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The second original Swish paper

Here: https://www.semanticscholar.org/paper/Searching-for-Activation-Functions-Ramachandran-Zoph/c8c4ab59ac29973a00df4e5c8df3773a3c59995a

It was published in Arxiv before your paper, so it should be cited and commented, in my opinion. They have found (or "found") through a search, the swish function with a beta factor inside the sigmoid, whereas you add one outside.

As far as I can see, for unconstrained weights a beta outside the sigmoid does exactly the same as increasing all the weights from the node, so the network will be able to represent exactly the same functions as pure swish (except the last layer may have no weights out). And a beta inside the sigmoid is equivalent to changing all the weights into the node (except the first layer may have no weights into it).

So basically, the beta parameters only affect the learning process, and will obviously interact with other learning parameters/choices and regularization. (Using SGD instead of Adam for a comparison based on another paper counts as such a choice.)

Please enlighten me if I am wrong.

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