Numerical Algebraic Geometry for Understanding Machine Learning

PhD Student 
Research Area

 Systems of polynomial equations occur in many engineering problems. Finding the common roots of a system of multivariate polynomials is at the heart of various fields of mathematics.

Building upon the rich history of algebraic geometry, we hope to get new insights and a deeper understanding of probabilistic graphical models. By connecting these two fields we hope to derive new bounds and performance guarantees.

This thesis is supervised by Franz Pernkopf.