26.04.2018 um 17:15 Uhr in Raum 69/125
Prof. Dr. Bernd Sturmfels (MPI Leipzig)
Learning Algebraic Varieties from Samples
This lecture discusses the role of algebraic geometry in data science.
We report on recent work with Paul Breiding, Sara Kalisnik and Madeline Weinstein.
We seek to determine a real algebraic variety from a fixed finite subset of points.
Existing methods are studied and new methods are developed. Our focus lies on
topological and algebraic features, such as dimension and defining polynomials.
All algorithms are tested on a range of datasets and made available in a Julia package.