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Free-energy and the brain

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  • Published: 05 September 2007
  • Volume 159, pages 417–458, (2007)
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Free-energy and the brain
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  • Karl J. Friston1 &
  • Klaas E. Stephan1 
  • 7095 Accesses

  • 427 Citations

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Abstract

If one formulates Helmholtz’s ideas about perception in terms of modern-day theories one arrives at a model of perceptual inference and learning that can explain a remarkable range of neurobiological facts. Using constructs from statistical physics it can be shown that the problems of inferring what cause our sensory inputs and learning causal regularities in the sensorium can be resolved using exactly the same principles. Furthermore, inference and learning can proceed in a biologically plausible fashion. The ensuing scheme rests on Empirical Bayes and hierarchical models of how sensory information is generated. The use of hierarchical models enables the brain to construct prior expectations in a dynamic and context-sensitive fashion. This scheme provides a principled way to understand many aspects of the brain’s organisation and responses. In this paper, we suggest that these perceptual processes are just one emergent property of systems that conform to a free-energy principle. The free-energy considered here represents a bound on the surprise inherent in any exchange with the environment, under expectations encoded by its state or configuration. A system can minimise free-energy by changing its configuration to change the way it samples the environment, or to change its expectations. These changes correspond to action and perception, respectively, and lead to an adaptive exchange with the environment that is characteristic of biological systems. This treatment implies that the system’s state and structure encode an implicit and probabilistic model of the environment. We will look at models entailed by the brain and how minimisation of free-energy can explain its dynamics and structure.

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Authors and Affiliations

  1. Wellcome Trust Centre for Neuroimaging, Institute of Neurology, University College London, 12 Queen Square, London, WC1N 3BG, UK

    Karl J. Friston & Klaas E. Stephan

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  1. Karl J. Friston
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Correspondence to Karl J. Friston.

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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License ( https://creativecommons.org/licenses/by-nc/2.0 ), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

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Friston, K.J., Stephan, K.E. Free-energy and the brain. Synthese 159, 417–458 (2007). https://doi.org/10.1007/s11229-007-9237-y

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  • Accepted: 01 June 2007

  • Published: 05 September 2007

  • Issue Date: December 2007

  • DOI: https://doi.org/10.1007/s11229-007-9237-y

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Keywords

  • Variational Bayes
  • Free-energy
  • Inference
  • Perception
  • Action
  • Value
  • Learning
  • Attention
  • Selection
  • Hierarchical
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