Charles Epstein | Geometry of the Phase Retrieval Problem

On August 19-20, 2019 the CMSA hosted our fifth annual Conference on Big Data. The Conference featured many speakers from the Harvard community as well as scholars from across the globe, with talks focusing on computer science, statistics, math and physics, and economics.

Speaker: Charles Epstein, AMCS

Title: Geometry of the Phase Retrieval Problem

Abstract: In several imaging modalities the measured data can be interpreted as the modulus of the Fourier transform of a function describing the unknown object. To reconstruct this object one needs to use some auxiliary information to recover the un-measured phase of the Fourier transform. This is a notoriously difficult problem. I will discuss the underlying geometric reasons for these difficulties, approaches to improving the performance of standard algorithms, as well as entirely new approaches to this problem.

Видео Charles Epstein | Geometry of the Phase Retrieval Problem канала Harvard CMSA