On Nonconvex Optimization Problems with D.C. Equality and Inequality Constraints
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DOI: 10.1016/j.ifacol.2018.11.431
Abstract: Abstract The paper addresses the nonconvex nonsmooth optimization problem with the cost function and equality and inequality constraints given by d.c. functions. The original problem is reduced to a problem without constraints with the help… read more here.
Keywords: inequality constraints; nonconvex optimization; problem; equality inequality ... See more keywords
A Primal-Dual SGD Algorithm for Distributed Nonconvex Optimization
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DOI: 10.1109/jas.2022.105554
Abstract: The distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of $n$ local cost functions by using local information exchange is considered. This problem is an important component of many… read more here.
Keywords: distributed nonconvex; primal dual; nonconvex optimization; algorithm ... See more keywords
Linear Convergence of First- and Zeroth-Order Primal-Dual Algorithms for Distributed Nonconvex Optimization
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2021.3108501
Abstract: This paper considers the distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of local cost functions by using local information exchange. We first propose a distributed first-order primal-dual algorithm.… read more here.
Keywords: distributed nonconvex; order; optimization; order primal ... See more keywords
Distributed Global Optimization for a Class of Nonconvex Optimization With Coupled Constraints
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DOI: 10.1109/tac.2021.3115430
Abstract: This article examines the distributed nonconvex optimization problem with structured nonconvex objective functions and coupled convex inequality constraints on static networks. A distributed continuous-time primal-dual algorithm is proposed to solve the problem. We use the… read more here.
Keywords: problem; optimization class; nonconvex optimization; distributed global ... See more keywords
Metalearning-Based Alternating Minimization Algorithm for Nonconvex Optimization.
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DOI: 10.1109/tnnls.2022.3165627
Abstract: In this article, we propose a novel solution for nonconvex problems of multiple variables, especially for those typically solved by an alternating minimization (AM) strategy that splits the original optimization problem into a set of… read more here.
Keywords: problem; based alternating; minimization; nonconvex optimization ... See more keywords
A Robust Coevolutionary Neural-Based Optimization Algorithm for Constrained Nonconvex Optimization.
Sign Up to like & getrecommendations! Published in 2022 at "IEEE transactions on neural networks and learning systems"
DOI: 10.1109/tnnls.2022.3220806
Abstract: For nonconvex optimization problems, a routine is to assume that there is no perturbation when executing the solution task. Nevertheless, dealing with the perturbation in advance may increase the burden on the system and take… read more here.
Keywords: robust coevolutionary; nonconvex optimization; coevolutionary neural; neural based ... See more keywords
Parallel and Distributed Methods for Constrained Nonconvex Optimization—Part I: Theory
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DOI: 10.1109/tsp.2016.2637317
Abstract: In this two-part paper, we propose a general algorithmic framework for the minimization of a nonconvex smooth function subject to nonconvex smooth constraints, and also consider extensions to some structured, nonsmooth problems. The algorithm solves… read more here.
Keywords: part; parallel distributed; methods constrained; optimization ... See more keywords
On asymptotic Lagrangian duality for nonsmooth optimization
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DOI: 10.21914/anziamj.v58i0.11874
Abstract: Zero duality gap for nonconvex optimization problems requires the use of a generalized Lagrangian function in the definition of the dual problem. We analyze the situation in which the original problem is associated with a… read more here.
Keywords: duality; burachik; optimization; doi 1007 ... See more keywords