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A new family of penalties for augmented Lagrangian methods
Numerical Linear Algebra with Applications, 2008AbstractWe study a family of penalty functions for augmented Lagrangian methods, and concentrate on a penalty based on the modified logarithmic barrier function. The convex conjugate of this penalty induces a Bregman distance, and the dual iterates associated with the augmented Lagrangian algorithm correspond to the iterates produced by a proximal ...
Luiz Carlos Matioli, Clóvis C. Gonzaga
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Convergence Rate of the Augmented Lagrangian SQP Method
Journal of Optimization Theory and Applications, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. Kleis, Ekkehard W. Sachs
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Exponential augmented Lagrangian methods for equilibrium problems
Optimization Methods and Software, 2020We introduce exponential augmented Lagrangian methods for solving equilibrium problems in finite-dimensional spaces, extending the so-called quadratic augmented Lagrangian methods.
Elvis M. R. Torrealba +3 more
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An Augmented Lagrangian Method for image reconstruction with multiple features [PDF]
2015 IEEE International Conference on Image Processing (ICIP), 2015 We present an Augmented Lagrangian Method (ALM) for solving image reconstruction problems with a cost function consisting of multiple regularization functions with a data fidelity constraint. The presented technique is used to solve inverse problems related to image reconstruction, including compressed sensing formulations. Our contributions include an
H. Emre Guven +2 more
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Coevolutionary augmented Lagrangian methods for constrained optimization
IEEE Transactions on Evolutionary Computation, 2000This paper introduces a coevolutionary method developed for solving constrained optimization problems. This algorithm is based on the evolution of two populations with opposite objectives to solve saddle-point problems. The augmented Lagrangian approach is taken to transform a constrained optimization problem to a zero-sum game with the saddle point ...
Min-Jea Tahk, Byung-Chan Sun
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Accelerated augmented Lagrangian method for image reconstruction
2013 International Conference on Wireless Communications and Signal Processing, 2013In this paper, an efficient image reconstruction algorithm based on compressed sensing (CS) in the wavelet domain is proposed. The new algorithm is composed of three steps. Firstly, the image is represented with its coefficients using the discrete wavelet transform (DWT). Secondly, the measurement is obtained by using a random Gaussian matrix. Finally,
Zhenzhen Yang, Zhen Yang 0001
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An augmented Lagrangian method for VLSI global placement
The Journal of Supercomputing, 2014By ignoring some cell overlaps, global placement computes the best position for each cell to minimize the wirelength. It is an important stage in very large scale integration (VLSI) physical design, since circuit performance heavily depends on the placement results.
Wenxing Zhu, Jianli Chen, Weiguo Li
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Augmented Lagrangian Method for Generalized TV-Stokes Model
Journal of Scientific Computing, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jooyoung Hahn, Chunlin Wu, Xue-Cheng Tai
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Penalty and Augmented Lagrangian Methods
2017This chapter introduces two very important concepts in constrained nonlinear optimization. These are penalty and augmented Lagrangian concepts. The idea is that both these concepts replace the original problem by a sequence of sub-problems in which the constraints are expressed by terms added to the objective function.
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An Augmented Lagrangian Method for Total Variation Video Restoration
IEEE Transactions on Image Processing, 2011This paper presents a fast algorithm for restoring video sequences. The proposed algorithm, as opposed to existing methods, does not consider video restoration as a sequence of image restoration problems. Rather, it treats a video sequence as a space-time volume and poses a space-time total variation regularization to enhance the smoothness of the ...
Stanley H. Chan +4 more
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