Finite-time nonconvex optimization using time-varying dynamical systems
From MaRDI portal
Publication:6636813
DOI10.1007/s10957-024-02536-wMaRDI QIDQ6636813
Lien T. Nguyen, Andrew Eberhard, Alexander Y. Kruger, Xinghuo Yu, Chaojie Li
Publication date: 12 November 2024
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
dynamical systemsfinite-time convergenceMoreau envelopefixed-time convergenceKurdyka-Łojasiewicz exponentcomposite problem
Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26) Numerical optimization and variational techniques (65K10) Rate of convergence, degree of approximation (41A25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- Approximation and regularization of arbitrary functions in Hilbert spaces by the Lasry-Lions method
- Lectures on convex optimization
- Continuous dynamics related to monotone inclusions and non-smooth optimization problems
- Finite-time convergent gradient flows with applications to network consensus
- On the convergence of the proximal algorithm for nonsmooth functions involving analytic features
- Prox-regular functions in Hilbert spaces
- Calculus of the exponent of Kurdyka-Łojasiewicz inequality and its applications to linear convergence of first-order methods
- Conical averagedness and convergence analysis of fixed point algorithms
- Convergence rates for boundedly regular systems
- Newton-like dynamics and forward-backward methods for structured monotone inclusions in Hilbert spaces
- Hölder error bounds and Hölder calmness with applications to convex semi-infinite optimization
- Second order forward-backward dynamical systems for monotone inclusion problems
- Quasi-Concave Programming
- Finite Time Controllers
- Finite-Time Stability of Continuous Autonomous Systems
- Fixed-Time Stable Gradient Flows: Applications to Continuous-Time Optimization
- A second-order dynamical approach with variable damping to nonconvex smooth minimization
- Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems
- The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- Convex analysis and monotone operator theory in Hilbert spaces
- Fixed-Time Gradient Dynamics With Time-Varying Coefficients for Continuous-Time Optimization
- Fixed-Time Stable Proximal Dynamical System for Solving MVIPs
- Fast gradient algorithm with dry-like friction and nonmonotone line search for nonconvex optimization problems
This page was built for publication: Finite-time nonconvex optimization using time-varying dynamical systems