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Offline Transition Modeling via Contrastive Energy Learning
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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
- On the 32-task DOPE benchmark, ETM attains the lowest mean absolute error and best rank correlation and regret among OPE methods, outperforming FTM and FQE/DR/IS/DICE/VPM.
- EMPO (ETM with SAC and ensemble-std penalty) achieves average normalized score 82.0 over 12 D4RL tasks, vs. 80.0 for MOBILE (previous best).
- EMPO solves 7 of 12 D4RL tasks (score >= 95), while the best prior method solves at most 5.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use energy-based transition models instead of forward transition models | Transition modeling on OOD D4RL hopper and walker2d transitions · D4RL hopper and walker2d | mean absolute error | Helped |
| Use energy-based transition models instead of forward transition models | Off-policy evaluation · DOPE benchmark, 32 tasks | mean absolute error | Helped |
| Use energy-based transition models instead of forward transition models | Off-policy evaluation · DOPE benchmark, 32 tasks | rank correlation | Helped |
| Use energy-based transition models instead of forward transition models | Offline policy optimization with SAC · D4RL Gym-Mujoco tasks | normalized score: 80.0 -> 82.0 | Helped |
| Use energy-based transition models instead of forward transition models | Offline policy optimization with SAC · D4RL Gym-Mujoco tasks | solved tasks: 5/12 -> 7/12 | Helped |
| Use energy-based transition models instead of forward transition models | In-distribution transition prediction · D4RL tasks | absolute error: 16/20 | Hurt |
| Increase the number of negative samples from 16 to 8 or 24 (ablation) | ETM · DOPE evaluation on four tasks | absolute error, rank correlation, and regret | No clear effect |
| Use ETM instead of FTM for inference | Transition model inference · Not benchmark-specific | inference time: approximately five times | Hurt |
Surprising findings
- Forward transition models have smaller in-distribution errors on 16 of 20 MuJoCo tasks, even though ETMs generalize better out of distribution.
Limitations
- Iterative gradient-based sampling at inference makes ETMs about five times slower than forward models.
- EMPO's overall learning time is about 40% higher than MOPO.
- Forward models are more accurate in-distribution on many MuJoCo tasks.
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)
Closest papers by meaning
- Analytic Energy-Guided Policy Optimization for Offline Reinforcement Learning (NeurIPS 2025 · similarity 0.90)
- Reward-Consistent Dynamics Models are Strongly Generalizable for Offline Reinforcement Learning (ICLR 2024 · similarity 0.89)
- Temporal Distance-aware Transition Augmentation for Offline Model-based Reinforcement Learning (ICML 2025 · similarity 0.88)
- ContraDiff: Planning Towards High Return States via Contrastive Learning (ICLR 2025 · similarity 0.88)
- Energy-Weighted Flow Matching for Offline Reinforcement Learning (ICLR 2025 · similarity 0.88)
- Critic-Guided Decision Transformer for Offline Reinforcement Learning (AAAI 2024 · similarity 0.87)
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