Towards Data Science By Ananya Bhattacharyya

The Fundamental Choice in Reinforcement Learning: On‑Policy vs. Off‑Policy

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arXiv AI
Sep 4

The Dually Flat Geometry of Planning as Inference

The paper offers a new way to view the occupancy measure in reinforcement learning by embedding the planning criterion into the dynamics via a resetting planning process. The resulting stationary measure, called the visitation measure, forms a dually flat statistical manifold with two affine charts: visitation probabilities and log-policies, which are dual under conditional entropy. This geometric framework allows planning-as-inference to extend beyond linear rewards to nonlinear functionals of visitation, with each iteration solvable by a natural-gradient step and provides a new interpretation of the temporal-difference error as a marginal-utility estimate.

By Nikola Milosevic, Asaki Kataoka, Nicolas Hinrichs, Kenji Doya, Nico Scherf