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The Lifecycle of the Spectral Edge: From Gradient Learning to Weight-Decay Compression

Event Summary

arXiv:2604.07380v1 Announce Type: new Abstract: We decompose the spectral edge -- the dominant direction of the Gram matrix of parameter updates -- into its gradient and weight-decay components during grokking in two sequence tasks (Dyck-1 and SCAN). We find a sharp two-phase lifecycle: before grokk

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