## 3 Optimization Algorithms
### Grasshopper Optimization Algorithm (GOA)
\begin{bmatrix}-1.00&0.50&-0.15&0.43&-0.74&0.45&1.31&1.19&0.94\end{bmatrix} \]

Biases of the last hidden layer \(= \begin{bmatrix}-1.70\end{bmatrix} \)

### Biases of the hidden layer \(= \begin{bmatrix}-1.50\end{bmatrix} \)

Weights of links between the last hidden and output layer

\[= \begin{bmatrix}-1.50&0.96&0.31&-0.19&1.10&0.84&-1.04&-0.08\end{bmatrix} \]

Weights of links between the last hidden and output layer

\[= \begin{bmatrix}-1.00&0.50&-0.15&0.43&-0.74&0.45&1.31&1.19&0.94\end{bmatrix} \]

Biases of the last hidden layer \(= \begin{bmatrix}-1.70\end{bmatrix} \)

### Biases of the hidden layer \(= \begin{bmatrix}-1.70\end{bmatrix} \)

Weights of links between input and the first hidden layer

\[= \begin{bmatrix}-0.67&-1.27&-0.76&0.42&0.12&-0.20&-0.27&-0.29&0.62\\ 1.11&-0.30&-1.36&0.06&-0.21&0.48&0.93&0.40&-0.15\\ -1.11&0.11&-0.80&0.50&0.82&-0.19&-0.45&-1.36&0.89\\ -0.71&1.12&1.35&0.18&0.28&-0.44&0.34&0.168&0.45\\ -1.45&-0.71&-0.95&-0.37&-0.14&-0.45&-0.46&-0.29&-0.45\\ 0.68&-1.47&1.36&-1.05&-0.01&-0.20&0.04&-0.27&0.98\\ -0.45&-0.71&1.04&0.48&-0.28&0.65&-0.01&0.37&-1.04\\ 1.18&1.40&0.03&-1.73&-0.15&-0.50&-1.52&-0.10&0.31\\ 0.27&1.04&0.42&-0.48&0.42&-1.58&1.07&-0.24&0.21\\ 1.07&0.35&-0.83&-0.50&0.20&0.48&-0.19&0.22&-0.97\\ 0.77&-0.49&-0.61&-0.74&-0.477&0.14&1.23&0.68&-0.39\end{bmatrix} \]

Biases of the input layer \(= \begin{bmatrix}0.48&-0.92&0.22&0.34&-0.78&0.93&-0.52&-1.03&-0.55&-0.86&0.79 \end{bmatrix} \)Weights of links between the first and the last hidden layer

\[= \begin{bmatrix}0.24&0.66&1.06&-0.94&1.44&-1.10&0.71&-0.02&-0.78&-0.83&-0.14\\ 0.96&1.16&-0.54&-0.73&0.81&1.35&-1.14&1.44&-1.24&0.32&-0.66\\ -0.03&-0.74&-0.58&-0.68&-0.41&-0.24&-0.31&-0.79&-0.71&-0.19&-0.07\\ -0.13&-0.67&0.22&0.19&0.81&1.02&1.33&-0.36&-1.29&0.34&-1.04\\ -1.01&0.56&0.79&-0.57&-0.60&-0.50&-0.61&0.62&-0.97&-1.15&-0.98\\ -0.70&0.52&-0.83&-0.59&-0.46&0.49&-0.25&1.08&-0.82&0.50&-0.82\\ -0.65&-0.04&0.04&0.74&-0.54&-1.26&-0.11&0.07&0.08&0.70&-1.10\\ -0.41&-0.46&-0.82&-1.19&-0.26&0.84&0.89&0.25&-0.04&-0.56&0.54\\ -0.42&1.38&-0.23&0.73&0.26&-0.85&-0.28&0.83&0.50&0.73&-0.96\\ -0.81&-0.11&-0.02&0.05&0.13&0.25&0.76&0.88&-0.10&-0.33&-0.30\\ 0.50&0.09&0.21&-1.47&-0.51&-0.95&-0.41&-0.76&-0.61&-0.28&-0.48\\ \end{bmatrix} \]

Biases of the first hidden layer

\[= \begin{bmatrix}0.55&0.45&-0.69&-0.34&-0.26&-0.65&0.68&0.81&-0.31&0.94&-0.34 \\ \end{bmatrix} \]

Weights of links between the last hidden and output layer

\[= \begin{bmatrix}-1.39&-0.28&0.88&-0.06&0.06&-0.26&-0.46&-0.41&0.11&-0.85&-0.09 \\ \end{bmatrix} \]

Biases of the last hidden layer

_Appendix A.4. Calculated Coefficient of the MP5 Tree Model_

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