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Behavior-Regularized Diffusion Policy Optimization for Offline Reinforcement Learning

ICML 2025 · Reinforcement learning › Offline RL · approach: Behavior regularization for offline RL · 0 citations (OpenAlex)

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Proposes BDPO, a behavior-regularized actor-critic for diffusion policies that penalizes pathwise KL summed over single-step reverse diffusion transitions, trained with two-time-scale TD learning, and evaluated on 2D synthetic tasks and D4RL.

Problem

Behavior regularization in offline RL is well studied for Gaussian or deterministic policies, but it is unclear how to apply it to expressive diffusion policies because their action log-probabilities are intractable.

Approach

Compute the KL regularization as accumulated discrepancies of single-step reverse diffusion transitions (pathwise KL), which are analytically tractable Gaussians, and optimize the diffusion actor with per-step diffusion value functions in a two-time-scale actor-critic, avoiding back-propagation through the full diffusion chain.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use diffusion actor parameterization instead of a deterministic policy (ablation)BDPO · D4RL locomotion tasksnormalized scoreHelped
Use diffusion actor parameterization instead of a Gaussian policy (ablation)BDPO · D4RL locomotion tasksnormalized scoreHelped
Use BDPO rather than the strongest listed baselineD4RL locomotion tasks · halfcheetah-medium-v2; halfcheetah-medium-replay-v2; halfcheetah-medium-expert-v2; walker2d-medium-expert-v2normalized scoreHelped
Use BDPO rather than the strongest listed baselineD4RL locomotion tasks · hopper-medium-v2; hopper-medium-replay-v2; walker2d-medium-v2; walker2d-medium-replay-v2; hopper-medium-expert-v2normalized scoreHurt
Use BDPO rather than the strongest listed baselineD4RL antmaze tasks · antmaze-medium-play-v0; antmaze-medium-diverse-v0; antmaze-large-play-v0; antmaze-large-diverse-v0normalized scoreHelped
Use BDPO rather than the strongest listed baselineD4RL antmaze tasks · antmaze-umaze-v0; antmaze-umaze-diverse-v0normalized scoreHurt

Surprising findings

Limitations

Experimental setup

Datasets: D4RL halfcheetah/hopper/walker2d -v2 D4RL antmaze -v0 synthetic 2D datasets (8gaussians, 2spirals, moons)

Benchmarks: D4RL locomotion-v2 D4RL antmaze-v0 synthetic 2D datasets

Metrics: normalized score runtime (minutes)

Baselines: CQL IQL Decision Diffuser SfBC IDQL QGPO SRPO DTQL Diffusion-QL EDP DAC

Builds on: Diffusion-QL DAC DPPO soft actor-critic Girsanov theorem

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