Table 8 Comparison of models performance through fivefold cross validation considering 6 features (FV, SF, FL, FA, w/b, and a0).
Model | Fold | R2 | Score | RMSE (mm) | Score | VAF (%) | Score | Ranking score |
|---|---|---|---|---|---|---|---|---|
DTR | 1 | 0.601 | 1 | 0.153 | 1 | 0.603 | 1 | 15 |
2 | 0.623 | 1 | 0.155 | 1 | 0.627 | 1 | ||
3 | 0.581 | 1 | 0.148 | 1 | 0.590 | 1 | ||
4 | 0.732 | 1 | 0.115 | 1 | 0.741 | 1 | ||
5 | 0.558 | 1 | 0.136 | 1 | 0.558 | 1 | ||
SVR | 1 | 0.822 | 7 | 0.102 | 7 | 0.822 | 7 | 95 |
2 | 0.791 | 6 | 0.115 | 6 | 0.791 | 6 | ||
3 | 0.815 | 6 | 0.098 | 6 | 0.817 | 6 | ||
4 | 0.847 | 6 | 0.087 | 6 | 0.848 | 7 | ||
5 | 0.814 | 6 | 0.088 | 6 | 0.816 | 7 | ||
NuSVR | 1 | 0.828 | 8 | 0.100 | 8 | 0.828 | 8 | 109 |
2 | 0.795 | 7 | 0.113 | 7 | 0.796 | 7 | ||
3 | 0.819 | 7 | 0.097 | 7 | 0.821 | 7 | ||
4 | 0.857 | 8 | 0.083 | 8 | 0.857 | 8 | ||
5 | 0.814 | 6 | 0.087 | 7 | 0.815 | 6 | ||
GPR | 1 | 0.821 | 6 | 0.103 | 6 | 0.821 | 6 | 108 |
2 | 0.799 | 8 | 0.113 | 7 | 0.799 | 8 | ||
3 | 0.824 | 8 | 0.096 | 8 | 0.825 | 8 | ||
4 | 0.855 | 7 | 0.085 | 7 | 0.856 | 6 | ||
5 | 0.825 | 7 | 0.085 | 8 | 0.826 | 8 | ||
XGBoost | 1 | 0.705 | 2 | 0.132 | 2 | 0.706 | 2 | 30 |
2 | 0.659 | 2 | 0.147 | 2 | 0.661 | 2 | ||
3 | 0.726 | 2 | 0.120 | 2 | 0.726 | 2 | ||
4 | 0.731 | 2 | 0.115 | 2 | 0.731 | 2 | ||
5 | 0.682 | 2 | 0.115 | 2 | 0.683 | 2 | ||
RFR | 1 | 0.773 | 5 | 0.116 | 5 | 0.774 | 5 | 66 |
2 | 0.750 | 4 | 0.126 | 4 | 0.751 | 4 | ||
3 | 0.782 | 4 | 0.107 | 4 | 0.784 | 4 | ||
4 | 0.830 | 5 | 0.092 | 4 | 0.830 | 5 | ||
5 | 0.796 | 5 | 0.092 | 5 | 0.797 | 5 | ||
GBR | 1 | 0.764 | 4 | 0.118 | 4 | 0.765 | 4 | 51 |
2 | 0.747 | 3 | 0.127 | 3 | 0.749 | 3 | ||
3 | 0.745 | 3 | 0.116 | 3 | 0.751 | 3 | ||
4 | 0.791 | 3 | 0.101 | 3 | 0.792 | 3 | ||
5 | 0.754 | 4 | 0.101 | 4 | 0.755 | 3 | ||
ANN | 1 | 0.723 | 3 | 0.128 | 3 | 0.733 | 3 | 63 |
2 | 0.764 | 5 | 0.122 | 5 | 0.778 | 5 | ||
3 | 0.812 | 5 | 0.099 | 5 | 0.819 | 5 | ||
4 | 0.822 | 4 | 0.094 | 5 | 0.823 | 4 | ||
5 | 0.731 | 3 | 0.106 | 3 | 0.786 | 4 | ||
TabPFN | 1 | 0.918 | 9 | 0.072 | 9 | 0.918 | 9 | 133 |
2 | 0.910 | 9 | 0.076 | 8 | 0.910 | 9 | ||
3 | 0.923 | 9 | 0.069 | 9 | 0.919 | 9 | ||
4 | 0.942 | 9 | 0.058 | 9 | 0.959 | 9 | ||
5 | 0.925 | 8 | 0.067 | 9 | 0.923 | 9 |