Accelerating Multidimensional NMR Spectroscopy by Compressed Sensing of Hypercomplex FTs

David L. Donoho - SPECIAL GUEST LECTURE - Note unusual hour

Sunday, 11.06.2017, 13:30

Room 337 Taub Bld.

Multidimensional NMR (MDNMR) experiments are an important tool in
physical chemistry,but can take a long time, in some cases weeks, to
conduct. At first glance, the application looks ideal for compressed
sensing because the object to be recovered is sparse and the
under-sampled measurements are made in the 'Fourier' domain.
Actually, MDNMR is not covered by the existing compressed sensing
literature. First the 'Fourier' domain is not the classical one, but
involves the so-called hypercomplex Fourier transform. Second, random
undersampling is not a really sensible option, because of the structure
of the actual experiment.
In this talk I will review this background and review recent work with
Hatef Monajemi, Jeffrey Hoch and Adam Schuyler, where we find that the
now traditional structures -- for example Gaussian phase transitions,
which are thought to be universal -- don't accurately describe the
sparsity-undersampling relation. I will give an accurate description
with we think novel and interesting structure.
Short Bio:
==========
David Leigh Donoho is a professor of statistics at Stanford University,
where he is also the Anne T. and Robert M. Bass Professor in the Humanities
and Sciences. His work includes the development of effective methods for the
construction of low-dimensional representations for high-dimensional data problems
(multiscale geometric analysis), developments of wavelets for de-noising and
compressed sensing.
Donoho did his undergraduate studies at Princeton University, graduating in 1978.
His undergraduate thesis advisor was John W. Tukey. Donoho obtained his Ph.D.
from Harvard University in 1983, under the supervision of Peter J. Huber.
He was on the faculty of the University of California, Berkeley from 1984 to 1990
before moving to Stanford. He has been the Ph.D. advisor of at least 20 doctoral
students, including Jianqing Fan and Emmanuel Candes.
In 1991, Donoho was named a MacArthur Fellow. He was elected a Fellow of the American
Academy of Arts and Sciences in 1992. He was the winner of the COPSS Presidents' Award
in 1994. In 2001, he won the John von Neumann Prize of the Society for Industrial and
Applied MathematicsIn 2002, he was appointed to the Bass professorship. He was elected
a SIAM Fellow and a foreign associate of the French Academie des Sciences in 2009, and
in the same year received an honorary doctorate from the University of Chicago. In 2010
he won the Norbert Wiener Prize in Applied Mathematics, given jointly by SIAM and the
American Mathematical Society. He is also a member of the United States National Academy
of Science. In 2012 he became a fellow of the American Mathematical Society. In 2013 he
was awarded the Shaw Prize for Mathematics. In 2016, he was awarded an honorary degree
at the University of Waterloo.
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Refreshments will be served from 13:15
Lecture starts at 13:30