CMSA Interdisciplinary Science Seminar: Exploring and Exploiting the Universality Phenomena in High-Dimensional Estimation and Learning


View Calendar
August 11, 2022 9:00 am - 10:00 am
CMSA, 20 Garden St, G10
Address: 1 Oxford Street, Cambridge, MA 02138 USA

Yue M. Lu - Harvard University

Universality is a fascinating high-dimensional phenomenon. It points to the existence of universal laws that govern the macroscopic behavior of wide classes of large and complex systems, despite their differences in microscopic details. The notion of universality originated in statistical mechanics, especially in the study of phase transitions. Similar phenomena have been observed in probability theory, dynamical systems, random matrix theory, and number theory.
In this talk, I will present some recent progresses in rigorously understanding and exploiting the universality phenomena in the context of statistical estimation and learning on high-dimensional data. Examples include spectral methods for high-dimensional projection pursuit, statistical learning based on kernel and random feature models, and approximate message passing algorithms on highly structured, strongly correlated, and even (nearly) deterministic data matrices. Together, they demonstrate the robustness and wide applicability of the universality phenomena.


For more information on how to join, please see: