Sufficient conditions for instability of the subgradient method with constant step size

Published 27 Nov 2022 in math.OC | (2211.14852v2)

Abstract: We provide sufficient conditions for instability of the subgradient method with constant step size around a local minimum of a locally Lipschitz semi-algebraic function. They are satisfied by several spurious local minima arising in robust principal component analysis and neural networks.

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