Skip to main content

Using Multidimensional Skylines for Regret Minimization

  • Conference paper
  • First Online:
Model and Data Engineering (MEDI 2021)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 12732))

Included in the following conference series:

  • 749 Accesses

Abstract

Skyline and Top-K operators are both multi-criteria preference queries. The advantage of one is a limitation of the other: Top-k requires a scoring function while skyline does not, and Top-k output size is exactly K objects while skyline’s output can be the whole dataset. To cope with this state of affairs, regret minimization sets (RMS) whose output is bounded by K and where there is no need to provide a scoring function has been proposed in the literature. However, the computation of RMS on top of the whole dataset is time-consuming. Hence previous work proposed the Skyline set as a candidate set. While it guarantees the same output, it becomes of no benefit when it reaches the size of the whole dataset, e.g., with anticorrelated datasets and high dimensionality. In this paper we investigate the speedup provided by other skyline related candidate sets computed through the structure Negative SkyCube (NSC) such as Top k frequent skylines. We show that this query provides good candidate set for RMS algorithms. Moreover it can be used as an alternative to RMS algorithms as it provides interesting regret ratio.

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

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    https://github.com/karimalami7/NSC.

References

  1. Alami, K., Hanusse, N., Wanko, P.K., Maabout, S.: The negative skycube. Inf. Syst. 88, 101443 (2020)

    Article  Google Scholar 

  2. Bøgh, K.S., Chester, S., Sidlauskas, D., Assent, I.: Template skycube algorithms for heterogeneous parallelism on multicore and GPU architectures. In: Proceedings of SIGMOD Conference, pp. 447–462 (2017)

    Google Scholar 

  3. Börzsönyi, S., Kossmann, D., Stocker, K.: The skyline operator. In: Proceedings of ICDE Conference, pp. 421–430 (2001)

    Google Scholar 

  4. Chaudhuri, S., Gravano, L.: Evaluating top-k selection queries. VLDB 99, 397–410 (1999)

    Google Scholar 

  5. Chester, S., Thomo, A., Venkatesh, S., Whitesides, S.: Computing k-regret minimizing sets. Proc. VLDB Endowment 7(5), 389–400 (2014)

    Article  Google Scholar 

  6. Han, S., Zheng, J., Dong, Q.: Efficient processing of k-regret queries via skyline frequency. In: Meng, X., Li, R., Wang, K., Niu, B., Wang, X., Zhao, G. (eds.) WISA 2018. LNCS, vol. 11242, pp. 434–441. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-02934-0_40

    Chapter  Google Scholar 

  7. Han, S., Zheng, J., Dong, Q.: Efficient processing of k-regret queries via skyline priority. In: Meng, X., Li, R., Wang, K., Niu, B., Wang, X., Zhao, G. (eds.) WISA 2018. LNCS, vol. 11242, pp. 413–420. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-02934-0_38

    Chapter  Google Scholar 

  8. Nanongkai, D., Sarma, A.D., Lall, A., Lipton, R.J., Xu, J.: Regret-minimizing representative databases. Proc. VLDB Endowment 3(1–2), 1114–1124 (2010)

    Article  Google Scholar 

  9. Peng, P., Wong, R.C.: Geometry approach for k-regret query. In: Cruz, I.F., Ferrari, E., Tao, Y., Bertino, E., Trajcevski, G. (eds.) IEEE 30th International Conference on Data Engineering, Chicago, ICDE 2014, IL, USA, March 31 - April 4, 2014, pp. 772–783. IEEE Computer Society (2014)

    Google Scholar 

  10. Tao, Y., Xiao, X., Pei, J.: Subsky: efficient computation of skylines in subspaces. In: 22nd International Conference on Data Engineering (ICDE 2006), pp. 65–65. IEEE (2006)

    Google Scholar 

  11. Xia, T., Zhang, D., Fang, Z., Chen, C.X., Wang, J.: Online subspace skyline query processing using the compressed Skycube. ACM TODS 37(2), 15:1–15:36 (2012)

    Google Scholar 

  12. Xie, M., Wong, R.C., Li, J., Long, C., Lall, A.: Efficient k-regret query algorithm with restriction-free bound for any dimensionality. In: Das, G., Jermaine, C.M., Bernstein, P.A. (eds.) Proceedings of the 2018 International Conference on Management of Data, SIGMOD Conference 2018, Houston, TX, USA, 10–15 June 2018, pp. 959–974. ACM (2018)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sofian Maabout .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Alami, K., Maabout, S. (2021). Using Multidimensional Skylines for Regret Minimization. In: Attiogbé, C., Ben Yahia, S. (eds) Model and Data Engineering. MEDI 2021. Lecture Notes in Computer Science(), vol 12732. Springer, Cham. https://doi.org/10.1007/978-3-030-78428-7_23

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-78428-7_23

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-78427-0

  • Online ISBN: 978-3-030-78428-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics