Proximal gradient method for nonconvex and nonsmooth optimization on Hadamard manifolds

DOI10.1007/s11590-021-01822-0zbMath1503.90098OpenAlexW3213301099MaRDI QIDQ2080822

Yanyan Li

Publication date: 11 October 2022

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-021-01822-0

zbMATH Keywords

convergence analysisHadamard manifoldsproximal gradient methodmanifold optimization

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Methods of reduced gradient type (90C52)

Uses Software

• Manopt

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
• A new approach to the proximal point method: convergence on general Riemannian manifolds
• Proximal alternating linearized minimization for nonconvex and nonsmooth problems
• Equilibrium problems in Hadamard manifolds
• Minimizing a differentiable function over a differential manifold
• Nonsmooth optimization and its applications. Based on the workshop ``Nonsmooth Optimization and its Applications, Bonn, Germany, May 15--19, 2017
• Riemannian geometric statistics in medical image analysis
• The Riemannian geometry of the space of positive-definite matrices and its application to the regularization of positive-definite matrix-valued data
• Convergence analysis of inexact proximal point algorithms on Hadamard manifolds
• Simple algorithms for optimization on Riemannian manifolds with constraints
• Riemannian proximal gradient methods
• A brief introduction to manifold optimization
• Computing Riemannian center of mass on Hadamard manifolds
• Splitting methods with variable metric for Kurdyka-Łojasiewicz functions and general convergence rates
• Iteration-complexity of gradient, subgradient and proximal point methods on Riemannian manifolds
• Regularization of proximal point algorithms in Hadamard manifolds
• Convex analysis and optimization in Hadamard spaces
• Manopt, a Matlab toolbox for optimization on manifolds
• Positive Definite Matrices
• Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
• Nonsmooth analysis on smooth manifolds
• Proximal Point Algorithm On Riemannian Manifolds
• First-Order Methods in Optimization
• Accelerated Optimization for Machine Learning
• Proximal point method for a special class of nonconvex functions on Hadamard manifolds
• Proximal Gradient Method for Nonsmooth Optimization over the Stiefel Manifold
• Gradient Method for Optimization on Riemannian Manifolds with Lower Bounded Curvature
• Fast Gradient-Based Algorithms for Constrained Total Variation Image Denoising and Deblurring Problems
• The Gradient Projection Method Along Geodesics
• Proof of the gradient conjecture of R. Thom.

This page was built for publication: Proximal gradient method for nonconvex and nonsmooth optimization on Hadamard manifolds