Applications and Recent Developments of Multilevel Optimization Framework (MG/OPT)
Zichao Di
Department of Mathematical Sciences, George Mason University
Tuesday, July 24, 2012 15:00-16:00,
Building 101, Lecture Room C
Gaithersburg
Tuesday, July 24, 2012 13:00-14:00,
Room 1-4058
Boulder
Abstract:
This talk will focus on recent progress related to the theory and
applications of the multilevel optimization approach MG/OPT. The intent
of MG/OPT is to use calculations on coarser levels to accelerate the
progress of the optimization on the finest level. Uniform convergence of
MG/OPT with respect to the problem size in an
unconstrained setting is shown for a particular type of vector
quantization problems based on centroidal Voronoi tessellations (CVTs).
Another problem to be addressed is the extension of the MG/OPT framework
to constrained problems which presents many challenges if taken in its
full generality. We will present the results of numerical
experiments for a set of constrained optimal control problems where the
newly developed constrained MG/OPT yields significant speedup comparing
to existing techniques.
Speaker Bio:
Zichao Di is a Ph.D candidate in mathematical science from George Mason
University and she is expected to graduate at spring 2013. She received
her B.S. in applied math from Dalian University of Technology (China) in
2008. Her research is in the area of optimization and numerical methods
with main focus on multigrid.
Presentation Slides: PDF
Contact: A. J. KearsleyNote: Visitors from outside NIST must contact
Cathy Graham; (301) 975-3668;
at least 24 hours in advance.
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