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Conjugated Gradient Trust Region Method Case 2

A second-derivative trust-region SQP method with a "trust-region-free" predictor step

A second-derivative trust-region SQP method with a "trust-region-free" predictor step

... the trust-region radii and for accepting or rejecting candidate steps is similar to traditional methods and based on the ratio r k of actual versus predicted decrease in ...predictor ...

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A trust region method for parabolic boundary control problems

A trust region method for parabolic boundary control problems

... In the context of this paper, in which global convergence is the issue, Algorithm pnstep presents two problems. Firstly, the smoothing step is a scaled gradient projection step and may lead to dramatic increases ...

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A nonmonotone trust-region method of conic model for unconstrained optimization

A nonmonotone trust-region method of conic model for unconstrained optimization

... the trust-region ...this case, conic model approximates the objective function better than a quadratic, because it has more freedom in the ...

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Trust Region Newton Method for Large-Scale Logistic Regression

Trust Region Newton Method for Large-Scale Logistic Regression

... training time. So we try four different C values: 0.25, 1, 4, and 16. Table 2 presents the result of comparisons. We show CV accuracy and the total training time in the CV procedure. On training time, TRON is ...

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Trust Region Newton Method for Large-Scale Logistic Regression

Trust Region Newton Method for Large-Scale Logistic Regression

... The main conjugate gradient operation (7) involves two matrix-vector products—one is with X T , and the other is with X . In using the column format, there are ways so that for both operations, sequentially X ’s ...

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CiteSeerX — A 2-BFGS updating in a trust region framework

CiteSeerX — A 2-BFGS updating in a trust region framework

... 1, 2, where m is the number of the vector pairs that is used for updating B k ...L-BFGS method is particularly suited for large scale problems since the storage of matrices is ...the method of ...

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A trust region spectral method for large scale systems of nonlinear equations

A trust region spectral method for large scale systems of nonlinear equations

... spectral gradient method is one of the most effective methods for solving large-scale systems of nonlinear ...new trust region spectral method without ...The trust region ...

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A globally convergent filter-trust-region method for large deformation contact problems

A globally convergent filter-trust-region method for large deformation contact problems

... the method to apply it to contact problems stay within the realm of the general filter--trust-region convergence theory, and hence we obtain global convergence of the method to first-order ...

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Trust-Region Methods Without Using Derivatives: Worst Case Complexity and the NonSmooth Case

Trust-Region Methods Without Using Derivatives: Worst Case Complexity and the NonSmooth Case

... smoothing trust-region approach of Section 4, we proceed by showing that the gradient of the objective function is of the order of the trust- region radius whenever this one is ...

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Conjugate Gradient Method Numerical Example

Conjugate Gradient Method Numerical Example

... conjugate gradient method without numerical example: from rnns have ...each trust region, this method is also called the restricted step ...conjugate gradient. The rate of ...

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Trust-Region Methods without using Derivatives: Worst-Case Complexity  and the Non-Smooth Case

Trust-Region Methods without using Derivatives: Worst-Case Complexity and the Non-Smooth Case

... to trust-region ...Nelder-Mead method [51]) but most of the existing ones are directional ...a region of interest to define a new iterate if significant decrease is ...+ 2)/2, ...

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Trust Region Evolution Strategies

Trust Region Evolution Strategies

... such method is to use extra surrogate gradient infor- mation (directions that may be correlated with, but not nec- essarily identical to, the true gradient) along with ES random ...

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A Multi-Beam Model of Antenna Array Pattern Synthesis Based on Conic Trust Region Method

A Multi-Beam Model of Antenna Array Pattern Synthesis Based on Conic Trust Region Method

... Although array pattern synthesis problems have been extensively investigated over the last several decades [1–9], most of them are single-beam methods, and very few focus on multi-beam case [10, 11]. A multi-beam ...

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Research on the Dual Problem of Trust Region Bundle Method

Research on the Dual Problem of Trust Region Bundle Method

... Authors’ contributions This work was carried out in collaboration by both authors. Author YLG designed the study, optimized the method, and wrote the first draft of the manuscript. Author JS proposed the concerned ...

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A Nonmonotone Trust Region Method for Nonsmooth Composite Programming Problems

A Nonmonotone Trust Region Method for Nonsmooth Composite Programming Problems

... a trust region method for this class of problems and also provided the convergence analysis to support their ...nonmonotone trust region algorithm for this class of nonsmooth composite ...

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Alternating direction method of multipliers for the extended trust region subproblem

Alternating direction method of multipliers for the extended trust region subproblem

... extended trust region subproblem has been the focus of several research ...direction method of multipliers (ADMM) to solve ...the method for solving large scale problems is shown by solving ...

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Applying the weighted horizontal magnetic gradient method to a simulated flaring Active Region

Applying the weighted horizontal magnetic gradient method to a simulated flaring Active Region

... Abstract Here, we test the weighted horizontal magnetic gradient (WG M ) as a flare precursor, introduced by Korsós et al., by applying it to a magnetohydrodynamic (MHD) simulation of solar-like flares. The preflare ...

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General Proximal Gradient Method: A Case for Non-Euclidean Norms

General Proximal Gradient Method: A Case for Non-Euclidean Norms

... ` 2 G is compensated by a better convergence rate, we compare the performance of FISTA to ` ∞ -accGPM on a synthetic learning problem, where the true vector x \ is given by the union of s = 2 randomly ...

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A Riemannian trust region method for the canonical tensor rank approximation problem

A Riemannian trust region method for the canonical tensor rank approximation problem

... Breiding and V (2017c), A Riemannian trust region method for the canonical tensor rank approximation problem , 2017.. (Submitted)..[r] ...

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A Nonmonotone trust region method with adaptive radius for unconstrained optimization problems

A Nonmonotone trust region method with adaptive radius for unconstrained optimization problems

... new method has the best ...new method is considerably less than the other nonmonotone trust region ...new method is more efficient than the other nonmonotone trust region ...

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