Function Approximation on F2
0MSEJacobi-rKAN
Evaluation results
| Method | Links | ||
|---|---|---|---|
| Jacobi-rKANK (degree or grid size)=22024.06 | 0 | — | |
| Padé[K/3]-rKANK (degree or grid size)=22024.06 | 0 | — | |
| Tanh2024.06 | 0 | — | |
| Padé[K/3]-rKANK (degree or grid size)=32024.06 | 0 | — | |
| fKANK (degree or grid size)=32024.06 | 0 | — | |
| fKANK (degree or grid size)=22024.06 | 0 | — | |
| Padé[K/4]-rKANK (degree or grid size)=32024.06 | 0 | — | |
| Padé[K/3]-rKANK (degree or grid size)=52024.06 | 0 | — | |
| Padé[K/3]-rKANK (degree or grid size)=42024.06 | 0 | — | |
| Jacobi-rKANK (degree or grid size)=32024.06 | 0 | — | |
| ChebNetdegree n=442019.11 | 0 | — | |
| Padé[K/6]-rKANK (degree or grid size)=52024.06 | 0 | — | |
| Jacobi-rKANK (degree or grid size)=42024.06 | 0 | — | |
| ChebNetdegree n=402019.11 | 0 | — | |
| Padé[K/4]-rKANK (degree or grid size)=42024.06 | 0 | — | |
| Padé[K/4]-rKANK (degree or grid size)=52024.06 | 0 | — | |
| fKANK (degree or grid size)=42024.06 | 0 | — | |
| Padé[K/3]-rKANK (degree or grid size)=62024.06 | 0 | — | |
| ChebNetdegree n=362019.11 | 0 | — | |
| fKANK (degree or grid size)=52024.06 | 0 | — | |
| fKANK (degree or grid size)=62024.06 | 0 | — | |
| ChebNetdegree n=322019.11 | 0 | — | |
| Jacobi-rKANK (degree or grid size)=52024.06 | 0 | — | |
| PowerNetdegree n=322019.11 | 0 | — | |
| ReLU2024.06 | 0 | — | |
| PowerNetdegree n=242019.11 | 0.0001 | — | |
| ChebNetdegree n=242019.11 | 0.0001 | — | |
| Jacobi-rKANK (degree or grid size)=62024.06 | 0.0001 | — | |
| Padé[K/5]-rKANK (degree or grid size)=62024.06 | 0.0003 | — | |
| Padé[K/6]-rKANK (degree or grid size)=42024.06 | 0.0003 | — | |
| PowerNetdegree n=162019.11 | 0.0004 | — | |
| ChebNetdegree n=162019.11 | 0.0004 | — | |
| Padé[K/4]-rKANK (degree or grid size)=62024.06 | 0.0006 | — | |
| Padé[K/5]-rKANK (degree or grid size)=42024.06 | 0.0007 | — | |
| Padé[K/4]-rKANK (degree or grid size)=22024.06 | 0.001 | — | |
| Padé[K/5]-rKANK (degree or grid size)=52024.06 | 0.0018 | — | |
| Padé[K/5]-rKANK (degree or grid size)=32024.06 | 0.0036 | — | |
| PowerNetdegree n=82019.11 | 0.004 | — | |
| ChebNetdegree n=82019.11 | 0.0041 | — | |
| Padé[K/5]-rKANK (degree or grid size)=22024.06 | 0.0044 | — | |
| KAN2024.06 | 0.0152 | — | |
| PowerNetdegree n=362019.11 | 0.0478 | — | |
| Padé[K/6]-rKANK (degree or grid size)=62024.06 | 0.0479 | — | |
| FCNN2-1width=168, rank=–, depth=12, trained parameters=312985, total parameters=312985, training time=26.7s / 10 epochs2024.06 | 2.42 | 2.75 | |
| FCNN2-2width=240, rank=–, depth=12, trained parameters=637201, total parameters=637201, training time=29.3s / 10 epochs2024.06 | 3.28 | 1.39 | |
| MMNN2 (S1)width=789, rank=36, depth=12, trained parameters=313630, total parameters=637120, training time=30.3s / 10 epochs2024.06 | 4.61 | 1.55 | |
| MMNN2 (S2)width=789, rank=36, depth=12, trained parameters=637120, total parameters=637120, training time=35.8s / 10 epochs2024.06 | 6.17 | 6.05 | |
| PowerNetdegree n=402019.11 | 178,000 | — | |
| PowerNetdegree n=442019.11 | 55,300,000,000 | — |