| 日時:6月23日(木)15:00-16:30
場所:九州大学 伊都キャンパス ウェスト2号館 3階 大講義室(W2-313)
Speaker:Dr. Sebastian Pokutta (Georgia Institute of Technology)
Title: An introduction to Extended Formulations
- capturing the expressive power of LPs and SDPs
Abstract:
Linear and semidefinite programming are two core optimization
paradigms with many important applications in mathematics,
engineering, and business. However, the expressive power of these
modeling paradigms is only partially understood so far and extended
formulations are a powerful and natural tool to analyze the
possibilities and limitations of linear and semidefinite programming
formulations.
In this talk I will provide an overview of recent breakthrough
results in extended formulations, both in the linear and the
semidefinite setting, and lay out a reduction frameworks for
establishing upper and lower bounds for the size of exact and
approximate LP and SDP formulations. This framework allows for
surprisingly simple and convenient analyzes without relying on any
heavy machinery.
ホスト:来嶋(B01)
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