DescriptionModel selection and its diagnosis are foundational elements in modern statistical and machine learning applications that serve the purpose of obtaining reliable information and reproducible results. In this short course, we introduce the principles and theories on model selection and model averaging and their applications in high-dimensional regression. Model selection methods includ...
Abstract:One of the central foci of representation theory in the 20th century was the representation theory of Lie algebras, starting with finite dimensional algebras and expanding to a rich, but still mysterious infinite dimensional theory. In this century, we realized that this was only one special case of a bigger theory, with new sources of interesting non-commutative algebras whose repres...