Skip to main content

2017 | OriginalPaper | Buchkapitel

An Extended Algorithm Using Adaptation of Momentum and Learning Rate for Spiking Neurons Emitting Multiple Spikes

verfasst von : Yuling Luo, Qiang Fu, Junxiu Liu, Jim Harkin, Liam McDaid, Yi Cao

Erschienen in: Advances in Computational Intelligence

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This paper presents two methods of using the dynamic momentum and learning rate adaption, to improve learning performance in spiking neural networks where neurons are modelled as spiking multiple times. The optimum value for the momentum factor is obtained from the mean square error with respect to the gradient of synaptic weights in the proposed algorithm. The delta-bar-delta rule is employed as the learning rate adaptation method. The XOR and Wisconsin breast cancer (WBC) classification tasks are used to validate the proposed algorithms. Results demonstrate no error and a minimal error of 0.08 are achieved for the XOR and WBC classification tasks respectively, which are better than the original Booij’s algorithm. The minimum number of epochs for XOR and Wisconsin breast cancer tasks are 35 and 26 respectively, which are also faster than the original Booij’s algorithm – i.e. 135 (for XOR) and 97 (for WBC). Compared with the original algorithm with static momentum and learning rate, the proposed dynamic algorithms can control the convergence rate and learning performance more effectively.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

Literatur
1.
Zurück zum Zitat Maass, W.: Networks of spiking neurons: the third generation of neural network models. Neural Netw. 10(9), 1659–1671 (1997)CrossRef Maass, W.: Networks of spiking neurons: the third generation of neural network models. Neural Netw. 10(9), 1659–1671 (1997)CrossRef
2.
Zurück zum Zitat Liu, J., Harkin, J., Mcdaid, L., Halliday, D.M., Tyrrell, A.M., Timmis, J.: Self-repairing mobile robotic car using astrocyte-neuron networks. In: International Joint Conference on Neural Networks, pp. 1–8 (2016) Liu, J., Harkin, J., Mcdaid, L., Halliday, D.M., Tyrrell, A.M., Timmis, J.: Self-repairing mobile robotic car using astrocyte-neuron networks. In: International Joint Conference on Neural Networks, pp. 1–8 (2016)
3.
Zurück zum Zitat Bohte, S.M., Kok, J.N., La Poutré, H.: Error-backpropagation in temporally encoded networks of spiking neurons. Neurocomputing 48(1–4), 17–37 (2002)CrossRefMATH Bohte, S.M., Kok, J.N., La Poutré, H.: Error-backpropagation in temporally encoded networks of spiking neurons. Neurocomputing 48(1–4), 17–37 (2002)CrossRefMATH
4.
Zurück zum Zitat Xin, J., Embrechts, M.J.: Supervised learning with spiking neural networks. In: International Joint Conference on Neural Networks, vol. 3, no. 3, pp. 1772–1777 (2001) Xin, J., Embrechts, M.J.: Supervised learning with spiking neural networks. In: International Joint Conference on Neural Networks, vol. 3, no. 3, pp. 1772–1777 (2001)
5.
Zurück zum Zitat McKennoch, S., Liu, D.L.D., Bushnell, L.G.: Fast modifications of the spikeprop algorithm. In: Proceedings of the 2006 IEEE International Joint Conference on Neural Networks, vol. 16, no. 6, pp. 3970–3977 (2006) McKennoch, S., Liu, D.L.D., Bushnell, L.G.: Fast modifications of the spikeprop algorithm. In: Proceedings of the 2006 IEEE International Joint Conference on Neural Networks, vol. 16, no. 6, pp. 3970–3977 (2006)
6.
Zurück zum Zitat Jacobs, R.A.: Increased rates of convergence through learning rate adaptation. Neural Netw. 1(4), 295–307 (1988)CrossRef Jacobs, R.A.: Increased rates of convergence through learning rate adaptation. Neural Netw. 1(4), 295–307 (1988)CrossRef
7.
Zurück zum Zitat Schrauwen, B.: Extending spikeprop. In: International Joint Conference on Neural Networks, vol. 1, no. 7, pp. 471–476 (2004) Schrauwen, B.: Extending spikeprop. In: International Joint Conference on Neural Networks, vol. 1, no. 7, pp. 471–476 (2004)
8.
Zurück zum Zitat Booij, O., Tat Nguyen, H.: A gradient descent rule for spiking neurons emitting multiple spikes. Inf. Process. Lett. 95(6), 552–558 (2005)MathSciNetCrossRefMATH Booij, O., Tat Nguyen, H.: A gradient descent rule for spiking neurons emitting multiple spikes. Inf. Process. Lett. 95(6), 552–558 (2005)MathSciNetCrossRefMATH
9.
Zurück zum Zitat Kulkarni, S., Simon, S.P., Sundareswaran, K.: A spiking neural network (SNN) forecast engine for short-term electrical load forecasting. Appl. Soft Comput. J. 13(8), 3628–3635 (2013)CrossRef Kulkarni, S., Simon, S.P., Sundareswaran, K.: A spiking neural network (SNN) forecast engine for short-term electrical load forecasting. Appl. Soft Comput. J. 13(8), 3628–3635 (2013)CrossRef
10.
Zurück zum Zitat Rosado-Muñoz, A., Bataller-Mompeán, M., Guerrero-Martínez, J.: FPGA implementation of spiking neural networks. In: Proceedings of the 1st IFAC Conference on Embedded Systems, Computational Intelligence and Telematics in Control, vol. 45, no. 4, pp. 139–144 (2012) Rosado-Muñoz, A., Bataller-Mompeán, M., Guerrero-Martínez, J.: FPGA implementation of spiking neural networks. In: Proceedings of the 1st IFAC Conference on Embedded Systems, Computational Intelligence and Telematics in Control, vol. 45, no. 4, pp. 139–144 (2012)
11.
Zurück zum Zitat Rosado-Muñoz, A., Bataller-Mompeán, M., Guerrero-Martínez, J.: FPGA implementation of spiking neural networks supported by a software design environment. IFAC Proc. Vol. 45(4), 1934–1939 (2012) Rosado-Muñoz, A., Bataller-Mompeán, M., Guerrero-Martínez, J.: FPGA implementation of spiking neural networks supported by a software design environment. IFAC Proc. Vol. 45(4), 1934–1939 (2012)
12.
Zurück zum Zitat Awadalla, M.H.A., Sadek, M.A.: Spiking neural network-based control chart pattern recognition. Alex. Eng. J. 51(1), 27–35 (2012)CrossRef Awadalla, M.H.A., Sadek, M.A.: Spiking neural network-based control chart pattern recognition. Alex. Eng. J. 51(1), 27–35 (2012)CrossRef
13.
Zurück zum Zitat Dorogyy, Y., Kolisnichenko, V.: Designing spiking neural networks. In: Modern Problems of Radio Engineering, Telecommunications and Computer Science, vol. 6, pp. 124–127 (2016) Dorogyy, Y., Kolisnichenko, V.: Designing spiking neural networks. In: Modern Problems of Radio Engineering, Telecommunications and Computer Science, vol. 6, pp. 124–127 (2016)
14.
Zurück zum Zitat Ghosh-Dastidar, S., Adeli, H.: A new supervised learning algorithm for multiple spiking neural networks with application in epilepsy and seizure detection. Neural Netw. 22(10), 1419–1431 (2009)CrossRef Ghosh-Dastidar, S., Adeli, H.: A new supervised learning algorithm for multiple spiking neural networks with application in epilepsy and seizure detection. Neural Netw. 22(10), 1419–1431 (2009)CrossRef
15.
Zurück zum Zitat Ghosh-Dastidar, S., Adeli, H.: Improved spiking neural networks for EEG classification and epilepsy and seizure detection. Integr. Comput. Aided Eng. 14(4), 187–212 (2007) Ghosh-Dastidar, S., Adeli, H.: Improved spiking neural networks for EEG classification and epilepsy and seizure detection. Integr. Comput. Aided Eng. 14(4), 187–212 (2007)
16.
Zurück zum Zitat Kim, E.-M., Park, S.-M., Kim, K.-H., Lee, B.-H.: An effective machine learning algorithm using momentum scheduling. In: Fourth International Conference on Hybrid Intelligent Systems (HIS 2004), pp. 442–443 (2004) Kim, E.-M., Park, S.-M., Kim, K.-H., Lee, B.-H.: An effective machine learning algorithm using momentum scheduling. In: Fourth International Conference on Hybrid Intelligent Systems (HIS 2004), pp. 442–443 (2004)
17.
Zurück zum Zitat Delshad, E., Moallem, P., Monadjemi, S.H.: Spiking neural network learning algorithms: using learning rates adaptation of gradient and momentum steps. In: 2010 5th International Symposium on Telecommunications, no. 1, pp. 944–949 (2010) Delshad, E., Moallem, P., Monadjemi, S.H.: Spiking neural network learning algorithms: using learning rates adaptation of gradient and momentum steps. In: 2010 5th International Symposium on Telecommunications, no. 1, pp. 944–949 (2010)
18.
Zurück zum Zitat Chandra, B., Sharma, R.K.: Deep learning with adaptive learning rate using laplacian score. Expert Syst. Appl. 63(5), 1–7 (2016)CrossRef Chandra, B., Sharma, R.K.: Deep learning with adaptive learning rate using laplacian score. Expert Syst. Appl. 63(5), 1–7 (2016)CrossRef
19.
Zurück zum Zitat Huijuan, F., Jiliang, L., Fei, W.: Fast learning in spiking neural networks by learning rate adaptation. Chin. J. Chem. Eng. 20(6), 1219–1224 (2012)CrossRef Huijuan, F., Jiliang, L., Fei, W.: Fast learning in spiking neural networks by learning rate adaptation. Chin. J. Chem. Eng. 20(6), 1219–1224 (2012)CrossRef
20.
Zurück zum Zitat Salomon, R., Van Hemmen, J.L.: Accelerating backpropagation through dynamic self-adaptation. Neural Netw. 9(4), 589–601 (1996)CrossRef Salomon, R., Van Hemmen, J.L.: Accelerating backpropagation through dynamic self-adaptation. Neural Netw. 9(4), 589–601 (1996)CrossRef
21.
Zurück zum Zitat Wolberg, W.H., Mangasarian, O.L.: Multisurface method of pattern separation for medical diagnosis applied to breast cytology. Proc. Nat. Acad. Sci. 87(12), 9193–9196 (1990)CrossRefMATH Wolberg, W.H., Mangasarian, O.L.: Multisurface method of pattern separation for medical diagnosis applied to breast cytology. Proc. Nat. Acad. Sci. 87(12), 9193–9196 (1990)CrossRefMATH
Metadaten
Titel
An Extended Algorithm Using Adaptation of Momentum and Learning Rate for Spiking Neurons Emitting Multiple Spikes
verfasst von
Yuling Luo
Qiang Fu
Junxiu Liu
Jim Harkin
Liam McDaid
Yi Cao
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-59153-7_49