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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 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

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, 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

This dissertation reports some first steps towards a compositional account of active inference and the Bayesian brain. Specifically, we use the tools of contemporary applied category theory to supply functorial semantics for approximate…

Neurons and Cognition · Quantitative Biology 2023-12-20 Toby St Clere Smithe

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

The study of abstraction and composition - the focus of category theory - naturally leads to sophisticated diagrams which can encode complex algebraic semantics. Consequently, these diagrams facilitate a clearer visual comprehension of…

Category Theory · Mathematics 2024-06-27 Vincent Abbott , Gioele Zardini

Branching Time Active Inference (Champion et al., 2021b,a) is a framework proposing to look at planning as a form of Bayesian model expansion. Its root can be found in Active Inference (Friston et al., 2016; Da Costa et al., 2020; Champion…

Machine Learning · Computer Science 2021-12-15 Théophile Champion , Marek Grześ , Howard Bowman

Active inference is a normative framework for explaining behaviour under the free energy principle -- a theory of self-organisation originating in neuroscience. It specifies neuronal dynamics for state-estimation in terms of a descent on…

Neurons and Cognition · Quantitative Biology 2021-10-26 Lancelot Da Costa , Thomas Parr , Biswa Sengupta , Karl Friston

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

Active inference introduces a theory describing action-perception loops via the minimisation of variational (and expected) free energy or, under simplifying assumptions, (weighted) prediction error. Recently, active inference has been…

Neurons and Cognition · Quantitative Biology 2022-03-10 Manuel Baltieri , Christopher L. Buckley , Jelle Bruineberg

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

Optimal control of complex environments with robotic systems faces two complementary and intertwined challenges: efficient organization of sensory state information and far-sighted action planning. Because the reinforcement learning…

Machine Learning · Computer Science 2026-01-30 Abdullah Akgül , Gulcin Baykal , Manuel Haußmann , Mustafa Mert Çelikok , Melih Kandemir

In this PhD thesis, we explore and apply methods inspired by the free energy principle to two important areas in machine learning and neuroscience. The free energy principle is a general mathematical theory of the necessary…

Artificial Intelligence · Computer Science 2021-08-31 Beren Millidge

Active inference is a mathematical framework which originated in computational neuroscience as a theory of how the brain implements action, perception and learning. Recently, it has been shown to be a promising approach to the problems of…

We introduce structured active inference, a large generalization and formalization of active inference using the tools of categorical systems theory. We cast generative models formally as systems "on an interface", with the latter being a…

Artificial Intelligence · Computer Science 2024-06-13 Toby St Clere Smithe

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

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

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

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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