BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251008T145145EDT-2203N88U6P@132.216.98.100 DTSTAMP:20251008T185145Z DESCRIPTION:Title: Twice Epi-Differentiability: Theory and Applications\n\n Abstract :\n\nIn this talk\, we discuss various aspects of twice epi-diffe rentiablity of extended-real-valued functions and demonstrate how it can b e leveraged to study the local convergence analysis of the augmented Lagra ngian method for composite optimization problems. We begin with presenting the history of twice epi-differentiablity and proceed with its evolution in the last three decades. In particular\, we demonstrate that this proper ty often holds for various classes of functions\, commonly seen in applica tions to optimization problems. If time allows\, we will discuss further a pplications of this concept in stability properties of generalized equatio ns and show that it can be used to achieve a simple characterization of co ntinuous differentiability of the proximal mapping for a large class of fu nctions\, called C^2-decomposable.\n DTSTART:20240325T200000Z DTEND:20240325T210000Z LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Ebrahim Sarabi (Miami University) URL:/mathstat/channels/event/ebrahim-sarabi-miami-univ ersity-355922 END:VEVENT END:VCALENDAR