Lectures related to Voristicand Characterization of KL Divergences

Graphical Models: Representing Probabilistic Distributions

Covers graphical models for probabilistic distributions using graphs, nodes, and edges.

Explores generalization error in machine learning, focusing on data distribution and hypothesis impact.

Explores quasilocality in statistical mechanics and the existence conditions of Gibbs measures.

Optimal Transport: Theory and Applications

Explores optimal transport theory, transport maps, entropy, and their practical implications in mathematical optimization.

Multivariate Statistics: Wishart and Hotelling T²

Explores the Wishart distribution, properties of Wishart matrices, and the Hotelling T² distribution, including the two-sample Hotelling T² statistic.

Variational Formulation: Information Measures

Explores variational formulation for measuring information content and divergence between probability distributions.

Periodic Solutions in Planar Systems

Explores the absence and existence of periodic solutions in planar systems.

Birth and Death Chains

Explores transience and recurrence in Markov chains, emphasizing birth and death chains and random walks.