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From Ticks to Flows: Dynamics of Neural Reinforcement Learning in Continuous Environments

arXiv cs.LG · 2026-06-04 Cached

This paper presents a theoretical framework for deep reinforcement learning in continuous environments, modeling it as a continuous-time stochastic process using stochastic control theory. The authors characterize an actor-critic algorithm's dynamics in the infinite width limit of two-layer networks, deriving an equation for infinitesimal changes in state distribution under a vanishingly small learning rate.

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