Notes

Tutorials, notes, and derivations.

A Working Tutorial on Diffusion Models

Diffusion from the ground up: VAE/ELBO, DDPM, score matching, DSM/Tweedie, SDEs, Fokker–Planck, and Anderson’s reverse-time equation.

Published Aug 3, 2026 · Updated Aug 4, 2026

Laplace's Equation and the Fundamental Solution of the Poisson Equation

The radial harmonic solution, the fundamental solution of Laplace’s equation, and a proof that $\Phi * f$ solves the Poisson equation.

Published May 1, 2026