Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mixture model-based functional discriminant analysis for curve
  classification   Statistical approaches for Functional Data Analysis concern the paradigm for
which the individuals are functions or curves rather than finite dimensional
vectors. In this paper, we particularly focus on the modeling and the
classification of functional data which are temporal curves presenting regime
changes over time. More specifically, we propose a new mixture model-based
discriminant analysis approach for functional data using a specific hidden
process regression model. Our approach is particularly adapted to both handle
the problem of complex-shaped classes of curves, where each class is composed
of several sub-classes, and to deal with the regime changes within each
homogeneous sub-class. The model explicitly integrates the heterogeneity of
each class of curves via a mixture model formulation, and the regime changes
within each sub-class through a hidden logistic process. The approach allows
therefore for fitting flexible curve-models to each class of complex-shaped
curves presenting regime changes through an unsupervised learning scheme, to
automatically summarize it into a finite number of homogeneous clusters, each
of them is decomposed into several regimes. The model parameters are learned by
maximizing the observed-data log-likelihood for each class by using a dedicated
expectation-maximization (EM) algorithm. Comparisons on simulated data and real
data with alternative approaches, including functional linear discriminant
analysis and functional mixture discriminant analysis with polynomial
regression mixtures and spline regression mixtures, show that the proposed
approach provides better results regarding the discrimination results and
significantly improves the curves approximation.

8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas