fine grid like this and then we're just going to discretize every possible data point so instead of coding one data point exactly we'll just coat the biddin that it lies in like that so that's G of X is like the cube bed that's some data point lies in and the point of doing this is that if if you define a probability mass function given by integrating this density given by the flow over these cubes and then you get then you get a negative log likelihood that looks like this it's just this the density times Delta negative plug