Evidence map›Paper›PMID 35153603›Full record

ArticleProceedings. Mathematical, physical, and engineering sciences2021

Bayesian mechanics for stationary processes.

Lancelot Da Costa, Karl Friston, Conor Heins, Grigorios A Pavliotis

Abstract read
In one paragraph

Article in Proceedings. Mathematical, physical, and engineering sciences, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.

0numbers the graph read from it
0cells of the map it votes in
19citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

19 citing papers in PubMed.

  1. The Free Energy Principle and Free Markets.Entropy (Basel, Switzerland) · 2026
    Article
  2. Article
  3. Article
  4. Article
  5. Gradient-Free De Novo Learning.Entropy (Basel, Switzerland) · 2025
    Article
  6. Article
  7. Article
  8. Review
  9. Article
  10. Article
  11. Article
  12. Article
  13. Article
  14. Epistemic Communities under Active Inference.Entropy (Basel, Switzerland) · 2022
    Article
  15. Review
  16. Article
  17. Stochastic Chaos and Markov Blankets.Entropy (Basel, Switzerland) · 2021
    Article
  18. Memory and Markov Blankets.Entropy (Basel, Switzerland) · 2021
    Article
  19. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Lancelot Da CostaDepartment of Mathematics, Imperial College London, London SW7 2AZ, UK.ORCID 0000-0003-0126-4588
Karl FristonWellcome Centre for Human Neuroimaging, University College London, London WC1N 3AR, UK.ORCID 0000-0001-7984-8909
Conor HeinsDepartment of Collective Behaviour, Max Planck Institute of Animal Behavior, Konstanz D-78457, Germany.
Grigorios A PavliotisDepartment of Mathematics, Imperial College London, London SW7 2AZ, UK.

Funding

Wellcome Trust
6 · The paper itself

Abstract

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.

Indexed as

active inferencefree-energy principleMarkov blanketnon-equilibrium steady statepredictive processingvariational Bayesian inference

Identifiers

PMID35153603
PMCPMC8652275

What OpenQuestion holds

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.