"How often should you beat your kids?", by Don Zagier.
> This note is a follow-up to the note "How to beat your kids at their own game" by K. Levasseur, in which the author proposes the following game to be played against one's own children: ... Levasseur analyzes the game and shows that on average you will have a score of n + (sqrt(pi * n) - 1) / 2 + O(n^{-1/2}), while the kid, of course, will have an average score of exactly n.
> We maintain, however, that only the most degenerate parent would play against a 2-year-old for money, and that our concern should therefore be not by how much you expect to win, but with probability you will win at all.
throwaway314155•2mo ago
https://gwern.net/gan
gwern•2mo ago
(Although I'm not really current on where image generation is these days or who is using GAN-like approaches under the hood or what are the current theoretical understandings of GAN vs AR vs diffusion, so if you have some specific reason I should have "caved", feel free to mention it - I may well just be unaware of it.)
throwaway314155•2mo ago
edit: For what it's worth - I agree. At least some auto-encoders (which will produce latents for diffusion models) use some form of adversarial method.
Still, I'm curious if you think GAN models in their more familiar form are going to eventually take on LCM/diffusion models?
throwaway314155•2mo ago