Those are mostly blog posts, notes, talk slides, nice pictures and various things about mathematics, statistics, CS and machine learning.

**Super-Catalan***(Janvier 2022)**Une question non-résolue, vieille de 150 ans, et probablement très inutile.***The ConvMixer architecture: 🤷***(December 2021)**I am training a deep network on a GPU using the Flux.jl library. There are two takeaway messages: 1) patches are all you need, 2) in Julia, the ConvMixer *largely* fits in one Tweet.***Diffusion models***(March 2023)**A small mathematical summary.***The Kullback-Leibler divergence between Gaussians***(June 2022)**I'll know once and for all where to find this damn formula.***The double descent phenomenon***(November 2021)**Why do overparametrized networks do well?***An inverse visualization for the elliptic law***(March 2021)**A beautiful colorplot of the characteristic polynomial of random matrices.***Gradient descent over convex landscapes***(April 2022)**A note on the most elementary result of convex optimization: the speed of convergence is determined by the conditionning number of the Hessian.***The dimension of invariant and equivariant linear layers***(July 2021)**We compute the dimension of equivariant linear layers in neural architectures.***The Jarzynski estimator***(March 2022)**An elegant estimator for free energies.***The Kelly criterion, crypto exchange drama, and your own utility function***(November 2022)**The most misused and simplistic investment criterion.***The point of view of Professor Parapine***(November 2022)**An interesting vision of science from one century ago.***Waves on donuts***(August 2021)**A nice plot of random Laplace eigenfuctions on the torus, also called random arithmetic waves.***Random line processes***(August 2021)**How to draw random lines on the plane.***Random analytic functions: Ryll-Nardzewski's theorem***(April 2021)**What happens at the boundary of the disk of convergence of random analytic series.***Robbins' version of the Stirling approximation***(November 2022)**A handy, easy-to-remember estimate for the error in Stirling's approximation.***Slides***(February 2021)**Html slides of some of my talks***Tips and tricks in Julia***(2022)**A personnal collection of Julia's nice tricks.*