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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

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

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

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

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

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

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 (AIF) is emerging as a powerful framework for decision-making under uncertainty, yet its potential in engineering applications remains largely unexplored. In this work, we propose a novel dual-layer AIF architecture that…

Optimization and Control · Mathematics 2025-03-25 Seyyed Danial Nazemi , Mohsen A. Jafari , Andrea Matta

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

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

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

Active Inference (AIF) offers a robust framework for decision-making, yet its computational and memory demands pose challenges for deployment, especially in resource-constrained environments. This work presents a methodology that…

Artificial Intelligence · Computer Science 2025-08-20 Nikola Pižurica , Nikola Milović , Igor Jovančević , Conor Heins , Miguel de Prado

This paper presents a framework designed to tackle a range of planning problems arise in manipulation, which typically involve complex geometric-physical reasoning related to contact and dynamic constraints. We introduce the Contact Factor…

Robotics · Computer Science 2025-03-11 Jeongmin Lee , Sunkyung Park , Minji Lee , Dongjun Lee

We present a categorical formulation of the cognitive frameworks of Predictive Processing and Active Inference, expressed in terms of string diagrams interpreted in a monoidal category with copying and discarding. This includes diagrammatic…

Category Theory · Mathematics 2023-08-03 Sean Tull , Johannes Kleiner , Toby St Clere Smithe

In industrial recommendation systems, pre-ranking models based on deep neural networks (DNNs) commonly adopt a sequential execution framework: feature fetching and model forward computation are triggered only after receiving candidates from…

Machine Learning · Computer Science 2025-11-21 Zhi Kou , Xiang-Rong Sheng , Shuguang Han , Zhishan Zhao , Yueyao Cheng , Han Zhu , Jian Xu , Bo Zheng

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

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

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
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