Function Approximation on Sobolev space W^{n, infinity}([0, 1]^D) on cube partition
1Norm TypeEUAF (Theorem 2.1)
Evaluation results
| Method | Links | |||||
|---|---|---|---|---|---|---|
| EUAF (Theorem 2.1)Activation=EUAF, Smoothness=C0(R) \ C1(R), Sigmoidal=no2026.06 | 1 | — | — | — | — | |
| DUAF∞ (Corollary 2.3)Activation=DUAF∞, Smoothness=C∞ (R), Sigmoidal=no2026.06 | 1 | — | — | — | — | |
| DUAFn (Theorem 2.4)Activation=DUAFn, Smoothness=Cn(R), Sigmoidal=yes2026.06 | 1 | — | — | — | — | |
| DUAFn (Analogous to Theorem 2.4)Activation=DUAFn, Smoothness=Cn(R), Sigmoidal=yes and strictly increasing2026.06 | 1 | — | — | — | — | |
| [Kajitsuka and Sato, 2023]; [Hu et al., 2024a, Appendix B]Model class=Uses one-layer one-head self-attention, together with FFNs for UAP.2026.04 | — | — | — | — | 2,024 |