arXiv cs.LGOctober 1, 2026
Stochastic Gradient Descent with Momentum is Algorithmically Stable
Excerpt
arXiv:2605.28517v2 Announce Type: replace Abstract: Stochastic gradient descent with momentum (SGDM) is one of the most widely used optimization algorithms in machine learning. While optimization properties of SGDM have been extensively studied in the literature, it remains insufficiently understood whether and when SGDM can generalize well to unseen data. In particular, it has been conjectured that while momentum accelerates training, it may degrade generalization. In this paper, we close this