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Non-Convex Distributed Optimization [PDF]

open access: yesIEEE Transactions on Automatic Control, 2017
We study distributed non-convex optimization on a time-varying multi-agent network. Each node has access to its own smooth local cost function, and the collective goal is to minimize the sum of these functions. We generalize the results obtained previously to the case of non-convex functions. Under some additional technical assumptions on the gradients
Tatiana Tatarenko, Behrouz Touri
exaly   +3 more sources
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Pareto Optimality in Non-Convex Economies

Econometrica, 1975
This article uses the concept of "cone of interior displacements," which extends the notion of differentiability, to set up a characterization of Pareto optima in non-convex economies. A general theorem asserting that a Pareto optimum is a PA equilibrium is given and specifications are discussed.
openaire   +2 more sources

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