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Poster
A Dynamical Systems Perspective on Nesterov Acceleration
Michael Muehlebach · Michael Jordan
We present a dynamical system framework for understanding Nesterov's accelerated gradient method. In contrast to earlier work, our derivation does not rely on a vanishing step size argument. We show that Nesterov acceleration arises from discretizing an ordinary differential equation with a semi-implicit Euler integration scheme. We analyze both the underlying differential equation as well as the discretization to obtain insights into the phenomenon of acceleration. The analysis suggests that a curvature-dependent damping term lies at the heart of the phenomenon. We further establish connections between the discretized and the continuous-time dynamics.
Author Information
Michael Muehlebach (UC Berkeley)
Michael Jordan (UC Berkeley)
Related Events (a corresponding poster, oral, or spotlight)
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2019 Oral: A Dynamical Systems Perspective on Nesterov Acceleration »
Wed. Jun 12th 11:35 -- 11:40 PM Room Room 103
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