May 2022

Moreau envelope of supremum functions with applications to stochastic programming

Tipo de Evento: Seminario
Organiza: Facultad de Ingeniería y Ciencias
Dónde: Vía Zoom y Edificio Talleres (sala 206)
Público: Abierto a todo público
Horario: 14:30:00 hr
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In this talk, we present results about the Moreau envelope of the supremum of a family of convex, proper, and lower semicontinuous functions. Under mild assumptions, we prove that the Moreau envelope of a supremum is the supremum of Moreau envelopes, which allows us to approximate possibly nonsmooth supremum functions by smooth functions that are also the suprema of functions. Consequently, we propose and study approximated optimization problems from stochastic programming, for which we obtain zero-duality gap results and optimality conditions without the verification of constraint qualification conditions.


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