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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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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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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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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Augmented Lagrangian methods for degenerate Hamilton–Jacobi equations [PDF]
Calculus of Variations and Partial Differential Equations, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ennaji, Hamza +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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Parallel and distributed Machine Learning on Augmented Lagrangian Algorithms [PDF]
International Journal of Electronics and TelecommunicationsConstrained 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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A Modified Augmented Lagrange Multiplier Method for Non-Linear Programming [PDF]
Al-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
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