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Online Distributed Optimization With Nonconvex Objective Functions: Sublinearity of First-Order Optimality Condition-Based Regret

IEEE Transactions on Automatic Control, 2021
In this article, the problem of online distributed optimization with a set constraint is solved by employing a network of agents. Each agent only has access to a local objective function and set constraint, and can only communicate with its neighbors via
Kaihong Lu, Long Wang
semanticscholar   +1 more source

On Optimality Conditions in Quasidifferentiable Optimization

SIAM Journal on Control and Optimization, 1984
The paper is concerned with a class of quasidifferentiable functions in the sense of \textit{V. F. Demyanov} and \textit{A. M. Rubinov} [Dokl. Akad. Nauk SSSR 250, 21-25 (Russian) (1980; Zbl 0456.49016)]. Such functions are directionally differentiable and their directional derivatives are representable as a difference of two sublinear functions.
openaire   +2 more sources

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