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We introduce the Free Energy Manifold (FEM), a score-trained conditional energy model specialized for inference in hybrid Bayesian networks with discrete and continuous variables. FEM represents each conditional factor as an energy…

Machine Learning · Computer Science 2026-05-12 Cheol Young Park , Shou Matsumoto

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

Flexible, goal-directed behavior is a fundamental aspect of human life. Based on the free energy minimization principle, the theory of active inference formalizes the generation of such behavior from a computational neuroscience…

Artificial Intelligence · Computer Science 2022-08-03 Fedor Scholz , Christian Gumbsch , Sebastian Otte , Martin V. Butz

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

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

Achieving fully autonomous exploration and navigation remains a critical challenge in robotics, requiring integrated solutions for localisation, mapping, decision-making and motion planning. Existing approaches either rely on strict…

Robotics · Computer Science 2026-04-15 Daria de Tinguy , Tim Verbelen , Emilio Gamba , Bart Dhoedt

Active inference helps us simulate adaptive behavior and decision-making in biological and artificial agents. Building on our previous work exploring the relationship between active inference, well-being, resilience, and sustainability, we…

Artificial Intelligence · Computer Science 2024-06-13 Mahault Albarracin , Ines Hipolito , Maria Raffa , Paul Kinghorn

Variational inference in probabilistic graphical models aims to approximate fundamental quantities such as marginal distributions and the partition function. Popular approaches are the Bethe approximation, tree-reweighted, and other types…

Machine Learning · Statistics 2025-02-06 Harald Leisenberger , Franz Pernkopf

Micro-gestures are subtle and transient movements triggered by unconscious neural and emotional activities, holding great potential for human-computer interaction and clinical monitoring. However, their low amplitude, short duration, and…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Weijia Feng , Jingyu Yang , Ruojia Zhang , Fengtao Sun , Qian Gao , Chenyang Wang , Tongtong Su , Jia Guo , Xiaobai Li , Minglai Shao

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 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

This work studies how brain-inspired neural ensembles equipped with local Hebbian plasticity can perform active inference (AIF) in order to control dynamical agents. A generative model capturing the environment dynamics is learned by a…

Neural and Evolutionary Computing · Computer Science 2023-06-23 Ali Safa , Tim Verbelen , Lars Keuninckx , Ilja Ocket , André Bourdoux , Francky Catthoor , Georges Gielen , Gert Cauwenberghs

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

High-level theories rooted in the Bayesian Brain Hypothesis often frame cognitive effort as the cost of resolving the conflict between habits and optimal policies. In parallel, evidence accumulator models (EAMs) provide a mechanistic…

Neurons and Cognition · Quantitative Biology 2025-09-15 Alvaro Garrido Perez , Viktor Lemoine , Amrapali Pednekar , Yara Khaluf , Pieter Simoens

Active inference is a unifying theory for perception and action resting upon the idea that the brain maintains an internal model of the world by minimizing free energy. From a behavioral perspective, active inference agents can be seen as…

Machine Learning · Computer Science 2024-01-17 Pietro Mazzaglia , Tim Verbelen , Bart Dhoedt

Handling heterogeneity and unpredictability are two core problems in pervasive computing. The challenge is to seamlessly integrate devices with varying computational resources in a dynamic environment to form a cohesive system that can…

Deep learning has revolutionised artificial intelligence (AI) by enabling automatic feature extraction and function approximation from raw data. However, it faces challenges such as a lack of out-of-distribution generalisation, catastrophic…

Neural and Evolutionary Computing · Computer Science 2025-02-14 Mehran H. Bazargani , Szymon Urbas , Karl Friston

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

Trajectory prediction methods have demonstrated remarkable capabilities in capturing complex motion patterns. However, existing methods rely on global state assumptions, suffer from insufficient belief inference under partial observability,…

Artificial Intelligence · Computer Science 2026-05-26 Yanping Wu , Ji Zhang , Hao Chen , Edmond S. L. Ho , Chongfeng Wei

We propose an embodied system based on the free energy principle (FEP) for sensorimotor visual perception. We evaluated it in a character-recognition task using the MNIST dataset. Although the FEP has successfully described a rule that…

Neural and Evolutionary Computing · Computer Science 2022-02-23 Kanako Esaki , Tadayuki Matsumura , Kiyoto Ito , Hiroyuki Mizuno