(Foundations of Statistical Learning)
- Review of Probability Theory
- Review of Random Variables
- Sequence of Random Variables
- Estimation Theory
- Detection Theory And hypothesis testing
- Stochastic Processes
- Stationary Stochastic Processes -Power Spectral Density
- Stochastic Linear Systems
- Special stochastic processes (Gaussian Process, Poisson Process,Random walk, Wiener Process, Dirichlet process
- Markov Processes, Markov Chains
- Hidden Markov Models
- Monte Carlo Methods
- Probabilistic Graphical Models
- Variational Inference