Riemannian proximal gradient methods

2021/03/09 by Wen Huang, Ke Wei · 13 citations
Engineering · Mathematics · Computer Science · #Sparse and Compressive Sensing Techniques #Advanced Optimization Algorithms Research #Optimization and Variational Analysis

paper · doi:10.1007/s10107-021-01632-3

Citations

• Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward–backward splitting, and regularized Gauss–Seidel methods
• Proximal alternating linearized minimization for nonconvex and nonsmooth problems

Cited by

• An Adaptive Proximal Point Method for Nonsmooth and Nonconvex Optimization on Hadamard Manifolds
• The Wasserstein Proximal Gradient Algorithm
• Solving Optimization Problems over the Stiefel Manifold by Smooth Exact Penalty Function
• Finite-Time Analysis of Stochastic Nonconvex Nonsmooth Optimization on the Riemannian Manifolds
• Adaptive Riemannian ADMM for Nonsmooth Optimization: Optimal Complexity without Smoothing
• The Intrinsic Riemannian Proximal Gradient Method for Nonconvex Optimization
• A Riemannian Accelerated Proximal Gradient Method
• Simple linesearch-free first-order methods for nonconvex optimization
• An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization
• A New Inexact Manifold Proximal Linear Algorithm with Adaptive Stopping Criteria
• An inexact variable metric proximal linearization method for composite optimization on manifolds
• On Relatively Smooth Optimization over Riemannian Manifolds
• The Intrinsic Riemannian Proximal Gradient Method for Convex Optimization
• On the Wasserstein Geodesic Principal Component Analysis of probability measures