[HTML][HTML] The free energy principle made simpler but not too simple

K Friston, L Da Costa, N Sajid, C Heins, K Ueltzhöffer… - Physics Reports, 2023 - Elsevier
This paper provides a concise description of the free energy principle, starting from a
formulation of random dynamical systems in terms of a Langevin equation and ending with a …

[HTML][HTML] Path integrals, particular kinds, and strange things

K Friston, L Da Costa, DAR Sakthivadivel, C Heins… - Physics of Life …, 2023 - Elsevier
This paper describes a path integral formulation of the free energy principle. The ensuing
account expresses the paths or trajectories that a particle takes as it evolves over time. The …

On Bayesian mechanics: a physics of and by beliefs

MJD Ramstead, DAR Sakthivadivel… - Interface …, 2023 - royalsocietypublishing.org
The aim of this paper is to introduce a field of study that has emerged over the last decade,
called Bayesian mechanics. Bayesian mechanics is a probabilistic mechanics, comprising …

How active inference could help revolutionise robotics

L Da Costa, P Lanillos, N Sajid, K Friston, S Khan - Entropy, 2022 - mdpi.com
Recent advances in neuroscience have characterised brain function using mathematical
formalisms and first principles that may be usefully applied elsewhere. In this paper, we …

Sustainability under active inference

M Albarracin, M Ramstead, RJ Pitliya, I Hipolito… - Systems, 2024 - mdpi.com
In this paper, we explore the known connection among sustainability, resilience, and well-
being within the framework of active inference. Initially, we revisit how the notions of well …

Reward maximization through discrete active inference

L Da Costa, N Sajid, T Parr, K Friston, R Smith - Neural Computation, 2023 - direct.mit.edu
Active inference is a probabilistic framework for modeling the behavior of biological and
artificial agents, which derives from the principle of minimizing free energy. In recent years …

The entropy production of stationary diffusions

L Da Costa, GA Pavliotis - Journal of Physics A: Mathematical …, 2023 - iopscience.iop.org
The entropy production rate is a central quantity in non-equilibrium statistical physics,
scoring how far a stochastic process is from being time-reversible. In this paper, we compute …

A worked example of the Bayesian mechanics of classical objects

DAR Sakthivadivel - International Workshop on Active Inference, 2022 - Springer
Bayesian mechanics is a new approach to studying the mathematics and physics of
interacting stochastic processes. We provide a worked example of a physical mechanics for …

Regarding Flows Under the Free Energy Principle: A Comment on" How Particular is the Physics of the Free Energy Principle?" by Aguilera, Millidge, Tschantz, and …

DAR Sakthivadivel - arXiv preprint arXiv:2205.07793, 2022 - arxiv.org
In a recent technical critique of the free energy principle (FEP) due to Aguilera-Millidge-
Tschantz-Buckley, it is argued that there are a number of instances where the FEP $\unicode …

Value of Information and Reward Specification in Active Inference and POMDPs

R Wei - arXiv preprint arXiv:2408.06542, 2024 - arxiv.org
Expected free energy (EFE) is a central quantity in active inference which has recently
gained popularity due to its intuitive decomposition of the expected value of control into a …