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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

Developing feature selection algorithms that move beyond a pure correlational to a more causal analysis of observational data is an important problem in the sciences. Several algorithms attempt to do so by discovering the Markov blanket of…

Machine Learning · Statistics 2014-05-06 Eric V. Strobl , Shyam Visweswaran

In this paper, we study the problem of discovering the Markov blanket (MB) of a target variable from multiple interventional datasets. Datasets attained from interventional experiments contain richer causal information than passively…

Artificial Intelligence · Computer Science 2018-01-26 Kui Yu , Lin Liu , Jiuyong Li

This paper develops a Bayesian mechanics for adaptive systems. Firstly, we model the interface between a system and its environment with a Markov blanket. This affords conditions under which states internal to the blanket encode information…

Mathematical Physics · Physics 2021-12-22 Lancelot Da Costa , Karl Friston , Conor Heins , Grigorios A. Pavliotis

Jump Markov linear models consists of a finite number of linear state space models and a discrete variable encoding the jumps (or switches) between the different linear models. Identifying jump Markov linear models makes for a challenging…

Computation · Statistics 2015-02-17 Andreas Svensson , Thomas B. Schön , Fredrik Lindsten

Learning a Markov Decision Process (MDP) from a fixed batch of trajectories is a non-trivial task whose outcome's quality depends on both the amount and the diversity of the sampled regions of the state-action space. Yet, many MDPs are…

Machine Learning · Computer Science 2022-03-08 Giorgio Angelotti , Nicolas Drougard , Caroline P. C. Chanel

In many complex molecular systems, the macroscopic ensemble's properties are controlled by microscopic dynamic events (or fluctuations) that are often difficult to detect via pattern-recognition approaches. Discovering the relationships…

Chemical Physics · Physics 2023-09-01 Martina Crippa , Annalisa Cardellini , Matteo Cioni , Gábor Csányi , Giovanni M. Pavan

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

The maximum entropy principle (MEP) is a method for obtaining the most likely distribution functions of observables from statistical systems, by maximizing entropy under constraints. The MEP has found hundreds of applications in ergodic and…

Classical Physics · Physics 2016-10-03 Rudolf Hanel , Stefan Thurner , Murray Gell-Mann

Detecting multiple unknown objects in noisy data is a key problem in many scientific fields, such as electron microscopy imaging. A common model for the unknown objects is the linear subspace model, which assumes that the objects can be…

Statistics Theory · Mathematics 2024-05-02 Amitay Eldar , Keren Mor Waknin , Samuel Davenport , Tamir Bendory , Armin Schwartzman , Yoel Shkolnisky

This paper presents a novel approach to detect abnormalities in dynamic systems based on multisensory data and feature selection. The proposed method produces multiple inference models by considering several features of the observed data.…

In this work, we present a method for tracking and learning the dynamics of all objects in a large scale robot environment. A mobile robot patrols the environment and visits the different locations one by one. Movable objects are discovered…

Robotics · Computer Science 2018-01-30 Nils Bore , Patric Jensfelt , John Folkesson

The 'free energy principle' (FEP) has been suggested to provide a unified theory of the brain, integrating data and theory relating to action, perception, and learning. The theory and implementation of the FEP combines insights from…

Neurons and Cognition · Quantitative Biology 2017-05-26 Christopher L. Buckley , Chang Sub Kim , Simon McGregor , Anil K. Seth

We develop interacting particle algorithms for learning latent variable models with energy-based priors. To do so, we leverage recent developments in particle-based methods for solving maximum marginal likelihood estimation (MMLE) problems.…

Machine Learning · Statistics 2025-10-15 Joanna Marks , Tim Y. J. Wang , O. Deniz Akyildiz

Free energy perturbation (FEP) is frequently used to evaluate the free energy change of a biological process, e.g. the drug binding free energy or the ligand solvation free energy. Due to the sampling inefficiency, FEP is often employed…

Chemical Physics · Physics 2017-01-31 Ying-Chih Chiang , Frank Otto

Most common mechanistic models are traditionally presented in mathematical forms to explain a given physical phenomenon. Machine learning algorithms, on the other hand, provide a mechanism to map the input data to output without explicitly…

Machine Learning · Computer Science 2020-12-22 Waad Subber , Piyush Pandita , Sayan Ghosh , Genghis Khan , Liping Wang , Roger Ghanem

We introduce a notion of emergence for coarse-grained macroscopic variables associated with highly-multivariate microscopic dynamical processes, in the context of a coupled dynamical environment. Dynamical independence instantiates the…

Adaptation and Self-Organizing Systems · Physics 2023-07-26 Lionel Barnett , Anil K. Seth

This work presents a framework for automatically extracting physical object properties, such as material composition, mass, volume, and stiffness, through robot manipulation and a database of object measurements. The framework involves…

Maximum entropy principle (MEP) offers an effective and unbiased approach to inferring unknown probability distributions when faced with incomplete information, while neural networks provide the flexibility to learn complex distributions…

Machine Learning · Statistics 2024-12-04 Wuyue Yang , Liangrong Peng , Guojie Li , Liu Hong

The efficiency of minimum-energy configuration searching algorithms is closely linked to the energy landscape structure of complex systems. Here we characterize this structure by following the time evolution of two systems, vacancy…