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The Power of Resets in Online Reinforcement Learning
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Shows that online RL with local simulator access (resets to previously seen states) enables sample-efficient learning under coverability with only Q*-realizability (SimGolf), and gives a computationally efficient value-function-based algorithm RVFS under pushforward coverability, with applications to Exogenous Block MDPs.
Problem
Online RL with general function approximation typically cannot exploit simulator access efficiently; it is unclear which states to revisit, and existing local-simulator guarantees are limited to linear function approximation.
Approach
Use local simulator access to directly estimate squared Bellman error backups (avoiding double sampling and Bellman completeness) within a GOLF-style global optimism scheme (SimGolf), and build core-sets guided by value-function tests for a computationally efficient recursive search (RVFS).
Key results
- SimGolf learns epsilon-optimal policies with Q*-realizability and coverability using about H^5 C_cov^2 log(|Q|/delta)/epsilon^4 episodes.
- RVFS is computationally efficient (reduces to convex optimization over the value class) with sample complexity about C_push^8 H^23 A epsilon^-13 under pushforward coverability.
- General ExBMDPs are shown learnable with local simulator access via SimGolf with complexity about H^5 S^3 A^3 log|Phi|/epsilon^4.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add local simulator access to online reinforcement learning | SimGolf for MDPs with low coverability · MDPs with low coverability | sample complexity | Helped |
| Use randomized rounding of Bellman backups | RVFS^exo · Weakly correlated Exogenous Block MDPs | learnability under decoder realizability | Helped |
Surprising findings
- The authors conjecture that Q*-realizability plus coverability alone are not sufficient for polynomial sample complexity in vanilla online RL, which would separate online RL from RL with local simulators.
Limitations
- SimGolf is computationally inefficient because it relies on global optimism.
- RVFS requires stronger assumptions (pushforward coverability and V*-realizability with a Delta-gap or V^pi-realizability) than SimGolf.
- Polynomial dependence on problem parameters is loose; no empirical evaluation.
Experimental setup
Metrics: sample complexity suboptimality gap
Baselines: GOLF Go-Explore MCTS AlphaZero
Builds on: GOLF DMQ Go-Explore coverability
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