arXiv AI

Expected free energy as an information constraint on the Bethe Lagrangian

The paper introduces a Bethe Lagrangian formulation of expected free energy (EFE) that preserves a Kullback–Leibler structure, enabling message‑passing inference. By imposing an information constraint—requiring the mutual information between future observations, states, and parameters given actions to be at least the entropy of the goal prior—the authors recover the standard EFE solution at a specific Karush‑Kuhn‑Tucker multiplier. They analyze how varying this multiplier transitions the agent’s epistemic drive through inactive, interior, and saturated regimes, and benchmark the constrained Bethe agent against EFE and Q‑MDP on three tasks.

arXiv AI
Jun 4

What Type of Inference is Active Inference?

arXiv:2606. 04935v1 Announce Type: new Abstract: Active inference casts decision-making as inference, with the Expected Free Energy (EFE) unifying goal-directed and information-seeking behavior.

By Wouter W. L. Nuijten, Mykola Lukashchuk, Thijs van de Laar, Bert de Vries
arXiv AI
Aug 18

Information Geometry of Message Passing

arXiv:2608. 15922v1 Announce Type: cross Abstract: We show that the natural-gradient stationary condition of variational inference has an edge-local form on a Forney-style factor graph.

By Mykola Lukashchuk, Kyrylo Yemets, Alex Ledbetter, \.{I}smail \c{S}en\"oz