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The Free Energy Principle (FEP) describes (biological) agents as minimising a variational Free Energy (FE) with respect to a generative model of their environment. Active Inference (AIF) is a corollary of the FEP that describes how agents…

Machine Learning · Statistics 2025-01-03 Thijs van de Laar , Magnus Koudahl , Bert de Vries

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

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

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

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

Active inference, a corollary of the free energy principle, is a formal way of describing the behavior of certain kinds of random dynamical systems that have the appearance of sentience. In this chapter, we describe how active inference…

Machine Learning · Statistics 2021-10-11 Noor Sajid , Lancelot Da Costa , Thomas Parr , Karl Friston

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

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

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 address the problem of planning under uncertainty, where an agent must choose actions that not only achieve desired outcomes but also reduce uncertainty. Traditional methods often treat exploration and exploitation as separate…

Active inference (AIF) unifies exploration and exploitation by minimizing the Expected Free Energy (EFE), balancing epistemic value (information gain) and pragmatic value (task performance) through a curiosity coefficient. Yet it has been…

Machine Learning · Computer Science 2026-02-06 Yingke Li , Anjali Parashar , Enlu Zhou , Chuchu Fan

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

Active inference may be defined as Bayesian modeling of a brain with a biologically plausible model of the agent. Its primary idea relies on the free energy principle and the prior preference of the agent. An agent will choose an action…

Machine Learning · Computer Science 2021-12-14 Jin young Shin , Cheolhyeong Kim , Hyung Ju Hwang

The Expected Free Energy (EFE) is a central quantity in the theory of active inference. It is the quantity that all active inference agents are mandated to minimize through action, and its decomposition into extrinsic and intrinsic value…

Artificial Intelligence · Computer Science 2020-09-30 Beren Millidge , Alexander Tschantz , Christopher L Buckley

The active inference framework (AIF) is a promising new computational framework grounded in contemporary neuroscience that can produce human-like behavior through reward-based learning. In this study, we test the ability for the AIF to…

Neurons and Cognition · Quantitative Biology 2022-11-21 Zhizhuo Yang , Gabriel J. Diaz , Brett R. Fajen , Reynold Bailey , Alexander Ororbia

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

Active inference is a mathematical framework for understanding how agents (biological or artificial) interact with their environments, enabling continual adaptation and decision-making. It combines Bayesian inference and free energy…

Artificial Intelligence · Computer Science 2024-10-02 Rithvik Prakki

Active inference is a formal approach to study cognition based on the notion that adaptive agents can be seen as engaging in a process of approximate Bayesian inference, via the minimisation of variational and expected free energies.…

Artificial Intelligence · Computer Science 2025-08-19 Filippo Torresan , Keisuke Suzuki , Ryota Kanai , Manuel Baltieri
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