Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distribution and Symmetric Distribution Regression Model for
  Histogram-Valued Variables   Histogram-valued variables are a particular kind of variables studied in
Symbolic Data Analysis where to each entity under analysis corresponds a
distribution that may be represented by a histogram or by a quantile function.
Linear regression models for this type of data are necessarily more complex
than a simple generalization of the classical model: the parameters cannot be
negative still the linear relationship between the variables must be allowed to
be either direct or inverse. In this work we propose a new linear regression
model for histogram-valued variables that solves this problem, named
Distribution and Symmetric Distribution Regression Model. To determine the
parameters of this model it is necessary to solve a quadratic optimization
problem, subject to non-negativity constraints on the unknowns; the error
measure between the predicted and observed distributions uses the Mallows
distance. As in classical analysis, the model is associated with a
goodness-of-fit measure whose values range between 0 and 1. Using the proposed
model, applications with real and simulated data are presented.

10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin