Results 21 to 30 of about 245,277 (249)

The Alternating Direction Search Pattern Method for Solving Constrained Nonlinear Optimization Problems

open access: yesMathematics, 2023
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
doaj   +1 more source

Parallel and distributed Machine Learning on Augmented Lagrangian Algorithms [PDF]

open access: yesInternational Journal of Electronics and Telecommunications
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
doaj   +1 more source

Lagrange optimality system for a class of nonsmooth convex optimization [PDF]

open access: yes, 2015
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
core   +2 more sources

A Modified Augmented Lagrange Multiplier Method for Non-Linear Programming [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2013
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
doaj   +1 more source

Incremental Reduced Lagrangian Asymmetric ν-Twin Support Vector Regression [PDF]

open access: yesJisuanji kexue yu tansuo, 2023
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
doaj   +1 more source

A Distributed Augmented Lagrangian Method Over Stochastic Networks for Economic Dispatch of Large-Scale Energy Systems

open access: yesIEEE Transactions on Sustainable Energy, 2021
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]

open access: yes, 2018
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
core   +3 more sources

A New Augmented Lagrangian Method for Equality Constrained Optimization with Simple Unconstrained Subproblem

open access: yesDiscrete Dynamics in Nature and Society, 2017
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
doaj   +1 more source

The Variable Projected Augmented Lagrangian Method

open access: yes, 2022
26 pages, 15 ...
Chung, Matthias, Renaut, Rosemary
openaire   +2 more sources

Parallel MR Image Reconstruction Using Augmented Lagrangian Methods [PDF]

open access: yesIEEE Transactions on Medical Imaging, 2011
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.
openaire   +3 more sources

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