he won't decoding decoding matrix it produces a reconstruction you measure the square Euclidean distance between the two and that's your energy function so a classical in the applied math community at least you could generalize this and so what you get is when you turn this on this little spiral here yeah you get that the low-energy regions are basically piecewise linear approximations of with sort of low dimensionality in your subspaces of the entire system that works really well in high dimension that's the cool thing and