Stochastic Spiking Neural Networks at the EDGE of CHAOS

In this work we show a study about which processes are related to chaotic and synchronized neural states based on the study of in-silico implementation of Stochastic Spiking Neural Networks (SSNN). Chaotic neural ensembles are excellent transmission and convolution systems. At the same time, synchronized cells (that can be understood as ordered states of the brain) are associated to more complex non-linear computations. We experimentally show that complex and quick pattern recognition processes arise when both synchronized and chaotic states are mixed. These measurements are in accordance with in-vivo observations related to the role of neural synchrony in pattern recognition and to the speed of the real biological process. The measurements obtained from the hardware implementation of different types of neural systems suggest that the brain processing can be governed by the superposition of these two complementary states with complementary functionalities (non-linear processing for synchronized states and information convolution and parallelization for chaotic).

[1]  Alexander K. Vidybida,et al.  Input-output relations in binding neuron , 2007, Biosyst..

[2]  Thomas A. Cleland,et al.  How Spike Synchronization Among Olfactory Neurons Can Contribute to Sensory Discrimination , 2001, Journal of Computational Neuroscience.

[3]  Alexander K. Vidybida,et al.  Firing statistics of inhibitory neuron with delayed feedback. II: Non-Markovian behavior , 2013, Biosyst..

[4]  Hojjat Adeli,et al.  Improved spiking neural networks for EEG classification and epilepsy and seizure detection , 2007, Integr. Comput. Aided Eng..

[5]  Raoul-Martin Memmesheimer,et al.  Quantitative prediction of intermittent high-frequency oscillations in neural networks with supralinear dendritic interactions , 2010, Proceedings of the National Academy of Sciences.

[6]  E. Rolls Brain mechanisms for invariant visual recognition and learning , 1994, Behavioural Processes.

[7]  Sishaj P. Simon,et al.  A spiking neural network (SNN) forecast engine for short-term electrical load forecasting , 2013, Appl. Soft Comput..

[8]  Hojjat Adeli,et al.  A new supervised learning algorithm for multiple spiking neural networks with application in epilepsy and seizure detection , 2009, Neural Networks.

[9]  M. London,et al.  Sensitivity to perturbations in vivo implies high noise and suggests rate coding in cortex , 2010, Nature.

[10]  John G. Taylor,et al.  Self-organization in the time domain , 1998 .

[11]  Zheng Gao,et al.  Boolean chaos. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Luping Shi,et al.  Behind the magical numbers: Hierarchical Chunking and the Human Working Memory Capacity , 2013, Int. J. Neural Syst..

[13]  Alexander K. Vidybida,et al.  Testing of information condensation in a model reverberating spiking neural network , 2010, Int. J. Neural Syst..

[14]  Tetsuya Hishiki,et al.  A Novel Rotate-and-Fire Digital Spiking Neuron and its Neuron-Like Bifurcations and Responses , 2011, IEEE Transactions on Neural Networks.

[15]  Mauro Ursino,et al.  A Multi-Layer Neural-Mass Model for Learning Sequences using Theta/Gamma oscillations , 2013, Int. J. Neural Syst..

[16]  Haruhiko Nishimura,et al.  Modeling fluctuations in Default-Mode Brain Network Using a Spiking Neural Network , 2012, Int. J. Neural Syst..

[17]  Wofgang Maas,et al.  Networks of spiking neurons: the third generation of neural network models , 1997 .

[18]  J. J. Hopfield,et al.  Pattern recognition computation using action potential timing for stimulus representation , 1995, Nature.

[19]  Manuel Bataller-Mompeán,et al.  FPGA Implementation of Spiking Neural Network , 2012, CESCIT.

[20]  John D. Enderle,et al.  A New Linear muscle Fiber Model for Neural Control of saccades , 2013, Int. J. Neural Syst..

[21]  Christof Koch,et al.  Biophysics of Computation: Information Processing in Single Neurons (Computational Neuroscience Series) , 1998 .

[22]  Yannick Bornat,et al.  FPGA-based architecture for real-time synaptic plasticity computation , 2008, 2008 15th IEEE International Conference on Electronics, Circuits and Systems.

[23]  G. Laurent,et al.  Impaired odour discrimination on desynchronization of odour-encoding neural assemblies , 1997, Nature.

[24]  D. Chialvo Emergent complex neural dynamics , 2010, 1010.2530.

[25]  Christof Koch,et al.  Subthreshold Voltage Noise Due to Channel Fluctuations in Active Neuronal Membranes , 2000, Journal of Computational Neuroscience.

[26]  Hongming Zhou,et al.  Silicon spiking neurons for hardware implementation of extreme learning machines , 2013, Neurocomputing.

[27]  Anila Jahangiri,et al.  Phase resetting Analysis of High potassium epileptiform Activity in CA3 Region of the rat Hippocampus , 2011, Int. J. Neural Syst..

[28]  Antoni Morro,et al.  A simple CMOS chaotic integrated circuit , 2008, IEICE Electron. Express.

[29]  Silvia Tolu,et al.  Adaptive cerebellar Spiking Model Embedded in the Control Loop: Context Switching and Robustness against noise , 2011, Int. J. Neural Syst..

[30]  Carson C. Chow,et al.  Spontaneous action potentials due to channel fluctuations. , 1996, Biophysical journal.

[31]  M. Tovée,et al.  Processing speed in the cerebral cortex and the neurophysiology of visual masking , 1994, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[32]  Kazuyuki Murase,et al.  Ensembles of Neural Networks Based on the Alteration of Input Feature Values , 2012, Int. J. Neural Syst..

[33]  Stefan Schliebs,et al.  Span: Spike Pattern Association Neuron for Learning Spatio-Temporal Spike Patterns , 2012, Int. J. Neural Syst..

[34]  Antoni Morro,et al.  Chaos-Based Mixed Signal Implementation of Spiking Neurons , 2009, Int. J. Neural Syst..

[35]  Hojjat Adeli,et al.  Spiking Neural Networks , 2009, Int. J. Neural Syst..

[36]  Nils Bertschinger,et al.  Real-Time Computation at the Edge of Chaos in Recurrent Neural Networks , 2004, Neural Computation.

[37]  Yutaka Maeda,et al.  FPGA Implementation of Pulse Density Hopfield Neural Network , 2007, 2007 International Joint Conference on Neural Networks.

[38]  Antoni Morro,et al.  Hardware Implementation of Stochastic Spiking Neural Networks , 2012, Int. J. Neural Syst..