Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of Deep Neural Networks with Quasi-optimal polynomial
  approximation rates   We show the existence of a deep neural network capable of approximating a
wide class of high-dimensional approximations. The construction of the proposed
neural network is based on a quasi-optimal polynomial approximation. We show
that this network achieves an error rate that is sub-exponential in the number
of polynomial functions, $M$, used in the polynomial approximation. The
complexity of the network which achieves this sub-exponential rate is shown to
be algebraic in $M$.

22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph