Active Inference · Paper · 2024

Shared Protentions in Multi-Agent Active Inference

Mahault Albarracin, Riddhi J. Pitliya, Toby St. Clere Smithe, Daniel Ari Friedman, Karl Friston, Maxwell J. D. Ramstead

Entropy

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Overview

We develop the concept of shared protentions—shared anticipatory states—in multi-agent Active Inference. Protentions are future-directed expectations that shape perception and action; here we formalize how agents can develop shared protentions through coupled generative models, enabling coordinated anticipatory behavior in multi-agent systems.

shared protentionsmulti-agentActive Inferenceanticipationcoupled generative modelscoordinationpredictive processing

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Methods and contributions

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Findings and contributions

  • Replacing the trivial interface with a hom over all agents' blankets yields agents that predict their own and companions' actions plus the environment's response, a starting point for formal theory of mind.
  • The authors argue that if agents' models can be glued into a sheaf of world models, the agents inhabit a shared universe and may be said to share protentions; failure to glue indicates disagreement.
  • The paper proposes shared protentions as an emergent, possibly necessary, property of collective self-organization.
  • The authors state the proposal is broad and does not yet provide a specific testable model, leaving that to future work.

Methods

  • Husserlian time-consciousness as conceptual basis for shared goals — Uses Husserl's retention, primal impression, and protention, extended to intersubjectivity, to cast shared goals as shared protentions.
  • Polynomial-functor formalization of agent boundaries and generative models — Represents agents' Markov blankets as polynomial functors with stochastic feedback, using tensors and hom polynomials to model multi-agent prediction.
  • Sheaf- and topos-theoretic gluing of agents' world models — Proposes gluing agents' spatial generative models into a sheaf of world models and their toposes into a consensus topos representing shared understanding.

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Citation

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Albarracin, Mahault; Pitliya, Riddhi J.; St. Clere Smithe, Toby; Friedman, Daniel Ari; Friston, Karl; Ramstead, Maxwell J. D.. 2024. Shared Protentions in Multi-Agent Active Inference. Entropy. DOI: 10.3390/e26040303. URL: https://doi.org/10.3390/e26040303.
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Catalog details and resources

Catalog row40
Citation keyFriedman2024SharedProtentionsMultiAgent040
Platform availability
  • ⬜ Zenodo
  • ⬜ GitHub
  • ⬜ arXiv
  • ⬜ OSF
  • ⬜ HuggingFace
  • ⬜ Software Heritage
  • ⬜ PyPI
  • ✅ Full documentation

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