New paper: why trained neural nets develop α≈2 power-law tails in their weights

burny_tech · x · 2026-11-01

A new paper, A Spectral Renormalization-Group View of Learning, argues that neural networks leave a spectral record of learning in their weights. It investigates why well-trained layers commonly develop power-law tails near α ≈ 2, and how understanding this spectral structure can inform better optimizer design and help prevent overfitting. The thread spans 11 parts.

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