Skip to main content
Top

2017 | OriginalPaper | Chapter

A Novel Adaptive Learning Rate Algorithm for Convolutional Neural Network Training

Authors : S. V. Georgakopoulos, V. P. Plagianakos

Published in: Engineering Applications of Neural Networks

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this work an adaptive learning rate algorithm for Convolutional Neural Networks is presented. Harvesting already computed first order information of the gradient vectors of three consecutive iterations during the training phase, an adaptive learning rate is calculated. The learning rate is increasing proportionally to the similarity of the direction of the gradients in an attempt to accelerate the convergence and locate a good solution. The proposed algorithm is suitable for the time-consuming training of the Convolutional Neural Networks, alleviating the exhaustive and critical for the performance of trained network heuristic search for a suitable learning rate. The experimental results indicate that the proposed algorithm produces networks having good classification accuracy, regardless the initial learning rate value. Moreover, the training procedure is similar or better to the gradient descent algorithm with fixed heuristically chosen learning rate.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Footnotes
Literature
1.
go back to reference Almeidaa, L.B., Langloisa, T., Amaral, J.D., Plakhov, A.: Parameter adaptation in stochastic optimization. In: On-line Learning in Neural Networks, pp. 111–134. Cambridge University Press (1998) Almeidaa, L.B., Langloisa, T., Amaral, J.D., Plakhov, A.: Parameter adaptation in stochastic optimization. In: On-line Learning in Neural Networks, pp. 111–134. Cambridge University Press (1998)
2.
go back to reference Ba, J., Kingma, D.: Adam: a method for stochastic optimization. In: International Conference on Learning Representations (2015) Ba, J., Kingma, D.: Adam: a method for stochastic optimization. In: International Conference on Learning Representations (2015)
3.
go back to reference Bottou, L.: On-line learning and stochastic approximations. In: On-line Learning in Neural Networks, pp. 9–42. Cambridge University Press (1998) Bottou, L.: On-line learning and stochastic approximations. In: On-line Learning in Neural Networks, pp. 9–42. Cambridge University Press (1998)
4.
go back to reference Delibasis, K.K., Georgakopoulos, S.V., Kottari, K., Plagianakos, V.P., Maglogiannis, I.: Geodesically-corrected zernike descriptors for pose recognition in omni-directional images. Integr. Comput.-Aided Eng. 23(2), 185–199 (2016)CrossRef Delibasis, K.K., Georgakopoulos, S.V., Kottari, K., Plagianakos, V.P., Maglogiannis, I.: Geodesically-corrected zernike descriptors for pose recognition in omni-directional images. Integr. Comput.-Aided Eng. 23(2), 185–199 (2016)CrossRef
5.
go back to reference Deng, J., Dong, W., Socher, R., Li, L.J., Li, K., Fei-Fei, L.: ImageNet: a large-scale hierarchical image database. In: CVPR 2009 (2009) Deng, J., Dong, W., Socher, R., Li, L.J., Li, K., Fei-Fei, L.: ImageNet: a large-scale hierarchical image database. In: CVPR 2009 (2009)
6.
go back to reference Duchi, J., Hazan, E., Singer, Y.: Adaptive subgradient methods for online learning and stochastic optimization. J. Mach. Learn. Res. 12, 2121–2159 (2011)MathSciNetMATH Duchi, J., Hazan, E., Singer, Y.: Adaptive subgradient methods for online learning and stochastic optimization. J. Mach. Learn. Res. 12, 2121–2159 (2011)MathSciNetMATH
7.
go back to reference Fukushima, K.: Neocognitron: a self-organizing neural network model for a mechanism of pattern recognition unaffected by shift in position. Biol. Cybern. 36(4), 193–202 (1980)CrossRefMATH Fukushima, K.: Neocognitron: a self-organizing neural network model for a mechanism of pattern recognition unaffected by shift in position. Biol. Cybern. 36(4), 193–202 (1980)CrossRefMATH
8.
go back to reference Georgakopoulos, S.V., Iakovidis, D.K., Vasilakakis, M., Plagianakos, V.P., Koulaouzidis, A.: Weakly-supervised convolutional learning for detection of inflammatory gastrointestinal lesions. In: 2016 IEEE International Conference on Imaging Systems and Techniques (IST), pp. 510–514, October 2016 Georgakopoulos, S.V., Iakovidis, D.K., Vasilakakis, M., Plagianakos, V.P., Koulaouzidis, A.: Weakly-supervised convolutional learning for detection of inflammatory gastrointestinal lesions. In: 2016 IEEE International Conference on Imaging Systems and Techniques (IST), pp. 510–514, October 2016
