Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds
type: Item
instance of: scholarly article
title: Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds
author: Ronny Bergmann
author: Maurício Silva Louzeiro
author: Daniel Tenbrinck
author: Roland Herzog
author: José Vidal-Nuñez
published in: Foundations of Computational Mathematics
publication date: 2022-01-18T00:00:00Z
full work available at URL: https://arxiv.org/abs/1908.02022
Mathematics Subject Classification ID: 47Axx
Mathematics Subject Classification ID: 47Hxx
Mathematics Subject Classification ID: 90C26
Mathematics Subject Classification ID: 53C23
zbMATH DE Number: 7458819
zbMATH Keywords: convex analysis
zbMATH Keywords: Fenchel conjugate function
zbMATH Keywords: Riemannian manifold
zbMATH Keywords: Hadamard manifold
zbMATH Keywords: primal-dual algorithm
zbMATH Keywords: chambolle-pock algorithm
zbMATH Keywords: total variation
describes a project that uses: Manopt
describes a project that uses: Manopt.jl
describes a project that uses: RecPF
MaRDI profile type: Publication
OpenAlex ID: W3128045178
Wikidata QID: Q115385127
cites work: Q5433140
cites work: Duality and subdifferential for convex functions on complete \(CAT(0)\) metric spaces
cites work: Convex analysis and monotone operator theory in Hilbert spaces
cites work: Computing Medians and Means in Hadamard Spaces
cites work: Convex analysis and optimization in Hadamard spaces
cites work: A second order nonsmooth variational model for restoring manifold-valued images
cites work: Restoration of manifold-valued images by half-quadratic minimization
cites work: Priors with coupled first and second order differences for manifold-valued image processing
cites work: Second Order Differences of Cyclic Data and Applications in Variational Denoising
cites work: A Parallel Douglas–Rachford Algorithm for Minimizing ROF-like Functionals on Images with Values in Symmetric Hadamard Manifolds
cites work: A Graph Framework for Manifold-Valued Data
cites work: Q3906685
cites work: Conjugate duality in convex optimization
cites work: Simple algorithms for optimization on Riemannian manifolds with constraints
cites work: Manopt, a Matlab toolbox for optimization on manifolds
cites work: Total Generalized Variation for Manifold-Valued Data
cites work: Total Generalized Variation
cites work: Q4003026
cites work: An algorithm for total variation minimization and applications
cites work: Q3078296
cites work: Image recovery via total variation minimization and related problems
cites work: A first-order primal-dual algorithm for convex problems with applications to imaging
cites work: High-Order Total Variation-Based Image Restoration
cites work: Nonsmooth Riemannian Optimization with Applications to Sphere Packing and Grasping
cites work: Collaborative total variation: a general framework for vectorial TV models
cites work: Q4702909
cites work: Gradient Method for Optimization on Riemannian Manifolds with Lower Bounded Curvature
cites work: Subgradient algorithm on Riemannian manifolds
cites work: Proximal Point Algorithm On Riemannian Manifolds
cites work: A dual algorithm for the solution of nonlinear variational problems via finite element approximation
cites work: Total variation regularization on Riemannian manifolds by iteratively reweighted minimization
cites work: Riemannian geometry and geometric analysis
cites work: Q4226699
cites work: A Nonlocal Denoising Algorithm for Manifold-Valued Images Using Second Order Statistics
cites work: Introduction to Riemannian Manifolds
cites work: Q5703513
cites work: A combined first and second order variational approach for image reconstruction
cites work: A Riemannian framework for tensor computing
cites work: Q3741466
cites work: Geodesic convexity in nonlinear optimization
cites work: Smooth nonlinear optimization of \(\mathbb R^n\)
cites work: Convex Analysis
cites work: Q4050397
cites work: Nonlinear total variation based noise removal algorithms
cites work: Q4888132
cites work: Edge-preserving and scale-dependent properties of total variation regularization
cites work: Q4310716
cites work: A primal–dual hybrid gradient method for nonlinear operators with applications to MRI
cites work: A New Alternating Minimization Algorithm for Total Variation Image Reconstruction
cites work: Total Variation Regularization for Manifold-Valued Data
cites work: Q3149262

Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds (DOI)
DOI: 10.1007/S10208-020-09486-5

Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds (Recommended article)
Recommended article: Primal-dual optimization algorithms over Riemannian manifolds: an iteration complexity analysis
Similarity Score: 0.910614
Recommender Run: Recommender Run 3

Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds (Recommended article)
Recommended article: Optimality and duality on Riemannian manifolds
Similarity Score: 0.89631736
Recommender Run: Recommender Run 3

Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds (Recommended article)
Recommended article: Fenchel-Lagrange duality versus geometric duality in convex optimization
Similarity Score: 0.8796706
Recommender Run: Recommender Run 3

Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds (Recommended article)
Recommended article: Q3403368
Similarity Score: 0.8757645
Recommender Run: Recommender Run 3

Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds (Recommended article)
Recommended article: Q3741466
Similarity Score: 0.87136924
Recommender Run: Recommender Run 3

Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds (Recommended article)
Recommended article: Q4026962
Similarity Score: 0.86941326
Recommender Run: Recommender Run 3

Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds (Recommended article)
Recommended article: Stable and Total Fenchel Duality for Convex Optimization Problems in Locally Convex Spaces
Similarity Score: 0.86633694
Recommender Run: Recommender Run 3

Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds (Recommended article)
Recommended article: On the relationship between fenchel and Lagrange duality for optimization problems in general spaces
Similarity Score: 0.8652985
Recommender Run: Recommender Run 3

Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds (Recommended article)
Recommended article: Q5124387
Similarity Score: 0.8625856
Recommender Run: Recommender Run 3

Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds (Recommended article)
Recommended article: Q4263201
Similarity Score: 0.8622147
Recommender Run: Recommender Run 3