Research map / Learning theory and algorithms / Sample complexity
Tightening the Dependence on Horizon in the Sample Complexity of Q-Learning
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| sharpened error decomposition and recursion analysis of vanilla synchronous Q-learning | vanilla Q-learning, discounted infinite-horizon MDP · generative model, l-infinity error | sample complexity dependence on 1/(1-γ): from (1-γ)^-5 to (1-γ)^-4 (order-wise improvement of 1/(1-γ)) | Helped |
| rescaled linear or constant learning rates with the new analysis | vanilla Q-learning, finite-horizon MDP · generative model, l-infinity error | sample complexity in H | Helped |
| learning rate schedule choice (rescaled linear vs iteration-invariant constant) | vanilla Q-learning, discounted infinite-horizon MDP · generative model | sample complexity order | No clear effect |
Closest papers by meaning
- Sample Complexity of Asynchronous Q-Learning: Sharper Analysis and Variance Reduction (NeurIPS 2020 · similarity 0.94)
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- Sample Efficient Reinforcement Learning with Partial Dynamics Knowledge (AAAI 2024 · similarity 0.92)
- Optimal Sample Complexity for Average Reward Markov Decision Processes (ICLR 2024 · similarity 0.89)
- Near-Optimal Sample Complexity for MDPs via Anchoring (ICML 2025 · similarity 0.89)
- Span-Based Optimal Sample Complexity for Weakly Communicating and General Average Reward MDPs (NeurIPS 2024 · similarity 0.89)
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