Skip to main content

Effective Pre-processing of Genetic Programming for Solving Symbolic Regression in Equation Extraction

  • Conference paper
  • First Online:
Information Search, Integration, and Personalization (ISIP 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1040))

  • 209 Accesses

Abstract

Estimating a form of equation that explains data is very useful to understand various physical, chemical, social, and biological phenomena. One effective approach for finding the form of an equation is to solve the symbolic regression problem using genetic programming (GP). However, this approach requires a long computation time because of the explosion of the number of combinations of candidate functions that are used as elements to construct equations. In the present paper, a novel method to effectively eliminate unnecessary functions from an initial set of functions using a deep neural network was proposed to reduce the number of computations of GP. Moreover, a method was proposed to improve the accuracy of the classification using eigenvalues when classifying whether functions are required for symbolic regression. Experiment results showed that the proposed method can successfully classify functions with over 90% of the data created in the present study.

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

References

  1. Schmidt, M.D., Lipson, H.: Distilling free-form natural laws from experimental data. Science 324(5923), 81–85 (2009)

    Article  Google Scholar 

  2. Schmidt, M.D., Lipson, H.: Coevolution of fitness predictors. IEEE Trans. Evol. Comput. 12(6), 736–749 (2008)

    Article  Google Scholar 

  3. Martius, G., Lampert, C.H.: Extrapolation and learning equations. CoRR, arXiv:1610.02995 (2016)

  4. Van Hemert, E., Eggermont, J., Hemert, J.I.: Stepwise adaptation of weights for symbolic regression with genetic programming. In: Proceedings of the Twelveth Belgium/Netherlands Conference on Arti Intelligence (BNAIC 2000) (2000)

    Google Scholar 

  5. Schmidt, M.D., Lipson, H.: Co-evolution of fitness maximizers and fitness predictors. In: GECCO Late Breaking Paper (2005)

    Google Scholar 

  6. Schmidt, M.D., Lipson, H.: Co-evolving fitness predictors for accelerating and reducing evaluations. Genet. Program. Theor. Pract. IV 5, 113–130 (2006)

    Google Scholar 

  7. Uy, N.Q., Hoai, N.X., O’Neill, M., McKay, R.I., Galván-López, E.: Semantically-based crossover in genetic programming: application to real-valued symbolic regression. Genet. Program. Evolvable Mach. 12(2), 91–119 (2011)

    Article  Google Scholar 

  8. Suzuki, I., Ikeuchi, Y., Tsumura, T., Nakashima, Y., Nakashima, H.: A speedup technique for GA with reuse. In: IPSJ Transactions on Advanced Computing Systems, vol. 46, no. SIG 16(ACS 12), pp. 129–143, December 2005

    Google Scholar 

  9. Haeri, M.A., Ebadzadeh, M.M., Folino, G.: Statistical genetic programming for symbolic regression. Appl. Soft Comput. 60, 447–469 (2017)

    Article  Google Scholar 

  10. Maronna, R., Lovric, M.: Robust statistical methods. In: Lovric, M. (ed.) International Encyclopedia of Statistical Science, pp. 1244–1248. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-04898-2

    Chapter  Google Scholar 

  11. Kingma, D.P., Ba, J.L.: Adam: A Method for Stochastic Optimization. CoRR, arXiv:1412.6980 (2014)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kenji Ono .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Koga, I., Ono, K. (2019). Effective Pre-processing of Genetic Programming for Solving Symbolic Regression in Equation Extraction. In: Kotzinos, D., Laurent, D., Spyratos, N., Tanaka, Y., Taniguchi, Ri. (eds) Information Search, Integration, and Personalization. ISIP 2018. Communications in Computer and Information Science, vol 1040. Springer, Cham. https://doi.org/10.1007/978-3-030-30284-9_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-30284-9_6

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-30283-2

  • Online ISBN: 978-3-030-30284-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics