Skip to main content

Parameter Tuning Using Adaptive Moment Estimation in Deep Learning Neural Networks

  • Conference paper
  • First Online:
Computational Science and Its Applications – ICCSA 2020 (ICCSA 2020)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12254))

Included in the following conference series:

Abstract

The twin issues of loss quality (accuracy) and training time are critical in choosing a stochastic optimizer for training deep neural networks. Optimization methods for machine learning include gradient descent, simulated annealing, genetic algorithm and second order techniques like Newton’s method. However, the popular method for optimizing neural networks is gradient descent. Overtime, researchers have made gradient descent more responsive to the requirements of improved quality loss (accuracy) and reduced training time by progressing from using simple learning rate to using adaptive moment estimation technique for parameter tuning. In this work, we investigate the performances of established stochastic gradient descent algorithms like Adam, RMSProp, Adagrad, and Adadelta in terms of training time and loss quality. We show practically, using series of stochastic experiments, that adaptive moment estimation has improved the gradient descent optimization method. Based on the empirical outcomes, we recommend further improvement of the method by using higher moments of gradient for parameter tuning (weight update). The output of our experiments also indicate that neural network is a stochastic algorithm.

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

References

  1. Brownlee, J.: How to choose loss functions when training deep learning neural networks. In: Deep Learning Performance (2019)

    Google Scholar 

  2. Shridhar, K.: A beginners guide to deep learning (2017)

    Google Scholar 

  3. Zhou, Z., Feng, J.: Deep forest: towards an alternative to deep neural networks. In: Proceedings of the 26th International Joint Conference on Artificial Intelligence, pp. 3553–3559. AAAI Press (2017)

    Google Scholar 

  4. Garnelo, M., Schwarz, J., Rosenbaum, D., Rezende, V.F., Eslami, S.M., Teh, Y.W.: Neural processes, arXiv preprint arXiv:1807.01622 (2018)

  5. Damianou, A., Lawrence, N.: Deep Gaussian processes. In: Artificial Intelligence and Statistics, pp. 207–215 (2013)

    Google Scholar 

  6. Pandey, P.: Demystifying neural networks: a mathematical approach (Part 2) (2018)

    Google Scholar 

  7. Zeiler, M.D.: Adadelta: an adaptive learning rate method, arXiv preprint arXiv:1212.5701 (2012)

  8. Tieleman, T., Hinton, G.: Lecture 6.5-rmsprop: divide the gradient by a running average of its recent magnitude. COURSERA Neural Netw. Mach. Learn. 4(2), 26–31 (2012)

    Google Scholar 

  9. Dauphin, Y.N., Pascanu, R., Caglar, G., Kyunghyun, C., Ganguli, S., Bengio, Y.: Identifying and attacking the saddle point problem in high-dimensional non-convex optimization. In: Advances in Neural Information Processing Systems, pp. 2933–2941 (2014)

    Google Scholar 

  10. Kawaguchi, K.: Deep learning without poor local minima. In: Advances in Neural Information Processing Systems (NIPS) (2016)

    Google Scholar 

  11. Kim, D., Fessler, J.A.: Optimized first-order methods for smooth convex minimization. Math. Prog. 151, 8–107 (2016)

    Google Scholar 

  12. Aji, A.F., Heafield, K.: Combining global sparse gradients with local gradients. In: ICLR Conference (2019)

    Google Scholar 

  13. Walia, A.S.: Types of optimization algorithms used in neural networks and ways to optimize gradient descent (2017)

    Google Scholar 

  14. Kingma, D.P., Ba, J.L.: Adam: a method for stochastic optimization. In: International Conference on Learning Representations (2015)

    Google Scholar 

  15. Koushik, J., Hayashi, H.: Improving stochastic gradient descent with feedback. In: Conference Paper at ICLR (2017)

    Google Scholar 

  16. Polyak, B.T., Juditsky, A.B.: Acceleration of stochastic approximation by averaging (PDF). SIAM J. Control Optim. 30(4), 838–855 (1992)

    Article  MathSciNet  Google Scholar 

  17. Zhang, S., Choromanska, A., LeCun, Y.: Deep learning with elastic averaging SGD. In: Neural Information Processing Systems Conference (NIPS) (2015)

    Google Scholar 

  18. Davies, C., Dembinska, A.: Computing moments of discrete order statistics from non-identical distributions. J. Comput. Appl. Math. 328(15), 340–354 (2018)

    Article  MathSciNet  Google Scholar 

  19. Qian, N.: On the momentum term in gradient descent learning algorithms. Neural Netw. Official J. Int. Neural Netw. Soc. 12(1), 145–151 (1999)

    Article  MathSciNet  Google Scholar 

  20. Lockett, A.: What is the most popular learning rate decay formula in machine learning? The University of Texas at Austin (2012)

    Google Scholar 

  21. Darken, C., Chang, J., Moody, J.: Learning rate schedules for faster stochastic gradient search. In: Neural Networks for Signal Processing II Proceedings of the 1992 IEEE Workshop (1992)

    Google Scholar 

  22. Mei, S.: A mean field view of the landscape of two-layer neural networks. In: Proceedings of the National Academy of Sciences (2018)

    Google Scholar 

  23. Okewu, E., Adewole, P., Sennaike, O.: Experimental comparison of stochastic optimizers in deep learning. In: Misra, S., et al. (eds.) ICCSA 2019. LNCS, vol. 11623, pp. 704–715. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-24308-1_55

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Emmanuel Okewu .

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

Okewu, E., Misra, S., Lius, FS. (2020). Parameter Tuning Using Adaptive Moment Estimation in Deep Learning Neural Networks. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2020. ICCSA 2020. Lecture Notes in Computer Science(), vol 12254. Springer, Cham. https://doi.org/10.1007/978-3-030-58817-5_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-58817-5_20

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-58816-8

  • Online ISBN: 978-3-030-58817-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics