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Paper · arXiv

The SIGReg Objective as Variational Free Energy: A Theoretical Active-Inference Account of JEPA World Models

Joint-Embedding Predictive Architectures (JEPAs) are the dominant design for latent world models, yet they are usually justified by empirical performance rather than a normative principle. We show that the choice of anti-collapse regulariser determines whether a JEPA's training objective, a prediction loss plus a weighted embedding regulariser, is a valid Active Inference (AIF) variational free energy. We organise four non-contrastive regularisers (VICReg, LogDet, PairDist, and SIGReg) into an entropy-estimator hierarchy indexed by a prior-miscalibration gap, and show that the gap's sign, whether the estimator bounds the latent entropy from above or below, decides whether the AIF surprise...

AuthorsFabio Arnez, Alexandra Gomez-Villa
Primary categorycs.LG
Published15 July 2026
Last updated at source15 July 2026
cs.LGcs.AI
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