An Efficient Augmented Lagrangian Method for Statistical X-Ray CT Image Reconstruction. [PDF]
PLoS ONE, 2015 Statistical iterative reconstruction (SIR) for X-ray computed tomography (CT) under the penalized weighted least-squares criteria can yield significant gains over conventional analytical reconstruction from the noisy measurement.
Jiaojiao Li +8 more
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An accelerated proximal augmented Lagrangian method and its application in compressive sensing [PDF]
Journal of Inequalities and Applications, 2017 As a 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 its primal variable’s subproblem to make it more ...
Min Sun, Jing Liu
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Improving ultimate convergence of an augmented Lagrangian method [PDF]
Optimization Methods and Software, 2008 Optimization methods that employ the classical Powell-Hestenes-Rockafellar augmented Lagrangian are useful tools for solving nonlinear programming problems. Their reputation decreased in the last 10 years due to the comparative success of interior-point Newtonian algorithms, which are asymptotically faster.
E G Bırgın, J M Martinez
exaly +2 more sources
Augmented Lagrangian method for imposing nonlinear multi freedom constraints in static analysis for frames using FEM [PDF]
E3S Web of Conferences, 2021 This paper focuses on the treatment of nonlinear multi freedom constraints using an augmented Lagrangian method in finite element analysis of frames. The process of imposing boundary constraints is developed by changing the assembly stiffness equation to
Bich Quyen Vu Thi +3 more
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Pareto front approximation through a multi-objective augmented Lagrangian method
EURO Journal on Computational Optimization, 2021 In this manuscript, we consider smooth multi-objective optimization problems with convex constraints. We propose an extension of a multi-objective augmented Lagrangian Method from recent literature.
Guido Cocchi +2 more
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SerialTrack: ScalE and rotation invariant augmented Lagrangian particle tracking
SoftwareX, 2022 We present a new particle tracking algorithm for accurately resolving large deformation and rotational motion fields, which takes advantage of both local and global particle tracking algorithms.
Jin Yang +9 more
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A Filter-SQP strategy for training Support Vector Machine models
REMAT, 2023 This paper introduces a filtering strategy for addressing optimization problems arising in binary Support Vector Machine classification. The training optimization problem aims to solve the dual formulation which involves a quadratic objective function ...
Tiago Lino Bello +3 more
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The Variable Projected Augmented Lagrangian Method
CoRR, 2022 26 pages, 15 ...
Matthias Chung, Rosemary A. Renaut
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Separable approximations and decomposition methods for the augmented Lagrangian [PDF]
Optimization Methods and Software, 2014 28 pages, 6 algorithms, 2 ...
Tappenden, Rachael +2 more
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Mathematics, 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
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