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Analysis of Biased Competition and Cooperation for Attention in the Cerebral Cortex

Turova, Tatyana LU and Rolls, Edmund T. (2019) In Frontiers in Computational Neuroscience 13.
Abstract

A new approach to understanding the interaction between cortical areas is provided by a mathematical analysis of biased competition, which describes many interactions between cortical areas, including those involved in top-down attention. The analysis helps to elucidate the principles of operation of such cortical systems, and in particular the parameter values within which biased competition operates. The analytic results are supported by simulations that illustrate the operation of the system with parameters selected from the analysis. The findings provide a detailed mathematical analysis of the operation of these neural systems with nodes connected by feedforward (bottom-up) and feedback (top-down) connections. The analysis provides... (More)

A new approach to understanding the interaction between cortical areas is provided by a mathematical analysis of biased competition, which describes many interactions between cortical areas, including those involved in top-down attention. The analysis helps to elucidate the principles of operation of such cortical systems, and in particular the parameter values within which biased competition operates. The analytic results are supported by simulations that illustrate the operation of the system with parameters selected from the analysis. The findings provide a detailed mathematical analysis of the operation of these neural systems with nodes connected by feedforward (bottom-up) and feedback (top-down) connections. The analysis provides the critical value of the top-down attentional bias that enables biased competition to operate for a range of input values to the network, and derives this as a function of all the parameters in the model. The critical value of the top-down bias depends linearly on the value of the other inputs, but the coefficients in the function reveal non-linear relations between the remaining parameters. The results provide reasons why the backprojections should not be very much weaker than the forward connections between two cortical areas. The major advantage of the analytical approach is that it discloses relations between all the parameters of the model.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
attention, biased competition, bottom-up connections, cerebral cortex, mathematical analysis, neural networks, top-down connections
in
Frontiers in Computational Neuroscience
volume
13
publisher
Frontiers
external identifiers
  • scopus:85072739370
ISSN
1662-5188
DOI
10.3389/fncom.2019.00051
language
English
LU publication?
yes
id
27bea576-e6d8-44bf-af7e-20f8807a3bf8
date added to LUP
2019-10-10 12:23:54
date last changed
2019-10-10 12:23:54
@article{27bea576-e6d8-44bf-af7e-20f8807a3bf8,
  abstract     = {<p>A new approach to understanding the interaction between cortical areas is provided by a mathematical analysis of biased competition, which describes many interactions between cortical areas, including those involved in top-down attention. The analysis helps to elucidate the principles of operation of such cortical systems, and in particular the parameter values within which biased competition operates. The analytic results are supported by simulations that illustrate the operation of the system with parameters selected from the analysis. The findings provide a detailed mathematical analysis of the operation of these neural systems with nodes connected by feedforward (bottom-up) and feedback (top-down) connections. The analysis provides the critical value of the top-down attentional bias that enables biased competition to operate for a range of input values to the network, and derives this as a function of all the parameters in the model. The critical value of the top-down bias depends linearly on the value of the other inputs, but the coefficients in the function reveal non-linear relations between the remaining parameters. The results provide reasons why the backprojections should not be very much weaker than the forward connections between two cortical areas. The major advantage of the analytical approach is that it discloses relations between all the parameters of the model.</p>},
  articleno    = {51},
  author       = {Turova, Tatyana and Rolls, Edmund T.},
  issn         = {1662-5188},
  keyword      = {attention,biased competition,bottom-up connections,cerebral cortex,mathematical analysis,neural networks,top-down connections},
  language     = {eng},
  publisher    = {Frontiers},
  series       = {Frontiers in Computational Neuroscience},
  title        = {Analysis of Biased Competition and Cooperation for Attention in the Cerebral Cortex},
  url          = {http://dx.doi.org/10.3389/fncom.2019.00051},
  volume       = {13},
  year         = {2019},
}