Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New types of nonlinear auto-correlations of bivariate data and their
  applications   The paper introduces new types of nonlinear correlations between bivariate
data sets and derives nonlinear auto-correlations on the same data set. These
auto-correlations are of different types to match signals with different types
of nonlinearities. Examples are cited in all cases to make the definitions
meaningful. Next correlogram diagrams are drawn separately in all cases; from
these diagrams proper time lags/delays are determined. These give rise to
independent coordinates of the attractors. Finally three dimensional attractors
are reconstructed in each case separately with the help of these independent
coordinates. Moreover for the purpose of making proper distinction between the
signals, the attractors so reconstructed are quantified by a new technique
called ellipsoid fit.

2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an