08:30 AM - 09:30 AM
Asynchronous parallel algorithms for the minimization of nonsmooth, nonconvex functions
We present recent advancements in the field of asynchronous parallel methods for the minimization of the sum of a differentiable function and a possibly nonsmooth, convex regularizer subject to constraints. In recent years, problems of this kind have played an important role in many applicative fields and instances of ever increasing dimensions need to be solved. Asynchronous methods play a key role in the solution of these large problems. After reviewing recent results in the field, we discuss, in particular, a rather general framework along with its main convergence properties and report numerical results.