sparse and then the way this is implemented is on with a l1 constraint where both work you know minimize the sum of absolute value terms on the on their coefficients AJ okay the sparsity penalty term and so if you do this then on by the way I think this is the only equation I have for this first hour so I hope you enjoyed it so same thing in pictures if you train sparse coding on unnatural images every single time you're on it they'll learn the set of basis functions that look a lot like the edge detectors that you know we believe visual protocol