Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: DTN: A Learning Rate Scheme with Convergence Rate of $\mathcal{O}(1/t)$
  for SGD   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!

8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