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Related papers: Robust Q-Learning under Corrupted Rewards

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Value function approximation is important in modern reinforcement learning (RL) problems especially when the state space is (infinitely) large. Despite the importance and wide applicability of value function approximation, its theoretical…

Machine Learning · Computer Science 2023-02-24 Hanlin Zhu , Ruosong Wang , Jason D. Lee

Quantum Federated Learning (QFL) merges privacy-preserving federation with quantum computing gains, yet its resilience to adversarial noise is unknown. We first show that QFL is as fragile as centralized quantum learning. We propose Robust…

We study the adversarial robustness in offline reinforcement learning. Given a batch dataset consisting of tuples $(s, a, r, s')$, an adversary is allowed to arbitrarily modify $\epsilon$ fraction of the tuples. From the corrupted dataset…

Machine Learning · Computer Science 2021-06-15 Xuezhou Zhang , Yiding Chen , Jerry Zhu , Wen Sun

Adversarial training in reinforcement learning (RL) is challenging because perturbations cascade through trajectories and compound over time, making fixed-strength attacks either overly destructive or too conservative. We propose…

Machine Learning · Computer Science 2026-01-30 Lucas Schott , Elies Gherbi , Hatem Hajri , Sylvain Lamprier

We consider a stochastic linear bandit problem in which the rewards are not only subject to random noise, but also adversarial attacks subject to a suitable budget $C$ (i.e., an upper bound on the sum of corruption magnitudes across the…

Machine Learning · Statistics 2020-10-29 Ilija Bogunovic , Arpan Losalka , Andreas Krause , Jonathan Scarlett

Reinforcement Learning (RL) algorithms have led to recent successes in solving complex games, such as Atari or Starcraft, and to a huge impact in real-world applications, such as cybersecurity or autonomous driving. In the side of the…

Machine Learning · Computer Science 2021-02-15 Rubén Majadas , Javier García , Fernando Fernández

We prove performance guarantees of two algorithms for approximating $Q^\star$ in batch reinforcement learning. Compared to classical iterative methods such as Fitted Q-Iteration---whose performance loss incurs quadratic dependence on…

Machine Learning · Computer Science 2020-08-25 Tengyang Xie , Nan Jiang

In the reinforcement learning literature, strong theoretical guarantees have been obtained for algorithms applicable to LTI systems. However, in the nonlinear case only weaker results have been obtained for algorithms that mostly rely on…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Victor G. Lopez , Malte Heinrich , Matthias A. Müller

This paper presents the first non-asymptotic result showing that a model-free algorithm can achieve a logarithmic cumulative regret for episodic tabular reinforcement learning if there exists a strictly positive sub-optimality gap in the…

Machine Learning · Computer Science 2021-02-24 Kunhe Yang , Lin F. Yang , Simon S. Du

We present a distributional approach to theoretical analyses of reinforcement learning algorithms for constant step-sizes. We demonstrate its effectiveness by presenting simple and unified proofs of convergence for a variety of…

Machine Learning · Computer Science 2020-03-30 Philip Amortila , Doina Precup , Prakash Panangaden , Marc G. Bellemare

We study the convergence of $Q$-learning with linear function approximation. Our key contribution is the introduction of a novel multi-Bellman operator that extends the traditional Bellman operator. By exploring the properties of this…

Machine Learning · Computer Science 2023-10-02 Diogo S. Carvalho , Pedro A. Santos , Francisco S. Melo

In this paper, we propose a new solution to reward adaptation (RA) in reinforcement learning, where the agent adapts to a target reward function based on one or more existing source behaviors learned a priori under the same domain dynamics…

Machine Learning · Computer Science 2025-10-23 Kevin Vora , Yu Zhang

Q-learning is a promising method for solving optimal control problems for uncertain systems without the explicit need for system identification. However, approaches for continuous-time Q-learning have limited provable safety guarantees,…

Systems and Control · Electrical Eng. & Systems 2024-01-30 Soutrik Bandyopadhyay , Shubhendu Bhasin

We study offline reinforcement learning under $Q^\star$-approximation and partial coverage, a setting that motivates practical algorithms such as Conservative $Q$-Learning (CQL; Kumar et al., 2020) but has received limited theoretical…

Machine Learning · Computer Science 2026-02-13 Haolin Liu , Braham Snyder , Chen-Yu Wei

Robust Markov decision processes (MDPs) address the challenge of model uncertainty by optimizing the worst-case performance over an uncertainty set of MDPs. In this paper, we focus on the robust average-reward MDPs under the model-free…

Machine Learning · Computer Science 2023-05-19 Yue Wang , Alvaro Velasquez , George Atia , Ashley Prater-Bennette , Shaofeng Zou

Off-policy multi-step reinforcement learning algorithms consist of conservative and non-conservative algorithms: the former actively cut traces, whereas the latter do not. Recently, Munos et al. (2016) proved the convergence of conservative…

Machine Learning · Computer Science 2021-03-02 Tadashi Kozuno , Yunhao Tang , Mark Rowland , Rémi Munos , Steven Kapturowski , Will Dabney , Michal Valko , David Abel

Robust reinforcement learning methods typically focus on suppressing unreliable experiences or corrupted rewards, but they lack the ability to reason about the reliability of their own learning process. As a result, such methods often…

Machine Learning · Computer Science 2026-03-24 Zhipeng Zhang , Xiongfei Su , Kai Li

In this paper, as a study of reinforcement learning, we converge the Q function to unbounded rewards such as Gaussian distribution. From the central limit theorem, in some real-world applications it is natural to assume that rewards follow…

Optimization and Control · Mathematics 2021-09-14 Konatsu Miyamoto , Masaya Suzuki , Yuma Kigami , Kodai Satake

The Bellman equation and its continuous form, the Hamilton-Jacobi-Bellman equation, are ubiquitous in reinforcement learning and control theory. However, these equations become intractable for high-dimensional or nonlinear systems. This…

Artificial Intelligence · Computer Science 2026-05-04 Preston Rozwood , Edward Mehrez , Ludger Paehler , Wen Sun , Steven L. Brunton

We study the problem of learning Bayesian networks where an $\epsilon$-fraction of the samples are adversarially corrupted. We focus on the fully-observable case where the underlying graph structure is known. In this work, we present the…

Machine Learning · Computer Science 2021-05-13 Yu Cheng , Honghao Lin