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Deep Implicit Imitation Reinforcement Learning in Heterogeneous Action Settings
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Extends deep implicit imitation Q-networks (DIIQN) to heterogeneous action sets between mentor and observer, using a deep k-n step repair bridging mechanism to find alternative paths into mentor trajectories.
Problem
Implicit imitation RL assumes mentor and trainee share the same action space; in real settings physical differences give the mentor distinct actions, so state-only imitation breaks down.
Approach
HA-DIIQN flags mentor transitions as infeasible using a KL-based running error, searches the observer's replay buffer for short bridges (deep k-n step repair) back into the mentor trajectory, and replaces the mentor loss target with the bridge's first action and next state, with no environment simulation or brute-force search.
Key results
- In the 2D maze, HA-DIIQN converged at about episode 1140 versus about 3760 for DIIQN and about 3900 for DQN (averaged over 30 runs).
- In Point Maze, HA-DIIQN converged at about episode 110, compared with about 250 for DIIQN and 260 for DQN.
- DIIQN gave only marginal speed-up over DQN in the maze because mentor actions were largely irrelevant to the observer's action set.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use HA-DIIQN instead of DQN with a heterogeneous mentor dataset | 2D Maze 30×30 trainee · 2D Maze 30×30 | episodes to convergence: episode 3900; episode 1140 | Helped |
| Use HA-DIIQN instead of DIIQN with a heterogeneous mentor dataset | 2D Maze 30×30 trainee · 2D Maze 30×30 | episodes to convergence: approximately episode 3760; episode 1140 | Helped |
| Use HA-DIIQN instead of DQN with a heterogeneous mentor dataset | Point Maze trainee · Point Maze | episodes to convergence: 260 episodes; episode 110 | Helped |
| Use HA-DIIQN instead of DIIQN with a heterogeneous mentor dataset | Point Maze trainee · Point Maze | episodes to convergence: 250 episode mark; episode 110 | Helped |
| Use DIIQN instead of DQN with heterogeneous mentorship | 2D Maze 30×30 trainee · 2D Maze 30×30 | episodes to convergence: episode 3900; approximately episode 3760 | Helped |
| Use DIIQN instead of DQN with heterogeneous mentorship | Point Maze trainee · Point Maze | episodes to convergence: 260 episodes; 250 episode mark | No clear effect |
Surprising findings
- Standard DIIQN gives little or no benefit over DQN when the mentor's action set differs, and in Point Maze it converges at roughly the same time as DQN.
Limitations
- Bridge search relies on replay buffer contents, so overwritten transitions can limit bridge discovery and the method depends on observer exploration.
- Requires empirically set thresholds (e_infeas, e_th) and search depths k and n, which are domain-specific.
- Evaluated only on a 2D maze and a single Point Maze setting, with a mentor restricted to a single demonstration in the maze.
Experimental setup
Datasets: OpenAI Gym 2D Maze (30x30) D4RL Point Maze
Benchmarks: 2D Maze 30x30 (OpenAI Gym) D4RL Point Maze
Metrics: reward per episode episodes to convergence
Baselines: DQN DIIQN
Builds on: DIIQN DQN implicit imitation RL (Price and Boutilier)
Closest papers by meaning
- Dual RL: Unification and New Methods for Reinforcement and Imitation Learning (ICLR 2024 · similarity 0.87)
- Reward-free World Models for Online Imitation Learning (ICML 2025 · similarity 0.87)
- Coarse-to-fine Q-Network with Action Sequence for Data-Efficient Reinforcement Learning (NeurIPS 2025 · similarity 0.86)
- RLIF: Interactive Imitation Learning as Reinforcement Learning (ICLR 2024 · similarity 0.86)
- Interactive and Hybrid Imitation Learning: Provably Beating Behavior Cloning (NeurIPS 2025 · similarity 0.86)
- Hybrid Inverse Reinforcement Learning (ICML 2024 · similarity 0.86)
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