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Special Colloquium (Data Science): Metric Algebraic Geometry

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Speaker: Madeleine Weinstein, Stanford
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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.