BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250916T022555EDT-8190a2jZjC@132.216.98.100 DTSTAMP:20250916T062555Z DESCRIPTION:Title: Optimal approximation for unconstrained non-submodular m inimizationOptimal approximation for unconstrained non-submodular minimiza tion\n\nAbstract:Submodular function minimization is well studied\, and ex isting algorithms solve it exactly or up to arbitrary accuracy. However\, in many applications\, such as structured sparse learning or batch Bayesia n optimization\, the objective function is not exactly submodular\, but cl ose. In this case\, no theoretical guarantees exist. Indeed\, submodular m inimization algorithms rely on intricate connections between submodularity and convexity. We show how these relations can be extended to obtain appr oximation guarantees for minimizing non-submodular functions\, characteriz ed by how close the function is to submodular. We also extend this result to noisy function evaluations. Our approximation results are the first for minimizing non-submodular functions\, and are optimal\, as established by our matching lower bound.\n\n \n\nFor Zoom meeting information please con tact tim.hoheisel [at] mcgill.ca\n DTSTART:20210208T210000Z DTEND:20210208T220000Z SUMMARY:Marwa El Halabi\, MILA URL:/mathstat/channels/event/marwa-el-halabi-mila-3279 57 END:VEVENT END:VCALENDAR