- Home
- Publications
- Publication Search
- Publication Details
Title
Monotone operator theory in convex optimization
Authors
Keywords
Firmly nonexpansive operator, Monotone operator, Operator splitting, Proximal algorithm, Proximity operator, Proximity-preserving transformation, Self-dual class, Subdifferential, 47H25, 49M27, 65K05, 90C25
Journal
MATHEMATICAL PROGRAMMING
Volume 170, Issue 1, Pages 177-206
Publisher
Springer Nature
Online
2018-06-05
DOI
10.1007/s10107-018-1303-3
References
Ask authors/readers for more resources
Related references
Note: Only part of the references are listed.- Model Consistency of Partly Smooth Regularizers
- (2018) Samuel Vaiter et al. IEEE TRANSACTIONS ON INFORMATION THEORY
- Backward–forward algorithms for structured monotone inclusions in Hilbert spaces
- (2018) Hédy Attouch et al. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Perspective functions: Proximal calculus and applications in high-dimensional statistics
- (2018) Patrick L. Combettes et al. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Consistent learning by composite proximal thresholding
- (2017) Patrick L. Combettes et al. MATHEMATICAL PROGRAMMING
- A Descent Lemma Beyond Lipschitz Gradient Continuity: First-Order Methods Revisited and Applications
- (2017) Heinz H. Bauschke et al. MATHEMATICS OF OPERATIONS RESEARCH
- A Three-Operator Splitting Scheme and its Optimization Applications
- (2017) Damek Davis et al. Set-Valued and Variational Analysis
- On Douglas–Rachford operators that fail to be proximal mappings
- (2016) Heinz H. Bauschke et al. MATHEMATICAL PROGRAMMING
- Asynchronous block-iterative primal-dual decomposition methods for monotone inclusions
- (2016) Patrick L. Combettes et al. MATHEMATICAL PROGRAMMING
- A survey on operator splitting and decomposition of convex programs
- (2016) Arnaud Lenoir et al. RAIRO-OPERATIONS RESEARCH
- Compositions and convex combinations of averaged nonexpansive operators
- (2015) Patrick L. Combettes et al. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- On the Convergence of the Iterates of the “Fast Iterative Shrinkage/Thresholding Algorithm”
- (2015) A. Chambolle et al. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
- Solving OSCAR regularization problems by fast approximate proximal splitting algorithms
- (2014) Xiangrong Zeng et al. DIGITAL SIGNAL PROCESSING
- Convergence Analysis for a Primal-Dual Monotone + Skew Splitting Algorithm with Applications to Total Variation Minimization
- (2014) Radu Ioan Boţ et al. JOURNAL OF MATHEMATICAL IMAGING AND VISION
- A primal-dual method of partial inverses for composite inclusions
- (2014) Maryam A. Alghamdi et al. Optimization Letters
- Optimal Transport with Proximal Splitting
- (2014) Nicolas Papadakis et al. SIAM Journal on Imaging Sciences
- A Generalized Forward-Backward Splitting
- (2013) Hugo Raguet et al. SIAM Journal on Imaging Sciences
- A Parallel Proximal Splitting Method for Disparity Estimation from Multicomponent Images Under Illumination Variation
- (2012) C. Chaux et al. JOURNAL OF MATHEMATICAL IMAGING AND VISION
- A Primal–Dual Splitting Method for Convex Optimization Involving Lipschitzian, Proximable and Linear Composite Terms
- (2012) Laurent Condat JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
- Variable metric forward–backward splitting with applications to monotone inclusions in duality
- (2012) Patrick L. Combettes et al. OPTIMIZATION
- Convergence Analysis of Primal-Dual Algorithms for a Saddle-Point Problem: From Contraction Perspective
- (2012) Bingsheng He et al. SIAM Journal on Imaging Sciences
- A splitting algorithm for dual monotone inclusions involving cocoercive operators
- (2011) Bằng Công Vũ ADVANCES IN COMPUTATIONAL MATHEMATICS
- There is no variational characterization of the cycles in the method of periodic projections
- (2011) J.-B. Baillon et al. JOURNAL OF FUNCTIONAL ANALYSIS
- Firmly Nonexpansive Mappings and Maximally Monotone Operators: Correspondence and Duality
- (2011) Heinz H. Bauschke et al. Set-Valued and Variational Analysis
- Primal-Dual Splitting Algorithm for Solving Inclusions with Mixtures of Composite, Lipschitzian, and Parallel-Sum Type Monotone Operators
- (2011) Patrick L. Combettes et al. Set-Valued and Variational Analysis
- A Monotone+Skew Splitting Model for Composite Monotone Inclusions in Duality
- (2011) Luis M. Briceño-Arias et al. SIAM JOURNAL ON OPTIMIZATION
- A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging
- (2010) Antonin Chambolle et al. JOURNAL OF MATHEMATICAL IMAGING AND VISION
- Dualization of Signal Recovery Problems
- (2010) Patrick L. Combettes et al. Set-Valued and Variational Analysis
- A Parallel Splitting Method for Coupled Monotone Inclusions
- (2010) Hédy Attouch et al. SIAM JOURNAL ON CONTROL AND OPTIMIZATION
- On Borwein–Wiersma Decompositions of Monotone Linear Relations
- (2010) Heinz H. Bauschke et al. SIAM JOURNAL ON OPTIMIZATION
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- (2009) Amir Beck et al. SIAM Journal on Imaging Sciences
- Proximal Thresholding Algorithm for Minimization over Orthonormal Bases
- (2007) Patrick L. Combettes et al. SIAM JOURNAL ON OPTIMIZATION
Publish scientific posters with Peeref
Peeref publishes scientific posters from all research disciplines. Our Diamond Open Access policy means free access to content and no publication fees for authors.
Learn MoreAdd your recorded webinar
Do you already have a recorded webinar? Grow your audience and get more views by easily listing your recording on Peeref.
Upload Now