1978 nemirovski 2004 in the context of optimization these problems have generally been studied in the setting of constrained convex optimization bertsekas 2014 results beyond convex concave setting are much more recent rafique et al 2018 nouiehed et al 2019 consider nonconvex but concave minimax. Non convex optimization is now ubiquitous in machine learning while previously the focus was on convex relaxation methods now the emphasis is on being able to solve non convex problems directly it is not possible to find the global optimum of. Contribution this paper introduces the first distributed best response based algorithmic framework with provable con vergence for the nonconvex multi agent optimization in the general form 1 the crux of the framework is a novel convexification decomposition technique that hinges on our recent primal successive convex approximation sca. Suvrit sra mlmitedu trends in nonconvex optimization simons inst berkeley nonconvex problems are 2 nonconvex optimization problem with simple constraints question is global min of this problem 0 or not does there exist a subset of that sums to a. This contributed volume consists of selected contributions from the advanced training programme on nonconvex optimization and its applications held at banaras hindu university in march 2009 it aims to bring together new concepts theoretical developments and applications from these researchers
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