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stat.ML2026

Q-Learning with Fine-Grained Gap-Dependent Regret

Haochen Zhang, Zhong Zheng, Lingzhou Xue

We study fine-grained gap-dependent regret bounds for model-free reinforcement learning in episodic tabular Markov Decision Processes. Existing model-free algorithms achieve minima…

stat.ML2026

Regret-Optimal Q-Learning with Low Cost for Single-Agent and Federated Reinforcement Learning

Haochen Zhang, Zhong Zheng, Lingzhou Xue

Motivated by real-world settings where data collection and policy deployment -- whether for a single agent or across multiple agents -- are costly, we study the problem of on-polic…

stat.ML2026

Gap-Dependent Bounds for Nearly Minimax Optimal Reinforcement Learning with Linear Function Approximation

Haochen Zhang, Zhong Zheng, Lingzhou Xue

We study gap-dependent performance guarantees for nearly minimax-optimal algorithms in reinforcement learning with linear function approximation. While prior works have established…

stat.ML2025

Gap-Dependent Bounds for Federated -learning

Haochen Zhang, Zhong Zheng, Lingzhou Xue

We present the first gap-dependent analysis of regret and communication cost for on-policy federated -Learning in tabular episodic finite-horizon Markov decision processes (MDPs…

stat.ML2025

Gap-Dependent Bounds for Q-Learning using Reference-Advantage Decomposition

Zhong Zheng, Haochen Zhang, Lingzhou Xue

We study the gap-dependent bounds of two important algorithms for on-policy Q-learning for finite-horizon episodic tabular Markov Decision Processes (MDPs): UCB-Advantage (Zhang et…

stat.ML2025

Federated Q-Learning with Reference-Advantage Decomposition: Almost Optimal Regret and Logarithmic Communication Cost

Zhong Zheng, Haochen Zhang, Lingzhou Xue

In this paper, we consider model-free federated reinforcement learning for tabular episodic Markov decision processes. Under the coordination of a central server, multiple agents c…