Joint ACO/OR Seminar - Semi-algebraic optimization theory

Series
Other Talks
Time
Tuesday, April 6, 2010 - 11:00am for 1 hour (actually 50 minutes)
Location
ISyE Executive Classroom
Speaker
Adrian Lewis – School of Operations Research and Information, Cornell University
Organizer
Annette Rohrs
Concrete optimization problems, while often nonsmooth, are not pathologically so. The class of "semi-algebraic" sets and functions - those arising from polynomial inequalities - nicely exemplifies nonsmoothness in practice. Semi-algebraic sets (and their generalizations) are common, easy to recognize, and richly structured, supporting powerful variational properties. In particular I will discuss a generic property of such sets - partial smoothness - and its relationship with a proximal algorithm for nonsmooth composite minimization, a versatile model for practical optimization.