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PRODID:-//Virginia Tech//VT Calendar//EN
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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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