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- W2897384988 abstract "This note introduces a regression technique for finding a class of nonlinear integro-differential operators from data. The method parametrizes the spatial operator with neural networks and Fourier transforms such that it can fit a class of nonlinear operators without needing a library of a priori selected operators. We verify that this method can recover the spatial operators in the fractional heat equation and the Kuramoto-Sivashinsky equation from numerical solutions of the equations." @default.
- W2897384988 created "2018-10-26" @default.
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- W2897384988 date "2018-11-20" @default.
- W2897384988 modified "2023-09-27" @default.
- W2897384988 title "Nonlinear integro-differential operator regression with neural networks" @default.
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