Shallow ReLU$^s$ Networks in $L^p$-Type and Sobolev Spaces: Approximation and Path-Norm Controlled Generalization
arXiv:2605.18468v4 Announce Type: replace-cross Abstract: This paper studies approximation by shallow ReLU$^s$ networks, $sigma_s(t)=max{0,t}^s$, together with their generalization behavior under $ell_1$ path-norm control. For the $L^p$-type integral spaces $widetilde{mathcal{F}}_{p,tau_d,s}$, $1le ple2$, spherical harmonic analysis yields approximation bounds for shallow networks.…
