The authors prove exponential convergence for a Hessian-damped heavy-ball ODE and linear convergence for its Heavy Ball and Nesterov-type discretizations on strongly quasiconvex functions.
Alvarez, On the minimizing property of a second order dissipative dynamical system in Hilbert spaces, SIAM J
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.OC 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization
The authors prove exponential convergence for a Hessian-damped heavy-ball ODE and linear convergence for its Heavy Ball and Nesterov-type discretizations on strongly quasiconvex functions.