Convex optimization via inertial algorithms with vanishing Tikhonov regularization: fast convergence to the minimum norm solution
DOI10.1007/S00186-024-00867-YzbMATH Open1547.37113MaRDI QIDQ6568754
Publication date: 8 July 2024
Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)
convex optimizationminimum norm solutionaccelerated gradient methodsdamped inertial dynamicsNesterov accelerated gradient methodTikhonov approximation
Numerical mathematical programming methods (65K05) Convex programming (90C25) Numerical optimization and variational techniques (65K10) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Dynamical systems in optimization and economics (37N40) Methods of reduced gradient type (90C52)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Fast convex optimization via inertial dynamics with Hessian driven damping
- On the convergence of the iterates of the ``fast iterative shrinkage/thresholding algorithm
- Inertial gradient-like dynamical system controlled by a stabilizing term
- On an asymptotically autonomous system with Tikhonov type regularizing term
- A strongly convergent primal-dual method for nonoverlapping domain decomposition
- Asymptotic behavior of gradient-like dynamical systems involving inertia and multiscale aspects
- Forward-backward and Tseng's type penalty schemes for monotone inclusion problems
- Asymptotic selection of viscosity equilibria of semilinear evolution equations by the introduction of a slowly vanishing term
- Strong asymptotic convergence of evolution equations governed by maximal monotone operators with Tikhonov regularization
- Coupling the proximal point algorithm with approximation methods
- Introductory lectures on convex optimization. A basic course.
- Asymptotic control and stabilization of nonlinear oscillators with non-isolated equilibria
- Asymptotic stabilization of inertial gradient dynamics with time-dependent viscosity
- A dynamical approach to convex minimization coupling approximation with the steepest descent method
- Damped inertial dynamics with vanishing Tikhonov regularization: strong asymptotic convergence towards the minimum norm solution
- First-order optimization algorithms via inertial systems with Hessian driven damping
- Tikhonov regularization of a second order dynamical system with Hessian driven damping
- Asymptotic behavior of coupled dynamical systems with multiscale aspects
- Combining fast inertial dynamics for convex optimization with Tikhonov regularization
- Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity
- The rate of convergence of Nesterov's accelerated forward-backward method is actually faster than \(1/k^2\)
- A differential equation for modeling Nesterov's accelerated gradient method: theory and insights
- Prox-Penalization and Splitting Methods for Constrained Variational Problems
- A Parallel Splitting Method for Coupled Monotone Inclusions
- Coupling Forward-Backward with Penalty Schemes and Parallel Splitting for Constrained Variational Inequalities
- On the long time behavior of second order differential equations with asymptotically small dissipation
- Convergence and asymptotic stabilization for some damped hyperbolic equations with non-isolated equilibria
- The Differential Inclusion Modeling FISTA Algorithm and Optimality of Convergence Rate in the Case b $\leq3$
- Viscosity Solutions of Minimization Problems
- Proximal Point Algorithm Controlled by a Slowly Vanishing Term: Applications to Hierarchical Minimization
- Convex analysis and monotone operator theory in Hilbert spaces
- A convergence result for nonautonomous subgradient evolution equations and its application to the steepest descent exponential penalty trajectory in linear programming
- On the strong convergence of the trajectories of a Tikhonov regularized second order dynamical system with asymptotically vanishing damping
- Accelerated gradient methods combining Tikhonov regularization with geometric damping driven by the Hessian
- Fast optimization via inertial dynamics with closed-loop damping
This page was built for publication: Convex optimization via inertial algorithms with vanishing Tikhonov regularization: fast convergence to the minimum norm solution
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6568754)
