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Analytic Energy-Guided Policy Optimization for Offline Reinforcement Learning

NeurIPS 2025 · Reinforcement learning › Offline RL · approach: Offline RL sample complexity theory · 0 citations (OpenAlex)

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Proposes AEPO, which derives a closed-form-approximated intermediate energy for energy-guided diffusion policies via Taylor expansion and Gaussian moment-generating functions, and evaluates it on D4RL offline RL benchmarks.

Problem

Estimating the intermediate energy (log-expectation over posterior actions) in energy-guided diffusion policies for offline RL is intractable, so guidance is inexact.

Approach

Derives an analytic approximation of the intermediate energy log-expectation by linearizing Q around a constant action and using the Gaussian moment-generating function on the Gaussian posterior, then trains a neural intermediate energy network to regress this target, with guidance rescaling for robustness.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use AEPO instead of QGPOD4RL Gym-MuJoCo · D4RL Gym-MuJoComean score: 86.6 -> 87.4Helped
Use AEPO instead of TCDD4RL Pointmaze (Maze2D) sparse tasks · D4RL Pointmaze (Maze2D)mean sparse score: 135.8 -> 132.3Hurt
Use AEPO instead of DDD4RL Pointmaze (Maze2D) dense tasks · D4RL Pointmaze (Maze2D)mean dense score: 61.5 -> 127.5Helped
Use AEPO instead of QGPOD4RL Antmaze · D4RL Antmazemean score: 78.3 -> 80.6Helped
Use AEPO instead of LDD4RL Adroit · D4RL Adroitmean score: 54.6 -> 55.6Helped
Use Posterior 1 instead of Posterior 2 for posterior approximation (ablation)AEPO · D4RL Gym-MuJoCoholistic performanceHelped
Train the Q function with IQL rather than CQL or in-support softmax Q-learning (ablation)AEPO · D4RL Gym-MuJoCoholistic performanceHelped
Add intermediate guidance (ω = 0.1) rather than use no guidance (ω = 0) (ablation)AEPO · D4RL Gym-MuJoConormalized scoreHelped
Apply guidance rescaling rather than non-rescaling (ablation)AEPO · D4RL Gym-MuJoConormalized scoreHelped
Increase guidance degree ω with rescaling rather than without rescaling (ablation)AEPO · D4RL Gym-MuJoConormalized scoreMixed
Vary β (ablation)AEPO · D4RL Gym-MuJoConormalized scoreNo clear effect
Set expectile weight τ to 0.7 (ablation)AEPO · D4RL Gym-MuJoConormalized scoreHelped

Surprising findings

Limitations

Experimental setup

Datasets: D4RL Gym-MuJoCo D4RL Maze2D D4RL AntMaze D4RL Adroit

Benchmarks: D4RL Gym-MuJoCo D4RL Maze2D D4RL AntMaze D4RL Adroit

Metrics: normalized score mean score total score

Baselines: QGPO D-QL DiffuserLite HD-DA IDQL AdaptDiffuser Consistency-AC HDMI TCD SfBC DD Diffuser

Builds on: Diffusion-QL QGPO Implicit Q-learning DPM-solver Diffuser

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