10 H Antoine Gautier (Saarland Universitat)
Title: Sinkhorn and power method for tensors with positive entries
Abstract: For positive matrices, the power method and the Sinkhorn method have in common that their convergence can be analysed with tools of the nonlinear Perron-Frobenius theory such as the Hilbert projective metric and the Birkhoff-Hopf theorem. We present a generalization of these tools for positive tensors of any order and discuss the convergence of the corresponding higher order power method and higher order Sinkhorn method.
Joint work with Matthias Hein and Francesco Tudisco.
11H Tryphon Georgiou (UC Irvine)
Title: What is new in Optimal Mass Transport?
Abstract:
We will discuss recent research directions that the speaker has participated in on Optimal Mass Transport, Schroedinger bridges and stochastic control. In particular, we will discuss transport over discrete spaces and networks, vector-valued transport, matrix-valued transport and its connections to the Lindblad equation of open quantum systems, and generalizations with second-order calculus.
The talk is based on joint work with Yongxin Chen (soon at Georgia Tech),
Michele Pavon (University of Padova), and Allen Tannenbaum (Stony Brook).
