Convergence Rates of Damped Inertial Dynamics under Geometric Conditions and Perturbations

DOI10.1137/19M1272767zbMath1453.34076MaRDI QIDQ3300770

Aude Rondepierre, Charles Dossal, Unnamed Author

Publication date: 30 July 2020

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

zbMATH Keywords

optimizationrate of convergenceLyapunov functionsODEsŁojasiewicz property

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (11)

Convergence Rates of the Heavy Ball Method for Quasi-strongly Convex Optimization ⋮ Inertial primal-dual dynamics with damping and scaling for linearly constrained convex optimization problems ⋮ Fast convergence of inertial dynamics with Hessian-driven damping under geometry assumptions ⋮ Uniting Nesterov and heavy ball methods for uniform global asymptotic stability of the set of minimizers ⋮ Convergence rates of the heavy-ball method under the Łojasiewicz property ⋮ Optimal decay rates for semi-linear non-autonomous evolution equations with vanishing damping ⋮ Optimal convergence rates for damped inertial gradient dynamics with flat geometries ⋮ Fast convergence of inertial gradient dynamics with multiscale aspects ⋮ Convergence Rates of Inertial Primal-Dual Dynamical Methods for Separable Convex Optimization Problems ⋮ A control-theoretic perspective on optimal high-order optimization ⋮ Convergence rates of damped inerial dynamics from multi-degree-of-freedom system

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