Skip to main content

Managing Quality of Probabilistic Databases

  • Chapter
  • First Online:
Handbook of Data Quality

Abstract

Uncertain or imprecise data are pervasive in applications like location-based services, sensor monitoring, and data collection and integration. For these applications, probabilistic databases can be used to store uncertain data, and querying facilities are provided to yield answers with statistical confidence. Given that a limited amount of resources is available to “clean” the database (e.g., by probing some sensor data values to get their latest values), we address the problem of choosing the set of uncertain objects to be cleaned, in order to achieve the best improvement in the quality of query answers. For this purpose, we present the PWS-quality metric, which is a universal measure that quantifies the ambiguity of query answers under the possible world semantics. We study how PWS-quality can be efficiently evaluated for two major query classes: (1) queries that examine the satisfiability of tuples independent of other tuples (e.g., range queries) and (2) queries that require the knowledge of the relative ranking of the tuples (e.g., MAX queries). We then propose a polynomial-time solution to achieve an optimal improvement in PWS-quality. Other fast heuristics are also examined.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
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

Notes

  1. 1.

    If s k is less than 1, we conceptually augment a “null” tuple to τ k , whose querying attribute has a value equal to −  and existential probability equal to 1 − s k . This null tuple is only used for completeness in proofs; they do not exist physically.

  2. 2.

    The proof of PMaxQ is similar, and it can be found in [12].

References

  1. Agrawal P, Benjelloun O, Sarma AD, Hayworth C, Nabar S, Sugihara T, Widom J (2006) Trio: a system for data, uncertainty, and lineage. In: Proceedings of the VLDB 2006

    Google Scholar 

  2. Andritsos P, Fuxman A, Miller R (2006) Clean answers over dirty databases: a probabilistic approach. In: Proceedings of the ICDE 2006

    Google Scholar 

  3. Arumugam S, Xu F, Jampani R, Jermaine C, Perez LL, Haas PJ (2010) MCDB-R: risk analysis in the database. In: Proceedings of the VLDB 2010

    Google Scholar 

  4. Barbara D, Garcia-Molina H, Porter D (1992) The management of probabilistic data. IEEE TKDE 4(5):487–502

    Google Scholar 

  5. Benjelloun O, Sarma A, Halevy A, Widom J (2006) ULDBs: databases with uncertainty and lineage. In: Proceedings of the VLDB 2006

    Google Scholar 

  6. Beskales G, Soliman MA, Ilyas IF, Ben-David S (2009) Modeling and querying possible repairs in duplicate detection. In: Proceedings of the VLDB 2009

    Google Scholar 

  7. Böhm C, Pryakhin A, Schubert M (2006) The gauss-tree: efficient object identification in databases of probabilistic feature vectors. In: Proceedings of the ICDE 2006

    Google Scholar 

  8. Chen J, Cheng R (2008) Quality-aware probing of uncertain data with resource constraints. In: Proceedings of the SSDBM 2008

    Google Scholar 

  9. Cheng R, Kalashnikov D, Prabhakar S (2003) Evaluating probabilistic queries over imprecise data. In: Proceedings of the ACM SIGMOD 2003

    Google Scholar 

  10. Cheng R, Xia Y, Prabhakar S, Shah R, Vitter JS (2004) Efficient indexing methods for probabilistic threshold queries over uncertain data. In: Proceedings of the VLDB 2004

    Google Scholar 

  11. Cheng R, Chen J, Mokbel M, Chow C (2008) Probabilistic verifiers: Evaluating constrained nearest-neighbor queries over uncertain data. In: Proceedings of the ICDE 2008

    Google Scholar 

  12. Cheng R, Chen J, Xie X (2008) Cleaning uncertain data with quality guarantees. In: Proceedings of the VLDB 2008

    Google Scholar 

  13. Cheng R, Lo E, Yang XS, Luk MH, Li X, Xie X (2010) Explore or exploit?: effective strategies for disambiguating large databases. In Proceedings of the VLDB 2010

    Google Scholar 

  14. Cormen T, Leiserson C, Rivest R, Stein C (2001) Introduction to algorithms. MIT, Cambridge

    MATH  Google Scholar 

  15. Dalvi N, Suciu D (2004) Efficient query evaluation on probabilistic databases. In: Proceedings of the VLDB 2004

    Google Scholar 

  16. de Rougemont M (1995) The reliability of queries. In: Proceedings of the PODS 1995

    Google Scholar 

  17. Deshpande A, Guestrin C, Madden S, Hellerstein J, Hong W (2004) Model-driven data acquisition in sensor networks. In: Proceedings of the VLDB 2004

