Bernd Sturmfels: The Euclidean Distance Degree

Bernd Sturmfels, UC Berleley and MPI Bonn

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Time: Wed 2013-10-09 14.15 - 16.15

Location: Room B2

 

Schedule

14:15-15:00: Precolloquium for PhD and master students by Erik Aas (Room B2)
15:15-16:15: Colloquium lecture by Christoph Berndt Sturmfels (Room B2)
16:15-17:00: Coffee and SMC social get-together.

Abstract (Colloquium) 

The nearest point map of a real algebraic variety with respect to Euclidean distance is an algebraic function. The Euclidean distance degree is the number of critical points of this optimization problem. We focus on varieties seen in engineering applications, and we discuss exact computational methods. Our running example is the Eckart-Young Theorem which states that the nearest point map for low rank matrices is given by the singular value decomposition. This is joint work with Jan Draisma, Emil Horobet, Giorgio Ottaviani, Rekha Thomas. 

Kollokvier 2013

Titel Datum
Kristian Seip: Analysis on polydiscs 2013‑11‑27
Bernd Sturmfels: The Euclidean Distance Degree 2013‑10‑09
Christoph Thiele: L^p theory for outer measures and applications 2013‑09‑25
Antti Kupiainen: Critical Multiplicative Chaos 2013‑05‑15
Günther Uhlmann: Cloaking: Science Meets Science Fiction 2013‑04‑24
Anatoliy Fomenko: Topological classification of Hamiltonian equations with symmetries. Application to physics and mechanics 2013‑02‑27
Jan-Erik Roos: Classical Lie algebras contra infinite-dimensional positively graded Lie algebras 2013‑02‑06