For random 2-layer ReLU networks the dominant eigenspaces of the Fisher information matrix are spanned by spherical harmonics of degree ≤2 and capture 97.7% of the trace independently of parameter count.
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Approximating Simple ReLU Networks based on Spectral Decomposition of Fisher Information
For random 2-layer ReLU networks the dominant eigenspaces of the Fisher information matrix are spanned by spherical harmonics of degree ≤2 and capture 97.7% of the trace independently of parameter count.