Residual network Jacobians under Frobenius normalization have singular spectra that form trace-normalized Cartan orbits satisfying slack-aware margin inequalities bounding exponent drift to order (log M)/L in zero-slack cases.
On the Optimization of Deep Networks: Implicit Acceleration by Overparameterization
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Geometric and Spectral Alignment for Deep Neural Network I
Residual network Jacobians under Frobenius normalization have singular spectra that form trace-normalized Cartan orbits satisfying slack-aware margin inequalities bounding exponent drift to order (log M)/L in zero-slack cases.