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Efficient Off-Policy Learning for High-Dimensional Action Spaces

ICLR 2025 · Reinforcement learning › Policy gradient and actor-critic · approach: Model-based RL with guarantees · 0 citations (OpenAlex)

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Proposes Vlearn, an off-policy deep RL method that learns only a state-value function using a weighted importance sampling Bellman loss combined with trust-region policy updates (TRPL), avoiding Q-functions for high-dimensional action spaces.

Problem

Off-policy deep RL usually learns state-action-value functions, which suffer from the curse of dimensionality in high-dimensional continuous action spaces; existing V-function importance sampling methods (V-trace) are unstable in fully off-policy settings.

Approach

Learn a V-function with a weighted importance sampling Bellman loss (importance weight placed in front of the whole squared error, an upper bound via Jensen's inequality), combined with trust-region policy learning (TRPL), twin critics, target networks, truncated importance weights, and advantage normalization.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace the Vlearn weighted-importance-sampling objective with the V-trace objective (ablation)Vlearn · Ant-v4, Humanoid-v4, DMC dog tasks, and MyoSuite MyoHand tasksperformanceHurt
Remove importance sampling correction (ablation)Vlearn · Ant-v4 and Humanoid-v4learning performanceHurt
Replace the TRPL policy loss with the clipped PPO loss (ablation)Vlearn · Ant-v4 and Humanoid-v4asymptotic performanceHurt
Increase the importance-weight truncation level to ερ=20 (ablation)Vlearn · Ant-v4 and Humanoid-v4learning stabilityHurt
Remove the twin critic networks (ablation)Vlearn · Ant-v4 and Humanoid-v4performanceHurt
Increase replay buffer size from a small to a medium buffer (ablation)Vlearn · Humanoid-v4performanceHelped
Increase replay buffer size among the larger tested sizes (ablation)Vlearn · Humanoid-v4final performanceNo clear effect
Use Vlearn instead of SACVlearn · Humanoid-v4performanceHelped
Use Vlearn instead of SAC or MPOVlearn · DMC dog locomotion tasksperformanceHelped
Use Vlearn instead of other baselinesVlearn · MyoSuite MyoHand tasksaggregated performanceHelped
Use Vlearn instead of SACVlearn · HalfCheetah-v4performanceHurt
Use Vlearn instead of MPOVlearn · Hopper-v4 and Walker2D-v4performanceNo clear effect

Surprising findings

Limitations

Experimental setup

Datasets: Gymnasium Ant-v4 Gymnasium Humanoid-v4 Gymnasium HalfCheetah-v4 Gymnasium Hopper-v4 Gymnasium Walker2d-v4 DMC dog tasks MyoSuite MyoHand tasks

Benchmarks: Gymnasium Ant-v4 Gymnasium Humanoid-v4 Gymnasium HalfCheetah-v4 Gymnasium Hopper-v4 Gymnasium Walker2d-v4 DMC dog tasks MyoSuite MyoHand

Metrics: episode return IQM 95% bootstrapped confidence intervals

Baselines: SAC MPO PPO TRPL (on-policy) V-trace

Builds on: TRPL V-trace Retrace TD3 SAC

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