Augmented Lagrangian Method
Smoothing augmented Lagrangian method for nonsmooth constrained optimization problems
... Abstract. In this paper, we propose a smoothing augmented Lagrangian method for finding a stationary point of a nonsmooth and nonconvex optimization problem. We show that any accumulation point of ...
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An accelerated proximal augmented Lagrangian method and its application in compressive sensing
... first-order method, the augmented Lagrangian method (ALM) is a benchmark solver for linearly constrained convex programming, and in practice some semi-definite proximal terms are often added to ...
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Augmented Lagrangian method for image restoration with spatially adapted parameter selection
... the augmented Lagrangian ...our method outperforms some existing restoration methods in terms of the Peak-Signal-to-Noise Ratio (PSNR) and Structural SIMilarity (SSIM) ...the augmented ...
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A Two-Phase Augmented Lagrangian Method For Convex Composite Quadratic Programming
... In Phase II, in order to obtain more accurate solutions efficiently, we studied the inexact proximal augmented Lagrangian method (pALM). We establish the global convergence of our proposed algorithm ...
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Variational SAR Image Segmentation Based on the G0 Model and an Augmented Lagrangian Method
... School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, China Abstract—This paper present a fast algorithm for synthetic aperture radar (SAR) image segmentation based on the ...
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Augmented Lagrangian Method for Finding Minimum Norm Solution to the Absolute Value Equation
... In this paper, we give an algorithm to compute the minimum 1-norm solution to the absolute value equation (AVE). The augmented Lagrangian method is investigated for solving this problem. This ...
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A hybrid differential evolution augmented Lagrangian method for constrained numerical and engineering optimization
... the augmented Lagrangian function in the sec- ond ...this method, the Lagrangian multiplier is updated using the first-order update scheme applied frequently in the de- terministic ...
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Solving the OSCAR and SLOPE Models Using a Semismooth Newton-Based Augmented Lagrangian Method
... based augmented Lagrangian method to solve the more general SLOPE (the sorted L-one penalized estimation) ...the augmented Lagrangian subproblem, we show how the computational ...
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A well-balanced finite volume-augmented Lagrangian method for an integrated Herschel-Bulkley model
... volume/augmented Lagrangian method with well- balanced property is proposed to solve the model and illustrated in the one-dimensional- in-space ...the method to compute stationary states, ...
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Solving Environmental/Economic Power Dispatch Problem by a Trust Region Based Augmented Lagrangian Method
... Based Augmented Lagrangian Method ...Based Augmented Method (TRALM) to solve a combined Environmental and Economic Power Dispatch (EEPD) ...
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A parallelizable augmented Lagrangian method applied to large-scale non-convex-constrained optimization problems
... AL method, we include reference to [17, 19], where the research goal of developing implementable approximation criteria is ...separable augmented Lagrangian (SALA) method [28], which is an ...
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Modified hybrid decomposition of the augmented Lagrangian method with larger step size for three block separable convex programming
... the augmented Lagrangian method (FJD-ALM) [12] and the proximal partially parallel splitting method with constant step size (PPPSM) ...
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THE classical image denoising problem is that, given a. Restricted Linearized Augmented Lagrangian Method for Euler s Elastica Model
... conventional augmented Lagrangian formulation for solving the Euler’s elastica ...restricted augmented Lagrangian method (RALM), which enjoys easier parameter tuning, faster ...
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A Subproblem Algorithm for the Adaptive Augmented Lagrangian Method
... CG method that estimates the optimal active ...CG method we proposed can change the active set estimates rapidly between iterations; it makes finding the optimal estimate, and then a solution, quickly, even ...
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An augmented Lagrangian method for the Signorini boundary value problem with BEM
... point method, we can easily apply this algorithm to the Signorini boundary value problems defined in domains of arbitrary ...Newton method is used to find the ...
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A new criterion for an inexact parallel splitting augmented Lagrangian method
... 6 Conclusions In this paper, we study an inexact criterion for solving the convex problems and variational inequalities with separable structures. Based on the prediction-correction approach, two correction forms were ...
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On the convergence of augmented Lagrangian method for optimal transport between nonnegative densities
... 1 Introduction The optimal transport problem is generally formulated as follows: considering two sets of particles or probability measures, find the allocation between those discrete or continuous objects while ...
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A new parallel splitting augmented Lagrangian based method for a Stackelberg game
... θ (x ) ≥ , ∀ x ∈ S, (.) where S = {(x , x , x )|B x + B x + B x = d, x ≥ , x ≥ , x ≥ }. In order to show the efficiency and effectiveness of our algorithm, we conduct numer- ical ...
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An augmented Lagrangian approach to Wasserstein gradient flows and applications
... Abstract. Taking advantage of the Benamou-Brenier dynamic formulation of optimal transport, we propose a convex formulation for each step of the JKO scheme for Wasserstein gradient flows which can be attacked by an ...
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Nondifferentiable Augmented Lagrangian, $\epsilon$-Proximal penalty methods and Applications
... The augmented Lagrangian method can be considered as an improvement of the penalty methods, because it avoids having to use coefficients of penalties too ...
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