For a generalized inertial ODE and its discretizations, the paper proves fast sublinear rates under a Polyak-Lojasiewicz condition and linear rates under strong convexity, for all damping parameters α>0.
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Fast convex optimization via inertial systems with asymptotically vanishing viscosity and Hessian-driven damping
For a generalized inertial ODE and its discretizations, the paper proves fast sublinear rates under a Polyak-Lojasiewicz condition and linear rates under strong convexity, for all damping parameters α>0.