Research map / Reinforcement learning / Policy gradient and actor-critic
Run-Time Task Composition with Safety Semantics
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Extends Boolean task composition (Nangue Tasse et al. 2020) with two safety-aware negation semantics (minimum-violation and prioritized safety), proves correctness under assumptions, and extends zero-shot composition to continuous action spaces.
Problem
Existing Boolean task composition in RL only supports reachability-only negation and discrete actions, so it cannot express zero-shot safety/avoidance constraints or compose policies in continuous action spaces.
Approach
Penalty-hierarchy reward shaping (multiplier eta) for positive and negated tasks yields minimum-violation and prioritized-safety paths; extended Q-value max/min/negation operators compose these policies at run time, and disjunction/conjunction are derived analytically over continuous-action policies via argmax selection between component policies.
Key results
- Composed policies via zero-shot Boolean operators produce pure paths when possible and MV or PS paths otherwise, shown qualitatively across three environments.
- Theorems 1-6 give correctness of MV and PS semantics and composition under stated assumptions, with PS composition requiring Assumption 4.1 to avoid chattering.
- First demonstration of Boolean task composition in a continuous action space (Bullet-Safety-Gym with TD3).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use prioritized safety (PS) semantics instead of minimum-violation (MV) semantics | Boolean task composition · grid world without a pure path | avoidance of negated regions | Mixed |
| compose separately learned policies for ¬C and ¬D (ablation) | PS composition · grid world without a pure path | chattering | Hurt |
| train one policy for ¬C ∧ ¬D before composition (ablation) | PS composition · grid world without a pure path | chattering | Helped |
Surprising findings
- Naive composition of prioritized safety negated policies can cause chattering (infinite loops) in some constructed environments.
- Penalty multiplier eta from theory can be very large; in practice smaller values suffice and conservative values slow convergence.
Limitations
- PS composition lacks formal guarantees without Assumption 4.1 and can chatter in general.
- Correctness proofs are for optimal policies in deterministic MDPs; function approximation is only demonstrated empirically.
- Multiple learning rates and curriculum tuning needed for function-approximation experiments.
Experimental setup
Datasets: grid world environments (value iteration) item collection grid world with image observations Bullet-Safety-Gym
Benchmarks: grid world (value iteration) item collection grid world with image observations Bullet-Safety-Gym
Metrics: qualitative path comparison policy value and path behavior
Baselines: Nangue Tasse et al. 2020 reachability-only composition
Builds on: Nangue Tasse et al. 2020 Boolean task algebra Q-learning DQN TD3 value iteration
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