Exit Time Analysis for Approximations of Gradient Descent Trajectories Around Saddle Points

1 Jun 2020Rishabh DixitWaheed U. Bajwa

This paper considers the problem of understanding the exit time for trajectories of gradient-related first-order methods from saddle neighborhoods under some initial boundary conditions. Given the `flat' geometry around saddle points, first-order methods can struggle in escaping these regions in a fast manner due to the small magnitudes of gradients encountered... (read more)

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