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Published in 2017 at "Circuits, Systems, and Signal Processing"
DOI: 10.1007/s00034-016-0299-2
Abstract: Developed in recent years, compressed sensing (CS) has saved considerable data storage and time in signal acquisition and processing, drawing the attention of many scholars in various fields. At present, a key issue is the…
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Keywords:
compressed sensing;
trust region;
region method;
convex optimization ... See more keywords
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Published in 2020 at "Soft Computing"
DOI: 10.1007/s00500-019-04189-8
Abstract: In this paper, we present a one-layer recurrent neural network (NN) for solving convex optimization problems by using the Mangasarian and Solodov (MS) implicit Lagrangian function. In this paper by using Krush–Kuhn–Tucker conditions and MS…
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Keywords:
convex optimization;
neural network;
problem;
optimization problems ... See more keywords
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Published in 2019 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-019-01542-7
Abstract: AbstractTwo characteristics that make convex decomposition algorithms attractive are simplicity of operations and generation of parallelizable structures. In principle, these schemes require that all coordinates update at the same time, i.e., they are synchronous by…
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Keywords:
iteration;
convex optimization;
asynchronous forward;
optimization ... See more keywords
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Published in 2017 at "Optimization Letters"
DOI: 10.1007/s11590-016-1067-8
Abstract: This paper devotes to the quasi $$\epsilon $$ϵ-solution (one sort of approximate solutions) for a robust convex optimization problem in the face of data uncertainty. Using robust optimization approach (worst-case approach), we establish approximate optimality…
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Keywords:
convex optimization;
quasi epsilon;
robust convex;
optimization ... See more keywords
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Published in 2020 at "Optimization Letters"
DOI: 10.1007/s11590-019-01437-6
Abstract: A fractional differential equation (FDE) based algorithm for convex optimization is presented in this paper, which generalizes ordinary differential equation (ODE) based algorithm by providing an additional tunable parameter $$\alpha \in (0,1]$$ α ∈ (…
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Keywords:
convex optimization;
fractional differential;
convergence;
differential equation ... See more keywords
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Published in 2021 at "Optimization Letters"
DOI: 10.1007/s11590-021-01728-x
Abstract: This paper considers a general convex constrained problem setting where functions are not assumed to be differentiable nor Lipschitz continuous. Our motivation is in finding a simple first-order method for solving a wide range of…
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Keywords:
convex optimization;
optimization;
dual subgradient;
primal dual ... See more keywords
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Published in 2017 at "Journal of Forestry Research"
DOI: 10.1007/s11676-017-0572-7
Abstract: Detection of wood plate surface defects using image processing is a complicated problem in the forest industry as the image of the wood surface contains different kinds of defects. In order to obtain complete defect…
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Keywords:
image;
plate surface;
wood plate;
convex optimization ... See more keywords
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Published in 2017 at "International Journal of Control, Automation and Systems"
DOI: 10.1007/s12555-015-0129-5
Abstract: This paper proposes an optimization-based planning framework for target tracking of a planar vehicle in the presence of some moving obstacles and uncertainty resources. The framework is modeled based on Linear-Time Varying Model Predictive Control…
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Keywords:
convex optimization;
uncertainty;
control;
vehicle ... See more keywords
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Published in 2021 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2020.09.016
Abstract: Abstract A classical approach to solving two-block separable convex optimization could be the symmetric alternating direction method of multipliers (S-ADMM). However, its convergence may not be guaranteed for a general multi-block case without additional assumptions.…
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Keywords:
convex optimization;
admm;
proximal admm;
separable convex ... See more keywords
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Published in 2020 at "Neurocomputing"
DOI: 10.1016/j.neucom.2020.06.051
Abstract: Abstract Time-varying convex optimization problems have attracted a great deal of attention in many fields due to its widespread application. Particularly, the approach to time-varying convex optimization problems with equality and affine inequality constraints simultaneously…
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Keywords:
varying convex;
convex optimization;
time varying;
time ... See more keywords
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Published in 2020 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2020.1845730
Abstract: Abstract The aim of this manuscript is to approach by means of first order differential equations/inclusions convex programming problems with two-block separable linear constraints and objectives, whereby (at least) one of the components of the…
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Keywords:
block;
convex optimization;
linear constraints;
optimization ... See more keywords