Markov chainsCovers Markov chains, Monte Carlo sampling, isotropy, and the curse of dimensionality.
Parameter EstimationDiscusses parameter estimation, including checks, quality, distribution, and statistical properties of estimates.
Spectral Estimation MethodsExplores parametric spectrum estimation methods, including line and smooth spectra, and delves into heart rate variability analysis.
Monte Carlo: Markov ChainsCovers unsupervised learning, dimensionality reduction, SVD, low-rank estimation, PCA, and Monte Carlo Markov Chains.
Lindblad equationCovers the interpretation of the Lindblad equation and its unitary part in quantum gases.
MCMC with MetropolisCovers the implementation of Markov Chain Monte Carlo (MCMC) with the Metropolis algorithm for sampling from posterior distributions.
Advanced Probability: SummaryCovers random variables, sample spaces, probability distributions, functions, expected value, variance, and estimations.