Local NTK positivity plus Lipschitz stability gives a local Polyak-Lojasiewicz constant lambda0 minus L_Theta times the region radius, yielding linear gradient descent convergence whenever the iterates stay in the LQCR; experiments track these diagnostics on MNIST and CIFAR-10.
Henning Petzka and Cristian Sminchisescu
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From Sublinear to Linear: Local Convergence in Finite-Width Networks via Locally Polyak-Lojasiewicz Regions
Local NTK positivity plus Lipschitz stability gives a local Polyak-Lojasiewicz constant lambda0 minus L_Theta times the region radius, yielding linear gradient descent convergence whenever the iterates stay in the LQCR; experiments track these diagnostics on MNIST and CIFAR-10.