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DTSTAMP:20210311T203000Z
UID:1615300152164@events.msu.edu
CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20210311T203000Z
DTEND:20210311T213000Z
SUMMARY:Math Seminar Series
DESCRIPTION:
Applied Mathematics\n
\n
Jianfeng Cai, Hong Kong
University of Science and Technology, will be
speaking.\n
\n
The presentation title is "Landscape
analysis of non-convex optimizations in
phase retrieval."\n
\n
Contact Olga Turanova
(turanova@msu.edu) for more information.\n
\n
Non-convex
optimization is a ubiquitous tool in
scientific and engineering research. For many
important problems, simple non-convex optimization
algorithms often provide good solutions
efficiently and effectively, despite possible
local minima. One way to explain the success
of these algorithms is through the global
landscape analysis. In this talk, we present
some results along with this direction for
phase retrieval. The main results are, for several
of non-convex optimizations in phase retrieval,
a local minimum is also global and all
other critical points have a negative directional
curvature. The results not only explain
why simple non-convex algorithms usually find
a global minimizer for phase retrieval, but
also are useful for developing new efficient
algorithms with a theoretical guarantee by
applying algorithms that are guaranteed to find
a local minimum.\n\n
Price: free\n
Sponsor: Department of Mathematics\n
Sponsor's Homepage: https://www.math.msu.edu/\n
Contact name: Department of Mathematics\n
Contact phone: (517) 353-0844\n
for more info visit the web at:\n
https://www.math.msu.edu/Seminars/CalendarView.aspx?month-of=September2016\n
LOCATION:Online via Zoom
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