Derives layer-wise recursions for finite-width tensors under orthogonal initialization that reproduce the observed large-depth stability of nonlinear networks.
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A G-only collective kernel EFT for pre-activation ResNets yields accurate mean kernel predictions at all depths but accumulates O(1) errors in covariance and fails for the 1/n correction due to source closure breakdown.
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Criticality and Saturation in Orthogonal Neural Networks
Derives layer-wise recursions for finite-width tensors under orthogonal initialization that reproduce the observed large-depth stability of nonlinear networks.
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Collective Kernel EFT for Pre-activation ResNets
A G-only collective kernel EFT for pre-activation ResNets yields accurate mean kernel predictions at all depths but accumulates O(1) errors in covariance and fails for the 1/n correction due to source closure breakdown.
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