affine spline framework and the way to do that is to switch from a deterministic hard vector quantization approach or way of thinking where if X lives in a in this particular vector quantization tile it definitively lives in that vector quantization tile to a soft VQ approach where now we just we have a probability that X will fall in a given vector quantization tile where for this particular signal maybe there's a high probability in this tile somewhat smaller in the local local region a burring tiles and then decreasing