Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive density estimation for clustering with Gaussian mixtures   Gaussian mixture models are widely used to study clustering problems. These
model-based clustering methods require an accurate estimation of the unknown
data density by Gaussian mixtures. In Maugis and Michel (2009), a penalized
maximum likelihood estimator is proposed for automatically selecting the number
of mixture components. In the present paper, a collection of univariate
densities whose logarithm is locally {\beta}-H\"older with moment and tail
conditions are considered. We show that this penalized estimator is minimax
adaptive to the {\beta} regularity of such densities in the Hellinger sense.

23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
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
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph