a signal right a particular ax lands in this particular tile right there is a that that gives you a particular matrix a right and a offset vector B right that are different for every VQ tile but then the mapping for the input to the output of that layer is just simply this affine map so you can think of a the mapping from the input to the output of one deep knit layer is just a VQ dependent affine transformation so this is one layer so now if we go through two layers and we think of the partition induced on the