Abstract
A memrsitor is a two-terminal electronic device whose conductance can be precisely modulated by charge or flux through it. In this paper, we present a class of memristor-based neural circuits comprising leaky integrate-and-fire (I & F) neurons and memristor-based learning synapses. Employing these neuron circuits and corresponding SPICE models, the properties of a two neurons network are shown to be similar to biology. During correlated spiking of the pre- and post-synaptic neurons, the strength of the synaptic connection increases. Conversely, it is diminished when the spiking is uncorrelated. This synaptic plasticity and associative learning is essential for performing useful computation and adaptation in large scale artificial neural networks. Finally, future circuit design and consideration are discussed with the memristor-based neural networks.
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References
Jo S, Chang T, Ebong I, Bhadviya B, Mazumder P, Lu W (2010) Nanoscale memristor device as synapse in neuromorphic systems. Nano Lett 10:1297–1301
Smith L (2006) Handbook of nature-inspired and innovative computing: integrating classical models with emerging technologies. Springer, New York
Ananthanarayanan R, Eser S, Simon H, Modha D (2009) In: Proceedings of IEEE/ACM conference high performance networking computing. Portland, OR, November 2009
Izhikevich E, Edelman G (2008) Large-scale model of mammalian thalamocortical systems. Proc Natl Acad Sci USA 105:3593–3598
Indiveri G, Chicca E, Douglas R (2006) A VLSI array of low-power spiking neurons and bistable synapses with spike? timing dependent plasticity. IEEE Trans Neural Netw 17:211–221
(1999) The scientific American book of the brain. Scientifc American, New York.
Chua L, Yang L (1988) Cellular neural networks: theory. IEEE Trans Circuits Syst 35:1257–1272
Chua L, yang L (1988) Cellular neural networks: applications. IEEE Trans Circuits Syst II 35:1273–1290
Wen S, Zeng Z (2012) Dynamics analysis of a class of memristor-based recurrent networks with time-varying delays in the presence of strong external stimuli. Neural Process Lett 35:47–59
He H, Yan L, Tu J (2012) Guaranteed stabilization of time-varying delay cellular neural networks via Riccati inequality approach. Neural Process Lett 35:151–158
Su T, Huang M, Hou C (2010) Cellular neural networks for gray image noise cancellation based on a hybrid linear matrix inequaltiy and particle swarm optimization approach. Neural Process Lett 32:147–165
Sang Y, Yi Z, Zhou J (2010) Spatial point-data reduction using pulse coupled neural network. Neural Process Lett 32:11–29
Balasubramaniam P, Vembarasan V, Rakkiyappan R (2011) Leakage delays in T-S fuzzy cellular neural networks. Neural Process Lett 33:111–136
Li H, Liao X, Li C, Huang H, Li C (2011) Edge detection of noisy images based on cellular neural networks. Commun Nonlinear Sci Numer Simul 16:3746–3759
Li H, Liao X, Liao R (2012) A unified approach to chaos suppressing and inducing in a periodically forced family of nonlinear oscillators. IEEE Trans Circuits Syst I 59:784–795
He X, Li C, Shu Y (2012) Bogdanov-Takens bifurcation in a single inertial neuron model with delay. Neurocomput 89(15):193–201
He X, Li C, Huang T, Li C (2013) Codimension two bifurcation in a delayed neural network with unidirectional coupling. Nonlinear anal RWA 14(2):1191–1202
Wang H, Song Q, Duan C (2010) LMI criteria on exponential stability of BAM neural networks with both time-varying delays and general activation functions. Mathemat Comput Simul 81(4):837–850
Wang H, Song Q (2010) State estimation for neural networks with mixed interval time-varying delays. Neurocomputer 73(7):1281–1288
Li C, Li C, Huang T (2011) Exponential stability of impulsive high-order Hopfield-type neural networks with delays and reaction-diffusion. Int J Comput Math 88(15):3150–3162
Li C, Li C, Liao X, Huang T (2011) Impulsive effects on stability of high-order BAM neural networks with time delays. Neurocomputer 74(10):1541–1550
Huang T, Li C, Duan S et al (2012) Robust exponential stability of uncertain delayed neural networks With stochastic perturbation and impulse effects. IEEE Trans Neural Netw Learn Syst 23:866–875
Li C, Wu S, Feng G, Liao X (2011) Stabilizing effects of impulses in discrete-time delayed neural networks. IEEE Trans Neural Netw 22:323–329
Li C, Feng G (2008) Stabilizing effects of impulse in delayed BAM neural networks. IEEE Trans Circuits Syst II 55:1284–1288
Li H, Gao H, Shi H (2010) Passivity analysis for neural networks with discrete and distributed delays. IEEE Trans Neural Netw 22:1842–1847
