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The aim of this paper is to leverage the free-energy principle and its corollary process theory, active inference, to develop a generic, generalizable model of the representational capacities of living creatures; that is, a theory of…

Neurons and Cognition · Quantitative Biology 2020-12-02 Maxwell J. D. Ramstead , Casper Hesp , Alec Tschantz , Ryan Smith , Axel Constant , Karl Friston

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

This paper considers neural representation through the lens of active inference, a normative framework for understanding brain function. It delves into how living organisms employ generative models to minimize the discrepancy between…

Neurons and Cognition · Quantitative Biology 2023-10-24 Giovanni Pezzulo , Leo D'Amato , Francesco Mannella , Matteo Priorelli , Toon Van de Maele , Ivilin Peev Stoianov , Karl Friston

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

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

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 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

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

To make accurate inferences in an interactive setting, an agent must not confuse passive observation of events with having intervened to cause them. The $do$ operator formalises interventions so that we may reason about their effect. Yet…

Artificial Intelligence · Computer Science 2024-04-12 Michael Timothy Bennett

We explore a functionalist approach to emotion by employing an ansatz -- an initial set of assumptions -- that a hypothetical concept generation model incorporates unproven but biologically plausible traits. From these traits, we…

Neurons and Cognition · Quantitative Biology 2026-03-20 Louis Wang

An approach to implementing variational Bayesian inference in biological systems is considered, under which the thermodynamic free energy of a system directly encodes its variational free energy. In the case of the brain, this assumption…

Neurons and Cognition · Quantitative Biology 2020-08-07 Alex B. Kiefer

We discuss an approach to mathematically modelling systems made of objects that are coupled together, using generative models of the dependence relationships between states (or trajectories) of the things comprising such systems. This broad…

Statistical Mechanics · Physics 2026-01-28 Karl J Friston , Maxwell J D Ramstead , Dalton A R Sakthivadivel

The self-simulational theory of temporal extension describes an information-theoretically formalized mechanism by which the width of subjective temporality emerges from the architecture of self-modelling. In this paper, the perspective of…

Neurons and Cognition · Quantitative Biology 2026-01-01 Jan Erik Bellingrath

Active soft bodies can affect their shape through an internal actuation mechanism that induces a deformation. Similar to recent work, this paper utilizes a differentiable, quasi-static, and physics-based simulation layer to optimize for…

Computer Vision and Pattern Recognition · Computer Science 2024-01-29 Lingchen Yang , Byungsoo Kim , Gaspard Zoss , Baran Gözcü , Markus Gross , Barbara Solenthaler

Self-energy-functional theory is a formal framework which allows to derive non-perturbative and thermodynamically consistent approximations for lattice models of strongly correlated electrons from a general dynamical variational principle.…

Strongly Correlated Electrons · Physics 2011-12-08 Michael Potthoff

We describe recent progress in the statistical mechanical description of many-body systems via machine learning combined with concepts from density functional theory and many-body simulations. We argue that the neural functional theory by…

Soft Condensed Matter · Physics 2024-04-04 Florian Sammüller , Sophie Hermann , Matthias Schmidt

Machine learning models increasingly function as representational systems, yet the philosoph- ical assumptions underlying their internal structures remain largely unexamined. This paper develops a structuralist decision framework for…

Artificial Intelligence · Computer Science 2025-11-25 Yildiz Culcu

This paper argues that the traditional opposition between determinism and indeterminism in physics is representational rather than ontological. Deterministic-stochastic dualities are available in principle, and arise in a non-contrived way…

History and Philosophy of Physics · Physics 2026-01-13 David Nolland

Recent advances in theoretical biology suggest that basal cognition and sentient behaviour are emergent properties of in vitro cell cultures and neuronal networks, respectively. Such neuronal networks spontaneously learn structured…

To make progress in science, we often build abstract representations of physical systems that meaningfully encode information about the systems. The representations learnt by most current machine learning techniques reflect statistical…

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