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- W2950776240 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.
- W2950776240 created "2019-06-27" @default.
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- W2950776240 date "2018-10-19" @default.
- W2950776240 modified "2023-09-27" @default.
- W2950776240 title "Nonlinear integro-differential operator regression with neural networks" @default.
- W2950776240 hasPublicationYear "2018" @default.
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