Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An improvement of the convergence proof of the ADAM-Optimizer   A common way to train neural networks is the Backpropagation. This algorithm
includes a gradient descent method, which needs an adaptive step size. In the
area of neural networks, the ADAM-Optimizer is one of the most popular adaptive
step size methods. It was invented in \cite{Kingma.2015} by Kingma and Ba. The
$5865$ citations in only three years shows additionally the importance of the
given paper. We discovered that the given convergence proof of the optimizer
contains some mistakes, so that the proof will be wrong. In this paper we give
an improvement to the convergence proof of the ADAM-Optimizer.

31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
2
The categories of this paper are: math