Skip to main content

Dimensionality Reduction and Forecasting on Streams

  • Chapter
Data Streams

Part of the book series: Advances in Database Systems ((ADBS,volume 31))

Abstract

We consider the problem of capturing correlations and finding hidden variables corresponding to trends on collections of time series streams. Our proposed method, SPIRIT, can incrementally find correlations and hidden variables, which summarise the key trends in the entire stream collection. It can do this quickly, with no buffering of stream values and without comparing pairs of streams. Moreover, it is any-time, single pass, and it dynamically detects changes. The discovered trends can also be used to immediately spot potential anomalies, to do efficient forecasting and, more generally, to dramatically simplify further data processing.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 89.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aggarwal, Charu C. Han, Jiawei, and Yu, Philip S. (2003). A framework for clustering evolving data streams. In VLDB.

    Google Scholar 

  2. Ali, M.H. Mokbel, Mohamed F. Aref, Walid, and Kamel, Ibrahim (2005). Detection and tracking of discrete phenomena in sensor network databases. In SSDBM.

    Google Scholar 

  3. Brockwell, Peter J. and Davis, Richard A. (1991). Time Series: Theory and Methods. Springer Series in Statistics. Springer-Verlag, 2nd edition.

    Google Scholar 

  4. Deligiannakis, Antonios, Kotidis, Yiannis, and Roussopoulos, Nick (2004). Compressing historical information in sensor networks. In SIGMOD.

    Google Scholar 

  5. Diamantaras, Kostas I. and Kung, Sun-Yuan (1996). Principal Component Neural Networks: Theory and Applications. John Wiley.

    Google Scholar 

  6. Domingos, Pedro and Hulten, Geoff (2000). Mining high-speed data streams. In KDD.

    Google Scholar 

  7. Fukunaga, Keinosuke (1990). Introduction to Statistical Pattern Recognition. Academic Press.

    Google Scholar 

  8. Ganti, Venkatesh, Gehrke, Johannes, and Ramakrishnan, Raghu (2002). Mining data streams under block evolution. SIGKDD Explorations, 3(2): 1–10.

    Article  Google Scholar 

  9. Guha, Sudipto, Gunopulos, Dimitrios, and Koudas, Nick (2003a). Correlating synchronous and asynchronous data streams. In KDD.

    Google Scholar 

  10. Guha, Sudipto, Meyerson, Adam, Mishra, Nina, Motwani, Rajeev, and O’Callaghan, Liadan (2003b). Clustering data streams: Theory and practice. IEEE TKDE, 15(3):515–528.

    Google Scholar 

  11. Haykin, Simon (1992). Adaptive Filter Theory. Prentice Hall.

    Google Scholar 

  12. Hulten, Geoff, Spencer, Laurie, and Domingos, Pedro (2001). Mining time-changing data streams. In KDD.

    Google Scholar 

  13. Jolliffe, I.T. (2002). Principal Component Analysis. Springer.

    Google Scholar 

  14. Kailath, Thomas (1980). Linear Systems. Prentice Hall.

    Google Scholar 

  15. Keogh, Eamonn, Lonardi, Stefano, and Ratanamahatana, Chotirat Ann (2004). Towards parameter-free data mining. In KDD.

    Google Scholar 

  16. Lin, Jessica, Vlachos, Michail, Keogh, Eamonn, and Gunopulos, Dimitrios (2004). Iterative incremental clustering of time series. In EDBT.

    Google Scholar 

  17. Oja, Erkki (1989). Neural networks, principal components, and subspaces. Intl. J. Neural Syst., 1:61–68.

    Article  MathSciNet  Google Scholar 

  18. Palpanas, Themistoklis, Vlachos, Michail, Keogh, Eamonn, Gunopulos, Dimitrios, and Truppel, Wagner (2004). Online amnesic approximation of streaming time series. In ICDE.

    Google Scholar 

  19. Papadimitriou, Spiros, Brockwell, Anthony, and Faloutsos, Christos (2003). Adaptive, hands-off stream mining. In VLDB.

    Google Scholar 

  20. Sakurai, Yasushi, Papadimitriou, Spiros, and Faloutsos, Christos (2005). BRAID: Stream mining through group lag correlations. In SIGMOD.

    Google Scholar 

  21. Sun, Jimeng, Papadimitriou, Spiros, and Faloutsos, Christos (2005). Online latent variable detection in sensor networks. In ICDE. (demo).

    Google Scholar 

  22. Wang, Haixun, Fan, Wei, Yu, Philip S., and Han, Jiawei (2003). Mining concept-drifting data streams using ensemble classifiers. In KDD.

    Google Scholar 

  23. Yang, Bin (1995). Projection approximation subspace tracking. IEEE Trans. Sig. Proc., 43(1):95–107.

    Article  MATH  Google Scholar 

  24. Yi, Byoung-Kee, Sidiropoulos, N.D. Johnson, Theodore, Jagadish, H.V. Faloutsos, Christos, and Biliris, Alexandras (2000). Online data mining for co-evolving time sequences. In ICDE.

    Google Scholar 

  25. Young, Peter (1984). Recursive Estimation and Time-Series Analysis: An Introduction. Springer-Verlag.

    Google Scholar 

  26. Zhang, Tian, Ramakrishnan, Raghu, and Livny, Miron (1996). BIRCH: An efficient data clustering method for very large databases. In SIGMOD.

    Google Scholar 

  27. Zhu, Yunyue and Shasha, Dennis (2002). StatStream: Statistical monitoring of thousands of data streams in real time. In VLDB.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Papadimitriou, S., Sun, J., Faloutsos, C. (2007). Dimensionality Reduction and Forecasting on Streams. In: Aggarwal, C.C. (eds) Data Streams. Advances in Database Systems, vol 31. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-47534-9_12

Download citation

  • DOI: https://doi.org/10.1007/978-0-387-47534-9_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-387-28759-1

  • Online ISBN: 978-0-387-47534-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics