On the Equivalence of Statistical Distances for Isotropic Convex Measures in Discrete and Continuous setting

Event Date: 

Wednesday, June 12, 2024 - 3:30pm to 4:30pm

Event Date Details: 

Wednesday June 12, 2024 

Event Location: 

  • HSSB 1174

Event Price: 


Event Contact: 

Dr. Puja Pandey 


Visiting Assistant Professor 

  • Department Seminar

 In convex geometry and its probabilistic aspects, many fundamental inequalities can be reversed up to universal constants in the presence of geometric properties. In this talk we will see that distances between probability measures are equivalent for convex measures. Distances include total variation distance, Wasserstein distance, Kullback-Leibler distance and Levy-Prokhorov distance. This extends a result of Meckes and Meckes (2014).