    Google Scholar 

  18. Elmagarmid AK, Ipeirotis PG, Verykios VS (2007) Duplicate record detection: a survey. IEEE Trans Knowl Data Eng 19:1–16

    Article  Google Scholar 

  19. Gradel E, Gurevich Y, Hirsch C (1998) The complexity of query reliability. In: Proceedings of the PODS 1998

    Google Scholar 

  20. Hua M, Pei J, Zhang W, Lin X (2008) Ranking queries on uncertain data: a probabilistic threshold approach. In: Proceedings of the ACM SIGMOD international conference on management of data 2008, pp 673–686

    Google Scholar 

  21. Jampani R, Xu F, Wu M, Perez LL, Jermaine C, Haas PJ (2008) MCDB: a Monte Carlo approach to managing uncertain data. In: Proceedings of the 2008 ACM SIGMOD international conference on management of data (SIGMOD’08), pp 687–700

    Google Scholar 

  22. Khoussainova N, Balazinska M, Suciu D (2006) Towards correcting input data errors probabilistically using integrity constraints. In: Proceedings of the MobiDE 2006

    Google Scholar 

  23. Kriegel H, Kunath P, Renz M (2007) Probabilistic nearest-neighbor query on uncertain objects. In: Proceedings of the DASFAA 2007

    Google Scholar 

  24. Li J, Saha B, Deshpande A (2009) A unified approach to ranking in probabilistic databases. In: Proceedings of the VLDB 2009

    Google Scholar 

  25. Lian X, Chen L (2008) Monochromatic and bichromatic reverse skyline search over uncertain databases. In: Proceedings of the SIGMOD 2008

    Google Scholar 

  26. Liu Z, Sia K, Cho J (2005) Cost-efficient processing of min/max queries over distributed sensors with uncertainty. In: Proceedings of the annual ACM symposium on applied computing (SAC) 2005

    Google Scholar 

  27. Nodine M, Vitter J (1995) Greed sort: an optimal sorting algorithm for multiple disks. J ACM 42(4):919–933

    Article  MathSciNet  Google Scholar 

  28. Olston C, Jiang J, Widom J (2003) Adaptive filters for continuous queries over distributed data streams. In: Proceedings of the SIGMOD 2003

    Google Scholar 

  29. Pei J, Jiang B, Lin X, Yuan Y (2007) Probabilistic skylines on uncertain data. In: Proceedings of the VLDB 2007

    Google Scholar 

  30. Pfoser D, Jensen C (1999) Capturing the uncertainty of moving-objects representations. In: Proceedings of the SSDBM 1999

    Google Scholar 

  31. Re C, Dalvi N, Suciu D (2007) Efficient top-k query evaluation on probabilistic data. In: Proceedings of the ICDE 2007

    Google Scholar 

  32. Shannon C (1949) The mathematical theory of communication. University of Illinois Press, Urbana

    MATH  Google Scholar 

  33. Silberstein A, Braynard R, Ellis C, Munagala K, Yang J (2006) A sampling-based approach to optimizing top-k queries in sensor networks. In: Proceedings of the ICDE 2006

    Google Scholar 

  34. Singh S, Mayfield C, Prabhakar S, Shah R, Hambrusch S (2007) Indexing uncertain categorical data. In: Proceedings of the ICDE 2007

    Google Scholar 

  35. Singh S, Mayfield C, Shah R, Prabhakar S, Hambrusch SE, Neville J, Cheng R (2008) Database Support for probabilistic attributes and tuples. In: Proceedings of the ICDE 2008

    Google Scholar 

  36. Sistla PA, Wolfson O, Chamberlain S, Dao S (1998) Querying the uncertain position of moving objects. In: Temporal databases: research and practice. Springer, Berlin

    Google Scholar 

  37. Soliman M, Ilyas I, Chang K (2007) Top-k query processing in uncertain databases. In: Proceedings of the ICDE 2007

    Google Scholar 

  38. Soliman MA, Ilyas IF (2009) Ranking with uncertain scores. In: Proceedings of the ICDE 2009

    Google Scholar 

  39. Tao Y, Cheng R, Xiao X, Ngai WK, Kao B, Prabhakar S (2005) Indexing multi-dimensional uncertain data with arbitrary probability density functions. In: Proceedings of the VLDB 2005

    Google Scholar 

  40. Yi K, Li F, Srivastava D, Kollios G (2008) Efficient processing of top-k queries in uncertain databases. In: Proceedings of the ICDE 2008

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Reynold Cheng .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Cheng, R. (2013). Managing Quality of Probabilistic Databases. In: Sadiq, S. (eds) Handbook of Data Quality. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36257-6_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-36257-6_12

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36256-9

  • Online ISBN: 978-3-642-36257-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics