Regularization Proximal Method for Monotone Variational Inclusions
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DOI: 10.1007/s11067-021-09552-7
Abstract: The paper concerns with a new iterative method for solving a monotone variational inclusion problem in a Hilbert space. The method is of the proximal contraction type incorporated with the regularization technique. Under the prediction… read more here.
Keywords: proximal method; regularization proximal; method monotone; method ... See more keywords
A proximal method for equilibrium problems under growth conditions
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DOI: 10.1007/s13370-016-0474-4
Abstract: Inspired by some growth conditions used in convex and nonconvex optimization and given a bifunction defined on a nonempty closed subset of a real Hilbert space, we design a Proximal Point Method for finding its… read more here.
Keywords: problems growth; method equilibrium; growth conditions; equilibrium problems ... See more keywords
The rate of convergence of proximal method of multipliers for nonlinear programming
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DOI: 10.1080/10556788.2020.1738435
Abstract: We analyze the rate of convergence of the proximal method of multipliers for non-convex nonlinear programming problems. First, we prove, under the strict complementarity condition, that the rate of convergence of the proximal method of… read more here.
Keywords: rate convergence; method multipliers; proximal method; convergence proximal ... See more keywords
A Stochastic Second-Order Proximal Method for Distributed Optimization
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DOI: 10.1109/lcsys.2023.3244740
Abstract: We propose a distributed stochastic second-order proximal (St-SoPro) method that enables agents in a network to cooperatively minimize the sum of their local loss functions without any centralized coordination. St-SoPro incorporates a decentralized second-order approximation… read more here.
Keywords: stochastic second; order proximal; proximal method; second order ... See more keywords
Lagrangian Relaxation With Incremental Proximal Method for Economic Dispatch With Large Numbers of Wind Power Scenarios
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DOI: 10.1109/tpwrs.2019.2891227
Abstract: Scenario-based approaches have been widely employed in stochastic economic dispatch with wind power integration. However, due to computational limitations, the number of wind power scenarios usually need to be reduced to a small subset of… read more here.
Keywords: economic dispatch; power; proximal method; dispatch ... See more keywords
An Adaptive Proximal Method for Variational Inequalities
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DOI: 10.1134/s0965542519050075
Abstract: A novel analog of Nemirovski’s proximal mirror method with an adaptive choice of constants in the minimized prox-mappings at each iteration for variational inequalities with a Lipschitz continuous field is proposed. Estimates of the number… read more here.
Keywords: variational inequalities; field; method; proximal method ... See more keywords