text: This paper addresses the important problem of understanding mathematically how GANs work.  The approach taken here is to look at GAN through the lense of the scattering transform. Unfortunately the manuscrit submitted is very poorly written. Introduction and flow of thoughts is really hard to follow. In method sections, the text jumps from one concept to the next without proper definitions. Sorry I stopped reading on page 3. I suggest to rewrite this work before sending it to review. Among many things: - For citations use citep and not citet to have () at the right places. - Why does it seems -> Why does it seem etc.