Optimal convergence rate of inertial gradient system with flat geometries and perturbations
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Publication:6569359
DOI10.3934/EECT.2024002zbMATH Open1541.34071WikidataQ129964414 ScholiaQ129964414MaRDI QIDQ6569359
Publication date: 9 July 2024
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Numerical mathematical programming methods (65K05) Convex programming (90C25) Asymptotic properties of solutions to ordinary differential equations (34D05)
Cites Work
- Asymptotic for the perturbed heavy ball system with vanishing damping term
- 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
- Asymptotic stabilization of inertial gradient dynamics with time-dependent viscosity
- Long time behavior for a semilinear hyperbolic equation with asymptotically vanishing damping term and convex potential
- Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity
- Optimal convergence rates for damped inertial gradient dynamics with flat geometries
- 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
- Rate of convergence of the Nesterov accelerated gradient method in the subcritical case α ≤ 3
- Optimal Convergence Rates for Nesterov Acceleration
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