Hi Quanta
Today at 1:30 we have David Gross giving a talk in 6-310.
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.
Tomorrow Umesh is speaking at Microsoft Research. I believe it is at 3:00.
On Friday we will have our group meeting at 11:00 and Jeongwan will tell us about what he
has been doing.
Best,
Eddie
***********************************************
Edward Farhi
Cecil and Ida Green Professor of Physics
Director
Center for Theoretical Physics
Massachusetts Institute of Technology
6-300
Cambridge MA 02139
617 253 4871
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