A multilevel stochastic-gradient neural solver represents the unknown density by an MLP and trains it by minimizing Nyström residuals on refining grids, achieving work linear in the finest grid size.
Hackbusch.Multi-Grid Methods and Applications
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A multilevel stochastic-gradient neural solver for boundary integral equations
A multilevel stochastic-gradient neural solver represents the unknown density by an MLP and trains it by minimizing Nyström residuals on refining grids, achieving work linear in the finest grid size.