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Physics model reveals fundamental trade-off between prediction and energy efficiency in intelligent systems

Physics model reveals fundamental trade-off between prediction and energy efficiency in intelligent systems

phys.org 09.10.2026 15:30 11 views
Artificial intelligence is increasingly becoming part of our everyday lives, from digital assistants to robots that respond to their surroundings. Each of these capabilities is based on physical computational processes t

This article has been reviewed according to Science X's editorial process and policies. Editors have highlighted the following attributes while ensuring the content's credibility: Artificial intelligence is increasingly becoming part of our everyday lives, from digital assistants to robots that respond to their surroundings. Each of these capabilities is based on physical computational processes that consume energy.

An international research team led by Hans Briegel from the Department of Theoretical Physics at the University of Innsbruck, Austria, has investigated the physical limits on the efficiency with which intelligent systems process information. Their findings are published in Physical Review X. An agent is a system that gathers information from its environment and responds to that feedback, much like a robot moving through a room while constantly making new observations.

"Through his actions, the agent changes the world he himself is trying to predict. We wanted to understand what that changes about the physics of information processing," explains Lukas Fiderer, the study's lead author. In 1961, physicist Rolf Landauer identified a fundamental physical cost of erasing information.

However, the relationship also works in reverse: Under suitable conditions, an agent can use information about a physical system to extract energy from it. The new study investigates the greatest average amount of useful energy an ideal agent can extract per interaction through repeated exchanges with its environment. It thus provides a precise thermodynamic benchmark for comparing different ways of organizing the agent's memory and actions.

Previous research showed that an agent that passively processes information can only achieve thermodynamically optimal performance when it consistently focuses its memory on prediction, remembering information from past interactions that helps it anticipate future observations. The new study develops a model for agents whose actions influence their observations, which more closely reflects real-world applications. The authors mathematically prove that, in some environments, agents who retain all the information necessary for optimal prediction cannot, in fact, achieve the best possible energy efficiency.

To achieve this, they must forget parts of their own action history—including information that would actually have improved their predictions. A simple example illustrates what forgetting means here: A robot that opens a door could remember precisely how hard it pushed to predict how the door will move. If it forgets how hard it pushed, it loses information that would improve its prediction of the door's movement.

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