Stochastic Chaos and Markov Blankets

Cite This

Files in this item

Checksum: MD5:9fc74a38d75853b8ac9fd58a2fbbe660

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

@article{Friston2021-09-17Stoch-55184, title={Stochastic Chaos and Markov Blankets}, year={2021}, doi={10.3390/e23091220}, 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} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dc:creator>Parr, Thomas</dc:creator> <dspace:isPartOfCollection rdf:resource=""/> <dc:contributor>Ueltzhöffer, Kai</dc:contributor> <dc:creator>Da Costa, Lancelot</dc:creator> <dcterms:rights rdf:resource=""/> <dc:creator>Ueltzhöffer, Kai</dc:creator> <dc:rights>Attribution 4.0 International</dc:rights> <dc:date rdf:datatype="">2021-10-08T07:19:05Z</dc:date> <dc:creator>Friston, Karl</dc:creator> <dc:contributor>Heins, Conor</dc:contributor> <dcterms:hasPart rdf:resource=""/> <dc:language>eng</dc:language> <dspace:isPartOfCollection rdf:resource=""/> <dc:creator>Heins, Conor</dc:creator> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dc:contributor>Friston, Karl</dc:contributor> <dcterms:abstract xml:lang="eng">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.</dcterms:abstract> <bibo:uri rdf:resource=""/> <dc:contributor>Parr, Thomas</dc:contributor> <dcterms:isPartOf rdf:resource=""/> <dcterms:isPartOf rdf:resource=""/> <dcterms:available rdf:datatype="">2021-10-08T07:19:05Z</dcterms:available> <dcterms:issued>2021-09-17</dcterms:issued> <dc:contributor>Da Costa, Lancelot</dc:contributor> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:title>Stochastic Chaos and Markov Blankets</dcterms:title> <dspace:hasBitstream rdf:resource=""/> </rdf:Description> </rdf:RDF>

Downloads since Oct 8, 2021 (Information about access statistics)

Friston_2-1hbwftgeuarj67.pdf 90

This item appears in the following Collection(s)

Attribution 4.0 International Except where otherwise noted, this item's license is described as Attribution 4.0 International

Search KOPS


My Account