Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Piecewise regression mixture for simultaneous functional data clustering
  and optimal segmentation   This paper introduces a novel mixture model-based approach for simultaneous
clustering and optimal segmentation of functional data which are curves
presenting regime changes. The proposed model consists in a finite mixture of
piecewise polynomial regression models. Each piecewise polynomial regression
model is associated with a cluster, and within each cluster, each piecewise
polynomial component is associated with a regime (i.e., a segment). We derive
two approaches for learning the model parameters. The former is an estimation
approach and consists in maximizing the observed-data likelihood via a
dedicated expectation-maximization (EM) algorithm. A fuzzy partition of the
curves in K clusters is then obtained at convergence by maximizing the
posterior cluster probabilities. The latter however is a classification
approach and optimizes a specific classification likelihood criterion through a
dedicated classification expectation-maximization (CEM) algorithm. The optimal
curve segmentation is performed by using dynamic programming. In the
classification approach, both the curve clustering and the optimal segmentation
are performed simultaneously as the CEM learning proceeds. We show that the
classification approach is the probabilistic version that generalizes the
deterministic K-means-like algorithm proposed in H\'ebrail et al. (2010). The
proposed approach is evaluated using simulated curves and real-world curves.
Comparisons with alternatives including regression mixture models and the
K-means like algorithm for piecewise regression demonstrate the effectiveness
of the proposed approach.

18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph