Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal approximation of symmetric and anti-symmetric functions   We consider universal approximations of symmetric and anti-symmetric
functions, which are important for applications in quantum physics, as well as
other scientific and engineering computations. We give constructive
approximations with explicit bounds on the number of parameters with respect to
the dimension and the target accuracy $\epsilon$. While the approximation still
suffers from the curse of dimensionality, to the best of our knowledge, these
are the first results in the literature with explicit error bounds for
functions with symmetry or anti-symmetry constraints.

21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph