**} & \multicolumn{3}{c}{**SCA**} & \multicolumn{3}{c}{**PSO**} & \multicolumn{3}{c}{EO} & \multicolumn{3}{c}{DE} & \multicolumn{3}{c}{GA} \\ \cline{2-13} \multirow{3}{*}{**Lake**} & \(\mathbf{nt}\) & **Mean** & **Std** & **Mean** & **Std** & **Mean** & **Std** & **Mean** & **Std** & **Mean** & **Std** & **Mean** & **Std** \\  & 2 & 1.4479 & 0.01300 & 1.4383 & 0.00011 & 1.6250 & 0.13768 & **1.4382** & 0.00000 & 1.5008 & 0.02428 & 1.4386 & 0.00069 & 1.4863 & 0.10538 \\  & 3 & 1.0189 & 0.03851 & 0.96441 & 0.00138 & 0.9955 & 0.00187 & **0.9625** & 0.00000 & 1.0782 & 0.02969 & 0.9628 & 0.0037 & 0.9916 & 0.04040 \\  & 4 & 0.7319 & 0.06024 & 0.6416 & 0.00687 & 0.8416 & 0.1099 & **0.6313** & **0.0003** & 0.7722