Skip to main content
Log in

Associate learning and correcting in a memristive neural network

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

This paper further studies the ability of the associate learning and self-correcting in a memristive artificial neural network (ANN). Different from the existing models, the present ANN contains the multiply-threshold neurons, the discrete charge-controlled memristors, and a new learning law named the max-input-feedback (MIF). We shall demonstrate the processes of the associative learning and associative correcting via a modified Pavlov experiment where more conditioning factors are considered. We also make some comparisons of MIF with spike-timing-dependent plasticity and back-propagation and show that MIF learning law is suitable to fast learning.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Chua LO (1971) Memristor: the missing circuit element. IEEE Trans Circuit Theory 18(5):507–519

    Article  Google Scholar 

  2. Strukov DB, Snider GS, Stewart DR, Williams RS (2008) The missing memristor found. Nature 452(7191):80–83

    Article  Google Scholar 

  3. Chua LO, Kang SM (1976) Memristive devices and systems. Proc IEEE 64(2):209–223

    Article  MathSciNet  Google Scholar 

  4. Ventra MD, Pershin VY, Chua LO (2009) Circuit elements with memory: memristor, memcapacitors and meminductors. Proc IEEE 97(10):1717–1724

    Article  Google Scholar 

  5. Kim H, Sah MP, Yang C, Chua L (2010) “Memristor-based Multilevel Memory”, CNNA 2010 12th international workshop. Berkeley, CA, pp 1–6

    Book  Google Scholar 

  6. Snider G (2007) Self-organized computation with unreliable memristive nanodevices. Nanotechnology 18(36):1–13

    Article  Google Scholar 

  7. Sangho S, Kyungmin K, Sung-Mo K (2011) Memristor applications for programmable analog ICs. IEEE Trans Nanotechnol 10(2):266–274

    Article  Google Scholar 

  8. Jo SH, Chang T, Ebong I, Bhadviya BB, Mazumder P, Lu W (2010) Nanoscale memristor device as synapse in neuromorphic systems. Nano Lett 10(4):1297–1301

    Article  Google Scholar 

  9. Pershin YV, Ventra MD (2011) Neuromorphic, digital and quantum computation with memory circuit elements. arXiv:1009.6025v2, pp 1–9

  10. Pershin YV, Ventra MD (2010) Experimental demonstration of associative memory with memristive neural networks. Neural Networks 23(7):881–886

    Article  Google Scholar 

  11. Itoh M, Chua LO (2009) Memristor cellular automata and memristor discrete-time cellular neural networks. Int J Bifurcation Chaos 19(11):3605–3656

    Google Scholar 

  12. Biolek Z, Biolek D, Biolkova V (2009) SPICE model of memristor with nonlinear dopant drift. Radio Eng 18(2):210–214

    Google Scholar 

  13. Batas D, Fiedler H (2011) A Memristor SPICE implementation and a new approach for magnetic flux-controlled memristor modeling. IEEE Trans Nanotechnol 10(2):250–255

    Article  Google Scholar 

  14. Shin S, Kim K, Kang S-M (2010) Compact models for memristors based on charge-flux constitutive relationships. IEEE Trans CAD Int Circ Syst 29(4):590–598

    Google Scholar 

  15. Strukov DB, Borghetti JL, Williams RS (2009) Coupled ionic and electronic transport model of thin-film semiconductor memristive behavior. Small 5(9):1058–1063

    Article  Google Scholar 

  16. Ramos CZ, Mesa LAC, Carrasco JAP, Masquelier T, Gotarredona TS, Barranco BL (2011) On spike-timing-dependent-plasticity, memristive devices, and building a self-learning visual cortex. Frontiers Neurosci 5:22

    Google Scholar 

  17. Yen G, Michel AN (1992) A learning and forgetting algorithm in associative memories: the eigenstructure method. IEEE Trans Circuits Syst 39(4):212–225

    Article  MATH  Google Scholar 

  18. Masquelier T, Thorpe SJ (2007) Unsupervised learning of visual features through spike timing dependent plasticity. PLoS Comput Biol 3(2, e31):247–257

    Google Scholar 

  19. Rumelhart DE, Hinton GE, Willians RJ (1986) Learning representations by back-propagating error. Nature 323(9):533–536

    Article  Google Scholar 

  20. Sinder GS (2008) Spike-timing-dependent learning in memristive nanodevices. IEEE international symposium on nanoscale architectures, Nanoarch, pp 85–92

  21. Masquelier T, Guyonneau R, Thorpe SJ (2009) Competitive STDP-based spike pattern learning. Neural Comput 21(5):1259–1276

    Article  MATH  Google Scholar 

  22. Pdeger H (1990) Properties of neural networks with multi-State Neurons. Springer, New York, pp 33–47

  23. Si J, Michael AN (1995) Analysis and synthesis of a class of discrete-time neural networks with multilevel threshold neurons. IEEE Trans Neural Netw 6(1):105–116

    Article  Google Scholar 

  24. Chang T, Jo SH, Lu W (2011) Short-term memory to long-term memory transition in a nanoscale memristor. ACS Nano 5(9):7669–7676

    Article  Google Scholar 

Download references

Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant 60974020, 60972155, 61101223, the Fundamental Research Funds for the Central Universities of China under Grant CDJXS10182215, CDJZR10185501, the Natural Science Foundation of Chongqing under Grant CSTC2009BB2305, and the Fundamental Research Funds for the Central Universities under Grant XDJK2010C023.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chuandong Li.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, L., Li, C., Wang, X. et al. Associate learning and correcting in a memristive neural network. Neural Comput & Applic 22, 1071–1076 (2013). https://doi.org/10.1007/s00521-012-0868-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-012-0868-7

Keywords

Navigation