Maximum Likelihood InferenceExplores maximum likelihood inference, comparing models based on likelihood ratios and demonstrating with a coin example.
Monte Carlo: Markov ChainsCovers unsupervised learning, dimensionality reduction, SVD, low-rank estimation, PCA, and Monte Carlo Markov Chains.
Optimization and SimulationCovers the Metropolis-Hastings algorithm and gradient-based approaches for biasing searches towards higher likelihood values.
Estimation MethodsCovers various methods for estimating model parameters, such as method of moments and maximum likelihood estimation.
Maximum Likelihood EstimationCovers maximum likelihood estimation to estimate parameters by maximizing prediction accuracy, demonstrating through a simple example and discussing validity through hypothesis testing.