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The free energy principle (FEP) states that any dynamical system can be interpreted as performing Bayesian inference upon its surrounding environment. In this work, we examine in depth the assumptions required to derive the FEP in the…

Neurons and Cognition · Quantitative Biology 2022-05-23 Miguel Aguilera , Beren Millidge , Alexander Tschantz , Christopher L. Buckley

We discuss an approach to mathematically modelling systems made of objects that are coupled together, using generative models of the dependence relationships between states (or trajectories) of the things comprising such systems. This broad…

Statistical Mechanics · Physics 2026-01-28 Karl J Friston , Maxwell J D Ramstead , Dalton A R Sakthivadivel

This monograph attempts a theory of every 'thing' that can be distinguished from other things in a statistical sense. The ensuing statistical independencies, mediated by Markov blankets, speak to a recursive composition of ensembles (of…

Neurons and Cognition · Quantitative Biology 2019-06-26 Karl Friston

This paper presents a continuous, information-theoretic extension of the Free Energy Principle through the concept of Markov blanket density, i.e., a scalar field that quantifies the degree of conditional independence between internal and…

Neurons and Cognition · Quantitative Biology 2025-08-12 Luca M. Possati

The aim of this paper is to leverage the free-energy principle and its corollary process theory, active inference, to develop a generic, generalizable model of the representational capacities of living creatures; that is, a theory of…

Neurons and Cognition · Quantitative Biology 2020-12-02 Maxwell J. D. Ramstead , Casper Hesp , Alec Tschantz , Ryan Smith , Axel Constant , Karl Friston

The Free-Energy-Principle (FEP) is an influential and controversial theory which postulates a deep and powerful connection between the stochastic thermodynamics of self-organization and learning through variational inference. Specifically,…

Artificial Intelligence · Computer Science 2021-10-05 Beren Millidge , Anil Seth , Christopher L Buckley

The free energy principle (FEP) is a mathematical framework that describes how biological systems self-organize and survive in their environment. This principle provides insights on multiple scales, from high-level behavioral and cognitive…

Neurons and Cognition · Quantitative Biology 2021-03-24 David Kappel , Christian Tetzlaff

In this commentary, we respond to a technical analysis of the Free Energy Principle (hereafter: FEP) presented in "How particular is the physics of the Free Energy Principle" by Aguilera et al. In the target article, the authors analyzed…

Statistical Mechanics · Physics 2022-07-13 Conor Heins , Lancelot Da Costa

The Free Energy Principle (FEP) states that under suitable conditions of weak coupling, random dynamical systems with sufficient degrees of freedom will behave so as to minimize an upper bound, formalized as a variational free energy, on…

Quantum Physics · Physics 2022-07-21 Chris Fields , Karl Friston , James F. Glazebrook , Michael Levin

The Free-Energy Principle (FEP) [1-3] has been adopted in a variety of ambitious proposals that aim to characterize all adaptive, sentient, and cognitive systems within a unifying framework. Judging by the amount of attention it has…

Neurons and Cognition · Quantitative Biology 2024-01-18 Zahra Sheikhbahaee , Adam Safron , Casper Hesp , Guillaume Dumas

The free energy principle (FEP) in the neurosciences stipulates that all viable agents induce and minimize informational free energy in the brain to fit their environmental niche. In this study, we continue our effort to make the FEP a more…

Neurons and Cognition · Quantitative Biology 2021-01-25 Chang Sub Kim

We summarize the original formulation of the free energy principle, and highlight some technical issues. We discuss how these issues affect related results involving generalised coordinates and, where appropriate, mention consequences for…

Neurons and Cognition · Quantitative Biology 2021-03-02 Martin Biehl , Felix A. Pollock , Ryota Kanai

The brain is a biological system comprising nerve cells and orchestrates its embodied agent's perception, behavior, and learning in the dynamic environment. The free energy principle (FEP) advocated by Karl Friston explicates the local,…

Neurons and Cognition · Quantitative Biology 2024-10-07 Chang Sub Kim

We study the problem of efficient exploration in order to learn an accurate model of an environment, modeled as a Markov decision process (MDP). Efficient exploration in this problem requires the agent to identify the regions in which…

The free energy principle (FEP), as an encompassing framework and a unified brain theory, has been widely applied to account for various problems in fields such as cognitive science, neuroscience, social interaction, and hermeneutics. As a…

Neural and Evolutionary Computing · Computer Science 2023-06-13 Jingwei Liu

The Targeted Free Energy Perturbation (TFEP) method aims to overcome the time-consuming and computer-intensive stratification process of standard methods for estimating the free energy difference between two states. To achieve this, TFEP…

Chemical Physics · Physics 2023-02-24 Soo Jung Lee , Amr H. Mahmoud , Markus A. Lill

Motivated by an increasing demand for models that can effectively describe features of complex multivariate time series, e.g. from sensor data in biomechanics, motion analysis, and sports science, we introduce a novel state-space modeling…

Methodology · Statistics 2025-06-23 Alice Giampino , Bernardo Nipoti , Marina Vannucci , Michele Guindani

Dynamic Bayesian networks provide a compact and natural representation for complex dynamic systems. However, in many cases, there is no expert available from whom a model can be elicited. Learning provides an alternative approach for…

Artificial Intelligence · Computer Science 2013-01-30 Xavier Boyen , Nir Friedman , Daphne Koller

Since the earliest stages of human civilization, advances in technology have been tightly linked to our ability to understand and predict the mechanical behavior of materials. In recent years, this challenge has increasingly been framed…

Numerical Analysis · Mathematics 2026-03-30 Francesco Regazzoni

The free energy principle (FEP) from neuroscience provides a framework called active inference for the joint estimation and control of state space systems, subjected to colored noise. However, the active inference community has been…

Systems and Control · Electrical Eng. & Systems 2022-04-06 Ajith Anil Meera , Martijn Wisse
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