Samuel Shepherd (Vanderbilt)
Topology & Group Theory Seminar page for Zoom meeting information

Yunlong Feng, University at Albany
Computational Analysis Seminar page for Zoom meeting information

Robust machine learning has been drawing more and more attention in recent years. The primary concern of robust machine learning is how to predict from observations that may be severely contaminated. In this talk, in a regression setup, we investigate a robust learning scheme induced by some error criterion that has been applied in many science and engineering fields. Despite its wide applications, theoretical studies that explain the robustness and learnability of this robust learning scheme are quite limited, which may be due to the nonconvexity of the error criterion and the presence of a scale parameter in the error criterion. To reveal how the robust learning scheme works with contaminated data, we develop a systematic theoretical framework showing that (1) the resulting regression estimator approaches the conditional mean function under weak moment conditions with a diverging scale parameter, (2) the estimator may approach the conditional mode function with a diminishing scale parameter, and (3) the robust learning scheme can learn in the presence of outliers. To further reveal the mechanisms of this robust learning scheme, we show that it can be interpreted as a minimum distance estimation approach, as opposed to the commonly used maximum likelihood estimation approach in robust machine learning. These findings, on one hand, provide a theoretical underpinning for this robust learning scheme, on the other hand, deepen our understanding of bounded nonconvex loss functions in machine learning.

Minh Quan Hoang Vu
Email: minh.quan.h.vu@vanderbilt.edu

Srivatsav Kunnawalkam Elayavalli (Vanderbilt)
Topology & Group Theory Seminar page for Zoom meeting information

Michael Montgomery, Vanderbilt University
Zoom ID 94393956397 Subfactor Seminar

Rocío Díaz Martín, Vanderbilt University
Computational Analysis Seminar page for Zoom meeting information

Elena Giorgi, Columbia University
PDE Seminar

Ron Levie, University of Munich
Computational Analysis Seminar page for Zoom meeting information

Jiawei Han (Vanderbilt)

Dan-Virgil Voiculescu, UC Berkeley
Zoom ID 94393956397 Subfactor Seminar page for Zoom meeting information

Jiawei Han (Vanderbilt)
Topology & Group Theory Seminar page for Zoom meeting information

Mikael Rordam, University of Copenhagen
Zoom ID 94393956397 Subfactor Seminar page for Zoom meeting information

Katrina Morgan, Northwestern University
PDE Seminar page for Zoom meeting information

Alex Cloninger, University of California – San Diego
Computational Analysis Seminar page for Zoom meeting information

Changying Ding, Vanderbilt University
Zoom ID 94393956397 Subfactor Seminar page for Zoom meeting information

Federico Pasqualotto, Duke University
PDE Seminar

Corey Jones, North Carolina State University
Zoom ID 94393956397 Subfactor Seminar page for Zoom meeting information

Yvonne Ou, University of Delaware
Computational Analysis Seminar page for Zoom meeting information

James Tener, ANU Mathematical Sciences Institute
Zoom ID 94393956397 Subfactor Seminar page for Zoom meeting information