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Self-Consistent Dynamical Field Theory of Kernel Evolution in Wide Neural Networks

NeurIPS 2022 · Architectures and efficiency › RNNs and normalization · approach: Theory of depth and width · 17 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use full self-consistent DMFT instead of gradient independence ansatzkernel dynamics prediction · deep linear network, large gamma_0kernel/loss prediction accuracyHelped
use full DMFT instead of leading-order perturbation theorykernel dynamics prediction · L=5 linear network, gamma_0=1.0loss and kernel agreement with NNHelped
increase feature learning strength gamma_0wide CNN · two-class CIFARtraining speedHelped
increase gamma_0 in depth-7 CNNwide CNN · two-class CIFARfinal test accuracyNo clear effect

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