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News/SGD at the Edge of Stability: The Stochastic Sharpness Gap
arxiv
PublishedApril 24, 2026 at 4:00 AM
—neutral

SGD at the Edge of Stability: The Stochastic Sharpness Gap

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arXiv:2604.21016v1 Announce Type: cross Abstract: When training neural networks with full-batch gradient descent (GD) and step size $\eta$, the largest eigenvalue of the Hessian -- the sharpness $S(\boldsymbol{\theta})$ -- rises to $2/\eta$ and hovers there, a phenomenon termed the Edge of Stability

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