Results 21 to 30 of about 22,536 (196)
Fixed point quasiconvex subgradient method [PDF]
Constrained quasiconvex optimization problems appear in many fields, such as economics, engineering, and management science. In particular, fractional programming, which models ratio indicators such as the profit/cost ratio as fractional objective functions, is an important instance.
Kazuhiro Hishinuma, Hideaki Iiduka
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A Parallel Best-Response Algorithm with Exact Line Search for Nonconvex Sparsity-Regularized Rank Minimization [PDF]
In this paper, we propose a convergent parallel best-response algorithm with the exact line search for the nondifferentiable nonconvex sparsity-regularized rank minimization problem.
Pesavento, Marius, Yang, Yang
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For the purpose of this article, we introduce a modified form of a generalized system of variational inclusions, called the generalized system of modified variational inclusion problems (GSMVIP).
Araya Kheawborisut, Atid Kangtunyakarn
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A delayed subgradient method for nonsmooth convex-concave min–max optimization problems
In this paper, we aim to solve a convex-concave min–max optimization problem, where the convex-concave coupling function is nonsmooth in both variables.
Tipsuda Arunrat, Nimit Nimana
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Subgradient Techniques for Passivity Enforcement of Linear Device and Interconnect Macromodels [PDF]
This paper presents a class of nonsmooth convex optimization methods for the passivity enforcement of reduced-order macromodels of electrical interconnects, packages, and linear passive devices.
Calafiore, Giuseppe Carlo +2 more
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Relaxation Subgradient Algorithms with Machine Learning Procedures
In the modern digital economy, optimal decision support systems, as well as machine learning systems, are becoming an integral part of production processes.
Vladimir Krutikov +4 more
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In a real Hilbert space, let the VIP, GSVI, HVI, and CFPP denote a variational inequality problem, a general system of variational inequalities, a hierarchical variational inequality, and a common fixed-point problem of a countable family of uniformly ...
Lu-Chuan Ceng +2 more
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In this paper, we design two inertial-type subgradient extragradient algorithms with the linear-search process for resolving the two pseudomonotone variational inequality problems (VIPs) of and the common fixed point problem (CFPP) of finite Bregman ...
Cong-Shan Wang +5 more
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Clarke Subgradients of Stratifiable Functions [PDF]
We establish the following result: if the graph of a (nonsmooth) real-extended-valued function $f:\mathbb{R}^{n}\to \mathbb{R}\cup\{+\infty\}$ is closed and admits a Whitney stratification, then the norm of the gradient of $f$ at $x\in{dom}f$ relative to the stratum containing $x$ bounds from below all norms of Clarke subgradients of $f$ at $x$.
Bolte, Jérôme +3 more
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An introduction to non-smooth convex analysis via multiplicative derivative
In this study, *-directional derivative and *-subgradient are defined using the multiplicative derivative, making a new contribution to non-Newtonian calculus for use in non-smooth analysis.
Ali Hakan Tor
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