A mirror inertial forward-reflected-backward splitting: convergence analysis beyond convexity and Lipschitz smoothness
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Publication:6644234
DOI10.1007/s10957-024-02383-9MaRDI QIDQ6644234
Hongjia Ou, Andreas Themelis, Xianfu Wang, Ziyuan Wang
Publication date: 27 November 2024
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
inertiaBregman distancenonsmooth nonconvex optimizationrelative smoothnessMordukhovich limiting subdifferentialforward-reflected-backward splitting
Nonconvex programming, global optimization (90C26) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)
Cites Work
- Unnamed Item
- Douglas-Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems
- The Moreau envelope function and proximal mapping in the sense of the Bregman distance
- Lectures on convex optimization
- A simplified view of first order methods for optimization
- Peaceman-Rachford splitting for a class of nonconvex optimization problems
- Mirror descent and nonlinear projected subgradient methods for convex optimization.
- Uniformly convex and uniformly smooth convex functions
- Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods
- Quartic first-order methods for low-rank minimization
- Accelerated Bregman proximal gradient methods for relatively smooth convex optimization
- Douglas-Rachford splitting and ADMM for nonconvex optimization: accelerated and Newton-type linesearch algorithms
- Malitsky-Tam forward-reflected-backward splitting method for nonconvex minimization problems
- Optimal complexity and certification of Bregman first-order methods
- Implementable tensor methods in unconstrained convex optimization
- An envelope for Davis-Yin splitting and strict saddle-point avoidance
- Convergence Analysis of a Proximal-Like Minimization Algorithm Using Bregman Functions
- Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
- Global Convergence of Splitting Methods for Nonconvex Composite Optimization
- Iterating Bregman Retractions
- Bregman Monotone Optimization Algorithms
- ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
- Variational Analysis and Applications
- First Order Methods Beyond Convexity and Lipschitz Gradient Continuity with Applications to Quadratic Inverse Problems
- Forward-Backward Envelope for the Sum of Two Nonconvex Functions: Further Properties and Nonmonotone Linesearch Algorithms
- Relatively Smooth Convex Optimization by First-Order Methods, and Applications
- Re-examination of Bregman functions and new properties of their divergences
- Newton-type Alternating Minimization Algorithm for Convex Optimization
- Two Steps at a Time---Taking GAN Training in Stride with Tseng's Method
- A Forward-Backward Splitting Method for Monotone Inclusions Without Cocoercivity
- The Proximal Alternating Direction Method of Multipliers in the Nonconvex Setting: Convergence Analysis and Rates
- Douglas--Rachford Splitting and ADMM for Nonconvex Optimization: Tight Convergence Results
- Incremental Majorization-Minimization Optimization with Application to Large-Scale Machine Learning
- Proximité et dualité dans un espace hilbertien
- A Descent Lemma Beyond Lipschitz Gradient Continuity: First-Order Methods Revisited and Applications
- A Bregman Forward-Backward Linesearch Algorithm for Nonconvex Composite Optimization: Superlinear Convergence to Nonisolated Local Minima
- Extrapolated Proximal Subgradient Algorithms for Nonconvex and Nonsmooth Fractional Programs
- The Exact Modulus of the Generalized Concave Kurdyka-Łojasiewicz Property
- Convex analysis and monotone operator theory in Hilbert spaces
- A forward-backward algorithm with different inertial terms for structured non-convex minimization problems
- A Bregman inertial forward-reflected-backward method for nonconvex minimization
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