Stochastic Chaos and Markov Blankets

Friston, Karl; Heins, Conor; Ueltzhöffer, Kai; Da Costa, Lancelot; Parr, Thomas

Stochastic Chaos and Markov Blankets

Dateien

Friston_2-1hbwftgeuarj67.pdfGröße: 3.17 MBDownloads: 129

Datum

2021

Autor:innen

Friston, Karl

Heins, Conor

Ueltzhöffer, Kai

Da Costa, Lancelot

Parr, Thomas

Open Access-Veröffentlichung

Open Access Gold

Sammlungen

Biologie
Exzellenzcluster "Centre for the Advanced Study of Collective Behaviour"

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Entropy. MDPI. 2021, 23(9), 1220. eISSN 1099-4300. Available under: doi: 10.3390/e23091220

Zusammenfassung

In this treatment of random dynamical systems, we consider the existence—and identification—of conditional independencies at nonequilibrium steady-state. These independencies underwrite a particular partition of states, in which internal states are statistically secluded from external states by blanket states. The existence of such partitions has interesting implications for the information geometry of internal states. In brief, this geometry can be read as a physics of sentience, where internal states look as if they are inferring external states. However, the existence of such partitions—and the functional form of the underlying densities—have yet to be established. Here, using the Lorenz system as the basis of stochastic chaos, we leverage the Helmholtz decomposition—and polynomial expansions—to parameterise the steady-state density in terms of surprisal or self-information. We then show how Markov blankets can be identified—using the accompanying Hessian—to characterise the coupling between internal and external states in terms of a generalised synchrony or synchronisation of chaos. We conclude by suggesting that this kind of synchronisation may provide a mathematical basis for an elemental form of (autonomous or active) sentience in biology.

Fachgebiet (DDC)

570 Biowissenschaften, Biologie

Zitieren

ISO 690

FRISTON, Karl, Conor HEINS, Kai UELTZHÖFFER, Lancelot DA COSTA, Thomas PARR, 2021. Stochastic Chaos and Markov Blankets. In: Entropy. MDPI. 2021, 23(9), 1220. eISSN 1099-4300. Available under: doi: 10.3390/e23091220

BibTex

@article{Friston2021-09-17Stoch-55184,
  year={2021},
  doi={10.3390/e23091220},
  title={Stochastic Chaos and Markov Blankets},
  number={9},
  volume={23},
  journal={Entropy},
  author={Friston, Karl and Heins, Conor and Ueltzhöffer, Kai and Da Costa, Lancelot and Parr, Thomas},
  note={Article Number: 1220}
}

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Ja