2012 DiPerna Lectures
The 2012 DiPerna Memorial Lecture will be delivered by Emmanuel Candes, Stanford, on January 26.
Department of Mathematics, University of California, Berkeley, presents
The DiPerna Memorial Lecture 2012
Emmanuel Candes
Stanford
Thursday, January 26, 4 p.m.
60 Evans
Exact Phase Retrieval via Convex Programming
This talk introduces a novel framework for phase retrieval, a problem
which arises in X-ray crystallography, diffraction imaging, astronomical
imaging and many other applications. Our approach combines multiple
structured illuminations together with ideas from convex programming to
recover the phase from intensity measurements, typically from the
modulus of the diffracted wave. We demonstrate empirically that any
complex-valued object can be recovered from the knowledge of the
magnitude of just a few diffracted patterns by solving a simple convex
optimization problem inspired by the recent literature on matrix
completion. More importantly, we also demonstrate that our noise-aware
algorithms are stable in the sense that the reconstruction degrades
gracefully as the signal-to-noise ratio decreases. Finally, we present
some novel theory showing that our entire approach may be provably
surprisingly effective.
Refreshments will be served in 1015 Evans, 3:00-4:00pm