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About this paper

Qingyue Zhao, Xuheng Li, Quanquan Gu

The authors analyze constant-stepsize online SGD with tail averaging for linear regression. They show burn-in damps initial error in fast directions while fluctuations transfer energy into slow directions that persist. Under a spectral-feedback condition, upper and lower risk bounds match up to constants under stated assumptions. A two-dimensional example yields a polynomial risk lower bound, unlike an exponentially smaller lower bound.

Summary by alphaXiv.

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