Bayesian

Jan 22, 2026 ML Math Derivations 28 min read

ML Math Derivations (3): Probability Theory and Statistical Inference

Machine learning is uncertainty modeling. This article derives probability spaces, common distributions, MLE, Bayesian estimation, limit theorems and information theory -- the statistical engine behind every ML model.

Dec 19, 2021 Kernel Methods 34 min read

Kernel Methods (6): Gaussian Processes — When Kernels Meet Bayesian Inference

Gaussian Processes turn kernels into a Bayesian model — posterior with uncertainty, marginal likelihood for hyperparameters, and the kernel as a prior over functions.