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In this paper we present a concise mathematical description of active inference in discrete time. The main part of the paper serves as a basic introduction to the topic, including a detailed example of the action selection mechanism. The…

Machine Learning · Computer Science 2025-05-20 Jesse van Oostrum , Carlotta Langer , Nihat Ay

Inferring intent from observed behavior has been studied extensively within the frameworks of Bayesian inverse planning and inverse reinforcement learning. These methods infer a goal or reward function that best explains the actions of the…

Machine Learning · Computer Science 2019-01-08 Siddharth Reddy , Anca D. Dragan , Sergey Levine

Two active hypothesis testing problems are formulated. In these problems, the agent can perform a fixed number of experiments and then decide on one of the hypotheses. The agent is also allowed to declare its experiments inconclusive if…

Systems and Control · Electrical Eng. & Systems 2019-11-19 Dhruva Kartik , Ashutosh Nayyar , Urbashi Mitra

We develop a comprehensive description of the active inference framework, as proposed by Friston (2010), under a machine-learning compliant perspective. Stemming from a biological inspiration and the auto-encoding principles, the sketch of…

Neural and Evolutionary Computing · Computer Science 2018-01-09 Emmanuel Daucé

Phenomenology is the rigorous descriptive study of conscious experience. Recent attempts to formalize Husserlian phenomenology provide us with a mathematical model of perception as a function of prior knowledge and expectation. In this…

Neurons and Cognition · Quantitative Biology 2022-10-31 Mahault Albarracin , Riddhi J. Pitliya , Maxwell J. D. Ramstead , Jeffrey Yoshimi

In this paper we present a computational modeling account of an active self in artificial agents. In particular we focus on how an agent can be equipped with a sense of control and how it arises in autonomous situated action and, in turn,…

Artificial Intelligence · Computer Science 2021-12-13 Sebastian Kahl , Sebastian Wiese , Nele Russwinkel , Stefan Kopp

Living organisms exhibit remarkable adaptations across all scales, from molecules to ecosystems. We believe that many of these adaptations correspond to optimal solutions driven by evolution, training, and underlying physical and chemical…

Quantitative Methods · Quantitative Biology 2025-10-17 Julio R. Banga , Sebastian Sager

A conceptual and computational framework is proposed for modelling of human sensorimotor control, and is exemplified for the sensorimotor task of steering a car. The framework emphasises control intermittency, and extends on existing models…

Neurons and Cognition · Quantitative Biology 2018-10-31 Gustav Markkula , Erwin Boer , Richard Romano , Natasha Merat

The concept of free energy has its origins in 19th century thermodynamics, but has recently found its way into the behavioral and neural sciences, where it has been promoted for its wide applicability and has even been suggested as a…

Neurons and Cognition · Quantitative Biology 2020-12-08 Sebastian Gottwald , Daniel A. Braun

The minimization of energy-like cost functionals is addressed in the context of optimal control problems. For a general class of dynamical systems, with possibly unstable and nonlinear free dynamics, it is shown that a sequence of solutions…

Optimization and Control · Mathematics 2022-12-06 Sérgio S. Rodrigues

In the last three decades, several measures of complexity have been proposed. Up to this point, most of such measures have only been developed for finite spaces. In these scenarios the baseline distribution is uniform. This makes sense…

Information Theory · Computer Science 2021-11-15 Daniel Andrés Díaz-Pachón , Robert J. Marks

Active recognition enables robots to intelligently explore novel observations, thereby acquiring more information while circumventing undesired viewing conditions. Recent approaches favor learning policies from simulated or collected data,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-27 Lei Fan , Mingfu Liang , Yunxuan Li , Gang Hua , Ying Wu

We study the infinite-horizon restless bandit problem with the average reward criterion, in both discrete-time and continuous-time settings. A fundamental goal is to efficiently compute policies that achieve a diminishing optimality gap as…

Machine Learning · Computer Science 2024-01-17 Yige Hong , Qiaomin Xie , Yudong Chen , Weina Wang

We derive the asymptotic theory of Bai (2009)'s interactive fixed effects estimator for unbalanced panels in which the source of attrition is conditionally random. For inference, we propose a method of alternating projections algorithm…

Econometrics · Economics 2026-05-19 Daniel Czarnowske , Amrei Stammann

Inverse optimal control can be used to characterize behavior in sequential decision-making tasks. Most existing work, however, is limited to fully observable or linear systems, or requires the action signals to be known. Here, we introduce…

Machine Learning · Computer Science 2023-10-31 Dominik Straub , Matthias Schultheis , Heinz Koeppl , Constantin A. Rothkopf

Optimal control under uncertainty is a prevailing challenge for many reasons. One of the critical difficulties lies in producing tractable solutions for the underlying stochastic optimization problem. We show how advanced approximate…

Machine Learning · Computer Science 2024-10-28 Joe Watson , Hany Abdulsamad , Rolf Findeisen , Jan Peters

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…

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

This paper considers the problem of sensorimotor delays in the optimal control of (smooth) eye movements under uncertainty. Specifically, we consider delays in the visuo-oculomotor loop and their implications for active inference. Active…

Neurons and Cognition · Quantitative Biology 2016-10-19 Laurent Perrinet , Rick Adams , Karl Friston

Noise poses a challenge for learning dynamical-system models because already small variations can distort the dynamics described by trajectory data. This work builds on operator inference from scientific machine learning to infer…

Machine Learning · Computer Science 2021-07-27 Wayne Isaac Tan Uy , Yuepeng Wang , Yuxiao Wen , Benjamin Peherstorfer
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