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Biological Cybernetics

, Volume 107, Issue 2, pp 161–178 | Cite as

Asymmetry in neural fields: a spatiotemporal encoding mechanism

  • Mauricio CerdaEmail author
  • Bernard Girau
Original Paper

Abstract

Neural field models have been successfully applied to model diverse brain mechanisms like visual attention, motor control, and memory. Most theoretical and modeling works have focused on the study of the dynamics of such systems under variations in neural connectivity, mainly symmetric connectivity among neurons. However, less attention has been given to the emerging properties of neuron populations when neural connectivity is asymmetric, although asymmetric activity propagation has been observed in cortical tissue. Here we explore the dynamics of neural fields with asymmetric connectivity and show, in the case of front propagation, that it can bias the population to follow a certain trajectory with higher activation. We find that asymmetry relates linearly to the input speed when the input is spatially localized, and this relation holds for different kernels and input shapes. To illustrate the behavior of asymmetric connectivity, we present an application: standard video sequences of human motion were encoded using the asymmetric neural field and compared to computer vision techniques. Overall, our results indicate that asymmetric neural fields are a competitive approach for spatiotemporal encoding with two main advantages: online classification and distributed operation.

Keywords

Dynamical systems Neural fields Pattern recognition Asymmetric connectivity Human motion 

Notes

Acknowledgments

M.C. is funded by the Millennium Scientific Initiative (ICM P09-015-F). The authors want to acknowledge the anonymous reviewers for their valuable comments and help improving the quality of the manuscript.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Laboratory for Scientific Image Analysis (SCIAN-LAB) at the Program of Anatomy and Developmental Biology and the Biomedical Neuroscience Institute BNI, ICBM, Faculty of MedicineUniversidad de ChileSantiagoChile
  2. 2.LORIA/Université Lorraine, Cortex Group, Campus ScientifiqueVandoeuvres-les-NancyFrance

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