Ontology highlight
ABSTRACT:
SUBMITTER: Bot RI
PROVIDER: S-EPMC7077366 | biostudies-literature | 2020
REPOSITORIES: biostudies-literature
Boţ Radu Ioan RI Csetnek Ernö Robert ER László Szilárd Csaba SC
Applicable analysis 20180709 3
We investigate a second-order dynamical system with variable damping in connection with the minimization of a nonconvex differentiable function. The dynamical system is formulated in the spirit of the differential equation which models Nesterov's accelerated convex gradient method. We show that the generated trajectory converges to a critical point, if a regularization of the objective function satisfies the Kurdyka- Lojasiewicz property. We also provide convergence rates for the trajectory form ...[more]