Thermodynamics of Reinforcement Learning Curricula

Published: 02 Mar 2026, Last Modified: 02 Mar 2026Sci4DL 2026EveryoneRevisionsBibTeXCC BY 4.0
Keywords: reinforcement learning, thermodynamics, curriculum, geometry
Abstract: Connections between statistical mechanics and machine learning have repeatedly proven fruitful, providing insight into optimization, generalization, and representation learning. In this work, we follow this tradition by leveraging results from non-equilibrium thermodynamics to formalize curriculum learning in reinforcement learning (RL). In particular, we propose a geometric framework for RL by interpreting reward parameters as coordinates on a task manifold. We show that, by minimizing the excess thermodynamic work, optimal curricula correspond to geodesics in this task space. As an application of this framework, we provide an algorithm, "MEW" (Minimum Excess Work), to derive a principled schedule for temperature annealing in maximum-entropy RL.
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Submission Number: 14
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