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Math Calendar

Upcoming Events

September 22, 2021 (Wednesday), 4:10 pm

Topology & Group Theory Seminar

Title- TBD

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

September 22, 2021 (Wednesday), 4:10 pm

Computational Analysis Seminar

Robust Machine Learning beyond Maximum Likelihood

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.

September 29, 2021 (Wednesday), 4:00 pm

Qualifying Examination

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

September 29, 2021 (Wednesday), 4:10 pm

Topology & Group Theory Seminar

Title- TBD

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

October 1, 2021 (Friday), 4:10 pm

Subfactor Seminar

Subfactor Seminar- Title TBD

Michael Montgomery, Vanderbilt University
Zoom ID 94393956397 Subfactor Seminar

October 6, 2021 (Wednesday), 4:10 pm

Computational Analysis Seminar

Title- TBD

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

October 8, 2021 (Friday), 2:30 pm

PDE Seminar

PDE Seminar- Title- TBD

Elena Giorgi, Columbia University
PDE Seminar

October 13, 2021 (Wednesday), 4:10 pm

Computational Analysis Seminar

Title TBD

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

October 13, 2021 (Wednesday), 4:10 pm

Topology & Group Theory Seminar

Title- TBD

Jiawei Han (Vanderbilt)

October 22, 2021 (Friday), 4:10 pm

Subfactor Seminar

Subfactor Seminar- Title- TBD

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

October 22, 2021 (Friday), 4:10 pm

Topology & Group Theory Seminar

Title- TBD

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

October 29, 2021 (Friday), 11:30 am

Subfactor Seminar

Subfactor Seminar-Title TBD

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

October 29, 2021 (Friday), 2:30 pm

PDE Seminar

PDE-Seminar- Title- TBD

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

November 3, 2021 (Wednesday), 4:10 pm

Computational Analysis Seminar

Title- TBD

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

November 5, 2021 (Friday), 4:10 pm

Subfactor Seminar

Subfactor Seminar- Title TBD

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

November 12, 2021 (Friday), 2:30 pm

PDE Seminar

PDE Seminar- Title- TBD

Federico Pasqualotto, Duke University
PDE Seminar

November 12, 2021 (Friday), 4:10 pm

Subfactor Seminar

Subfactor Seminar- Title TBD

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

November 17, 2021 (Wednesday), 4:10 pm

Computational Analysis Seminar

Title- TBD

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

December 3, 2021 (Friday), 4:10 pm

Subfactor Seminar

Subfactor Seminar- Title TBD

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