Information Theory: BasicsCovers the basics of information theory, entropy, and fixed points in graph colorings and the Ising model.
Monte Carlo: Markov ChainsCovers unsupervised learning, dimensionality reduction, SVD, low-rank estimation, PCA, and Monte Carlo Markov Chains.
Bounds and InequalitiesCovers upper and lower bounds, Jensen's inequality, and amended bounds in mathematical analysis.