Flat minima are illusory; generalization is driven by weakness, a reparameterization-invariant measure of compatible completions that predicts performance better than sharpness on MNIST and Fashion-MNIST.
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A continuum formulation of adaptive transport networks identifies a finite-wavelength instability with -1/4 wavelength scaling that selects the intrinsic spatial scale of conducting structures.
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Are Flat Minima an Illusion?
Flat minima are illusory; generalization is driven by weakness, a reparameterization-invariant measure of compatible completions that predicts performance better than sharpness on MNIST and Fashion-MNIST.
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Length-scale selection in adaptive transport networks
A continuum formulation of adaptive transport networks identifies a finite-wavelength instability with -1/4 wavelength scaling that selects the intrinsic spatial scale of conducting structures.