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Related papers: Whence the Expected Free Energy?

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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

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…

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

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

Active inference is a leading theory of perception, learning and decision making, which can be applied to neuroscience, robotics, psychology, and machine learning. Active inference is based on the expected free energy, which is mostly…

Artificial Intelligence · Computer Science 2024-02-23 Théophile Champion , Howard Bowman , Dimitrije Marković , Marek Grześ

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

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

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

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

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

Active inference is a theory of perception, learning and decision making, which can be applied to neuroscience, robotics, and machine learning. Recently, reasearch has been taking place to scale up this framework using Monte-Carlo tree…

Artificial Intelligence · Computer Science 2023-05-09 Théophile Champion , Marek Grześ , Lisa Bonheme , Howard Bowman

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

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

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 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

We seek to clarify the concept of active inference by disentangling it from the Free Energy Principle. We show how the optimizations that need to be carried out in order to implement active inference in discrete state spaces can be…

Artificial Intelligence · Computer Science 2026-01-21 Patrick Kenny

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) 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

Is there a canonical way to think of agency beyond reward maximisation? In this paper, we show that any type of behaviour complying with physically sound assumptions about how macroscopic biological agents interact with the world…

Artificial Intelligence · Computer Science 2024-01-24 Lancelot Da Costa , Samuel Tenka , Dominic Zhao , Noor Sajid

The concept of free energy has its origins in 19th century thermodynamics, but has recently found its way into the behavioral and neural sciences, where it has been promoted for its wide applicability and has even been suggested as a…

Neurons and Cognition · Quantitative Biology 2020-12-08 Sebastian Gottwald , Daniel A. Braun
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