A Speed Restart Scheme for a Dynamics with Hessian-Driven Damping

Juan José Maulén, Juan Peypouquet*

*Corresponding author voor dit werk

OnderzoeksoutputAcademicpeer review

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Samenvatting

In this paper, we analyze a speed restarting scheme for the inertial dynamics with Hessian-driven damping, introduced by Attouch et al. (J Differ Equ 261(10):5734–5783, 2016). We establish a linear convergence rate for the function values along the restarted trajectories. Numerical experiments suggest that the Hessian-driven damping and the restarting scheme together improve the performance of the dynamics and corresponding iterative algorithms in practice.

Originele taal-2English
Pagina's (van-tot)831-855
Aantal pagina's25
TijdschriftJournal of Optimization Theory and Applications
Volume199
Nummer van het tijdschrift2
DOI's
StatusPublished - nov.-2023

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