PS: I forgot to mention the time of David’s talk. Sorry. David will be speaking on
Wednesday July 23 at 1:30 pm.
Cyril
On Jul 21, 2014, at 11:17 AM, Cyril Stark <cyril(a)MIT.EDU> wrote:
Hi Everybody,
This Wednesday we have an exciting special seminar given by David Gross. Please find
title and abstract below. Note that David will be speaking in the seminar room 6-310
(6C-442 is not available). Hope to see you there.
Best,
Cyril
Title: Low-rank methods: From single pixel cameras to quantum state tomography
Abstract: Every time the release button of a digital camera is pressed, several megabytes
of raw data are recorded. But the size of a typical jpeg output file is only 10% of that.
What a waste! Can't we design a process which records only the relevant 10% of the
data to begin with? The theory of compressed sensing achieves this trick for sparse
signals. A basis-independent notion of "sparsity" for a matrix is its rank. One
is thus naturally led to the "low-rank matrix recovery" problem: can one
reconstruct an unknown low-rank matrix from few linear measurements? Applications can be
found in areas as diverse as face recognition, the analysis of x-ray diffraction images,
and quantum state estimation. I will give an introduction to this field and emphasize how
methods originally developed in quantum physics proved well-suited to the theory.
--
Cyril Stark
Center for Theoretical Physics
Massachusetts Institute of Technology
77 Massachusetts Ave, 6-304
Cambridge, MA 02139, USA
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