scientific article; zbMATH DE number 7356986
From MaRDI portal
Publication:4992558
zbMath1470.37118MaRDI QIDQ4992558
Publication date: 9 June 2021
Full work available at URL: https://www.heldermann.de/JCA/JCA28/JCA282/jca28019.htm#jca282
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
differential inclusiondry frictionfinite-time stabilizationHessian-driven dampingdamped inertial dynamics
Ordinary differential inclusions (34A60) Evolution inclusions (34G25) Problems involving a system of particles with friction (70F40) Dynamical systems in optimization and economics (37N40) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)
Related Items (7)
From the Ravine Method to the Nesterov Method and Vice Versa: A Dynamical System Perspective ⋮ Convergence of iterates for first-order optimization algorithms with inertia and Hessian driven damping ⋮ Accelerated dynamics with dry friction via time scaling and averaging of doubly nonlinear evolution equations ⋮ First order inertial optimization algorithms with threshold effects associated with dry friction ⋮ Fast optimization via inertial dynamics with closed-loop damping ⋮ Finite Convergence of Proximal-Gradient Inertial Algorithms Combining Dry Friction with Hessian-Driven Damping ⋮ On the effect of perturbations in first-order optimization methods with inertia and Hessian driven damping
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fast convex optimization via inertial dynamics with Hessian driven damping
- On the convergence of the iterates of the ``fast iterative shrinkage/thresholding algorithm
- A second-order gradient-like dissipative dynamical system with Hessian-driven damping. Application to optimization and mechanics.
- Rate of convergence of inertial gradient dynamics with time-dependent viscous damping coefficient
- Asymptotic stabilization of inertial gradient dynamics with time-dependent viscosity
- Nonsmooth mechanics and analysis. Theoretical and numerical advances
- Convergence rate of inertial forward-backward algorithm beyond Nesterov's rule
- Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity
- An inertial proximal algorithm with dry friction: finite convergence results
- Convergence of convex sets and of solutions of variational inequalities
- On the continuity of the Young-Fenchel transform
- Über die Methode der a priori-Schranken
- Second Order Forward-Backward Dynamical Systems For Monotone Inclusion Problems
- 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
- Variational Analysis in Sobolev and BV Spaces
- A Continuous Dynamical Newton-Like Approach to Solving Monotone Inclusions
- A Variational Approach to Nonsmooth Dynamics
- Stability of Over-Relaxations for the Forward-Backward Algorithm, Application to FISTA
- On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces
- THE HEAVY BALL WITH FRICTION METHOD, I. THE CONTINUOUS DYNAMICAL SYSTEM: GLOBAL EXPLORATION OF THE LOCAL MINIMA OF A REAL-VALUED FUNCTION BY ASYMPTOTIC ANALYSIS OF A DISSIPATIVE DYNAMICAL SYSTEM
- Convergence Rates of Inertial Forward-Backward Algorithms
- Asymptotic for a second-order evolution equation with convex potential andvanishing damping term
- Rate of convergence of the Nesterov accelerated gradient method in the subcritical case α ≤ 3
- Finite Convergence of Proximal-Gradient Inertial Algorithms Combining Dry Friction with Hessian-Driven Damping
- A second-order dynamical approach with variable damping to nonconvex smooth minimization
- Fast Proximal Methods via Time Scaling of Damped Inertial Dynamics
- Some methods of speeding up the convergence of iteration methods
- An introduction to continuous optimization for imaging
- Convex analysis and monotone operator theory in Hilbert spaces
This page was built for publication: