# A Compact Cat Swarm Optimization Algorithm Based on Small Sample Probability Model
## 4 Experimental Results and Analysis
### Comparisons for Compact Optimization Algorithms
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Function** & **rCGA** & **cDE** & **ISPO** & **cPSO** & **W** & **SSPCCSO** \\ \hline fu12 & \(5.769\times 10^{-2}\pm\) & \(2.395\times 10^{-1}\pm\) & \(\mathbf{0.001\times 10^{-1}\pm}\) & \(9.567\times 10^{-8}\pm\) & + & \(1.018\times 10^{-8}\pm\) \\  & \(1.05\times 10^{-1}\) & \(2.03\times 10^{-1}\) & \(\mathbf{0.01\times 10^{0}}\) & \(2.69\times 10^{-8}\) & & \(2.61\times 10^{-9}\) \\ fu13 & \(2.154\times 10^{2}\pm\) & \(\mathbf{1.314\times 10^{2}\pm}\) & \(2.566\times 10^{2}\pm\) & \(3.924\times 10^{1}\pm\) & & \(2.70\times 10^{2}\pm\) \\  & \(3.96\times 10^{1}\) & \(\mathbf{1.87\times 10^{1}}\) & \(4.15\times 10^{1}\) & \(2.31\times 10^{1}\) & & \(1.81\times 10^{-5}\) \\ fu14 & \(3.246\times 10^{1}\pm\) & \(\mathbf{2.988\times 10^{1}\pm}\) & \(4.777\times 10^{1}\pm\) & \(3.943\times 10^{1}\pm\) & & \(7.142\times 10^{2}\pm\) \\  & \(4.53\times 10^{0}\) & \(\mathbf{3.47\times 10^{0}}\) & \(4.34\times 10^{0}\) & \(1.15\times 10^{0}\) & & \(2.37\times 10^{-1}\) \\ fu15 & \(5.251\times 10^{0}\pm\) & \(\mathbf{2.315\times 10^{-16}\pm}\) & \(1.184\times 10^{-6}\pm\) & \(1.778\times 10^{0}\pm\) & + & \(9.427\times 10^{-3}\pm\) \\  & \(5.19\times 10^{0}\) & \(\mathbf{5.65\times 10^{-16}}\) & \(2.89\times 10^{-17}\) & \(4.27\times 10^{-1}\) & & \(6.15\times 10^{-3}\) \\ fu16 & \(\mathbf{-1.001\times 10^{2}\pm}\) & \(\mathbf{-1.001\times 10^{2}\pm}\) & \(\mathbf{-1.001\times 10^{2}\pm}\) & \(\mathbf{-1.001\times 10^{2}\pm}\) & & \(\mathbf{-1.001\times 10^{2}\pm}\) \\  & \(\mathbf{4.43\times 10^{-9}}\) & \(\mathbf{1.63\times 10^{-9}}\) & \(\mathbf{8.38\times 10^{-15}}\) & \(\mathbf{8.45\times 10^{-5}}\) & & \(\mathbf{0.00\times 10^{0}}\) \\ fu17 & \(1.452\times 10^{0}\pm\) & \(\mathbf{2.817\times 10^{-23}\pm}\) & \(9.994\times 10^{-1}\pm\) & \(1.702\times 10^{0}\pm\) & & \(9.518\times 10^{-5}\pm\) \\  & \(1.88\times 10^{0}\) & \(\mathbf{3.16\times 10^{-23}}\) & \(1.56\times 10^{0}\) & \(7.08\times 10^{-1}\) & & \(1.57\times 10^{-6}\) \\ fu18 & \(-5.485\times 10^{-1}\pm\) & \(\mathbf{-1.150\times 10^{0}\pm}\) & \(-2.258\times 10^{-1}\pm\) & \(-1.030\times 10^{0}\pm\) & & \(-4.104\times 10^{-1}\pm\) \\  & \(1.11\times 10^{0}\) & \(\mathbf{4.98\times 10^{-16}}\) & \(1.28\times 10^{0}\) & \(7.56\times 10^{-1}\) & & \(8.97\times 10^{-4}\) \\ fu19 & \(4.38\times 10^{2}\pm\) & \(2.603\times 10^{2}\pm\) & \(4.044\times 10^{2}\pm\) & \(4.403\times 10^{1}\pm\) & & \(4.500\times 10^{2}\pm\) \\  & \(4.75\times 10^{1}\) & \(3.04\times 10^{1}\) & \(4.15\times 10^{1}\) & \(\mathbf{3.44\times 10^{1}}\) & & \(2.60\times 10^{-3}\) \\ fu20 & \(-1.517\times 10^{1}\pm\) & \(-3.347\times 10^{1}\pm\) & \(-3.348\times 10^{1}\pm\) & \(-2.063\times 10^{1}\pm\) & & \(-1.988\times 10^{1}\pm\) \\  & \(2.76\times 10^{0}\) & \(1.87\times 10^{0}\) & \(\mathbf{1.64\times 10^{0}}\) & \(2.33\times 10^{0}\) & & \(2.33\times 10^{-1}\) \\ fu21 & \(8.372\times 10^{3}\pm\) & \(5.343\times 10^{3}\pm\) & \(9.679\times 10^{3}\pm\) & \(4.784\times 10^{3}\pm\) & & \(\mathbf{1.42\times 10^{0}\pm}\) \\  & \(1.62\times 10^{3}\) & \(8.47\times 10^{2}\) & \(1.09\times 10^{3}\) & \(1.09\times 10^{3}\) & & \(\mathbf{2.26\times 10^{0}}\) \\ fu22 & \(2.014\times 10^{1}\pm\) & \(1.787\times 10^{1}\pm\) & \(1.951\times 10^{1}\pm\) & \(3.899\times 10^{-1}\pm\) & + & \(\mathbf{7.139\times 10^{-2}\pm}\) \\  & \(1.48\times 10^{-1}\) & \(2.89\times 10^{-1}\) & \(7.51\times 10^{-2}\) & \(5.19\times 10^{-1}\) & + & \(\mathbf{4.17\times 10^{-2}}\) \\ fu23 & \(1.645\times 10^{2}\pm\) & \(4.042\times 10^{1}\pm\) & \(\mathbf{1.247\times 10^{-13}\pm}\) & \(4.657\times 10^{-2}\pm\) & & \(\mathbf{7.319\times 10^{-2}\pm}\) \\  & \(2.36\times 10^{1}\) & \(1.41\times 10^{1}\) & \(\mathbf{1.01\times 10^{-14}}\) & \(2.39\times 10^{-2}\) & = & \(\mathbf{5.17\times 10^{-3}}\) \\ fu24 & \(8.488\times 10^{4}\pm\) & \(2.941\times 10^{3}\) & \(\mathbf{1.252\times 10^{-30}\pm}\) & \(6.918\times 10^{-2}\pm\) & & \(8.961\times 10^{-3}\pm\) \\  & \(8.14\times 10^{3}\) & \(1.59\times 10^{3}\) & \(\mathbf{3.09\times 10^{-31}}\) & \(2.54\times 10^{-2}\) & & \(1.46\times 10^{-2}\) \\ fu25 & \(-6.349\times 10^{-3}\pm\) & \(-9.161\times 10^{-3}\pm\) & \(-4.551\times 10^{-3}\pm\) & \(-\mathbf{7.85\times 10^{-1}\pm}\) & + & \(-0.000\times 10^{0}\pm\) \\  & \(3.24\times 10^{-4}\) & \(6.27\times 10^{-4}\) & \(3.79\times 10^{-4}\) & \(\mathbf{1.60\times 10^{-14}}\) & & \(0.00\times 10^{0}\) \\ fu26 & \(-2.178\times 10^{1}\pm\) & \(-4.938\times 10^{1}\pm\) & \(-\mathbf{6.556\times 10^{1}\pm}\) & \(-2.920\times