Abstract:In many applications, nodes in a network wish to achieve not only a consensus, but an optimal one. To date, a family of subgradient algorithms have been proposed to solve this problem under general convexity assumptions. This paper shows that, with a few additional mild assumptions, a fundamentally different, non-gradient-based algorithm with appealing features can be constructed. Specifically, we develop Pairwise Equalizing (PE), a gossip-style, distributed asynchronous iterative algorithm for achieving uncon… Show more
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