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Journal of Differential Equations, ISSN 0022-0396, 2015, Volume 259, Issue 7, pp. 3115 - 3143
Journal Article
ISSN 0364-765X, 5/2010, Volume 35, Issue 2, pp. 438 - 457
We study the convergence properties of an alternating proximal minimization algorithm for nonconvex structured functions of the type: L(x,y)=f(x)+Q(x,y)+g(y... 
alternating minimization algorithms | proximal algorithms | o-minimal structures | finite convergence time | alternating projections algorithms | gradient systems | Kurdyka- ojasiewicz inequality | nonconvex optimization | tame optimization | sparse reconstruction | convergence rate
Journal Article
Journal of Evolution Equations, ISSN 1424-3199, 9/2018, Volume 18, Issue 3, pp. 1291 - 1318
We investigate the asymptotic properties of the trajectories generated by a second-order dynamical system of proximal-gradient type stated in connection... 
Limiting subdifferential | 90C30 | Kurdyka–Łojasiewicz property | Analysis | 65K10 | Mathematics | 90C26 | 47J25 | 47H05 | Nonsmooth nonconvex optimization | 34G25 | Second-order dynamical system | MATHEMATICS | MATHEMATICS, APPLIED | Kurdyka-ojasiewicz property | MAXIMAL MONOTONE-OPERATORS | INCLUSIONS | CONVERGENCE | ALGORITHMS
Journal Article
ESAIM - Control, Optimisation and Calculus of Variations, ISSN 1292-8119, 04/2018, Volume 24, Issue 2, pp. 463 - 477
Journal Article
Optimization, ISSN 0233-1934, 01/2017, Volume 66, Issue 1, pp. 129 - 147
Journal Article
by Yu, PR and Pong, TK
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, ISSN 0926-6003, 06/2019, Volume 73, Issue 2, pp. 353 - 386
Iteratively reweighted 1 algorithm is a popular algorithm for solving a large class of optimization problems whose objective is the sum of a Lipschitz... 
Extrapolation | MATHEMATICS, APPLIED | Kurdyka-ojasiewicz property | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Iteratively reweighted l algorithm | Algorithms
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 10/2020, Volume 376, p. 112837
Journal Article
by Wang, WN and Wu, CL and Tai, XC
JOURNAL OF SCIENTIFIC COMPUTING, ISSN 0885-7474, 03/2020, Volume 83, Issue 1
In this paper, we study a non-Lipschitz and box-constrained model for both piecewise constant and natural image restoration with Gaussian noise removal. It... 
MATHEMATICS, APPLIED | Support shrinking | Kurdyka-ojasiewicz property | ALTERNATING MINIMIZATION | High order regularization | Box-constrained | Image restoration | SIGNAL RECONSTRUCTION | Non-Lipschitz optimization | SPACE | RECOVERY | Lower bound theory | NONCONVEX | REGULARIZATION | TOTAL VARIATION MINIMIZATION
Journal Article
Computational Optimization and Applications, ISSN 0926-6003, 5/2019, Volume 73, Issue 1, pp. 129 - 158
Journal Article
Journal of inequalities and applications, ISSN 1029-242X, 2019, Volume 2019, Issue 1, pp. 1 - 16
...–Łojasiewicz property, the strong convergence of the algorithm is established. Finally, some preliminary numerical results are reported to support the efficiency... 
Alternating direction method of multipliers | Kurdyka–Łojasiewicz property | Nonconvex optimization problems | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Convergence | MATHEMATICS | MATHEMATICS, APPLIED | Kurdyka-ojasiewicz property | ITERATIVE ALGORITHMS | Algorithms | Multipliers | Lagrangian function | Optimization
Journal Article
Optimization Letters, ISSN 1862-4472, 06/2018, Volume 13, Issue 4, pp. 1 - 20
...)] for solving the minimization of DC functions (difference of two convex functions). Under some suitable assumptions such as level boundedness, Kurdyka-ojasiewicz property... 
The second APG algorithm | Nonconvex optimization | Kurdyka–Łojasiewicz property | DC function | MATHEMATICS, APPLIED | Kurdyka-ojasiewicz property | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Methods | Algorithms
Journal Article
International journal of computer mathematics, ISSN 1029-0265, 2016, Volume 94, Issue 8, pp. 1653 - 1669
Journal Article
IEEE transactions on signal processing, ISSN 1941-0476, 2018, Volume 66, Issue 20, pp. 5380 - 5391
Journal Article
Computational optimization and applications, ISSN 0926-6003, 2017, Volume 67, Issue 3, pp. 489 - 520
Journal Article
Computational Optimization and Applications, ISSN 0926-6003, 07/2017, Volume 67, Issue 3, pp. 443 - 487
Journal Article
Journal Article