Skip to main content

Amended Cross-Entropy Cost: An Approach for Encouraging Diversity in Classification Ensemble (Brief Announcement)

  • Conference paper
  • First Online:
Cyber Security Cryptography and Machine Learning (CSCML 2019)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 11527))

Abstract

In the field of machine learning, the training of an ensemble of models is a very common method for reducing the variance of the prediction, and yields better results. Many researches indicate that diversity between the predictions of the models is important for the ensemble performance. However, for Deep Learning classification tasks there is no explicit way to encourage diversity. Negative Correlation Learning (NCL) is a method for doing so in regression tasks. In this work we develop a novel algorithm inspired by NCL to explicitly encourage diversity in Deep Neural Networks (DNNs) for classification. In the development of the algorithm we first assume that the same training characteristics that hold in NCL must also hold when training an ensemble for classification. We also suggest the Stacked Diversified Mixture of Classifiers (SDMC), which is based on our outcome. SDMC is a layer that aims to replace the final layer of a DNN classifier. It can be easily applied on any model, while the cost in terms of number of parameters and computational power is relatively low.

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 59.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 74.99
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.

    In this Brief Announcement we demonstrate our idea only on a sigmoid (binary classification), but the proof for softmax is similar and is presented in the full version of this paper.

References

  1. Brown, G., Wyatt, J.L., Tiňo, P.: Managing diversity in regression ensembles. J. Mach. Learn. Res. 6(9), 1621–1650 (2005)

    MathSciNet  MATH  Google Scholar 

  2. Carreira-Perpinan, M.A., Raziperchikolaei, R.: An ensemble diversity approach to supervised binary hashing. In: Lee, D.D., Sugiyama, M., Luxburg, U.V., Guyon, I., Garnett, R. (eds.) Advances in Neural Information Processing Systems 29, pp. 757–765. Curran Associates Inc. (2016)

    Google Scholar 

  3. He, K., Zhang, X., Ren, S., Sun, J.: Deep residual learning for image recognition. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 770–778 (2016)

    Google Scholar 

  4. Krizhevsky, A.: Learning multiple layers of features from tiny images. Technical report, Citeseer (2009)

    Google Scholar 

  5. Lee, S., Prakash, S.P.S., Cogswell, M., Ranjan, V., Crandall, D., Batra, D.: Stochastic multiple choice learning for training diverse deep ensembles. In: Lee, D.D., Sugiyama, M., Luxburg, U.V., Guyon, I., Garnett, R. (eds.) Advances in Neural Information Processing Systems 29, pp. 2119–2127. Curran Associates Inc. (2016)

    Google Scholar 

  6. Liu, Y., Yao, X.: Ensemble learning via negative correlation. Neural Netw. 12(10), 1399–1404 (1999)

    Article  Google Scholar 

  7. Nielsen, M.A.: Neural Networks and Deep Learning, vol. 25 (2015)

    Google Scholar 

  8. Shi, Z., et al.: Crowd counting with deep negative correlation learning (2018)

    Google Scholar 

  9. Srivastava, R.K., Greff, K., Schmidhuber, J.: Training very deep networks. In: Advances in Neural Information Processing Systems, pp. 2377–2385 (2015)

    Google Scholar 

  10. Zhou, T., Wang, S., Bilmes, J.A.: Diverse ensemble evolution: Curriculum data-model marriage. In: Bengio, S., Wallach, H., Larochelle, H., Grauman, K., Cesa-Bianchi, N., Garnett, R. (eds.) Advances in Neural Information Processing Systems 31, pp. 5909–5920. Curran Associates Inc. (2018)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ron Shoham .

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

Shoham, R., Permuter, H. (2019). Amended Cross-Entropy Cost: An Approach for Encouraging Diversity in Classification Ensemble (Brief Announcement). In: Dolev, S., Hendler, D., Lodha, S., Yung, M. (eds) Cyber Security Cryptography and Machine Learning. CSCML 2019. Lecture Notes in Computer Science(), vol 11527. Springer, Cham. https://doi.org/10.1007/978-3-030-20951-3_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-20951-3_18

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-20950-6

  • Online ISBN: 978-3-030-20951-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics