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Bayesian approaches to brain function investigate the capacity of the nervous system to operate in situations of uncertainty in a fashion that is close to the optimal prescribed by Bayesian statistics. This term is used in behavioural sciences and neuroscience and studies associated with this term often strive to explain the brain's cognitive abilities based on statistical principles. It is frequently assumed that the nervous system maintains internal probabilistic models that are updated by neural processing of sensory information using methods approximating those of Bayesian probability.〔Kenji Doya (Editor), Shin Ishii (Editor), Alexandre Pouget (Editor), Rajesh P. N. Rao (Editor) (2007), Bayesian Brain: Probabilistic Approaches to Neural Coding, The MIT Press; 1 edition (Jan 1 2007)〕〔Knill David,Pouget Alexandre (2004), The Bayesian brain: the role of uncertainty in neural coding and computation,TRENDS in Neurosciences Vol.27 No.12 December 2004〕 ==Origins== This field of study has its historical roots in numerous disciplines including machine learning, experimental psychology and Bayesian statistics. As early as the 1860s, with the work of Hermann Helmholtz in experimental psychology the brain's ability to extract perceptual information from sensory data was modeled in terms of probabilistic estimation.〔Helmholtz, H. (1860/1962). Handbuch der physiologischen optik (Southall, J. P. C. (Ed.), English trans.),Vol. 3. New York: Dover.〕〔Westheimer, G. (2008) Was Helmholtz a Bayesian?" ''Perception'' 39, 642–50〕 The basic idea is that the nervous system needs to organize sensory data into an accurate internal model of the outside world. Bayesian probability has been developed by many important contributors. Pierre-Simon Laplace, Thomas Bayes, Harold Jeffreys, Richard Cox and Edwin Jaynes developed mathematical techniques and procedures for treating probability as the degree of plausibility that could be assigned to a given supposition or hypothesis based on the available evidence.〔Jaynes, E. T., 1986, `Bayesian Methods: General Background,' in Maximum-Entropy and Bayesian Methods in Applied Statistics, J. H. Justice (ed.), Cambridge Univ. Press, Cambridge〕 In 1988 E.T. Jaynes presented a framework for using Bayesian Probability to model mental processes.〔Jaynes, E. T., 1988, `How Does the Brain Do Plausible Reasoning?', in (''Maximum-Entropy and Bayesian Methods in Science and Engineering'' ), 1, G. J. Erickson and C. R. Smith (eds.)〕 It was thus realized early on that the Bayesian statistical framework holds the potential to lead to insights into the function of the nervous system. This idea was taken up in research on unsupervised learning, in particular the Analysis by Synthesis approach, branches of machine learning.〔Ghahramani, Z. (2004). Unsupervised learning. In O. Bousquet, G. Raetsch, & U. von Luxburg (Eds.), Advanced lectures on machine learning. Berlin: Springer-Verlag.〕〔Neisser, U., 1967. Cognitive Psychology. Appleton-Century-Crofts, New York.〕 In 1983 Geoffrey Hinton and colleagues proposed the brain could be seen as a machine making decisions based on the uncertainties of the outside world.〔Fahlman, S.E., Hinton, G.E. and Sejnowski, T.J.(1983). Massively parallel architectures for A.I.: Netl, Thistle, and Boltzmann machines. Proceedings of the National Conference on Artificial Intelligence, Washington DC.〕 During the 1990s researchers including Peter Dayan, Geoffrey Hinton and Richard Zemel proposed that the brain represents knowledge of the world in terms of probabilities and made specific proposals for tractable neural processes that could manifest such a Helmholtz Machine.〔Dayan, P., Hinton, G. E., & Neal, R. M. (1995). The Helmholtz machine. Neural Computation, 7, 889–904.〕〔Dayan, P. and Hinton, G. E. (1996), Varieties of Helmholtz machines. , Neural Networks, 9 1385–1403.〕〔Hinton, G. E., Dayan, P., To, A. and Neal R. M. (1995), The Helmholtz machine through time., Fogelman-Soulie and R. Gallinari (editors) ICANN-95, 483–490〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Bayesian approaches to brain function」の詳細全文を読む スポンサード リンク
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