MathOverflow

A colleague and I are trying to understand some results in stochastic approximation theory with a view to gaining quantitative information about rates of convergence of certain processes. We have done a quantitative analysis of Dvoretzky's theorem in...

Suppose we trained a neural network to fit a solution of a PDE, but we want to do something in a Finite Element Space, so we need transform our neural network to the latter. What is the way to do this (projection or others) ? and it is better to provide...

In many Russian-language sources(I'm from Russia) there is no reference to the original proof, and Wikipedia(as the most obvious and less reliable source) only mentions Fermatists and the formulation of the theorem itself, probably due to the length...

Given a functor $F : \mathbf A \to \mathbf B$ between small categories, the induced functor $F^* : [\mathbf B^\circ, \mathbf{Set}] \to [\mathbf A^\circ, \mathbf{Set}]$ is monadic if and only if $F$ is dominant, i.e. surjective on objects up to retracts...