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Looks very intersting (and beautiful), wish I could understand some more of it :)

Could someone explain in simple terms how the arithmetic work? E.g. when they do "smiling woman" - "neutral woman" + "neutral man" = "smiling man", is it like you perform the operations on the networks' weights or something?

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The input to the G-network is a Vector of numbers, of size K. The output is an image. Different random vectors give different output images.

We are doing vector arithmetic in this input space, and the outputs seem to be semantically changing according to the vector arithmetic.

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