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The Free Energy Principle (FEP) is a theoretical framework for describing how (intelligent) systems self-organise into coherent, stable structures by minimising a free energy functional. Active Inference (AIF) is a corollary of the FEP that…

Artificial Intelligence · Computer Science 2023-10-17 Magnus Koudahl , Thijs van de Laar , Bert de Vries

The Free Energy Principle (FEP) postulates that biological agents perceive and interact with their environment in order to minimize a Variational Free Energy (VFE) with respect to a generative model of their environment. The inference of a…

Machine Learning · Statistics 2022-04-07 Thijs van de Laar , Magnus Koudahl , Bart van Erp , Bert de Vries

Physical AI agents, such as robots and other embodied systems operating under tight and fluctuating resource constraints, remain far less capable than biological agents in open-ended real-world environments. This paper argues that Active…

Machine Learning · Statistics 2026-03-24 Bert de Vries

Research on the so-called "free-energy principle'' (FEP) in cognitive neuroscience is becoming increasingly high-profile. To date, introductions to this theory have proved difficult for many readers to follow, but it depends mainly upon two…

Artificial Intelligence · Computer Science 2015-03-16 Simon McGregor , Manuel Baltieri , Christopher L. Buckley

In the last decade, the free energy principle (FEP) and active inference (AIF) have achieved many successes connecting conceptual models of learning and cognition to mathematical models of perception and action. This effort is driven by a…

Artificial Intelligence · Computer Science 2024-11-25 Joséphine Pazem , Marius Krumm , Alexander Q. Vining , Lukas J. Fiderer , Hans J. Briegel

We present a message passing approach to Expected Free Energy (EFE) minimization on factor graphs, based on the theory introduced in arXiv:2504.14898. By reformulating EFE minimization as Variational Free Energy minimization with epistemic…

Artificial Intelligence · Computer Science 2026-03-03 Wouter W. L. Nuijten , Mykola Lukashchuk , Thijs van de Laar , Bert de Vries

Understanding how individual agents make strategic decisions within collectives is important for advancing fields as diverse as economics, neuroscience, and multi-agent systems. Two complementary approaches can be integrated to this end.…

Multiagent Systems · Computer Science 2025-05-21 Jaime Ruiz-Serra , Patrick Sweeney , Michael S. Harré

Autonomous robotic navigation in real-world environments requires exploration to acquire environmental information as well as goal-directed navigation in order to reach specified targets. Active inference (AIF) based on the free-energy…

Robotics · Computer Science 2025-10-28 Riko Yokozawa , Kentaro Fujii , Yuta Nomura , Shingo Murata

Based on a generative model (GM) and beliefs over hidden states, the free energy principle (FEP) enables an agent to sense and act by minimizing a free energy bound on Bayesian surprise. Inclusion of prior beliefs in the GM about desired…

Systems and Control · Electrical Eng. & Systems 2021-07-28 Thijs van de Laar , Ayça Özçelikkale , Henk Wymeersch

This paper argues that Active Inference (AIF) provides a crucial foundation for developing autonomous AI agents capable of learning from experience without continuous human reward engineering. As AI systems begin to exhaust high-quality…

Artificial Intelligence · Computer Science 2025-08-08 Bo Wen

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

Automated decision-making under uncertainty requires balancing exploitation and exploration. Classical methods treat these separately using heuristics, while Active Inference unifies them through Expected Free Energy (EFE) minimization.…

Artificial Intelligence · Computer Science 2025-11-25 Wouter W. L. Nuijten , Mykola Lukashchuk

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 pragmatic and an epistemic component. While numerous…

Artificial Intelligence · Computer Science 2024-08-14 Ran Wei

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

The free energy principle, and its corollary active inference, constitute a bio-inspired theory that assumes biological agents act to remain in a restricted set of preferred states of the world, i.e., they minimize their free energy. Under…

Machine Learning · Computer Science 2022-07-15 Pietro Mazzaglia , Tim Verbelen , Ozan Çatal , Bart Dhoedt

Navigation in the natural world is a feat of adaptive inference, where biological organisms maintain goal-directed behaviour despite noisy and incomplete sensory streams. Central to this ability is the Free Energy Principle (FEP), which…

Robotics · Computer Science 2026-03-06 Maytus Piriyajitakonkij , Rishabh Dev Yadav , Mingfei Sun , Mengmi Zhang , Wei Pan

In this paper we show how The Free Energy Principle (FEP) can provide an explanation for why real-world networks deviate from scale-free behaviour, and how these characteristic deviations can emerge from constraints on information…

Social and Information Networks · Computer Science 2025-02-19 Peter R Williams , Zhan Chen

To date, formal models of collective intelligence have lacked a plausible mathematical description of the relationship between local-scale interactions between highly autonomous sub-system components (individuals) and global-scale behavior…

Social and Information Networks · Computer Science 2021-07-21 Rafael Kaufmann , Pranav Gupta , Jacob Taylor

Over the past four decades, efforts have been made to develop and evaluate models for Empirical Translation Process Research (TPR), yet a comprehensive framework remains elusive. This article traces the evolution of empirical TPR within the…

Computation and Language · Computer Science 2023-08-04 Michael Carl

Active inference is a state-of-the-art framework in neuroscience that offers a unified theory of brain function. It is also proposed as a framework for planning in AI. Unfortunately, the complex mathematics required to create new models --…

Machine Learning · Computer Science 2021-05-11 Théophile Champion , Marek Grześ , Howard Bowman
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