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Mining Deviants in a Time Series Database.

H. V. Jagadish, Nick Koudas, S. Muthukrishnan: Mining Deviants in a Time Series Database. VLDB 1999: 102-113
@inproceedings{DBLP:conf/vldb/KoudasMJ99,
  author    = {H. V. Jagadish and
               Nick Koudas and
               S. Muthukrishnan},
  editor    = {Malcolm P. Atkinson and
               Maria E. Orlowska and
               Patrick Valduriez and
               Stanley B. Zdonik and
               Michael L. Brodie},
  title     = {Mining Deviants in a Time Series Database},
  booktitle = {VLDB'99, Proceedings of 25th International Conference on Very
               Large Data Bases, September 7-10, 1999, Edinburgh, Scotland,
               UK},
  publisher = {Morgan Kaufmann},
  year      = {1999},
  isbn      = {1-55860-615-7},
  pages     = {102-113},
  ee        = {db/conf/vldb/KoudasMJ99.html},
  crossref  = {DBLP:conf/vldb/99},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}
BibTeX

Abstract

Identifiying outliers is an important data analysis function. Statisticans have long studied techniques to identify outliers is a data set in the context of fitting the data to some model. In the case of time series data, the situation is more murky. For instance, the ``typical'' value cound ``drift'' up or down over time, so the extrema may not necessarily be interesting. We wish to identify data points that are somehow anomalous or ``surprising''.

We formally define the notion of a deviant in a time series, based on a representation sparsity metric. We develop an efficient algorithm to identify devinats is a time series. We demonstrate how this technique can be used to locate interesting artifacts in time series data, and present experimental evidence of the value of our technique.

As a side benefit, our algorithm are able to produce histogram representations of data, that have substantially lower error than ``optimal histograms'' for the same total storage, including both histogram buckets and the deviants stored separately. This is of independent interest for selectivity estimation.

Copyright © 1999 by the VLDB Endowment. Permission to copy without fee all or part of this material is granted provided that the copies are not made or distributed for direct commercial advantage, the VLDB copyright notice and the title of the publication and its date appear, and notice is given that copying is by the permission of the Very Large Data Base Endowment. To copy otherwise, or to republish, requires a fee and/or special permission from the Endowment.


Online Paper

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Printed Edition

Malcolm P. Atkinson, Maria E. Orlowska, Patrick Valduriez, Stanley B. Zdonik, Michael L. Brodie (Eds.): VLDB'99, Proceedings of 25th International Conference on Very Large Data Bases, September 7-10, 1999, Edinburgh, Scotland, UK. Morgan Kaufmann 1999, ISBN 1-55860-615-7
Contents BibTeX

References

[AAR95]
Andreas Arning, Rakesh Agrawal, Prabhakar Raghavan: A Linear Method for Deviation Detection in Large Databases. KDD 1996: 164-169 BibTeX
[Bel54]
...
[Cha84]
...
[GMP97]
Phillip B. Gibbons, Yossi Matias, Viswanath Poosala: Fast Incremental Maintenance of Approximate Histograms. VLDB 1997: 466-475 BibTeX
[HDY99]
Jiawei Han, Guozhu Dong, Yiwen Yin: Efficient Mining of Partial Periodic Patterns in Time Series Database. ICDE 1999: 106-115 BibTeX
[Ioa93]
Yannis E. Ioannidis: Universality of Serial Histograms. VLDB 1993: 256-267 BibTeX
[IP95]
Yannis E. Ioannidis, Viswanath Poosala: Balancing Histogram Optimality and Practicality for Query Result Size Estimation. SIGMOD Conference 1995: 233-244 BibTeX
[JKM+98]
H. V. Jagadish, Nick Koudas, S. Muthukrishnan, Viswanath Poosala, Kenneth C. Sevcik, Torsten Suel: Optimal Histograms with Quality Guarantees. VLDB 1998: 275-286 BibTeX
[KN98]
Edwin M. Knorr, Raymond T. Ng: Algorithms for Mining Distance-Based Outliers in Large Datasets. VLDB 1998: 392-403 BibTeX
[PI97]
Viswanath Poosala, Yannis E. Ioannidis: Selectivity Estimation Without the Attribute Value Independence Assumption. VLDB 1997: 486-495 BibTeX
[PIHS96]
Viswanath Poosala, Yannis E. Ioannidis, Peter J. Haas, Eugene J. Shekita: Improved Histograms for Selectivity Estimation of Range Predicates. SIGMOD Conference 1996: 294-305 BibTeX

Referenced by

  1. Themistoklis Palpanas: Knowledge Discovery in Data Warehouses. SIGMOD Record 29(3): 88-100(2000)
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