Global convergence of splitting methods for nonconvex composite optimization

3 Jul 2014Guoyin LiTing Kei Pong

We consider the problem of minimizing the sum of a smooth function $h$ with a bounded Hessian, and a nonsmooth function. We assume that the latter function is a composition of a proper closed function $P$ and a surjective linear map $\cal M$, with the proximal mappings of $\tau P$, $\tau > 0$, simple to compute... (read more)

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