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01 ·Calculus & Optimization·★ MEMBER·13 min read Calculus of Variations — What It Means to Differentiate a Function When the thing you are searching for is a shape rather than a number, differentiation has to be reinvented. Functionals and the first variation, the Euler–Lagrange equation, why the fastest slide is a cycloid, and how all of it lands on the ELBO — the variational problem machine learning runs most. 02 ·Generative Models·FREE·10 min read VAEs from Scratch — Stir Probability into "Compress and Restore" and You Get a Generator An autoencoder that only compresses and restores cannot invent anything new. This walks through why a single drop of probability turns it into a generative model — ELBO, the reparameterization trick, and walking the latent space — assuming no prior knowledge.