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### Special Colloquium (Data Science): Metric Algebraic Geometry

**Special Events**

Speaker: | Madeleine Weinstein, Stanford |

Related Webpage: | https://virtualmath1.stanford.edu/~mweinste/ |

Location: | 2112 MSB |

Start time: | Fri, Jan 20 2023, 3:10PM |

A real algebraic variety is a set of points in real Euclidean space that satisfy a system of polynomial equations. Metric algebraic geometry is the study of properties of real algebraic varieties that depend on a metric. In this talk, we introduce metric algebraic geometry through a discussion of Voronoi cells, bottlenecks, and the reach of an algebraic variety. We describe applications to the study of the geometry of data with nonlinear models and to low-rank matrix approximation.