It's a great article, and an interesting new colour space. It would be really interesting to see a variety of image transformations done in each of these colour spaces, on a variety of images (photos in particular). E.g. resizing and blurring as jiggawatts suggests, and also things like brightness, contrast, saturation, white-balance, etc.

How big are your datasets? Would the parameters get better if they were bigger, or have they converged to some optimum?

A couple of typos I spotted: "asses", "he final".