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Near Optimal Behavior via Approximate State Abstraction

ICML 2016 · Reinforcement learning › Visual and representation RL · approach: In-context and adaptive RL · 111 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use approximate Q*-based state abstraction with increasing εNChain · NChainabstract policy valueNo clear effect
Use approximate Q*-based state abstraction with increasing εMinefield · Minefieldabstract policy valueNo clear effect
Use approximate Q*-based state abstraction with ε between $.02 and $.025Taxi · Taxiabstract policy valueNo clear effect
Increase ε beyond $.025Taxi with approximate Q*-based abstraction · Taxiabstract policy valueHurt
Increase εRandom MDP with approximate Q*-based abstraction · Random MDPabstract policy valueHurt
Use exact Q*-based abstraction (ε = 0)Upworld · Upworldoptimal policy valueNo clear effect
Use exact Q*-based abstraction (ε = 0)Random MDP · Random MDPabstract state countNo clear effect
Aggregate states whose optimal Q-values differ by at most εMDPs · MDPsground-MDP policy suboptimality: 2ε/(1-γ)^2Helped
Aggregate states with rewards and transitions within εMDPs · MDPsground-MDP policy suboptimality: (2ε + 2γε (|S_G| - 1))/(1-γ)^3Helped

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