of deep Nets this is one direction that we've been exploring the other is looking in particular at these affine mappings so again when you're in in a VQ tile you know that there's for all signals that live in that tile there's just a fine map that goes from the input to the output what what what what properties can we do for me glean from these okay so in particular if we think let's just study the the simple the the case of input to the output of the entire network okay which we'll call this Z big L you can