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Is Behavior Cloning All You Need? Understanding Horizon in Imitation Learning

NeurIPS 2024 · Reinforcement learning › Imitation learning · approach: Behavior cloning theory and models · 10 citations (OpenAlex)

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Shows that behavior cloning with log loss (LogLossBC) achieves horizon-independent or linear-horizon sample complexity in offline imitation learning under normalized rewards and parameter sharing, closing much of the offline-online gap.

Problem

Whether offline imitation learning via behavior cloning necessarily incurs quadratic horizon dependence, and whether online imitation learning is fundamentally more sample-efficient than offline IL for general (including neural) policy classes.

Approach

Analyzes behavior cloning with the log loss (maximum likelihood over trajectory distributions) and bounds rollout regret by squared Hellinger distance at the trajectory level, yielding horizon-independent bounds for sparse rewards and linear-in-H bounds for dense rewards under parameter sharing; for stochastic experts, a variance-dependent bound with a recoverability-based refinement.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase the horizonLogLossBC on Walker2d-v4 · Walker2d-v4regretNo clear effect
Increase the horizonLogLossBC on BeamriderNoFrameskip-v4 · BeamriderNoFrameskip-v4regretNo clear effect
Increase the horizonLogLossBC · DyckregretHurt
Increase the horizonLogLossBC · CarregretMixed
Replace indicator loss with logarithmic lossOffline behavior cloning for deterministic experts · Offline imitation learningregret bound: O(H) factorHelped

Surprising findings

Limitations

Experimental setup

Datasets: Walker2d-v4 expert rollouts BeamRiderNoFrameskip-v4 expert rollouts Car navigation synthetic rollouts Dyck_3 synthetic sequences

Benchmarks: Walker2d-v4 BeamRiderNoFrameskip-v4 Car (custom) Dyck_3

Metrics: expected regret vs expert rollout reward

Baselines: indicator-loss behavior cloning DAgger Forward Smile Aggrevate

Builds on: DAgger Aggrevate Hellinger distance change-of-measure Freedman-type concentration

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