Influence of the Geometry of the world model on Curiosity Based Exploration
arXiv Preprint Archive April 1, 2023 Grégoire Sergeant-Perthuis, Nils Ruet, David Rudrauf et al.
The geometry structuring an agent's internal world model shapes its spatial awareness and action planning. Using active inference, the authors show that a projective group structure transforms epistemic value nonlinearly, generating approach behaviors toward an object of interest, whereas the Euclidean group has no effect on epistemic value, leaving the agent idle. Formal simulations of a simple search task demonstrate these distinct behaviors. The projective group structure is linked to the Projective Consciousness Model, which is known to capture key features of consciousness. The work argues that geometry plays a key role in information integration and action planning by structuring a priori an agent's internal representation.