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We adopt the alternating direction search pattern method to solve the equality and inequality constrained nonlinear optimization problems. Firstly, a new augmented Lagrangian function with a nonlinear complementarity function is proposed to transform the
Aifen Feng +3 more
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Parallel and distributed Machine Learning on Augmented Lagrangian Algorithms [PDF]
Constrained optimization is central to large-scale machine learning, particularly in parallel and distributed environments. This paper presents a comprehensive study of augmented Lagrangian–based algorithms for such problems, including classical ...
Anthony Nwachukwu, Andrzej Karbowski
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Lagrange optimality system for a class of nonsmooth convex optimization [PDF]
In this paper, we revisit the augmented Lagrangian method for a class of nonsmooth convex optimization. We present the Lagrange optimality system of the augmented Lagrangian associated with the problems, and establish its connections with the standard ...
Jin, Bangti, Takeuchi, Tomoya
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A Modified Augmented Lagrange Multiplier Method for Non-Linear Programming [PDF]
In this paper, we have investigated a new algorithm which employs an Augmented Lagrangian Method (ALM). It overcomes many of the difficulties associated with the Penalty function method. The new incorporate algorithm has been proved very effective with
Abbas Al-Bayati, Eman Hamed
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Incremental Reduced Lagrangian Asymmetric ν-Twin Support Vector Regression [PDF]
Lagrangian asymmetric ν-twin support vector regression is a prediction algorithm with good generalization performance. However, it is unsuitable for the scenarios where the samples are provided incrementally.
ZHANG Shuaixin, GU Binjie, PAN Feng
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In this paper, we propose a distributed model predictive control (MPC) scheme for economic dispatch of energy systems with a large number of active components.
W. Ananduta +2 more
semanticscholar +1 more source
A Distributed Asynchronous Method of Multipliers for Constrained Nonconvex Optimization [PDF]
This paper presents a fully asynchronous and distributed approach for tackling optimization problems in which both the objective function and the constraints may be nonconvex.
Farina, Francesco +3 more
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We propose a new method for equality constrained optimization based on augmented Lagrangian method. We construct an unconstrained subproblem by adding an adaptive quadratic term to the quadratic model of augmented Lagrangian function.
Hao Zhang, Qin Ni
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The Variable Projected Augmented Lagrangian Method
26 pages, 15 ...
Chung, Matthias, Renaut, Rosemary
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Parallel MR Image Reconstruction Using Augmented Lagrangian Methods [PDF]
Magnetic resonance image (MRI) reconstruction using SENSitivity Encoding (SENSE) requires regularization to suppress noise and aliasing effects. Edge-preserving and sparsity-based regularization criteria can improve image quality, but they demand computation-intensive nonlinear optimization.
Ramani, Sathish, Fessler, Jeffrey A.
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