Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Average best $m$-term approximation   We introduce the concept of average best $m$-term approximation widths with
respect to a probability measure on the unit ball of $\ell_p^n$. We estimate
these quantities for the embedding $id:\ell_p^n\to\ell_q^n$ with $0<p\le q\le
\infty$ for the normalized cone and surface measure. Furthermore, we consider
certain tensor product weights and show that a typical vector with respect to
such a measure exhibits a strong compressible (i.e. nearly sparse) structure.

31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int