Skip to main content

Should Simplicity Be Always Preferred to Complexity in Supervised Machine Learning?

  • Conference paper
  • First Online:
Machine Learning, Optimization, and Data Science (LOD 2020)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 12565))

Abstract

In this short paper, a theoretical analysis of Occam’s razor formulation through statistical learning theory is presented, showing that pathological situations exist for which regularization may slow down supervised learning instead of making it faster.

G. Cevolani acknowledges support from MIUR PRIN grant no. 201743F9YE.

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.

    Without such noise, one would have always a 0 minimum empirical risk in the correct family of models, which would make its detection easier.

References

  1. Vapnik, V.N.: The Nature of Statistical Learning Theory. Springer, New York (2000). https://doi.org/10.1007/978-1-4757-3264-1

    Book  MATH  Google Scholar 

  2. Duda, R.O., Hart, P.E., Stork, D.G.: Pattern Classification. Wiley, Hoboken (2000)

    MATH  Google Scholar 

  3. Corfield, D., Schölkopf, B., Vapnik, V.N.: Falsificationism and statistical learning theory: comparing the Popper and Vapnik-Chervonenkis dimensions. J. Gen. Philos. Sci. 4(1), 51–58 (2009)

    Article  Google Scholar 

  4. Wolpert, D.H.: The lack of a priori distinctions between learning algorithms. Neural Comput. 8, 1341–1390 (1996)

    Article  Google Scholar 

  5. Lauc, D.: Machine learning and the philosophical problems of induction. In: Skansi, S. (ed.) Guide to Deep Learning Basics, pp. 93–106. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-37591-1_9

    Chapter  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Giorgio Gnecco .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Bargagli-Stoffi, F., Cevolani, G., Gnecco, G. (2020). Should Simplicity Be Always Preferred to Complexity in Supervised Machine Learning?. In: Nicosia, G., et al. Machine Learning, Optimization, and Data Science. LOD 2020. Lecture Notes in Computer Science(), vol 12565. Springer, Cham. https://doi.org/10.1007/978-3-030-64583-0_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-64583-0_6

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-64582-3

  • Online ISBN: 978-3-030-64583-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics