Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Mathematical Assessment of the Isolation Tree Method for Outliers
  Detection in Big Data   In this paper, the mathematical analysis of the Isolation Random Forest
Method (IRF Method) for anomaly detection is presented. We show that the IRF
space can be endowed with a probability induced by the Isolation Tree algorithm
(iTree). In this setting, the convergence of the IRF method is proved using the
Law of Large Numbers. A couple of counterexamples are presented to show that
the original method is inconclusive and no quality certificate can be given,
when using it as a means to detect anomalies. Hence, an alternative version of
IRF is proposed, whose mathematical foundation, as well as its limitations, are
fully justified. Finally, numerical experiments are presented to compare the
performance of the classic IRF with the proposed one.

30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con