Encyclopedia of Database Systems

2018 Edition
| Editors: Ling Liu, M. Tamer Özsu

Clustering on Streams

  • Suresh Venkatasubramanian
Reference work entry
DOI: https://doi.org/10.1007/978-1-4614-8265-9_68

Definition

An instance of a clustering problem (see clustering) consists of a collection of points in a distance space, a measure of the cost of a clustering, and a measure of the size of a clustering. The goal is to compute a partitioning of the points into clusters such that the cost of this clustering is minimized, while the size is kept under some predefined threshold. Less commonly, a threshold for the cost is specified, while the goal is to minimize the size of the clustering.

A data stream (see data streams) is a sequence of data presented to an algorithm one item at a time. A stream algorithm, upon reading an item, must perform some action based on this item and the contents of its working space, which is sublinear in the size of the data sequence. After this action is performed (which might include copying the item to its working space), the item is discarded.

Clustering on streams refers to the problem of clustering a data set presented as a data stream.

Historical Background

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.University of UtahSalt Lake CityUSA

Section editors and affiliations

  • Divesh Srivastava
    • 1
  1. 1.AT&T Labs - ResearchAT&TBedminsterUSA