A forward-backward dynamical approach for nonsmooth problems with block structure coupled by a smooth function
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Publication:2662659
DOI10.1016/j.amc.2020.125822OpenAlexW3111567673MaRDI QIDQ2662659
Publication date: 14 April 2021
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.10051
asymptotic analysisKurdyka-Łojasiewicz propertyblock-coordinate minimizationforward-backward dynamical system
Nonconvex programming, global optimization (90C26) Derivative-free methods and methods using generalized derivatives (90C56) Nonsmooth analysis (49J52) Dynamical systems in optimization and economics (37N40)
Cites Work
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- An inertial forward-backward algorithm for the minimization of the sum of two nonconvex functions
- Proximal alternating linearized minimization for nonconvex and nonsmooth problems
- A dynamical system associated with the fixed points set of a nonexpansive operator
- Continuous gradient projection method in Hilbert spaces
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- On the convergence of the proximal algorithm for nonsmooth functions involving analytic features
- Asymptotic convergence of nonlinear contraction semigroups in Hilbert space
- Convergence of solutions to second-order gradient-like systems with analytic nonlinearities
- A second-order gradient-like dissipative dynamical system with Hessian-driven damping. Application to optimization and mechanics.
- Calculus of the exponent of Kurdyka-Łojasiewicz inequality and its applications to linear convergence of first-order methods
- Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods
- Approaching nonsmooth nonconvex minimization through second-order proximal-gradient dynamical systems
- A primal-dual dynamical approach to structured convex minimization problems
- Newton-like dynamics and forward-backward methods for structured monotone inclusions in Hilbert spaces
- Stochastic subgradient method converges on tame functions
- Shadow Douglas-Rachford splitting for monotone inclusions
- Semi-groups of nonlinear contractions and dissipative sets
- Variational Analysis in Sobolev and BV Spaces
- A Continuous Dynamical Newton-Like Approach to Solving Monotone Inclusions
- Dynamical systems and forward–backward algorithms associated with the sum of a convex subdifferential and a monotone cocoercive operator
- Variational Analysis
- A forward-backward dynamical approach to the minimization of the sum of a nonsmooth convex with a smooth nonconvex function
- A forward-backward-forward differential equation and its asymptotic properties
- A Proximal Minimization Algorithm for Structured Nonconvex and Nonsmooth Problems
- The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems
- Convex analysis and monotone operator theory in Hilbert spaces
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