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Paper · arXiv

A Geometric Perspective on Reward Function Updates in Inverse Reinforcement Learning

Inverse Reinforcement Learning (IRL) is classically solved using Lagrangian optimisation, by jointly optimising a primal-dual problem with gradient descent to obtain the optimal reward function parameters and corresponding optimal policy. While this algorithmic view of IRL has been highly influential, gradient-based reward updates only paint a partial picture, largely ignoring the geometry of the problem in occupancy space. In this paper, we present an occupancy-space view of reward updates in IRL. We leverage the insight that both the optimal solution and its geometry in occupancy space are known, and show that the geometry along the e-geodesic (straight line in occupancy space) toward t...

AuthorsAnish Diwan, Jan Peters, Oleg Arenz
Primary categorycs.LG
Published2 October 2026
Last updated at source2 October 2026
cs.LGcs.AIcs.RO
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