Second order dynamics featuring Tikhonov regularization and time scaling
DOI10.1007/s10957-024-02500-8MaRDI QIDQ6614710
Ernö Robert Csetnek, M. A. Karapetyants
Publication date: 7 October 2024
Published in: (Search for Journal in Brave)
Tikhonov regularizationtime scalingproximal operatorMoreau envelopenonsmooth convex optimizationHessian-driven dampingdamped inertial dynamics
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)
Cites Work
- Title not available (Why is that?)
- Fast convex optimization via inertial dynamics with Hessian driven damping
- A second-order gradient-like dissipative dynamical system with Hessian-driven damping. Application to optimization and mechanics.
- Asymptotic control and stabilization of nonlinear oscillators with non-isolated equilibria
- Convergence of damped inertial dynamics governed by regularized maximally monotone operators
- Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators
- A dynamical approach to convex minimization coupling approximation with the steepest descent method
- Continuous Newton-like inertial dynamics for monotone inclusions
- Damped inertial dynamics with vanishing Tikhonov regularization: strong asymptotic convergence towards the minimum norm solution
- A fast continuous time approach with time scaling for nonsmooth convex optimization
- Fast convex optimization via inertial dynamics combining viscous and Hessian-driven damping with time rescaling
- Tikhonov regularization of a second order dynamical system with Hessian driven damping
- Newton-like dynamics and forward-backward methods for structured monotone inclusions in Hilbert spaces
- Combining fast inertial dynamics for convex optimization with Tikhonov regularization
- Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity
- Second order forward-backward dynamical systems for monotone inclusion problems
- A differential equation for modeling Nesterov's accelerated gradient method: theory and insights
- On the Long Time Behavior of Second Order Differential Equations with Asymptotically Small Dissipation
- On the long time behavior of second order differential equations with asymptotically small dissipation
- Asymptotic for a second-order evolution equation with convex potential andvanishing damping term
- Viscosity Solutions of Minimization Problems
- Fast Proximal Methods via Time Scaling of Damped Inertial Dynamics
- Dynamics of evolutionary equations
- Convergence of iterates for first-order optimization algorithms with inertia and Hessian driven damping
- 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
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