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arxiv: 1901.07634 · v3 · pith:V5TV2BW4new · submitted 2019-01-22 · 💻 cs.LG · math.OC· stat.ML

DTN: A Learning Rate Scheme with Convergence Rate of mathcal{O}(1/t) for SGD

classification 💻 cs.LG math.OCstat.ML
keywords lemmaratesomebecauseclaimsconvergencecorollarycriterion
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This paper has some inconsistent results, i.e., we made some failed claims because we did some mistakes for using the test criterion for a series. Precisely, our claims on the convergence rate of $\mathcal{O}(1/t)$ of SGD presented in Theorem 1, Corollary 1, Theorem 2 and Corollary 2 are wrongly derived because they are based on Lemma 5. In Lemma 5, we do not correctly use the test criterion for a series. Hence, the result of Lemma 5 is not valid. We would like to thank the community for pointing out this mistake!

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