Risk-sensitive Inverse Reinforcement Learning via Coherent Risk Models

Anirudha Majumdar, Sumeet Singh, Ajay Mandlekar, Marco Pavone · 2017

The literature on Inverse Reinforcement Learning (IRL) typically assumes that humans take actions in order to minimize the expected value of a cost function, i.e., that humans are risk neutral.Yet, in practice, humans are often far from being risk neutral.To fill this gap, the objective of this paper is to devise a framework for risk-sensitive IRL in order to explicitly account for an expert's risk sensitivity.To this end, we propose a flexible class of models based on coherent risk metrics, which allow us to capture an entire spectrum of risk preferences from risk-neutral to worst-case.We propose efficient algorithms based on Linear Programming for inferring an expert's underlying risk metric and cost function for a rich class of static and dynamic decision-making settings.The resulting approach is demonstrated on a simulated driving game with ten human participants.Our method is able to infer and mimic a wide range of qualitatively different driving styles from highly risk-averse to risk-neutral in a data-efficient manner.Moreover, comparisons of the Risk-Sensitive (RS) IRL approach with a risk-neutral model show that the RS-IRL framework more accurately captures observed participant behavior both qualitatively and quantitatively.

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