04:00
2026-06-03
arxiv.org
machine-learning
Spectral Asymptotics of Neural Network Loss Landscapes: An Exact Decomposition of the Curvature Exponent
A new study proves the Spectral Alignment Decomposition, which explains why the curvature exponent $\alpha$ — governing how Hessian eigenvalues scale with gradient singular values — varies across neur…