A hybrid LS/GD training scheme for DeepONets, using a factored least-squares solve for the last layer, converges in far fewer work units than Adam-only training on advection, diffusion-reaction, and Poisson benchmarks.
Cybenko, Approximation by superpositions of a sigmoidal function , Mathematics of Control, Signals and Systems, 2 (1989), pp
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Hybrid Least Squares/Gradient Descent Methods for DeepONets
A hybrid LS/GD training scheme for DeepONets, using a factored least-squares solve for the last layer, converges in far fewer work units than Adam-only training on advection, diffusion-reaction, and Poisson benchmarks.