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Dept. of Mathematical and Statistical Sciences Fall 2022 Seminar Series Presents

 

Dr. Jon Lee
University of Michigan

 

WHEN: Monday August 15th, 2022, from 11:00am to noon

 

TITLE: On Gaining or Losing Perspective over Simplices

 

ABSTRACT: For a convex function f on a convex domain P in R^d, perspectivization provides the tightest convexification for the disjunction of (0,0,0) and {(1,x,f(x)) : x in P}. But perspectivization leads to the use of conic solvers for reliability, while conic solvers have some shortcomings. Using d-dimensional volume as a measure of looseness, following up on work of Lee, Skipper and Speakman for d=1, but now considering the case where P is a simplex of d>1, we investigate some lighter relaxations with an eye toward understanding when they are tight enough.

 

ATTENDING: Everyone is welcome to join the seminar. Seminar will be in-person. Student Commons Building 4125.

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