Maximum Likelihood EstimationExplores Maximum Likelihood Estimation, covering assumptions, properties, distribution, shrinkage estimation, and loss functions.
Compression: PredictionCovers the concepts of compression and prediction using prefix-free codes and distributions.
Continuous Random VariablesCovers continuous random variables, probability density functions, and distributions, with practical examples.
Diffusion ModelsExplores diffusion models, focusing on generating samples from a distribution and the importance of denoising in the process.
Basics of Risk Analysis and ManagementIntroduces the basics of risk analysis and management in civil engineering, covering distributions, statistical reminders, and mathematical interpretation techniques.