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

Abstract

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 O(1/t)\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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