Compressed Sensing Based on Trust Region Method
Sign Up to like & getrecommendations! 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… read more here.
Keywords: compressed sensing; trust region; region method; convex optimization ... See more keywords
Performance enhancement of Gauss-Newton trust-region solver for distributed Gauss-Newton optimization method
Sign Up to like & getrecommendations! Published in 2019 at "Computational Geosciences"
DOI: 10.1007/s10596-019-09830-x
Abstract: Distributed Gauss-Newton (DGN) optimization method has been proved very efficient and robust for history matching and uncertainty quantification (HM&UQ). The major bottleneck for performance enhancement is the expensive computational cost of solving hundreds of Gauss-Newton… read more here.
Keywords: method; gntr; trust region; optimization ... See more keywords
Cubic-regularization counterpart of a variable-norm trust-region method for unconstrained minimization
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Global Optimization"
DOI: 10.1007/s10898-016-0475-8
Abstract: In a recent paper, we introduced a trust-region method with variable norms for unconstrained minimization, we proved standard asymptotic convergence results, and we discussed the impact of this method in global optimization. Here we will… read more here.
Keywords: cubic regularization; unconstrained minimization; method; trust region ... See more keywords
An Alternating Trust Region Algorithm for Distributed Linearly Constrained Nonlinear Programs, Application to the Optimal Power Flow Problem
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-015-0853-2
Abstract: A novel trust region method for solving linearly constrained nonlinear programs is presented. The proposed technique is amenable to a distributed implementation, as its salient ingredient is an alternating projected gradient sweep in place of the Cauchy… read more here.
Keywords: nonlinear programs; linearly constrained; trust region; optimal power ... See more keywords
Two accelerated nonmonotone adaptive trust region line search methods
Sign Up to like & getrecommendations! Published in 2017 at "Numerical Algorithms"
DOI: 10.1007/s11075-017-0406-x
Abstract: Hybridizing monotone and nonmonotone approaches, we employ a modified trust region ratio in which more information is provided about the agreement between the exact and the approximate models. Also, we use an adaptive trust region… read more here.
Keywords: adaptive trust; trust region; two accelerated; line search ... See more keywords
Continuation Newton methods with the residual trust-region time-stepping scheme for nonlinear equations
Sign Up to like & getrecommendations! Published in 2021 at "Numerical Algorithms"
DOI: 10.1007/s11075-021-01112-x
Abstract: For nonlinear equations, the homotopy methods (continuation methods) are popular in engineering fields since their convergence regions are large and they are quite reliable to find a solution. The disadvantage of the classical homotopy methods… read more here.
Keywords: time; continuation newton; nonlinear equations; residual trust ... See more keywords
Concise complexity analyses for trust region methods
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DOI: 10.1007/s11590-018-1286-2
Abstract: Concise complexity analyses are presented for simple trust region algorithms for solving unconstrained optimization problems. In contrast to a traditional trust region algorithm, the algorithms considered in this paper require certain control over the choice… read more here.
Keywords: analyses trust; trust region; complexity analyses; concise complexity ... See more keywords
Globally solving extended trust region subproblems with two intersecting cuts
Sign Up to like & getrecommendations! Published in 2020 at "Optimization Letters"
DOI: 10.1007/s11590-019-01484-z
Abstract: In this paper, we propose an algorithm to globally solve the extended trust-region subproblem with two linear intersecting cuts. Based on the tightness of the linear cuts at optimal solution, we can resolve the original… read more here.
Keywords: intersecting cuts; extended trust; globally solving; trust ... See more keywords
A modified nonmonotone trust region line search method
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-017-1113-4
Abstract: Hybridizing monotone and nonmonotone approaches, we propose a modified trust region ratio in which more reasonable information is provided about consistency between the exact and the approximate models. Also, we employ an Armijo-type line search… read more here.
Keywords: line search; trust region; modified nonmonotone; region ... See more keywords
Adaptive trust region scheme for multi-objective optimization problem using Geršgorin circle theorem
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-021-01602-0
Abstract: In this article, a trust region algorithm is proposed to solve multi-objective optimization problem. A sequence of points is generated using Gersgorin Circle theorem with a modified secant equation. This sequence converges to a critical… read more here.
Keywords: multi objective; trust; objective optimization; trust region ... See more keywords
System identification of an airship using trust region reflective least squares algorithm
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Control, Automation and Systems"
DOI: 10.1007/s12555-015-0409-0
Abstract: Lighter than air vehicles present feasible solutions to several problems in aviation industry. Dynamic modeling of airships, however, poses enhanced complexities due to the effects of buoyancy-based static lift and virtual mass and inertia. System… read more here.
Keywords: estimation; system identification; airship; trust region ... See more keywords