A Hopfield-type spin glass constructed from a feedforward network yields replica overlap statistics that serve as a per-instance descriptor of the network's generalization, capacity, and robustness.
Symmetry & Critical Points
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abstract
Critical points of an invariant function may or may not be symmetric. We prove, however, that if a symmetric critical point exists, those adjacent to it are generically symmetry breaking. This mathematical mechanism is shown to carry important implications for our ability to efficiently minimize invariant nonconvex functions, in particular those associated with neural networks.
fields
cond-mat.dis-nn 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
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A Spin Glass Characterization of Neural Networks
A Hopfield-type spin glass constructed from a feedforward network yields replica overlap statistics that serve as a per-instance descriptor of the network's generalization, capacity, and robustness.