Convergence Rate Analysis of Primal-Dual Splitting Schemes
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[1] P. L. Combettes,et al. Variable metric quasi-Fejér monotonicity , 2012, 1206.5705.
[2] Daniel Cremers,et al. An algorithm for minimizing the Mumford-Shah functional , 2009, 2009 IEEE 12th International Conference on Computer Vision.
[3] Tosio Kato. Perturbation theory for linear operators , 1966 .
[4] Marc Teboulle,et al. Rate of Convergence Analysis of Decomposition Methods Based on the Proximal Method of Multipliers for Convex Minimization , 2014, SIAM J. Optim..
[5] Xiaoqun Zhang,et al. A primal–dual fixed point algorithm for convex separable minimization with applications to image restoration , 2013 .
[6] Patrick L. Combettes,et al. A Monotone+Skew Splitting Model for Composite Monotone Inclusions in Duality , 2010, SIAM J. Optim..
[7] Radu Ioan Bot,et al. Convergence Analysis for a Primal-Dual Monotone + Skew Splitting Algorithm with Applications to Total Variation Minimization , 2012, Journal of Mathematical Imaging and Vision.
[8] P. L. Combettes,et al. Variable metric forward–backward splitting with applications to monotone inclusions in duality , 2012, 1206.6791.
[9] Antonin Chambolle,et al. A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging , 2011, Journal of Mathematical Imaging and Vision.
[10] Radu Ioan Bot,et al. A Douglas-Rachford Type Primal-Dual Method for Solving Inclusions with Mixtures of Composite and Parallel-Sum Type Monotone Operators , 2012, SIAM J. Optim..
[11] J. Baillon,et al. Quelques propriétés des opérateurs angle-bornés etn-cycliquement monotones , 1977 .
[12] Patrick L. Combettes,et al. Systems of Structured Monotone Inclusions: Duality, Algorithms, and Applications , 2012, SIAM J. Optim..
[13] R. Boţ,et al. Solving monotone inclusions involving parallel sums of linearly composed maximally monotone operators , 2013, 1306.3191.
[14] Patrick L. Combettes,et al. An Algorithm for Splitting Parallel Sums of Linearly Composed Monotone Operators, with Applications to Signal Recovery , 2013, 1305.5828.
[15] Gregory B. Passty. Ergodic convergence to a zero of the sum of monotone operators in Hilbert space , 1979 .
[16] Ronald E. Bruck. On the weak convergence of an ergodic iteration for the solution of variational inequalities for monotone operators in Hilbert space , 1977 .
[17] Dimitri P. Bertsekas,et al. Incremental Gradient, Subgradient, and Proximal Methods for Convex Optimization: A Survey , 2015, ArXiv.
[18] B. Vu. A Variable Metric Extension of the Forward–Backward–Forward Algorithm for Monotone Operators , 2012, 1210.2986.
[19] Yurii Nesterov,et al. Smooth minimization of non-smooth functions , 2005, Math. Program..
[20] Damek Davis,et al. Convergence Rate Analysis of Several Splitting Schemes , 2014, 1406.4834.
[21] Pablo A. Lotito,et al. A Class of Inexact Variable Metric Proximal Point Algorithms , 2008, SIAM J. Optim..
[22] P. L. Combettes,et al. Primal-Dual Splitting Algorithm for Solving Inclusions with Mixtures of Composite, Lipschitzian, and Parallel-Sum Type Monotone Operators , 2011, Set-Valued and Variational Analysis.
[23] Radu Ioan Bot,et al. On the convergence rate improvement of a primal-dual splitting algorithm for solving monotone inclusion problems , 2013, Mathematical Programming.
[24] Laurent Condat,et al. A Primal–Dual Splitting Method for Convex Optimization Involving Lipschitzian, Proximable and Linear Composite Terms , 2012, Journal of Optimization Theory and Applications.
[25] P. Lions,et al. Image recovery via total variation minimization and related problems , 1997 .
[26] Paul Tseng,et al. A Modified Forward-backward Splitting Method for Maximal Monotone Mappings 1 , 1998 .
[27] D. Varberg. Convex Functions , 1973 .
[28] Patrick L. Combettes,et al. A forward-backward view of some primal-dual optimization methods in image recovery , 2014, 2014 IEEE International Conference on Image Processing (ICIP).
[29] Xiaoming Yuan,et al. A Generalized Proximal Point Algorithm and Its Convergence Rate , 2014, SIAM J. Optim..
[30] R. Glowinski,et al. Sur l'approximation, par éléments finis d'ordre un, et la résolution, par pénalisation-dualité d'une classe de problèmes de Dirichlet non linéaires , 1975 .
[31] R. Rockafellar. Monotone Operators and the Proximal Point Algorithm , 1976 .
[32] Lieven Vandenberghe,et al. Primal-Dual Decomposition by Operator Splitting and Applications to Image Deblurring , 2014, SIAM J. Imaging Sci..
[33] R. Boţ,et al. Solving Systems of Monotone Inclusions via Primal-dual Splitting Techniques , 2013 .
[34] Antonin Chambolle,et al. Diagonal preconditioning for first order primal-dual algorithms in convex optimization , 2011, 2011 International Conference on Computer Vision.
[35] Tony F. Chan,et al. A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science , 2010, SIAM J. Imaging Sci..
[36] J. Borwein,et al. Convex Functions: Constructions, Characterizations and Counterexamples , 2010 .
[37] J. Pesquet,et al. A Class of Randomized Primal-Dual Algorithms for Distributed Optimization , 2014, 1406.6404.
[38] Heinz H. Bauschke,et al. Convex Analysis and Monotone Operator Theory in Hilbert Spaces , 2011, CMS Books in Mathematics.
[39] Steven M. LaValle,et al. Planning algorithms , 2006 .
[40] Bingsheng He,et al. Convergence Analysis of Primal-Dual Algorithms for a Saddle-Point Problem: From Contraction Perspective , 2012, SIAM J. Imaging Sci..
[41] Julien Mairal,et al. Proximal Methods for Hierarchical Sparse Coding , 2010, J. Mach. Learn. Res..
[42] P. Lions,et al. Splitting Algorithms for the Sum of Two Nonlinear Operators , 1979 .
[43] Bang Công Vu,et al. A splitting algorithm for dual monotone inclusions involving cocoercive operators , 2011, Advances in Computational Mathematics.
[44] I. Yamada,et al. NON-STRICTLY CONVEX MINIMIZATION OVER THE FIXED POINT SET OF AN ASYMPTOTICALLY SHRINKING NONEXPANSIVE MAPPING , 2002 .
[45] Ernö Robert Csetnek,et al. On the convergence rate of a forward-backward type primal-dual splitting algorithm for convex optimization problems , 2015 .
[46] Xiaoming Yuan,et al. Adaptive Primal-Dual Hybrid Gradient Methods for Saddle-Point Problems , 2013, 1305.0546.