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When Does Interaction Help? Representational Tradeoffs in Value-Based Imitation Learning

NeurIPS 2026 · Reinforcement learning › Imitation learning · approach: Behavior cloning theory and models

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Proposes OVI, an interactive on-policy value-based imitation learning algorithm that needs only expert value realizability, proves an offline lower bound showing interaction is necessary, and validates it on Gymnasium tasks with small learner networks.

Problem

Imitation learning with a learner that cannot represent the expert's policy (e.g., in distillation) suffers from compounding errors and plateaus; the paper asks when interaction and value-based learning help and what representational assumptions suffice.

Approach

Interaction relaxes representational demands: an on-policy algorithm (OVI) that layer-wise solves a min-max game between a policy player and a Q player only needs the expert's value function to be realizable (Q^expert-realizability), not the expert's policy; offline value-based IL provably needs complexity scaling with the state space or policy class.

Key results

Surprising findings

Limitations

Experimental setup

Datasets: Gymnasium CartPole-v1 Acrobot-v1 other Gymnasium environments (four total)

Benchmarks: CartPole-v1 Acrobot-v1 Gymnasium environments (four total) synthetic Q-realizable MDP

Metrics: expert return suboptimality J^expert - J^pi trajectory-level TV distance

Baselines: BC DAgger SPOIL

Builds on: On-Q moment matching (DAeQuIL) DAgger SPOIL Forward algorithm performance difference lemma

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