Maximum Likelihood InferenceExplores maximum likelihood inference, comparing models based on likelihood ratios and demonstrating with a coin example.
Discrete Choice AnalysisIntroduces Discrete Choice Analysis, covering scale, depth, data collection, and statistical inference.
Exponential FamilyCovers the properties of the exponential family and the estimation of parameters.
Probability and StatisticsIntroduces probability, statistics, distributions, inference, likelihood, and combinatorics for studying random events and network modeling.
Mutual Information: ContinuedExplores mutual information for quantifying statistical dependence between variables and inferring probability distributions from data.
Maximum Likelihood EstimationCovers maximum likelihood estimation to estimate parameters by maximizing prediction accuracy, demonstrating through a simple example and discussing validity through hypothesis testing.
Stochastic Block ModelCovers the Stochastic Block Model and its application in community detection, exploring its mathematical formulation and challenges.
Probabilistic Linear RegressionExplores probabilistic linear regression, covering joint and conditional probability, ridge regression, and overfitting mitigation.
Estimation MethodsCovers various methods for estimating model parameters, such as method of moments and maximum likelihood estimation.
Maximum Likelihood EstimationCovers Maximum Likelihood Estimation in statistical inference, discussing MLE properties, examples, and uniqueness in exponential families.