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This paper proposes using information decomposition as a rigorous mathematical framework to define and verify "emergence" in AI systems, moving beyond informal claims of synergy. By distinguishing between unique, redundant, and synergistic information types, it offers falsifiable criteria for when multi-agent or human-AI interactions truly exceed the sum of their parts. The work bridges information theory with machine learning to provide a standardized lens for analyzing capabilities across attention heads, autonomous agents, and collaborative teams.
Sources coveringarXiv, Quantum Zeitgeist

Claims of emergence in AI should be grounded in information decomposition

arXiv2 min read

arXiv:2610.28479v1 Announce Type: cross Abstract: When a language model develops capabilities not traceable to its individual components, when a multi-agent AI system outperforms each agent on its own, or when a human-AI pair succeeds where either fails in isolation, AI researchers describe it as a case of ``synergy'' or ``emergence''. However, these are usually informal assessments not supported by a theoretical framework, making these claims impossible to compare or even meaningfully dispute. Here we argue that \emph{information decomposition can serve as a unifying formal framework to operationalize assessments about synergy in AI systems}. Information decomposition provides a way to distinguish qualitatively different \emph{types} of information, including unique information available from individual components, redundant information shared across multiple components, and synergistic information accessible only from parts taken together. This gives claims of emergence a precise, falsifiable criterion: a system's behavior is emergent only if it carries synergistic information about task-relevant outcomes. We apply this lens to attention heads, autonomous agents, and human-AI teams, showing how it organizes existing knowledge across scales and substrates, while also generating cross-level conjectures that siloed fields would miss.

Abstract:When a language model develops capabilities not traceable to its individual components, when a multi-agent AI system outperforms each agent on its own, or when a human-AI pair succeeds where either fails in isolation, AI researchers describe it as a case of ``synergy'' or ``emergence''. However, these are usually informal assessments not supported by a theoretical framework, making these claims impossible to compare or even meaningfully dispute. Here we argue that \emph{information decomposition can serve as a unifying formal framework to operationalize assessments about synergy in AI systems}. Information decomposition provides a way to distinguish qualitatively different \emph{types} of information, including unique information available from individual components, redundant information shared across multiple components, and synergistic information accessible only from parts taken together. This gives claims of emergence a precise, falsifiable criterion: a system's behavior is emergent only if it carries synergistic information about task-relevant outcomes. We apply this lens to attention heads, autonomous agents, and human-AI teams, showing how it organizes existing knowledge across scales and substrates, while also generating cross-level conjectures that siloed fields would miss.

Artificial Intelligence (cs.AI); Human-Computer Interaction (cs.HC); Information Theory (cs.IT); Machine Learning (cs.LG); Multiagent Systems (cs.MA)

arXiv:2610.28479 [cs.AI]

(or arXiv:2610.28479v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2610.28479 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 283 words

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