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Decision-Focused Learning in MDPs: An Occupancy Measure Approach

In this work, we consider decision-focused learning (DFL) for a Markov decision process (MDP), where existing methods differentiate through the KKT conditions of the Bellman equation and require solving a linear system over all state-action pairs, limiting its scalability. We address this by reformulating the MDP as an occupancy measure-based linear program (LP), whose feasible region is induced by predicted dynamics, and we derive a closed-form gradient by identifying the active constraints in the feasible polyhedron via the pivoting algorithm. This occupancy measure-based LP layer raises two challenges: (1) LP's solution gradient is discontinuous when active constraints change, and (2) ...

AuthorsZihao Zhao, Ashwath K. Karunakaram, Ali Eshragh et al.
Primary categorycs.LG
Published6 October 2026
Last updated at source6 October 2026
cs.LG
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