Red bus/Blue bus paradoxExplores the Red bus/Blue bus paradox, nested logit models, and multivariate extreme value models in transportation.
Machine Learning FundamentalsIntroduces fundamental machine learning concepts, covering regression, classification, dimensionality reduction, and deep generative models.
Maximum Likelihood InferenceExplores maximum likelihood inference, comparing models based on likelihood ratios and demonstrating with a coin example.
Bayesian Estimation: Overview and ExamplesIntroduces Bayesian estimation, covering classical versus Bayesian inference, conjugate priors, MCMC methods, and practical examples like temperature estimation and choice modeling.
Latent Variable ModelsExplores latent variable models, EM algorithm, and Jensen's inequality in statistical modeling.
Nonlinear ML AlgorithmsIntroduces nonlinear ML algorithms, covering nearest neighbor, k-NN, polynomial curve fitting, model complexity, overfitting, and regularization.
Basics of Linear RegressionCovers the basics of linear regression, including OLS estimators, hypothesis testing, and confidence intervals.
Probabilistic Linear RegressionExplores probabilistic linear regression, covering joint and conditional probability, ridge regression, and overfitting mitigation.