ANALYSIS SEMINAR

• January 25, 2023
• 3:00 PM - 4:00 CST
• BVM506
• Tuyen Tran, ttran18@luc.edu
• Open to the public.
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  Speaker: Tuyen Tran - Loyola University Chicago

  Title: Minimizing Differences of Convex Functions with Applications to Clustering and Multifacility Location Problems

  Abstract: Convex optimization techniques have been the topic of extensive research for more than 50 years, but solving large-scale optimization problems without the presence of convexity remains a challenge. This motivates the search for new optimization methods that are capable of handling broader classes of functions and sets where convexity is not assumed. One successful approach to go beyond convexity is to consider the class of functions representable as differences of convex functions. This talk focuses on optimization methods for solving nonsmooth optimization problems in which the objective functions are not necessarily convex with applications to some clustering and multifacility problems. Our methods involve DC programming, Nesterov¿s smoothing technique, and a numerical algorithm for minimizing differences of convex functions to cope with the nonsmoothness and nonconvexity of these problems.