**The ConvMixer architecture: ðŸ¤·***(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.***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.***The dimension of invariant and equivariant linear layers***(July 2021)**We compute the dimension of equivariant linear layers in neural architectures.***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.*

More to come.