From Spiking Neurons to Neural Fields: Bridging the Gap to Achieve Faster Simulations of Neural Systems

2013 ◽  
pp. 83-89
Author(s):  
Peter A. Robinson ◽  
Jong Won Kim
Keyword(s):  
Spiking Neurons ◽  
Neural Systems ◽  
Neural Fields

Fast Sigmoidal Networks via Spiking Neurons

1997 ◽  
Vol 9 (2) ◽  
pp. 279-304 ◽  
Author(s):  
Wolfgang Maass
Keyword(s):  
Temporal Coding ◽  
Spiking Neurons ◽  
Neural Nets ◽  
Neural Systems ◽  
Speed Of Information Processing ◽  
Robust Implementation ◽  
Synchronous Firing ◽  
Maximal Speed ◽  
Pulse Stream ◽  
Noise Robust

We show that networks of relatively realistic mathematical models for biological neurons in principle can simulate arbitrary feedforward sigmoidal neural nets in a way that has previously not been considered. This new approach is based on temporal coding by single spikes (respectively by the timing of synchronous firing in pools of neurons) rather than on the traditional interpretation of analog variables in terms of firing rates. The resulting new simulation is substantially faster and hence more consistent with experimental results about the maximal speed of information processing in cortical neural systems. As a consequence we can show that networks of noisy spiking neurons are “universal approximators” in the sense that they can approximate with regard to temporal coding any given continuous function of several variables. This result holds for a fairly large class of schemes for coding analog variables by firing times of spiking neurons. This new proposal for the possible organization of computations in networks of spiking neurons systems has some interesting consequences for the type of learning rules that would be needed to explain the self-organization of such networks. Finally, the fast and noise-robust implementation of sigmoidal neural nets by temporal coding points to possible new ways of implementing feedforward and recurrent sigmoidal neural nets with pulse stream VLSI.

scholarly journals Delay effects in brain dynamics

2009 ◽  
Vol 367 (1891) ◽  
pp. 1059-1062 ◽  
Author(s):  
Gabor Stepan
Keyword(s):  
Time Delays ◽  
Nonlinear Dynamical Systems ◽  
Neural Systems ◽  
Neural Fields ◽  
Special Issue ◽  
Nonlinear Dynamical ◽  
Systems Research ◽  
Delay Effects ◽  
Introductory Paper

There are in our existence spots of time, That with distinct pre-eminence retain A renovating virtue, whence … our minds Are nourished and invisibly repaired;…(Wordsworth 1888, ||. 208–211, The prelude—book twelfth, imagination and taste, how impaired and restored , written in 1805) This brief introductory paper reviews the methods and the results presented in the special issue. The general destabilizing effects of time delays in nonlinear dynamical systems are summarized and some similarities in the philosophical approaches of neural systems research in distinct disciplines are pointed out. All the invited papers focus on the central role of time delays in the dynamics of neural systems. The research contributions are set in order according to the increasing number of neurons involved in the corresponding study from a couple of neurons through neural fields to populations and clusters of neurons.

Effects of Working Memory Training on Neural Systems

2013 ◽  
Author(s):  
Hikaru Takeuchi ◽  
Yasuyuki Taki ◽  
Ryuta Kawashima
Keyword(s):  
Working Memory ◽  
Working Memory Training ◽  
Neural Systems ◽  
Memory Training

Neural systems engaged by romantic love: An fMRI study

2004 ◽  
Author(s):  
Arthur Aron ◽  
Helen Fisher ◽  
Debra Mashek ◽  
Greg Strong ◽  
Haifang Li ◽  
...  
Keyword(s):  
Romantic Love ◽  
Neural Systems ◽  
Fmri Study

Some thoughts on lexemes, the dome, and inner speech

2018 ◽  
Vol 4 (1) ◽  
Author(s):  
William Benzon
Keyword(s):  
Language Development ◽  
Common Sense ◽  
Cognitive Structure ◽  
External World ◽  
Inner Speech ◽  
Neural Systems ◽  
The Common

Sydney Lamb’s model focuses our attention on the physicality of language, of the signs themselves as objects in the external world and the neural systems the support them. By means of the metaphor of a cognitive dome, he demonstrates that there is no firm line between linguistic and cognitive structure. In this context, I offer physically grounded accounts of Jakobson’s metalingual and emotive functions. Drawing on Vygotsky’s account of language development, I point out that inner speech, corresponding to the common sense notion of thought, originates in a circuit that goes through the external world and is then internalized.

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