A Worked Example of Fokker-Planck based Active Inference

Magnus Koudahl; A. (Bert) de Vries

doi:10.1007/978-3-030-64919-7_4

A Worked Example of Fokker-Planck based Active Inference

Magnus Koudahl, A. (Bert) de Vries

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

2 Citations (Scopus)

Abstract

The Free Energy Principle (FEP) and its corollary active inference describe a complex theoretical framework with a substantial statistical mechanics foundation that is often expressed in terms of the Fokker-Planck equation. Easy-to-follow examples of this formalism are scarce, leaving a high barrier of entry to the field. In this paper we provide a worked example of an active inference agent as a hierarchical Gaussian generative model. We proceed to write its equations of motion explicitly as a Fokker-Planck equation, providing a clear mapping between theoretical accounts of FEP and practical implementation. Code is available at github.com/biaslab/ai_workshop_2020.

Original language	English
Title of host publication	Active Inference
Subtitle of host publication	First International Workshop, IWAI 2020, Co-located with ECML/PKDD 2020, Ghent, Belgium, September 14, 2020, Proceedings
Editors	Tim Verbelen, Pablo Lanillos, Christopher L. Buckley, Cedric De Boom
Place of Publication	Cham
Publisher	Springer
Chapter	4
Pages	28-34
Number of pages	7
ISBN (Print)	978-3-030-64918-0, 978-3-030-64919-7
DOIs	https://doi.org/10.1007/978-3-030-64919-7_4
Publication status	Published - 18 Dec 2020
Event	1st International Workshop on Active Inference (IWAI 2020) - Virtual, Ghent, Belgium Duration: 14 Sept 2020 → 14 Sept 2020 Conference number: 1 https://iwaiworkshop.github.io/

Publication series

Name	Communications in Computer and Information Science (CCIS)
Volume	1326
ISSN (Print)	1865-0929
ISSN (Electronic)	1865-0937

Workshop

Workshop	1st International Workshop on Active Inference (IWAI 2020)
Abbreviated title	IWAI 2020
Country/Territory	Belgium
City	Ghent
Period	14/09/20 → 14/09/20
Other	In Conjunction with ECML/PKDD 2020
Internet address	https://iwaiworkshop.github.io/

Keywords

Active inference
Fokker-Planck equation
Free energy

Access to Document

10.1007/978-3-030-64919-7_4

Cite this

Koudahl, M., & de Vries, A. (2020). A Worked Example of Fokker-Planck based Active Inference. In T. Verbelen, P. Lanillos, C. L. Buckley, & C. De Boom (Eds.), Active Inference : First International Workshop, IWAI 2020, Co-located with ECML/PKDD 2020, Ghent, Belgium, September 14, 2020, Proceedings (pp. 28-34). (Communications in Computer and Information Science (CCIS); Vol. 1326). Springer. https://doi.org/10.1007/978-3-030-64919-7_4

Koudahl, Magnus ; de Vries, A. (Bert). / A Worked Example of Fokker-Planck based Active Inference. Active Inference : First International Workshop, IWAI 2020, Co-located with ECML/PKDD 2020, Ghent, Belgium, September 14, 2020, Proceedings. editor / Tim Verbelen ; Pablo Lanillos ; Christopher L. Buckley ; Cedric De Boom. Cham : Springer, 2020. pp. 28-34 (Communications in Computer and Information Science (CCIS)).

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Koudahl, M & de Vries, A 2020, A Worked Example of Fokker-Planck based Active Inference. in T Verbelen, P Lanillos, CL Buckley & C De Boom (eds), Active Inference : First International Workshop, IWAI 2020, Co-located with ECML/PKDD 2020, Ghent, Belgium, September 14, 2020, Proceedings. Communications in Computer and Information Science (CCIS), vol. 1326, Springer, Cham, pp. 28-34, 1st International Workshop on Active Inference (IWAI 2020), Ghent, Belgium, 14/09/20. https://doi.org/10.1007/978-3-030-64919-7_4

A Worked Example of Fokker-Planck based Active Inference. / Koudahl, Magnus; de Vries, A. (Bert).
Active Inference : First International Workshop, IWAI 2020, Co-located with ECML/PKDD 2020, Ghent, Belgium, September 14, 2020, Proceedings. ed. / Tim Verbelen; Pablo Lanillos; Christopher L. Buckley; Cedric De Boom. Cham: Springer, 2020. p. 28-34 (Communications in Computer and Information Science (CCIS); Vol. 1326).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AB - The Free Energy Principle (FEP) and its corollary active inference describe a complex theoretical framework with a substantial statistical mechanics foundation that is often expressed in terms of the Fokker-Planck equation. Easy-to-follow examples of this formalism are scarce, leaving a high barrier of entry to the field. In this paper we provide a worked example of an active inference agent as a hierarchical Gaussian generative model. We proceed to write its equations of motion explicitly as a Fokker-Planck equation, providing a clear mapping between theoretical accounts of FEP and practical implementation. Code is available at github.com/biaslab/ai_workshop_2020.

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Koudahl M, de Vries A. A Worked Example of Fokker-Planck based Active Inference. In Verbelen T, Lanillos P, Buckley CL, De Boom C, editors, Active Inference : First International Workshop, IWAI 2020, Co-located with ECML/PKDD 2020, Ghent, Belgium, September 14, 2020, Proceedings. Cham: Springer. 2020. p. 28-34. (Communications in Computer and Information Science (CCIS)). doi: 10.1007/978-3-030-64919-7_4

A Worked Example of Fokker-Planck based Active Inference

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Workshop

Keywords

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