AI RESEARCH
Product-Stability: Provable Convergence for Gradient Descent on the Edge of Stability
arXiv CS.LG
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ArXi:2604.02653v1 Announce Type: new Empirically, modern often occurs at the Edge of Stability (EoS), where the sharpness of the loss exceeds the threshold below which classical convergence analysis applies. Despite recent progress, existing theoretical explanations of EoS either rely on restrictive assumptions or focus on specific squared-loss-type objectives. In this work, we