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Mathematics Colloquium by Jose Rodriguez
Monday, Dec 1, 2014
11:30 a.m. - 12:30 p.m. Location: SLC 2.303

Please note the change in the event time and location.

 

Jose Rodriguez

NSF Postdoctoral Fellow, Applied and Computational Mathematics and Statistics, University of Notre Dame

and 

Visiting Scientist, Simons Institute for the Theory of Computing

Numerical Algebraic Geometry for Maximum Likelihood Estimation

Numerical algebraic geometry is a growing area of algebraic geometry that involves describing solutions of systems of polynomial equations. This area has already had an impact in kinematics, statistics, PDE's, and pure math. This talk will focus on using numerical algebraic geometry for maximum likelihood estimation in algebraic statistics.

The first half will be an introduction to solving polynomial equations. In the second half, computational results of Maximum Likelihood degrees (ML-degrees) for matrices with rank constraints, which are related to mixture models arising in statistics, will be presented. This is followed by a surprising theoretical result termed maximum likelihood duality.

The talk will conclude with remarks on future directions of research.

Prior to the colloquium, coffee will be served in the alcove outside of FO 2.406

Sponsored by the Department of Mathematical Sciences

Contact Info:
John Zweck, 972-883-6699
Questions? Email me.

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