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Feasibility Consistent Representation Learning for Safe Reinforcement Learning
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Proposes FCSRL, a representation learning framework for safe RL that combines a SimSiam-style transition dynamics loss with a distributional feasibility-score prediction loss, plugged into PPO-Lagrangian and TD3-Lagrangian.
Problem
Cost estimation in safe RL is hard because sparse constraint signals make safety-relevant state representations and cost value estimates noisy and poorly learned, hurting the reward-safety trade-off.
Approach
Learn a state embedding with a dynamics consistency loss (target encoder, SimSiam-style) plus an auxiliary feasibility-score prediction (max discounted cost, a smoother target than cost value) trained with discrete distributional regression, then feed the target embedding to the safe RL policy and critics.
Key results
- On vector-state tasks, FCSRL achieves reward 24.4±1.4 at cost 9.3±5.8 on PointGoal1 and 27.6±2.0 on CarGoal1 (cost limit 10), exceeding CPO, PPO-Lag, FOCOPS and CVPO.
- On image-based tasks, FCSRL outperforms CURL, SPR and value consistent model with TD3-Lag, where CURL nearly fails on CarGoal1.
- Feasibility-score embeddings give lower prediction MSE (0.139 vs 0.217) than the value consistent model's embeddings.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use FCSRL instead of representation-learning baselines | TD3-Lag on Safety-Gymnasium tasks · PointGoal1, PointButton1, PointPush1, PointGoal2, CarGoal1, CarButton1 | reward | Helped |
| Add feasibility consistency loss (ablation) | FCSRL with TD3-Lag · PointGoal2 and PointButton1 | reward: 7.1±2.7 -> 12.7±2.4; 9.0±2.9 -> 10.7±2.3 | Helped |
| Add dynamics consistency loss (ablation) | FCSRL with TD3-Lag · PointGoal2 and PointButton1 | reward: 10.3±2.9 -> 12.7±2.4; 10.5±2.6 -> 10.7±2.3 | Mixed |
| Feed both raw state and representation to policy and value functions (ablation) | FCSRL with TD3-Lag · PointGoal2 and PointButton1 | reward: 5.9±3.3 -> 12.7±2.4; 7.3±4.3 -> 10.7±2.3 | Helped |
| Increase prediction length from 2 to 8 (ablation) | FCSRL with TD3-Lag · PointPush1 | reward: 9.7±2.5 -> 12.6±3.8 | Helped |
| Increase prediction length beyond 4 (ablation) | FCSRL with TD3-Lag · PointPush1 | reward: 11.6±4.3 -> 12.6±3.8 | No clear effect |
Surprising findings
- Value-consistency objective on cost value gave limited benefit in the safe RL setting, while the feasibility target was easier to predict from the learned embedding.
- Feeding raw state together with the learned embedding to the policy was needed; using only the embedding caused a large reward drop.
Limitations
- Feasibility score is used only as representation auxiliary signal, not for state-wise safety in the policy itself (stated as future work).
- Reward gains are small or within standard deviation on several tasks (e.g., Goal1 where margins are small), and the ablation shows overlapping error bars.
- Relies on binary cost and experiments limited to Safety-Gymnasium tasks.
Experimental setup
Datasets: Safety-Gymnasium PointGoal1 PointButton1 PointPush1 PointGoal2 CarGoal1 CarButton1 Goal1 Push1
Benchmarks: Safety-Gymnasium
Metrics: normalized reward normalized cost MSE of cost value and feasibility prediction
Baselines: Raw state input Forward raw model Forward latent model Inverse model Temporal contrastive learning SALE Value consistent model CURL SPR CPO PPO-Lag FOCOPS
Builds on: SALE SPR CURL PPO-Lagrangian TD3-Lagrangian SimSiam
Closest papers by meaning
- Safety Representations for Safer Policy Learning (ICLR 2025 · similarity 0.91)
- Safe Reinforcement Learning with Instantaneous Constraints: The Role of Aggressive Exploration (AAAI 2024 · similarity 0.90)
- Sampling-Based Safe Reinforcement Learning (NeurIPS 2026 · similarity 0.90)
- A Provable Approach for End-to-End Safe Reinforcement Learning (NeurIPS 2025 · similarity 0.89)
- Probabilistic Shielding for Safe Reinforcement Learning (AAAI 2025 · similarity 0.89)
- Latent Safety-Constrained Policy Approach for Safe Offline Reinforcement Learning (ICLR 2025 · similarity 0.89)
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