Question of the Form, How Well Can You Learn Back Your Distribution?

i like understanding theoretical guarantees of perhaps a certain technique. But when you speak of a theoretical guarantee, tell us what that would mean. i'm typically interested in understanding when this is an easy problem to solve, when it's a hard problem to solve. And why i'm interested in looking at techniques that maybe people already use,. An understanding under what circumstances is this guaranteed to work. It's an interesting niche. Uh, it's as if there are tools that people have, like you could literally picture a drill n or a hammer or a saw en. I want to know, what does this hammer work on?