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

Lam M. Nguyen; Phuong Ha Nguyen; Dzung T. Phan; Jayant R. Kalagnanam; Marten van Dijk

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arXiv · 1901.07634

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

Lam M. Nguyen·Phuong Ha Nguyen·Dzung T. Phan·Jayant R. Kalagnanam·Marten van Dijk

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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 $\mathcal{O}(1/t)$ 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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BibTeX RIS

Lam M. Nguyen, Phuong Ha Nguyen, Dzung T. Phan, Jayant R. Kalagnanam, Marten van Dijk. 2019-02-28. DTN: A Learning Rate Scheme with Convergence Rate of $\mathcal{O}(1/t)$ for SGD. https://arxiv.org/abs/1901.07634

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