Title: Wasserstein Gradient Flows for Potentials in Frame Theory
Abstract: In this talk, I will discuss some key ideas and methods of two disparate fields of mathematical research, frame theory and optimal transport, using the methods of the second to answer questions posed in the first. In particular, I will discuss construction of gradient flows in the Wasserstein space for a new potential, the tightness potential, which is a modification of the probabilistic frame potential. The potential is suited for the application of a gradient descent scheme from optimal transport that can be used as the basis of an algorithm to evolve a given frame toward a tight probabilistic frame.
Here is the new link and meeting ID+passcode:
https://wse.zoom.us/j/91467375713?pwd=VjN3ekZTRFZIWS80NnpwZUFRUzRWUT09
Meeting ID: 914 6737 5713
Passcode: 272254