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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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Penalty Methods, Barrier Methods and Augmented Lagrangians
1998Abstract We now turn to study some general optimization methods upon which we can later base the design of model decomposition algorithms (see Chapter 1). These general methods for constrained nonlinear optimization are the penalty methods that employ penalty or barrier functions giving rise to so-called exterior penalty methods or ...
Yair Censor, Stavros A Zenios
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On the imposition of a flowrate by an augmented Lagrangian method
Communications in Applied Numerical Methods, 1988AbstractThis paper introduces an augmented Lagrangian method for the imposition of a given flowrate in the numerical simulation of problems where no a priori knowledge of the velocity profile at the inlet of the domain is availble. This method can be seen as a convenient way to generate boundary conditions consistent with the Navier‐Stokes equations ...
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