### Sequential Minimum Energy Designs: From Nano Experiments to Global Optimization

- Series
- School of Mathematics Colloquium
- Time
- Thursday, April 14, 2011 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Jeff Wu – ISyE GATech

Motivated by a problem in the synthesis
of nanowires, a sequential space filling design, called Sequential
Minimum Energy Design (SMED), is proposed for exploring and searching
for the optimal conditions in complex black-box functions. The
SMED is a novel approach to generate designs that are model
independent, can quickly carve out regions with no observable
nanostructure morphology, allow for the exploration of complex
response surfaces, and can be used for sequential experimentation. It
can be viewed as a sequential design procedure for stochastic
functions and a global optimization procedure for
deterministic functions. The basic idea has been developed into an
implementable algorithm, and guidelines for choosing the parameters
of SMED have been proposed. Convergence of the algorithm has been
established under certain regularity conditions. Performance of the
algorithm has been studied using experimental data on nanowire
synthesis as well as standard test functions.(Joint
work with V. R. Joseph, Georgia Tech and T. Dasgupta, Harvard U.)