Proliferation of non-linear excitations in the piecewise-linear perceptron

We investigate the properties of local minima of the energy landscape of a continuous non-convex optimization problem, the spherical perceptron with piecewise linear cost function and show that they are critical, marginally stable and displaying a set of pseudogaps, singularities and non-linear exci...

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Bibliographic Details
Main Author: Antonio Sclocchi, Pierfrancesco Urbani
Format: Article
Language:English
Published: SciPost 2021-01-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.10.1.013