9.
go back to reference Jia, Y., Shelhamer, E., Donahue, J., Karayev, S., Long, J., Girshick, R., Guadarrama, S., Darrell, T.: Caffe: convolutional architecture for fast feature embedding. arXiv preprint arXiv:1408.5093 (2014) Jia, Y., Shelhamer, E., Donahue, J., Karayev, S., Long, J., Girshick, R., Guadarrama, S., Darrell, T.: Caffe: convolutional architecture for fast feature embedding. arXiv preprint arXiv:​1408.​5093 (2014)
10.
go back to reference Krizhevsky, A., Sutskever, I., Hinton, G.E.: Imagenet classification with deep convolutional neural networks. In: Pereira, F., Burges, C.J.C., Bottou, L., Weinberger, K.Q. (eds.) Advances in Neural Information Processing Systems, vol. 25, pp. 1097–1105. Curran Associates, Inc. (2012) Krizhevsky, A., Sutskever, I., Hinton, G.E.: Imagenet classification with deep convolutional neural networks. In: Pereira, F., Burges, C.J.C., Bottou, L., Weinberger, K.Q. (eds.) Advances in Neural Information Processing Systems, vol. 25, pp. 1097–1105. Curran Associates, Inc. (2012)
11.
go back to reference LeCun, Y., Boser, B., Denker, J.S., Henderson, D., Howard, R.E., Hubbard, W., Jackel, L.D.: Backpropagation applied to handwritten zip code recognition. Neural Comput. 1(4), 541–551 (1989)CrossRef LeCun, Y., Boser, B., Denker, J.S., Henderson, D., Howard, R.E., Hubbard, W., Jackel, L.D.: Backpropagation applied to handwritten zip code recognition. Neural Comput. 1(4), 541–551 (1989)CrossRef
12.
go back to reference Lecun, Y., Bottou, L., Bengio, Y., Haffner, P.: Gradient-based learning applied to document recognition. Proc. IEEE 86(11), 2278–2324 (1998)CrossRef Lecun, Y., Bottou, L., Bengio, Y., Haffner, P.: Gradient-based learning applied to document recognition. Proc. IEEE 86(11), 2278–2324 (1998)CrossRef
13.
go back to reference Magoulas, G., Plagianakos, V., Vrahatis, M.: Adaptive stepsize algorithms for on-line training of neural networks. Nonlinear Anal.: Theory Methods Appl. 47(5), 3425–3430 (2001)MathSciNetCrossRefMATH Magoulas, G., Plagianakos, V., Vrahatis, M.: Adaptive stepsize algorithms for on-line training of neural networks. Nonlinear Anal.: Theory Methods Appl. 47(5), 3425–3430 (2001)MathSciNetCrossRefMATH
14.
go back to reference Nair, V., Hinton, G.E.: Rectified linear units improve restricted Boltzmann machines. In: Fnkranz, J., Joachims, T. (eds.) Proceedings of 27th International Conference on Machine Learning (ICML-2010), pp. 807–814. Omnipress (2010) Nair, V., Hinton, G.E.: Rectified linear units improve restricted Boltzmann machines. In: Fnkranz, J., Joachims, T. (eds.) Proceedings of 27th International Conference on Machine Learning (ICML-2010), pp. 807–814. Omnipress (2010)
15.
go back to reference Oquab, M., Bottou, L., Laptev, I., Sivic, J.: Is object localization for free? - weakly-supervised learning with convolutional neural networks. In: 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 685–694, June 2015 Oquab, M., Bottou, L., Laptev, I., Sivic, J.: Is object localization for free? - weakly-supervised learning with convolutional neural networks. In: 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 685–694, June 2015
16.
go back to reference Plagianakos, V.P., Magoulas, G.D., Vrahatis, M.N.: Global learning rate adaptation in on-line neural network training. In: Proceedings of 2nd International ICSC Symposium on Neural Computation (NC 2000), Berlin, Germany (2000) Plagianakos, V.P., Magoulas, G.D., Vrahatis, M.N.: Global learning rate adaptation in on-line neural network training. In: Proceedings of 2nd International ICSC Symposium on Neural Computation (NC 2000), Berlin, Germany (2000)
18.
go back to reference Wilcoxon, F.: Individual comparisons by ranking methods. Biom. Bull. 1(6), 80–83 (1945)CrossRef Wilcoxon, F.: Individual comparisons by ranking methods. Biom. Bull. 1(6), 80–83 (1945)CrossRef
19.
go back to reference Zeiler, M.D.: ADADELTA: an adaptive learning rate method. CoRR abs/1212.5701 (2012) Zeiler, M.D.: ADADELTA: an adaptive learning rate method. CoRR abs/1212.5701 (2012)
Metadata
Title
A Novel Adaptive Learning Rate Algorithm for Convolutional Neural Network Training
Authors
S. V. Georgakopoulos
V. P. Plagianakos
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-65172-9_28

Premium Partner