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Reverse Nearest Neighbors in Unsupervised Distance-Based Outlier
Detection
Abstract:
Outlier detection in high-dimensional data presents various challenges
resulting from the “curse of dimensionality.” A prevailing view is that
distance concentration, i.e., the tendency of distances in high-dimensional
data to become indiscernible, hinders the detection of outliers by making
distance-based methods label all points as almost equally good outliers. In
this paper we provide evidence supporting the opinion that such a view is
too simple, by demonstrating that distance-based methods can produce
more contrasting outlier scores in high-dimensional settings. Furthermore,
we show that high dimensionality can have a different impact, by
reexamining the notion of reverse nearest neighbors in the unsupervised
outlier-detection context. Namely, it was recently observed that the
distribution of points’ reverse-neighbor counts becomes skewed in high
dimensions, resulting in the phenomenon known as hubness. We provide
insight into how some points (antihubs) appear very infrequently in k-NN
lists of other points, and explain the connection between antihubs, outliers,
and existing unsupervised outlier-detection methods. By evaluating the
classic k-NN method, the angle-based technique (ABOD) designed for
high-dimensional data, the density-based local outlier factor (LOF) and
influenced outlierness (INFLO) methods, and antihub-based methods on
various synthetic and real-world data sets, we offer novel insight into the
usefulness of reverse neighbor counts in unsupervised outlier detection.
Existing System:
The task of detecting outliers can be categorized as supervised, semi-
supervised, and unsupervised, depending on the existence of labels for
outliers and/or regular instances. Among these categories, unsupervised
methods are more widely applied, because the other categories require
accurate and representative labels that are often prohibitively expensive to
obtain.
Unsupervised methods include distance-based methods that mainly rely
on a measure of distance or similarity in order to detect outliers.
Proposed System:
It is crucial to understand how the increase of dimensionality impacts
outlier detection. As explained the actual challenges posed by the “curse of
dimensionality” differ from the commonly accepted view that every point
becomes an almost equally good outlier in high-dimensional space [9]. We
will present further evidence which challenges this view, motivating the
(re)examination of methods.
Hardware Requirements:
• System : Pentium IV 2.4 GHz.
• Hard Disk : 40 GB.
• Floppy Drive : 1.44 Mb.
• Monitor : 15 VGA Colour.
• Mouse : Logitech.
• RAM : 256 Mb.
Software Requirements:
• Operating system : - Windows XP.
• Front End : - JSP
• Back End : - SQL Server
Software Requirements:
• Operating system : - Windows XP.
• Front End : - .Net
• Back End : - SQL Server

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Reverse nearest neighbors in unsupervised distance based outlier detection

  • 1. Reverse Nearest Neighbors in Unsupervised Distance-Based Outlier Detection Abstract: Outlier detection in high-dimensional data presents various challenges resulting from the “curse of dimensionality.” A prevailing view is that distance concentration, i.e., the tendency of distances in high-dimensional data to become indiscernible, hinders the detection of outliers by making distance-based methods label all points as almost equally good outliers. In this paper we provide evidence supporting the opinion that such a view is too simple, by demonstrating that distance-based methods can produce more contrasting outlier scores in high-dimensional settings. Furthermore, we show that high dimensionality can have a different impact, by reexamining the notion of reverse nearest neighbors in the unsupervised outlier-detection context. Namely, it was recently observed that the distribution of points’ reverse-neighbor counts becomes skewed in high dimensions, resulting in the phenomenon known as hubness. We provide insight into how some points (antihubs) appear very infrequently in k-NN lists of other points, and explain the connection between antihubs, outliers, and existing unsupervised outlier-detection methods. By evaluating the classic k-NN method, the angle-based technique (ABOD) designed for high-dimensional data, the density-based local outlier factor (LOF) and
  • 2. influenced outlierness (INFLO) methods, and antihub-based methods on various synthetic and real-world data sets, we offer novel insight into the usefulness of reverse neighbor counts in unsupervised outlier detection. Existing System: The task of detecting outliers can be categorized as supervised, semi- supervised, and unsupervised, depending on the existence of labels for outliers and/or regular instances. Among these categories, unsupervised methods are more widely applied, because the other categories require accurate and representative labels that are often prohibitively expensive to obtain. Unsupervised methods include distance-based methods that mainly rely on a measure of distance or similarity in order to detect outliers. Proposed System: It is crucial to understand how the increase of dimensionality impacts outlier detection. As explained the actual challenges posed by the “curse of dimensionality” differ from the commonly accepted view that every point becomes an almost equally good outlier in high-dimensional space [9]. We will present further evidence which challenges this view, motivating the (re)examination of methods. Hardware Requirements: • System : Pentium IV 2.4 GHz.
  • 3. • Hard Disk : 40 GB. • Floppy Drive : 1.44 Mb. • Monitor : 15 VGA Colour. • Mouse : Logitech. • RAM : 256 Mb. Software Requirements: • Operating system : - Windows XP. • Front End : - JSP • Back End : - SQL Server Software Requirements: • Operating system : - Windows XP. • Front End : - .Net • Back End : - SQL Server