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An augmented Lagrangian method for video restoration

2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2011
This 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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Augmented Lagrangian Method for Optimal Control Problems

2015
This chapter describes a method for solving optimal control problems with boundary conditions at the right-hand end point of system trajectories. Such boundary conditions are expressed by means of finite-dimensional problem of convex programming. The trajectories are generated by a system of linear differential equations with control, and the latter is
Anatoly Antipin, Olga Vasilieva
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On the R-superlinear convergence of the KKT residuals generated by the augmented Lagrangian method for convex composite conic programming

Mathematical programming, 2017
Due to the possible lack of primal-dual-type error bounds, it was not clear whether the Karush–Kuhn–Tucker (KKT) residuals of the sequence generated by the augmented Lagrangian method (ALM) for solving convex composite conic programming (CCCP) problems ...
Ying Cui, Defeng Sun, K. Toh
semanticscholar   +1 more source

Accelerated augmented Lagrangian method for image reconstruction

2013 International Conference on Wireless Communications and Signal Processing, 2013
In 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,
Zhen-Zhen Yang, Zhen Yang
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Coevolutionary augmented Lagrangian methods for constrained optimization

IEEE Transactions on Evolutionary Computation, 2000
This 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 ...
null Min-Jea Tahk, null Byung-Chan Sun
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On the use of Jordan Algebras for improving global convergence of an Augmented Lagrangian method in nonlinear semidefinite programming

Computational optimization and applications, 2021
R. Andreani   +4 more
semanticscholar   +1 more source

Penalty and Augmented Lagrangian Methods

2023
Luigi Grippo, Marco Sciandrone
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On scaled stopping criteria for a safeguarded augmented Lagrangian method with theoretical guarantees

Mathematical Programming Computation, 2021
R. Andreani   +4 more
semanticscholar   +1 more source

Decomposition-Coordination Methods by Augmented Lagrangian: Applications

1984
A large number of problems in mathematics, physics, mechanics, economics, etc. may be formulated as $$ \mathop {Min}\limits_{v \in V} \left\{ {F\left( {Bv} \right) + G\left( v \right)} \right\}, $$ where V, H are topological vector spaces B ∈ ℒ(V, H) F: H → \( \bar R \), G: V → \( \bar R \) are convex proper l.s.c. functionals.
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