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.
翻译:我们在[Chen和Chen 1995年]和[Lu等人 2020年]中介绍了操作者学习的趋同率,当操作者是差别方程式的溶解操作者时,我们特别考虑了线性和非线性对流-扩散方程式的溶解操作者。