Function Approximation on Oscillatory Function Equation 23 (test)
0.0002Error (d=1)spline KAN
Evaluation results
| Method | Links | ||||||
|---|---|---|---|---|---|---|---|
| spline KANResNet technique=equipped2026.06 | 0.0002 | 0.0453 | 0.295 | 0.2441 | 0.3101 | 0.1676 | |
| RBF-MLP-IIResNet technique=not equipped, Depth=two-layer, hidden neurons per layer=502026.06 | 0.0012 | 0.0573 | 0.7355 | 0.6859 | 0.3661 | 0.1003 | |
| hierarchical RBF-KANResNet technique=equipped, Depth=three-block2026.06 | 0.0076 | 0.012 | 0.0199 | 0.0229 | 0.0166 | 0.0329 | |
| hierarchical RBF-KANResNet technique=equipped, Depth=two-block2026.06 | 0.0247 | 0.0335 | 0.0232 | 0.0381 | 0.0525 | 0.0669 | |
| RBF-KANResNet technique=not equipped, Depth=two-layer, hidden neurons per layer=4002026.06 | 0.0283 | 0.0289 | 0.0147 | 0.0317 | 0.0252 | 0.2343 | |
| RBF-MLP-IResNet technique=not equipped, Depth=two-layer, hidden neurons per layer=502026.06 | 0.0527 | 0.3196 | 0.6291 | 0.7309 | 0.7337 | 0.515 | |
| hierarchical Tanh-KANResNet technique=equipped, Depth=three-block2026.06 | 0.0686 | 0.0847 | 0.0272 | 0.0339 | 0.0229 | 0.07 | |
| hierarchical RBF-KANResNet technique=not equipped, Depth=one-block2026.06 | 0.162 | 0.2803 | 0.389 | 0.2557 | 0.0814 | 0.23 | |
| RBF-MLP-IResNet technique=equipped, Depth=two-layer, hidden neurons per layer=502026.06 | 0.266 | 0.5544 | 0.2748 | 0.1972 | 0.2631 | 0.4052 | |
| RBF-MLP-IIResNet technique=equipped, Depth=two-layer, hidden neurons per layer=502026.06 | 0.8209 | 0.5152 | 0.5637 | 0.4811 | 0.1015 | 0.07 | |
| hierarchical RBF-KANResNet technique=not equipped, Depth=two-block2026.06 | 2.0837 | 0.2438 | 0.3829 | 1.0096 | 0.7442 | 0.4156 | |
| hierarchical RBF-KANResNet technique=equipped, Depth=one-block2026.06 | 2.0912 | 1.5653 | 0.3159 | 0.1767 | 0.0321 | 0.0246 | |
| RBF-KANResNet technique=equipped, Depth=two-layer, hidden neurons per layer=4002026.06 | 7.9113 | 5.3267 | 0.416 | 0.2021 | 0.2342 | 0.0692 | |
| hierarchical RBF-KANResNet technique=not equipped, Depth=three-block2026.06 | 9.761 | 6.6664 | 3.3935 | 1.3717 | 0.7442 | 0.4156 |