All Posts

• Notes on Discrete Differential Geometry
  Simplices, simplicial complexes, star, closure and link, k-vectors, k-forms, the Hodge star, and the musical isomorphisms.
  Mathematics 10 min read
• C++26 Reflection, A Quick Exploration
  Building a struct-to-JSON writer with the ^^ reflection operator, splicers and template for.
  C++ 14 min read
• The Math Behind Variational Autoencoders
  From the intractable evidence integral to the ELBO, deriving the variational lower bound, the reparameterisation trick, and the closed-form KL.
  Machine Learning 25 min read
• Diffusion #2: The Math Of The Gaussian Backward Pass
  Deriving the reverse diffusion posterior from Bayes' theorem.
  Machine Learning 20 min read
• Diffusion #1: The Math Of The Gaussian Forward Pass
  Deriving the closed-form forward process for diffusion models from first principles.
  Machine Learning 15 min read