Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A flexible outlier detector based on a topology given by graph
  communities   Outlier, or anomaly, detection is essential for optimal performance of
machine learning methods and statistical predictive models. It is not just a
technical step in a data cleaning process but a key topic in many fields such
as fraudulent document detection, in medical applications and assisted
diagnosis systems or detecting security threats. In contrast to
population-based methods, neighborhood based local approaches are simple
flexible methods that have the potential to perform well in small sample size
unbalanced problems. However, a main concern of local approaches is the impact
that the computation of each sample neighborhood has on the method performance.
Most approaches use a distance in the feature space to define a single
neighborhood that requires careful selection of several parameters. This work
presents a local approach based on a local measure of the heterogeneity of
sample labels in the feature space considered as a topological manifold.
Topology is computed using the communities of a weighted graph codifying mutual
nearest neighbors in the feature space. This way, we provide with a set of
multiple neighborhoods able to describe the structure of complex spaces without
parameter fine tuning. The extensive experiments on real-world data sets show
that our approach overall outperforms, both, local and global strategies in
multi and single view settings.

31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an