Electrical Engineering Seminar: "The Generalized Phase Retrieval Problem"
Professor Dan Edidin
Department of Mathematics
University of Missouri, Columbia, USA
Professor Dan Edidin is a Fulbright-TAU Senior Scholar at The Institute of Advanced Studies for the academic year 2024/2025.
Abstract:
The classical phase retrieval problem, which first arose in X-ray crystallography, is the problem of using prior information to estimate a signal from its Fourier magnitudes. The generalized phase retrieval problem entails using prior information to recover a collection of matrices from their Gram matrices. Mathematically, this problem arises from viewing phase retrieval through the lens of representation theory of compact groups. In classical phase retrieval the group is the circle group. When the group is the 3-dimensional rotation group we obtain applications to single-particle cryo-electron microscopy, a leading technique in structural biology.