The technique of estimate sequences has long been considered difficult to understand and deploy, leading many researchers to generate alternative, more ...

One promising general approach to the analy- sis of acceleration has been to analyze the continuous-time limit of accelerated methods (Su et al., 2016; Krichene ...

This connection allows us to develop a unified analysis of many existing accelerated algorithms, introduce new algorithms, and strengthen the connection between ...

Nov 8, 2016 · Momentum methods play a significant role in optimization. Examples include Nesterov's accelerated gradient method and the conditional gradient ...

Accelerated optimization methods, such as Nesterov's accelerated gradient method, play a significant role in optimization. Several accelerated methods are ...

It is shown that this connection between Nesterov's accelerated gradient descent method and an Ordinary Differential Equation (ODE) can be extended to the ...

We prove, using a Lyapunov function approach, that for both the convex and strongly convex cases, the algorithms converge at the optimal rate for the last.

Jan 1, 2021 · Abstract. Accelerated optimization methods, such as Nesterov's accelerated gradient method, play a significant role in optimization. Several ...

Momentum methods play a central role in optimization. Several momentum methods are provably optimal, and all use a technique called estimate sequences to ...

Mar 12, 2018 · Abstract. Momentum methods play a significant role in optimization. Examples include Nesterov's accelerated gradient method and the ...