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Reward Machines for Deep RL in Noisy and Uncertain Environments
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Frames RL with Reward Machines under noisy/uncertain proposition evaluation as a POMDP and proposes Naive, IBU, and TDM inference modules that use abstraction models, showing TDM matches an oracle while naive aggregation fails.
Problem
Reward Machine-based RL assumes exact labelling functions for propositions, but real-world perception is partial and noisy, so the reward-relevant vocabulary is uncertain.
Approach
Model the noisy RM environment as a POMDP over state space S x U, and decouple RM-state inference (from noisy abstraction model outputs) from decision-making; a temporal dependency modelling (TDM) abstraction model predicts a distribution over RM states directly, avoiding the correlated-error amplification that Naive and IBU suffer from.
Key results
- TDM achieves sample efficiency and final performance similar to the Oracle agent across domains without access to the ground-truth labelling function, while Recurrent PPO fails.
- TDM yields higher log-likelihood of the true RM state than Naive and IBU in all domains.
- GPT-4o as a zero-shot abstraction model is nearly as effective as a custom supervised model for Naive and IBU in Traffic Light.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use TDM inference instead of a recurrent memory-only policy | Reward Machine deep RL · Traffic Light, Kitchen, Colour Matching | total return | Helped |
| use TDM with a noisy abstraction model instead of an Oracle with the ground-truth labelling function | Reward Machine deep RL · Traffic Light, Kitchen, Colour Matching | sample efficiency and final performance | No clear effect |
| use TDM inference instead of Naive or IBU inference | RM state belief inference · Gold Mining, Traffic Light, Kitchen, Colour Matching | log-likelihood | Helped |
| use Naive inference with a noisy abstraction model | Reward Machine RL · Traffic Light | task safety | Hurt |
| use IBU inference with a noisy abstraction model | Reward Machine RL · Kitchen | task completion | Hurt |
| use IBU inference with a noisy abstraction model | Reward Machine RL · Traffic Light | task safety | Helped |
| use Naive inference with a noisy abstraction model | Reward Machine RL · Kitchen | task completion | Helped |
| use GPT-4o as a zero-shot abstraction model instead of a randomly initialized neural network | Naive and IBU inference · Traffic Light | RM state prediction accuracy | Helped |
| use GPT-4o as a zero-shot abstraction model instead of a supervised model trained from ground-truth data | Naive and IBU inference · Traffic Light | RM state prediction accuracy | No clear effect |
| account for temporal dependencies in abstraction-model predictions | RM state belief inference · Gold Mining, Kitchen | RM state belief accuracy | Helped |
Surprising findings
- IBU's independence assumption causes its belief to converge to near-certainty that chores are done in Kitchen, so the agent never enters the kitchen.
- Naive can run red lights in Traffic Light by driving in reverse because it cannot represent uncertainty.
Limitations
- TDM relies on a task-specific abstraction model that must be trained on enough data.
- Naive and IBU can produce dangerous or unintended outcomes under noisy abstraction models.
- Training uses ground-truth rewards, which may not be available in practice.
Experimental setup
Datasets: randomly generated episodes from Traffic Light, Kitchen, and Colour Matching environments
Benchmarks: Gold Mining Traffic Light (MiniGrid) Kitchen (MiniGrid) Colour Matching (MuJoCo)
Metrics: episodic return / sample efficiency log-likelihood of true RM state precision and recall of proposition classifiers
Baselines: Naive IBU Memory-only (Recurrent PPO) Oracle
Builds on: Reward Machines PPO Recurrent PPO Q-learning
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