Strictly Batch Imitation Learning by Energy-based Distribution Matching

Consider learning a policy purely on the basis of demonstrated behavior---that is, with no access to reinforcement signals, no knowledge of transition dynamics, and no further interaction with the environment. This *strictly batch imitation learning* problem arises wherever live experimentation is costly, such as in healthcare. One solution is simply to retrofit existing algorithms for apprenticeship learning to work in the offline setting. But such an approach bargains heavily on model estimation or off-policy evaluation, and can be indirect and inefficient. We argue that a good solution should be able to explicitly parameterize a policy (i.e. respecting action conditionals), implicitly account for rollout dynamics (i.e. respecting state marginals), and---crucially---operate in an entirely offline fashion. To meet this challenge, we propose a novel technique by *energy-based distribution matching* (EDM): By identifying parameterizations of the (discriminative) model of a policy with the (generative) energy function for state distributions, EDM provides a simple and effective solution that equivalently minimizes a divergence between the occupancy measures of the demonstrator and the imitator. Through experiments with application to control tasks and healthcare settings, we illustrate consistent performance gains over existing algorithms for strictly batch imitation learning.