Signal Processing and Speech Communication Laboratory
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Numerical Algebraic Geometry for Understanding Machine Learning

Status
In work
Student
Christian Knoll
Mentor
Franz Pernkopf
Research Areas

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.