Explore recent developments in information inequalities during this 47-minute lecture from the Hausdorff Center for Mathematics, focusing on unifying perspectives across multiple mathematical disciplines. Delve into a comprehensive examination of entropy inequalities and their wide-ranging applications in information theory, analysis, geometry, and statistics. Learn from collaborative research conducted with Efe Aras and Jingbo Liu as the fundamental principles and practical implementations of these mathematical concepts are thoroughly explained.
Information Inequalities on Euclidean Space - Applications in Information Theory and Analysis
Hausdorff Center for Mathematics via YouTube
Overview
Syllabus
Thomas Courtade: Information inequalities on Euclidean space
Taught by
Hausdorff Center for Mathematics
Related Courses
-
Brunn-Minkowski Inequalities via Concavity of Entropy
-
A Geometrical Interpretation of Universally Quantified Inequalities and Its Applications to Mathematics
-
On Gilles Pisier's Approach to Gaussian Concentration, Isoperimetry, and Poincare-Type Inequalities
-
Combinatorial Applications of the Shearer and Han Inequalities in Graph Theory and Boolean Functions
-
Some Conjectures Relating the Optimality of Dictator Functions and Connections to Discrete Isoperimetric Inequalities
-
Basic Properties of Information Theory - Lecture 2
