Skip to main content
Top

2016 | OriginalPaper | Chapter

A Structural Learning Method of Restricted Boltzmann Machine by Neuron Generation and Annihilation Algorithm

Authors : Shin Kamada, Takumi Ichimura

Published in: Neural Information Processing

Publisher: Springer International Publishing

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

search-config
loading …

Abstract

Restricted Boltzmann Machine (RBM) is a generative stochastic energy-based model of artificial neural network for unsupervised learning. The adaptive learning method that can discover the optimal number of hidden neurons according to the input space is important method in terms of the stability of energy as well as the computational cost although a traditional RBM model cannot change its network structure during learning phase. Moreover, we should consider the regularities in the sparse of network to extract explicit knowledge from the network because the trained network is often a black box. In this paper, we propose the combination method of adaptive and structural learning method of RBM with Forgetting that can discover the regularities in the trained network. We evaluated our proposed model on MNIST and CIFAR-10 datasets.

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!

Literature
2.
go back to reference Hinton, G.E.: A practical guide to training restricted boltzmann machines. In: Montavon, G., Orr, G.B., Müller, K.-R. (eds.) Neural Networks: Tricks of the Trade, 2nd edn. LNCS, vol. 7700, pp. 599–619. Springer, Heidelberg (2012)CrossRef Hinton, G.E.: A practical guide to training restricted boltzmann machines. In: Montavon, G., Orr, G.B., Müller, K.-R. (eds.) Neural Networks: Tricks of the Trade, 2nd edn. LNCS, vol. 7700, pp. 599–619. Springer, Heidelberg (2012)CrossRef
3.
go back to reference Kamada, S., Ichimura, T.: A learning method of adaptive deep belief network by using neuron generation and annihilation algorithm. In: Proceedings of 17th Annual Meeting of Self-Organizing Maps in Japanese, pp. 12.1–12.6 (2016) Kamada, S., Ichimura, T.: A learning method of adaptive deep belief network by using neuron generation and annihilation algorithm. In: Proceedings of 17th Annual Meeting of Self-Organizing Maps in Japanese, pp. 12.1–12.6 (2016)
4.
go back to reference Ranzato, M., Boureau, Y., LeCun, Y.: Sparse feature learning for deep belief networks. In: Advances in Neural Information Processing Systems 20 (NIPS 2007), pp. 1185–1192 (2007) Ranzato, M., Boureau, Y., LeCun, Y.: Sparse feature learning for deep belief networks. In: Advances in Neural Information Processing Systems 20 (NIPS 2007), pp. 1185–1192 (2007)
5.
go back to reference Ishikawa, M.: Structural learning with forgetting. Neural Netw. 9(3), 509–521 (1996)CrossRef Ishikawa, M.: Structural learning with forgetting. Neural Netw. 9(3), 509–521 (1996)CrossRef
6.
go back to reference Kamada, S., Fujii, Y., Ichimura, T.: Structural learning method of restricted Boltzmann machine with forgetting. In: Proceedings of 17th Annual Meeting of Self-Organizing Maps in Japanese, pp. 13.1–13.6 (2016) Kamada, S., Fujii, Y., Ichimura, T.: Structural learning method of restricted Boltzmann machine with forgetting. In: Proceedings of 17th Annual Meeting of Self-Organizing Maps in Japanese, pp. 13.1–13.6 (2016)
7.
go back to reference Hinton, G.E.: Training products of experts by minimizing contrastive divergence. Neural Comput. 14, 1771–1800 (2002)CrossRefMATH Hinton, G.E.: Training products of experts by minimizing contrastive divergence. Neural Comput. 14, 1771–1800 (2002)CrossRefMATH
8.
go back to reference Carlson, D., Cevher, V., Carin, L.: Stochastic spectral descent for restricted Boltzmann machines. In: Proceedings of the Eighteenth International Conference on Artificial Intelligence and Statistics, pp. 111–119 (2015) Carlson, D., Cevher, V., Carin, L.: Stochastic spectral descent for restricted Boltzmann machines. In: Proceedings of the Eighteenth International Conference on Artificial Intelligence and Statistics, pp. 111–119 (2015)
9.
go back to reference Kamada, S., Ichimura, T., Fujii, Y.: A consideration of convergence of energy function in restricted Boltzmann machine by Lipschitz continuity. In: Proceedings of IEEE SMC Hiroshima Chapter YRW 2015 in Japanese, pp. 53–56 (2015) Kamada, S., Ichimura, T., Fujii, Y.: A consideration of convergence of energy function in restricted Boltzmann machine by Lipschitz continuity. In: Proceedings of IEEE SMC Hiroshima Chapter YRW 2015 in Japanese, pp. 53–56 (2015)
10.
go back to reference Ichimura, T., Yoshida, K. (eds.): Knowledge-Based Intelligent Systems for Health Care. Advanced Knowledge International (ISBN 0-9751004-4-0) (2004) Ichimura, T., Yoshida, K. (eds.): Knowledge-Based Intelligent Systems for Health Care. Advanced Knowledge International (ISBN 0-9751004-4-0) (2004)
12.
go back to reference Krizhevsky, A.: Learning multiple layers of features from tiny images. Master of thesis, University of Toronto (2009) Krizhevsky, A.: Learning multiple layers of features from tiny images. Master of thesis, University of Toronto (2009)
13.
go back to reference Dieleman, S., Schrauwen, B.: Accelerating sparse restricted Boltzmann machine training using non-Gaussianity measures. In: Deep Learning and Unsupervised Feature Learning (NIPS-2012) (2012) Dieleman, S., Schrauwen, B.: Accelerating sparse restricted Boltzmann machine training using non-Gaussianity measures. In: Deep Learning and Unsupervised Feature Learning (NIPS-2012) (2012)
14.
15.
go back to reference Kamada, S., Ichimura, T.: An adaptive learning method with forgetting in deep belief network. In: Proceedings of 9th SICE Symposium on Computational Intelligence, pp. 92–96 (2016) Kamada, S., Ichimura, T.: An adaptive learning method with forgetting in deep belief network. In: Proceedings of 9th SICE Symposium on Computational Intelligence, pp. 92–96 (2016)
16.
go back to reference Kamada, S., Ichimura, T.: An adaptive learning method of restricted Boltzmann machine by neuron generation and annihilation algorithm. In: Proceedings of 2016 IEEE SMC (SMC 2016) (accepted) Kamada, S., Ichimura, T.: An adaptive learning method of restricted Boltzmann machine by neuron generation and annihilation algorithm. In: Proceedings of 2016 IEEE SMC (SMC 2016) (accepted)
Metadata
Title
A Structural Learning Method of Restricted Boltzmann Machine by Neuron Generation and Annihilation Algorithm
Authors
Shin Kamada
Takumi Ichimura
Copyright Year
2016
DOI
https://doi.org/10.1007/978-3-319-46681-1_45

Premium Partner