Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimating nonlinear regression errors without doing regression   A method for estimating nonlinear regression errors and their distributions
without performing regression is presented. Assuming continuity of the modeling
function the variance is given in terms of conditional probabilities extracted
from the data. For N data points the computational demand is N2. Comparing the
predicted residual errors with those derived from a linear model assumption
provides a signal for nonlinearity. The method is successfully illustrated with
data generated by the Ikeda and Lorenz maps augmented with noise. As a
by-product the embedding dimensions of these maps are also extracted.

31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn