luca

moments are important theoretically because they provide an alternative way to fully and uniquely specify a probability distribution, a fact that is intuitive if you understand how moment’s quantify a distribution’s location, spread, and shape

The Fisher information matrix is simply the Hessian of KL divergence at the point where two distributions are equal.

Only the future can tell. But we need to mend our ways. Otherwise, nihilism will win and we will deconstruct ourselves into oblivion. Maybe this is will be the million dollar question of the next century. What do we do, when we do not have to do anything?

Differential geometry is all about constructing things which are independent of the representation