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It has been shown that a finite difference implementation of wave propagation can be expressed as a deep neural network (e.g., [1]). These networks can have tho
by emmynoether 3y ago
It has been shown that a finite difference implementation of wave propagation can be expressed as a deep neural network (e.g., [1]). These networks can have thousands of layers and yet I don't think they suffer from the exploding/vanishing gradient problem, which I imagine is because in the physical system they model there are conservation laws such as conservation of energy.
[1] https://arxiv.org/abs/1801.07232 https://arxiv.org/abs/1801.07232