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New research details SGD scaling limits at flat minima

A new paper explores the scaling limits of Stochastic Gradient Descent (SGD) when applied to convex objectives with flat minima. The research demonstrates that for such objectives, the behavior of SGD fundamentally changes, leading to a different scaling law and potentially non-Gaussian limits as the stepsize approaches zero. The findings are particularly relevant for understanding optimization in scenarios where the loss landscape is not strongly convex. AI

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New research details SGD scaling limits at flat minima

COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Jingyi Zhang, Cheng Mao, Debankur Mukherjee ·

    Scaling Limits of Constant-Stepsize SGD at Flat Minima

    arXiv:2607.16384v1 Announce Type: cross Abstract: For stochastic gradient descent (SGD) with a constant stepsize $\alpha$, the invariant law of the iterates, centered at a minimizer, describes the behavior of the algorithm over long time horizons. In the strongly convex case, thi…