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A central concept in active inference is that the internal states of a physical system parametrise probability measures over states of the external world. These can be seen as an agent's beliefs, expressed as a Bayesian prior or posterior.…

Artificial Intelligence · Computer Science 2021-12-28 Nathaniel Virgo , Martin Biehl , Simon McGregor

We present a framework for the efficient computation of optimal Bayesian decisions under intractable likelihoods, by learning a surrogate model for the expected utility (or its distribution) as a function of the action and data spaces. We…

Machine Learning · Statistics 2023-11-13 Justin Alsing , Thomas D. P. Edwards , Benjamin Wandelt

We study the problem of causal discovery through targeted interventions. Starting from few observational measurements, we follow a Bayesian active learning approach to perform those experiments which, in expectation with respect to the…

Machine Learning · Statistics 2019-10-10 Julius von Kügelgen , Paul K Rubenstein , Bernhard Schölkopf , Adrian Weller

Bayesian decision theory outlines a rigorous framework for making optimal decisions based on maximizing expected utility over a model posterior. However, practitioners often do not have access to the full posterior and resort to approximate…

Machine Learning · Statistics 2019-10-29 Tomasz Kuśmierczyk , Joseph Sakaya , Arto Klami

Active inference has emerged as an alternative approach to control problems given its intuitive (probabilistic) formalism. However, despite its theoretical utility, computational implementations have largely been restricted to…

Machine Learning · Computer Science 2022-03-01 Aswin Paul , Noor Sajid , Manoj Gopalkrishnan , Adeel Razi

The conventional approach to Bayesian decision-theoretic experiment design involves searching over possible experiments to select a design that maximizes the expected value of a specified utility function. The expectation is over the joint…

Methodology · Statistics 2023-04-18 Tommie A. Catanach , Niladri Das

We formulate the computational processes of perception in the framework of the principle of least action by postulating the theoretical action as a time integral of the free energy in the brain sciences. The free energy principle is…

Neurons and Cognition · Quantitative Biology 2019-02-21 Chang Sub Kim

We develop a novel framework of bounded rationality under cognitive frictions that studies learning over optimal behavior through both deliberative reasoning and accumulated experiences. Using both types of information, agents engage in…

Theoretical Economics · Economics 2024-03-28 Cosmin Ilut , Rosen Valchev

Active inference, a neurally-inspired model for inferring actions based on the free energy principle (FEP), has been proposed as a unifying framework for understanding perception, action, and learning in the brain. Active inference has…

Machine Learning · Computer Science 2026-04-20 Prashant Rangarajan , Rajesh P. N. Rao

Providing artificial agents with the same computational models of biological systems is a way to understand how intelligent behaviours may emerge. We present an active inference body perception and action model working for the first time in…

Robotics · Computer Science 2021-02-08 Guillermo Oliver , Pablo Lanillos , Gordon Cheng

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

We develop a novel data-driven approach to the inverse problem of classical statistical mechanics: given experimental data on the collective motion of a classical many-body system, how does one characterise the free energy landscape of that…

Statistical Mechanics · Physics 2022-03-01 Peter Yatsyshin , Serafim Kalliadasis , Andrew B. Duncan

Problem definition: Accurately modeling consumer behavior in energy operations is challenging due to uncertainty, behavioral heterogeneity, and limited empirical data-particularly in low-frequency, high-impact events. While generative AI…

Artificial Intelligence · Computer Science 2026-03-03 Cong Chen , Omer Karaduman , Xu Kuang

Active Inference is a closed-loop computational theoretical basis for understanding behaviour, based on agents with internal probabilistic generative models that encode their beliefs about how hidden states in their environment cause their…

Human-Computer Interaction · Computer Science 2024-12-20 Roderick Murray-Smith , John H. Williamson , Sebastian Stein

We propose a model of inference and heuristic decision-making in groups that is rooted in the Bayes rule but avoids the complexities of rational inference in partially observed environments with incomplete information, which are…

Multiagent Systems · Computer Science 2016-11-04 M. Amin Rahimian , Ali Jadbabaie

Perfectly rational decision-makers maximize expected utility, but crucially ignore the resource costs incurred when determining optimal actions. Here we employ an axiomatic framework for bounded rational decision-making based on a…

Artificial Intelligence · Computer Science 2011-07-29 Pedro A. Ortega , Daniel A. Braun

The Design of Experiments (DOEs) is a fundamental scientific methodology that provides researchers with systematic principles and techniques to enhance the validity, reliability, and efficiency of experimental outcomes. In this study, we…

Machine Learning · Statistics 2025-07-22 Miao Huang , Hongqiao Wang , Kunyu Wu

It is common in recommendation systems that users both consume and produce information as they make strategic choices under uncertainty. While a social planner would balance "exploration" and "exploitation" using a multi-armed bandit…

Computer Science and Game Theory · Computer Science 2019-02-20 Nicole Immorlica , Jieming Mao , Aleksandrs Slivkins , Zhiwei Steven Wu

Bayesian experimental design involves the optimal allocation of resources in an experiment, with the aim of optimising cost and performance. For implicit models, where the likelihood is intractable but sampling from the model is possible,…

Machine Learning · Statistics 2019-02-26 Steven Kleinegesse , Michael Gutmann

We introduce the concepts of Bayesian lens, characterizing the bidirectional structure of exact Bayesian inference, and statistical game, formalizing the optimization objectives of approximate inference problems. We prove that Bayesian…

Statistics Theory · Mathematics 2022-06-10 Toby St. Clere Smithe
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