Abstract
With regard to neural networks, there are two different areas which have generated two lines of research. One research interest comes from the field of computer science which seeks to create and design neural networks capable of performing computational tasks. In this line of research, any neural network is relevant because the important issue is the problems which they are capable of resolving. Thus, neural networks are computational devices and computational power and the computational process which they perform are researched. The other interest of research is related to neuroscience. This focuses on both neural and brain activity. The big difference between these two lines of research can be observed from the outset. In the first, the neural network is designed and its performance on computational tasks is then researched. In the second, performance on computational tasks is known but the neural mechanism is not and neuroscience seeks to identify it. An interaction between these two lines of research is very positive because it produces synergies which generate important advances in both lines of research e.g. Hopfield’s networks. This article enunciates a neural mechanism to interpret neural dynamics based on some of the results produced by computer science. This mechanism identifies an internal or external state s with a formal language L. Independently, if the mechanism exist or not in the human brain, this mechanism can be used to design new architectures for neural networks.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Amari, S.-I.: Neural theory of association and concept-formation. Biological Cybernetics 26(3), 175–185 (1977)
Amit, D.J.: Modeling Brain Function: The World of Attractor Neural Networks. Cambridge University Press (1992)
Bathellier, B., et al.: Discrete neocortical dynamics predict behavioral categorization of sounds. Neuron 76(2), 435–449 (2012)
Gray, C.M., et al.: Synchronization of oscillatory neuronal responses in cat striate cortex: Temporal properties. Visual Neuroscience 8, 337–347 (1992)
Hirsch, M.W.: Convergent activation dynamics in continuous time networks. Neural Networks 2(5), 331–349 (1989)
Hopfield, J.J.: Neural networks and physical systems with emergent collective computational abilities. Proceedings of the National Academy of Sciences 79(8), 2554–2558 (1982)
Joliot, M., Ribary, U., Llinás, R.: Human oscillatory brain activity near 40 hz coexists with cognitive temporal binding. Proceedings of the National Academy of Sciences 91(24), 11748–11751 (1994)
Kenet, T., et al.: Spontaneously emerging cortical representations of visual attributes. Nature 425, 954–956 (2003)
Kohonen, T.: Associative Memory-A System Theoretical Approach. Springer (1978)
Kolen, J.F.: Fool’s gold: Extracting finite state machines from recurrent network dynamics. In: Advances in Neural Information Processing Systems, vol. 6, pp. 501–508. Morgan Kaufmann (1994)
Llinás, R.R., et al.: Gamma-band deficiency and abnormal thalamocortical activity in p/q-type channel mutant mice. Proceedings of the National Academy of Sciences 104(45), 17819–17824 (2007)
Llinás, R.: The intrinsic electrophysiological properties of mammalian neurons: insights into central nervous system function. Science 242(4886), 1654–1664 (1988)
Marr, D.: Vision: A Computational Investigation into the Human Representation and Processing of Visual Information. Henry Holt and Co., Inc., New York (1982)
McCulloch, W., Pitts, W.: A logical calculus of the ideas immanent in nervous activity. Bulletin of Mathematical Biophysics (5), 115–133 (1943)
Meyers, E.M., Freedman, D.J., Kreiman, G., Miller, E.K., Poggio, T.: Dynamic population coding of category information in inferior temporal and prefrontal cortex. Journal of Neurophysiology 100(3), 1407–1419 (2008)
Minsky, M.L.: Computation: Finite and Infinite Machines. Prentice-Hall, Inc. (1967)
Mira, J., Delgado, A.E.: Where is knowledge in robotics? some methodological issues on symbolic and connectionist perspectives of AI. In: Zhou, C., Maravall, D., Ruan, D., Kacprzyk, J. (eds.) Autonomous Robotic Systems, pp. 3–34 (2003)
Mira, J., Delgado, A.: Neural modeling in cerebral dynamics. Biosystems 71(1-2), 133–144 (2003)
Mira, J.M., García, A.E.: On how the computational paradigm can help us to model and interpret the neural function. Natural Computing 6(3), 211–240 (2007)
Newell, A.: The knowledge level. AI Magazine 2(2), 1–33 (1981)
Omlin, C.: Understanding and Explaining DRN Behavior. In: Field Guide to Dynamical Recurrent Networks, pp. 207–227. Wiley-IEEE Press (2001)
Pepperberg, I.: Talking with alex: Logic and speech in parrots. Scientific American 9(4), 60–65 (1998)
Polack, C., McConnell, B., Miller, R.: Associative foundation of causal learning in rats. Learning and Behavior 41(1), 25–41 (2013)
Sekar, K., et al.: Cortical response tracking the conscious experience of threshold duration visual stimuli indicates visual perception is all or none. Proceedings of the National Academy of Sciences 110(14), 5642–5647 (2013)
Stosiek, C., et al.: In vivo two-photon calcium imaging of neuronal networks. Proceedings of the National Academy of Sciences 100(12), 7319–7324 (2003)
Tsuda, I.: Toward an interpretation of dynamic neural activity in terms of chaotic dynamical systems. Behavioral and Brain Sciences 24(5), 793–810 (2001)
Tsuda, I.: Hypotheses on the functional roles of chaotic transitory dynamics. Chaos: An Interdisciplinary Journal of Nonlinear Science 19(1), 15113 (2009)
Zimmerman, H., Neuneier, R.: Neural Network Architectures for the Modeling of Dynamic Systems. In: A Field Guide to Dynamical Recurrent Networks, pp. 311–350. Wiley-IEEE Press (2001)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Miguel-Tomé, S. (2015). Trajectories-State: A New Neural Mechanism to Interpretate Cerebral Dynamics. In: Ferrández Vicente, J., Álvarez-Sánchez, J., de la Paz López, F., Toledo-Moreo, F., Adeli, H. (eds) Artificial Computation in Biology and Medicine. IWINAC 2015. Lecture Notes in Computer Science(), vol 9107. Springer, Cham. https://doi.org/10.1007/978-3-319-18914-7_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-18914-7_10
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-18913-0
Online ISBN: 978-3-319-18914-7
eBook Packages: Computer ScienceComputer Science (R0)