Optimal convergence rates for damped inertial gradient dynamics with flat geometries
DOI10.1007/s00245-023-09966-4OpenAlexW4360981107MaRDI QIDQ2694484
Publication date: 3 April 2023
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-023-09966-4
Convex programming (90C25) Nonlinear programming (90C30) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Asymptotic properties of solutions to ordinary differential equations (34D05) Abstract hyperbolic equations (35L90) Second-order semilinear hyperbolic equations (35L71)
Cites Work
- Unnamed Item
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- Parabolic approximation of damped wave equations via fractional powers: fast growing nonlinearities and continuity of the dynamics
- Decay rates for second order evolution equations in Hilbert spaces with nonlinear time-dependent damping
- From error bounds to the complexity of first-order descent methods for convex functions
- Rate of convergence of inertial gradient dynamics with time-dependent viscous damping coefficient
- Uniform stability of semilinear wave equations with arbitrary local memory effects versus frictional dampings
- First-order optimization algorithms via inertial systems with Hessian driven damping
- Fast convergence of dynamical ADMM via time scaling of damped inertial dynamics
- Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity
- A Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights
- Convergence Rates of Damped Inertial Dynamics under Geometric Conditions and Perturbations
- The Differential Inclusion Modeling FISTA Algorithm and Optimality of Convergence Rate in the Case b $\leq3$
- Asymptotic for a second-order evolution equation with convex potential andvanishing damping term
- Semilinear Evolution Equations and Their Applications
- Optimal energy decay rates for abstract second order evolution equations with non-autonomous damping
- Decay rates for semilinear wave equations with vanishing damping and Neumann boundary conditions
- Rate of convergence of the Nesterov accelerated gradient method in the subcritical case α ≤ 3
- Asymptotics for a second-order differential equation with nonautonomous damping and an integrable source term
- Optimal Convergence Rates for Nesterov Acceleration
- On the convergence of the continuous gradient projection method
- Some methods of speeding up the convergence of iteration methods
This page was built for publication: Optimal convergence rates for damped inertial gradient dynamics with flat geometries