Li H, Chen B, Zhou Q, Qian W (2009) Robust stability for uncertain delayed fuzzy hopfield neural networks with markovian jumping parameters. IEEE Trans Syst Man Cybern B Cybern 39:94–102
Roska T, Chua L (1993) The CNN universal machine: an analogic array computer. IEEE Trans Circuits Syst II 40:163–172
Zheng C, Zhang H, Wang Z (2010) Improved robust stability criteria for delayed cellular neural networks via the LMI approach. IEEE Trans Circuits Syst II Expr Briefs 57:41–45
Kim H, Pd Sah M, Yang C, Roska T, Chua L (2011) Neural synaptic weighting with a pulse-based memritor circuit. IEEE Trans Circuits Syst I 59:148–158
Strukov D, Snider G, Stewart D, Williams R (2008) The missing memristor found. Nature 453:80–83
Chua L (1971) Memristor-The missing circuit element. IEEE Trans Circuits Theory 18:507–519
Liu S, Douglas R (2004) Temporal coding in a silicon network of integrate-and-fire neurons. IEEE Trans Neural Netw 15:1305–1314
Chicca E, Badoni D, Dante V, D’Andreagiovanni M, Salina G, Fusi S, Del Giudice P (2003) A VLSI recurrent network of integrate-and fire neurons connected by plastic synapses with long term memory. IEEE Trans Neural Netw 14:1297–1307
Choi T, Shi B, Boahen K (2004) An on-off orientation selective address event representation image transceiver chip. IEEE Trans Circuits Syst I 51:342–353
Indiveri G (2001) A neuromorphic VLSI device for implementing 2-D selective attention systems. IEEE Trans Neural Netw 12:1455–1463
Di Ventra M, Pershin Y, Chua L (2009) Circuit elements with memory: memristor, memcapacitors and meminductors. Proc IEEE 97:1717–1724
Cantley K, Subramaniam A, Stiegler H, Chapman P, Vogel E (2011) Hebbian learning in spiking neural networks with nanocrystalline silicon TFTs and memristive synapse. IEEE Trans Nanotechnol 10:1066–1073
Cantley K, Subramaniam A, Stiegler H, Chapman P, Vogel E (2012) Neural learning circuits utilizing nano-crystalline silicon transistors and memristors. IEEE Trans Neural Netw Learn Syst 23:565–573
Snider G (2007) Self-organized computation with unreliable, memristive nanodevices. Nanotechnology 18:1–13
Sah M, Yang C, Kim H, Chua L (2012) A voltage mode memristor bridge synaptic circuit with memristor emulators. Sensors 12:3587–3604
Kim H, Sah M, Yang C, Cho S, Chua L (2012) Memristor bridge synapses. Proc IEEE. doi:10.1109/jproc.2011.2166749
Linares-Barranco B, Serrano-Gotarredona T (2009) Exploiting memristance in adaptive asynchronous spiking neuromorphic nanotechnology systems. In 9th IEEE Conference on Nanotechnology, Genoa, Italy, 601–604
Di Pershin Y, Ventra M (2010) Experimental demonstration of associative memory with memristive neural networks. Neural Netw 23:881–886
Xia Q, Robinett W, Cumbie M, Banerjee N, Cardinali T, Yang J, Wu W, Li X, Tong W, Strukov D, Snider G, Medeiros-Ribeiro G, Williams R (2009) Memristor-CMOS hybrid integrated circuits for reconfigurable logic. Nano Lett 9:3640–3645
Wang X, Chen Y, Xi H, Li H, Dimitrov D (2009) Spintronic memristor through spin-torque-induced magnetization motion. IEEE Electron Device Lett 30:294–297
Yang J, Picket M, Li X, Ohlberg A, Stewart D, Williams R (2008) Memristive switching mechanism for metal/oxide/metal nanodevices. Nature Nanotechnol 3:429–433
Ho Y, Huang G, Li P (2011) Dyanmical properties and design analysis for nonvolatile memristor memories. IEEE Trans Circuits Syst I 58:724–736
Joglekar Y, Wolf S (2009) The elusive memristor: properties of basic electrical circuits. Eur J Phys 30:661–675
Pickett M, Strukov D, Borghetti J, Yang J, Snider G, Williams R (2009) Switching dynamics in titanium dioxide memristive devices. J Appl Phys 106:074508–074508-6
Mead C (1989) Analog VLSI and neural systems. Addison-Wesley, Reading
Diorio C, Hasler P, Minch B, Mead C (1996) A single-transistor silicon synapse. IEEE Trans Electron Devices 43:1972–1980
Chua L, Kang S (1976) Memristive devices and systems. Proc IEEE 64:209–223
Chen L, Li C, Wang X, Duan S (2012) Associate learning and correcting in a memristive neural network. Neural Comput Appl. doi:10.1007/s00521-012-0868-7
Acknowledgments
The work is supported by the Natural Science Foundation of China under Grant 60974021, the 973 Program of China under Grant 2011CB710606, the Fund for Distinguished Young Scholars of Hubei Province under Grant 2010CDA081, the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant 20100142110021, National Priority Research Project NPRP 4-451-2-168, funded by Qatar National Research Fund.
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Wen, S., Zeng, Z. & Huang, T. Associative Learning of Integrate-and-Fire Neurons with Memristor-Based Synapses. Neural Process Lett 38, 69–80 (2013). https://doi.org/10.1007/s11063-012-9263-8
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DOI: https://doi.org/10.1007/s11063-012-9263-8