The Curse of Dimensionality and Decision Theory
High-dimensional data pitfalls (CoD) and core decision theory: risk, posterior-based rules, reject option.
Ml
Transformations of random variables
Change-of-variables for PDFs: scalar and multivariate cases, Jacobian determinant, convolution and CLT.
Polynomial curve fitting
Polynomial regression from least squares to Bayesian view: closed-form, regularization, predictive uncertainty.