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Offline Transition Modeling via Contrastive Energy Learning

ICML 2024 · Reinforcement learning › Offline RL · approach: Diffusion models for offline decision making

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Proposes Energy-based Transition Models (ETM), which learn environment dynamics as a scalar energy function trained with InfoNCE and Langevin negatives, and applies them to off-policy evaluation and model-based offline RL (EMPO).

Problem

Forward (Gaussian) transition models have an inductive bias toward smooth regressors, so they struggle to fit discontinuous or high-curvature transition dynamics and generalize poorly out of distribution, hurting model-based offline evaluation and control.

Approach

Model the next-state distribution implicitly through a scalar energy function trained contrastively with InfoNCE (shown to be a robust variant of maximum likelihood), with negatives drawn by Langevin MCMC and a gradient penalty; sampling is done by iterative gradient-based search.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use energy-based transition models instead of forward transition modelsTransition modeling on OOD D4RL hopper and walker2d transitions · D4RL hopper and walker2dmean absolute errorHelped
Use energy-based transition models instead of forward transition modelsOff-policy evaluation · DOPE benchmark, 32 tasksmean absolute errorHelped
Use energy-based transition models instead of forward transition modelsOff-policy evaluation · DOPE benchmark, 32 tasksrank correlationHelped
Use energy-based transition models instead of forward transition modelsOffline policy optimization with SAC · D4RL Gym-Mujoco tasksnormalized score: 80.0 -> 82.0Helped
Use energy-based transition models instead of forward transition modelsOffline policy optimization with SAC · D4RL Gym-Mujoco taskssolved tasks: 5/12 -> 7/12Helped
Use energy-based transition models instead of forward transition modelsIn-distribution transition prediction · D4RL tasksabsolute error: 16/20Hurt
Increase the number of negative samples from 16 to 8 or 24 (ablation)ETM · DOPE evaluation on four tasksabsolute error, rank correlation, and regretNo clear effect
Use ETM instead of FTM for inferenceTransition model inference · Not benchmark-specificinference time: approximately five timesHurt

Surprising findings

Limitations

Experimental setup

Datasets: D4RL hopper D4RL walker2d D4RL halfcheetah D4RL ant D4RL Adroit DOPE benchmark

Benchmarks: DOPE D4RL Gym-Mujoco

Metrics: mean absolute error rank correlation regret@1 normalized average return solved tasks (score >= 95)

Baselines: CQL TD3+BC EDAC MOPO COMBO Trajectory Transformer RAMBO MOBILE FQE DR IS DICE

Builds on: MOPO Soft Actor-Critic InfoNCE DOPE benchmark Implicit behavioral cloning (energy-based implicit models)

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