Invariance, equivariance, and covariance

SEMINARS, OPEN NEIGHBORHOOD

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March 23, 2022 4:30 pm - 5:30 pm
Science Center 507
Address: 1 Oxford Street, Cambridge, MA 02138 USA
Speaker:

Anna Seigal - Harvard University


These are three concepts that examine how quantities vary: invariance and equivariance, from mathematics, and covariance, from statistics. How do they relate to each other?

We will see how groups and symmetries are at the heart of various problems in statistics. I will also describe approaches to estimate parameters in statistical models using invariant theory, based on joint work with Carlos Amendola, Kathlen Kohn, and Philipp Reichenbach.