Skip to main content

Dynamic Mutation Based Pareto Optimization for Subset Selection

  • Conference paper
  • First Online:
Intelligent Computing Methodologies (ICIC 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10956))

Included in the following conference series:

Abstract

Subset selection that selects the best k variables from n variables is a fundamental problem in many areas. Pareto optimization for subset selection (called POSS) is a recently proposed approach for subset selection based on Pareto optimization and has shown good approximation performances. In the reproduction of POSS, it uses a fixed mutation rate, which may make POSS get trapped in local optimum. In this paper, we propose a new version of POSS by using a dynamic mutation rate, briefly called DM-POSS. We prove that DM-POSS can achieve the best known approximation guarantee for the application of sparse regression in polynomial time and show that DM-POSS can also empirically perform well.

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 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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.

    The datasets are from https://www.csie.ntu.edu.tw/~cjlin/libsvmtools/datasets/.

  2. 2.

    The datasets are from https://snap.stanford.edu/data/.

References

  1. Das, A., Kempe, D.: Submodular meets spectral: Greedy algorithms for subset selection, sparse approximation and dictionary selection. In: 28th International Conference on Machine Learning, Bellevue, WA, pp. 1057–1064 (2011)

    Google Scholar 

  2. Davis, G., Mallat, S., Avellaneda, M.: Adaptive Greedy approximations. Constr. Approx. 13(1), 57–98 (1997)

    Article  MathSciNet  Google Scholar 

  3. Doerr, B., Le, H.P., Makhmara, R., Nguyen, T.D.: Fast genetic algorithms. In: 19th ACM Genetic and Evolutionary Computation Conference, Berlin, Germany, pp. 777–784 (2017)

    Google Scholar 

  4. Droste, S., Jansen, T., Wegener, I.: On the analysis of the (1+1) evolutionary algorithm. Theoret. Comput. Sci. 276(1–2), 51–58 (2002)

    Article  MathSciNet  Google Scholar 

  5. Fischer, S., Wegener, I.: The one-dimensional Ising model: mutation versus recombination. Theoret. Comput. Sci. 344(2–3), 208–225 (2005)

    Article  MathSciNet  Google Scholar 

  6. Giel, O., Wegener, I.: Evolutionary algorithms and the maximum matching problem. In: 20th Annual Symposium on Theoretical Aspects of Computer Science, London, UK, pp. 415–426 (2003)

    Google Scholar 

  7. Gilbert, A.C., Muthukrishnan, S., Strauss, M.J.: Approximation of functions over redundant dictionaries using coherence. In: 14th Annual ACM-SIAM symposium on Discrete Algorithms, Baltimore, MA, pp. 243–252 (2003)

    Google Scholar 

  8. Kempe, D., Kleinberg, J., Tardos, E.: Maximizing the spread of influence through a social network. In: 9th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, Washington, D.C., pp. 137–146 (2003)

    Google Scholar 

  9. Miller, A.: Subset Selection in Regression. CRC Press, Boca Raton (2002)

    Book  Google Scholar 

  10. Qian, C., Yu, Y., Zhou, Z.H.: Subset selection by Pareto optimization. In: Advances in Neural Information Processing Systems 28, Montreal, Canada, pp. 1774–1782 (2015)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mengxi Wu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Wu, M., Qian, C., Tang, K. (2018). Dynamic Mutation Based Pareto Optimization for Subset Selection. In: Huang, DS., Gromiha, M., Han, K., Hussain, A. (eds) Intelligent Computing Methodologies. ICIC 2018. Lecture Notes in Computer Science(), vol 10956. Springer, Cham. https://doi.org/10.1007/978-3-319-95957-3_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-95957-3_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-95956-6

  • Online ISBN: 978-3-319-95957-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics