Mapping my Face in the GAN Latent Space

Taken from
Example of interpolation between two latent vectors.

Recovering a Latent Vector

This problem can be framed as simple optimisation problem that can be solved by gradient descent. Let z be the original unknown latent vector that generated a face and ϕ be the generator. Then we want to find z’ that generates a face that is a close as possible to the original one. That is, we want to solve this optimisation problem:

Recovering my Face

This technique is very good to recover a latent vector from a face generated by the same GAN. In the case of a random real face, it is not quite possible for this algorithm to identify a good latent vector which generates a close enough version of the input face. This is what I obtain when I use my face as starting point 😅:



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