Bayesian mechanics for stationary processes

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2021
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Da Costa, Lancelot
Friston, Karl
Pavliotis, Grigorios A.
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Proceedings of the Royal Society of London, Series A : Mathematical, Physical and Engineering Sciences. Royal Society of London. 2021, 477(2256), 20210518. ISSN 1364-5021. eISSN 1471-2946. Available under: doi: 10.1098/rspa.2021.0518
Zusammenfassung

This paper develops a Bayesian mechanics for adaptive systems. Firstly, we model the interface between a system and its environment with a Markov blanket. This affords conditions under which states internal to the blanket encode information about external states. Second, we introduce dynamics and represent adaptive systems as Markov blankets at steady state. This allows us to identify a wide class of systems whose internal states appear to infer external states, consistent with variational inference in Bayesian statistics and theoretical neuroscience. Finally, we partition the blanket into sensory and active states. It follows that active states can be seen as performing active inference and well-known forms of stochastic control (such as PID control), which are prominent formulations of adaptive behaviour in theoretical biology and engineering.

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570 Biowissenschaften, Biologie
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ISO 690DA COSTA, Lancelot, Karl FRISTON, Conor HEINS, Grigorios A. PAVLIOTIS, 2021. Bayesian mechanics for stationary processes. In: Proceedings of the Royal Society of London, Series A : Mathematical, Physical and Engineering Sciences. Royal Society of London. 2021, 477(2256), 20210518. ISSN 1364-5021. eISSN 1471-2946. Available under: doi: 10.1098/rspa.2021.0518
BibTex
@article{DaCosta2021Bayes-55927,
  year={2021},
  doi={10.1098/rspa.2021.0518},
  title={Bayesian mechanics for stationary processes},
  number={2256},
  volume={477},
  issn={1364-5021},
  journal={Proceedings of the Royal Society of London, Series A : Mathematical, Physical and Engineering Sciences},
  author={Da Costa, Lancelot and Friston, Karl and Heins, Conor and Pavliotis, Grigorios A.},
  note={Article Number: 20210518}
}
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