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Paper · arXiv

NerVE: Nonlinear Eigenspectrum Dynamics in LLM Feed-Forward Networks

We introduce NerVE, a unified eigenspectral framework for understanding how feed-forward networks (FFNs) in large language models (LLMs) organize and regulate information flow in high-dimensional latent space. Despite FFNs dominating the parameter budget, their high-dimensional dynamics remain poorly understood. NerVE addresses this gap through lightweight, memory-efficient tracking of eigenspectrum dynamics via four complementary metrics: Spectral Entropy (dispersion), Participation Ratio (effective dimensionality), Eigenvalue Early Enrichment (top-heaviness), and Jensen-Shannon divergence (distributional shifts). Our key insight is that FFN nonlinearities reinject variance across eigenm...

AuthorsNandan Kumar Jha, Brandon Reagen
Primary categorycs.LG
Published6 March 2026
Last updated at source16 March 2026
cs.LG
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