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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Format: | Article |
Language: | English |
Published: |
SciPost
2021-01-01
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Series: | SciPost Physics |
Online Access: | https://scipost.org/SciPostPhys.10.1.013 |