There exists a differentiable convex potential in R^2 such that the Nesterov ODE converges to the minimizer along a trajectory of infinite path length.
May , Asymptotic for a second-order evolution equation with convex potential and vanishing damping term, Turkish Journal of Mathematics , 41 (2017), pp
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Nesterov Flow May Travel Infinitely Long to Converge to a Minimizer
There exists a differentiable convex potential in R^2 such that the Nesterov ODE converges to the minimizer along a trajectory of infinite path length.