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Paper · arXiv

Anticipatory Reinforcement Learning: From Generative Path-Laws to Distributional Value Functions

This paper introduces Anticipatory Reinforcement Learning (ARL), a novel framework designed to bridge the gap between non-Markovian decision processes and classical reinforcement learning architectures, specifically under the constraint of a single observed trajectory. In environments characterised by jump-diffusions and structural breaks, traditional state-based methods often fail to capture the essential path-dependent geometry required for accurate foresight. We resolve this by lifting the state space into a signature-augmented manifold, where the history of the process is embedded as a dynamical coordinate. By utilising a self-consistent field approach, the agent maintains an anticipa...

AuthorsDaniel Bloch
Primary categorycs.LG
Published6 April 2026
Last updated at source6 April 2026
cs.LGq-fin.MFq-fin.PRq-fin.ST
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