Jump with deep learning

A deep learning model that captures jump discontinuity and an example of application in PDE

Jump discontinuities in a function are formed when all the one-sided limits exist and are finite, but are or not equal and you will usually encounter them in piece-wise functions for which different parts of domains are defined by different continuous functions. As is said by the universal approximation theorem, in the mathematical theory of artificial neural networks, a feed-forward …

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