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On the Last-Iterate Convergence of Shuffling Gradient Methods
March 13, 2024, 4:42 a.m. | Zijian Liu, Zhengyuan Zhou
cs.LG updates on arXiv.org arxiv.org
Abstract: Shuffling gradient methods, which are also known as stochastic gradient descent (SGD) without replacement, are widely implemented in practice, particularly including three popular algorithms: Random Reshuffle (RR), Shuffle Once (SO), and Incremental Gradient (IG). Compared to the empirical success, the theoretical guarantee of shuffling gradient methods was not well-understanding for a long time. Until recently, the convergence rates had just been established for the average iterate for convex functions and the last iterate for strongly …
abstract algorithms arxiv convergence cs.lg gradient incremental iterate math.oc popular practice random replacement stat.ml stochastic success type
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