Before revision: We present convergence rates of operator learning in [Chen and Chen 1995] and [Lu et al. 2020] when the operators are solution operators of differential equations. In particular , we consider solution operators of both linear and nonlinear advection-diffusion equations  .
After revision: We present convergence rates of operator learning in [Chen and Chen 1995] and [Lu et al. 2020] , where continuous operators are approximated by a sum of products of branch and trunk networks. In this work , we consider solution operators of both linear and nonlinear advection-diffusion equations .