I think you need a little more information on the Gram matrix (maybe even ditch some of the elementary "this is gradient descent" stuff and just assume the read

I think you need a little more information on the Gram matrix (maybe even ditch some of the elementary "this is gradient descent" stuff and just assume the reader knows a bit more about convnets so that you can dive deeper into the style transfer specifics -- there are plenty of other sources that cover the former already).