• Corpus ID: 220768553

A Mathematical Assessment of the Isolation Tree Method for Outliers Detection in Big Data

  title={A Mathematical Assessment of the Isolation Tree Method for Outliers Detection in Big Data},
  author={Fernando A. Morales and Jorge M. Ram'irez and Edgar A. Ramos},
  journal={arXiv: Methodology},
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… 

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