## 3 Methodology
### Asteroseismology Exploratory Data Analysis (AEDA)  
The Asteroseismology Exploratory Data Analysis (AEDA) is applied to obtain valuable insights and astronomic data patterns from the asteroseismology dataset. The AEDA is based on statistical data analysis, feature correlation graphs, bar charts, density graphs, 3D plots, and scatter plots. These graphs help us analyze the fundamental properties of RGB and HeB in asteroseismology. During analysis, first, we conducted the statical data analysis on the asteroseismology features and counted the total number of instances in a dataset. The analysis demonstrates that the dataset contains 1001 instances, as analyzed in Table 4. The mean values of every feature in the data set are calculated. The mean is the average or the most common value in a data collection calculated using Equation (1). \[Mean=\{Sum\ of\ Observation\}\ \div\ \{Total\ numbers\ of\ Observations\},\]  
50% percentile, and high percentile are described in Table 4. The maximum value of all features in the data set is also calculated. The maximum value of POP is 1, Dnu is 17.69943, Numax is 239.64848, and Epsilon is 1. The mean value of Dnu Numax and Epsilon is calculated according to the target label. For the target label 0, the mean value of Dnu, Numax, and Epsilon is 9.231920, 106.477706, and 0.22722, respectively. When the target label is one, the mean value of features Dnu, Numax, and Epsilon are 4.378389, 39.038756, and 0.765701, as shown in Table 5.  
In the asteroseismology dataset, the pop column has 713 HeB classes and 288 RGB classes, as shown in Figure 2a. A histogram is plotted to show RGB and Heb frequency distribution according to epsilon features, as represented in Figure 2b. RGB has more frequency distribution between 0.1 to 0.4, and HeB has the highest bin between 0.8 and 1. The frequency distribution of HeB and the RGB is analyzed according to feature Dnu using a histogram in Figure 3a. There is more chance of HeB when the value is between two and six of Dnu. The frequency of HeB is high before 60 in the Numax feature, as shown in Figure 3b. To analyze the values of the asteroseismology data features, density graphs are implemented in the most values line plot drawn in Figure 4. The POP value is high in the leftmost corner of the first row, between 0.6 and 1.3. The frequency of occurrence of the POP value is one, as described in Figure 4. Additionally, in the rightmost corner of the first row, the Dnu plot is described. Additionally, most of the instance values are five, as represented. The density of Numax occurs between 0 and 100, as shown in the leftmost corners of the second row. The highest density of Epsilon is 5 to 12, as represented in the rightmost corners of the second row. The pair plots determine the optimal features to explain a relationship between two variables or construct the most distinct clusters. The pairs plot is based on two fundamental figures: the histogram and the scatter plot. The diagonal histogram shows the distribution of such a single variable. Still, the upper and lower triangular scatter plots indicate the relationship between the two variables, as shown in Figure 5. We have analyzed the \begin{table}
\begin{tabular}{c c c c} \hline \hline \multirow{2}{*}{**POP**} & \multicolumn{3}{c}{**Mean Values**} \\ \cline{2-4}  & **Dnu** & **Numax** & **Epsilon** \\ \hline
0 & 9.231920 & 106.477706 & 0.227222 \\
1 & 4.378389 & 39.038756 & 0.765701 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: The features mean values to group by target label POP. Figure 2: The asteroseismology feature analysis among the target category is listed as (**a**) the target class bar chart distribution analysis; (**b**) the Epsilon feature distribution analysis. relationship between two features in the leftmost plot in the third row. Through analysis of the relationship of Dnu and Epsilon in the scatter plot, the HeB happens when the value of Dnu is less than 10. There is more chance of RGB occurring when the value of Epsilon is less than 0.6.