Evidence map›Paper›PMID 41593994›Full record

ArticleEntropy (Basel, Switzerland)2026

Active Inference and Functional Parametrisation: Differential Flatness and Smooth Random Realisation.

Hugues Mounier, Thomas Parr, Karl Friston

Abstract read
In one paragraph

Article in Entropy (Basel, Switzerland), 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it
0cells of the map it votes in
0citing 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

0 citing papers in PubMed.

No citing paper in PubMed yet.

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

3 authors.

Hugues MounierLaboratoire des Signaux et Systèmes, Université Paris-Saclay, Centre National de la Recherche Scientifique, CentraleSupélec, 3, rue Joliot Curie, 91192 Gif sur Yvette, France.ORCID 0000-0002-7069-3119
Thomas ParrNuffield Department of Clinical Neurosciences, University of Oxford, Oxford OX3 9DU, UK.ORCID 0000-0001-5108-5743
Karl FristonWellcome Centre for Human Neuroimaging, Queen Square Institute of Neurology, University College London, 12 Queen Square, London WC1N 3AR, UK.ORCID 0000-0001-7984-8909

Funding

Wellcome TrustWellcome Trust 226793/Z/22/Z
6 · The paper itself

Abstract

This paper is a first attempt to marry constructive nonlinear control theory techniques with active inference. Specifically, we are interested in the relationship between differential flatness and the design of generative models for use in control settings. We place specific emphasis on the pathwise properties of differentially flat systems that inherit from their definition in terms of successive temporal derivatives and relate this to the use of generalised coordinates of motion in formulating continuous-time generative models in active inference. To illustrate the basic concepts, we appeal to the example of oculomotor control.

Indexed as

active inferencedifferential flatnesspathwise formulationsperiodic smooth random functions

Identifiers

PMID41593994
PMCPMC12839773

What Socratic holds

Textmetadata
LicenceCC BY
Read underepoch 390

Registered trials

None linked

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 Socratic graph.