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We adapt recent tools developed for the analysis of Stochastic Gradient Descent (SGD) in non-convex optimization to obtain convergence and sample complexity guarantees for the vanilla policy gradient (PG). Our only assumptions are that the…

机器学习 · 计算机科学 2022-11-21 Rui Yuan , Robert M. Gower , Alessandro Lazaric

Stability is one of the most fundamental requirements for systems synthesis. In this paper, we address the stabilization problem for unknown linear systems via policy gradient (PG) methods. We leverage a key feature of PG for Linear…

最优化与控制 · 数学 2021-12-20 Feiran Zhao , Xingyun Fu , Keyou You

Policy gradient (PG) estimators are ineffective in dealing with softmax policies that are sub-optimally saturated, which refers to the situation when the policy concentrates its probability mass on sub-optimal actions. Sub-optimal policy…

机器学习 · 计算机科学 2022-02-25 Shivam Garg , Samuele Tosatto , Yangchen Pan , Martha White , A. Rupam Mahmood

Motivated by many application problems, we consider Markov decision processes (MDPs) with a general loss function and unknown parameters. To mitigate the epistemic uncertainty associated with unknown parameters, we take a Bayesian approach…

机器学习 · 计算机科学 2025-10-02 Xiaoshuang Wang , Yifan Lin , Enlu Zhou

This paper develops the first policy gradient method with global optimality guarantee and complexity analysis for robust reinforcement learning under model mismatch. Robust reinforcement learning is to learn a policy robust to model…

机器学习 · 计算机科学 2022-05-17 Yue Wang , Shaofeng Zou

Reinforcement Learning (RL) has been used to finetune Large Language Models (LLMs) using a reward model trained from preference data, to better align with human judgment. The recently introduced direct alignment methods, which are often…

Despite its popularity in the reinforcement learning community, a provably convergent policy gradient method for continuous space-time control problems with nonlinear state dynamics has been elusive. This paper proposes proximal gradient…

最优化与控制 · 数学 2022-12-27 Christoph Reisinger , Wolfgang Stockinger , Yufei Zhang

We study online policy optimization in nonlinear time-varying dynamical systems where the true dynamical models are unknown to the controller. This problem is challenging because, unlike in linear systems, the controller cannot obtain…

最优化与控制 · 数学 2024-04-22 Yiheng Lin , James A. Preiss , Fengze Xie , Emile Anand , Soon-Jo Chung , Yisong Yue , Adam Wierman

Policy evaluation estimates the performance of a policy by (1) collecting data from the environment and (2) processing raw data into a meaningful estimate. Due to the sequential nature of reinforcement learning, any improper data-collecting…

机器学习 · 计算机科学 2025-03-21 Shuze Daniel Liu , Claire Chen , Shangtong Zhang

In this paper, we propose a novel reinforcement- learning algorithm consisting in a stochastic variance-reduced version of policy gradient for solving Markov Decision Processes (MDPs). Stochastic variance-reduced gradient (SVRG) methods…

机器学习 · 计算机科学 2018-06-15 Matteo Papini , Damiano Binaghi , Giuseppe Canonaco , Matteo Pirotta , Marcello Restelli

We revisit the estimation bias in policy gradients for the discounted episodic Markov decision process (MDP) from Deep Reinforcement Learning (DRL) perspective. The objective is formulated theoretically as the expected returns discounted…

机器学习 · 计算机科学 2023-02-13 Haoxuan Pan , Deheng Ye , Xiaoming Duan , Qiang Fu , Wei Yang , Jianping He , Mingfei Sun

This paper proposes a novel termination criterion, termed the advantage gap function, for finite state and action Markov decision processes (MDP) and reinforcement learning (RL). By incorporating this advantage gap function into the design…

机器学习 · 计算机科学 2026-03-24 Caleb Ju , Guanghui Lan

To facilitate efficient learning, policy gradient approaches to deep reinforcement learning (RL) are typically paired with variance reduction measures and strategies for making large but safe policy changes based on a batch of experiences.…

机器学习 · 计算机科学 2023-11-13 Jared Markowitz , Edward W. Staley

This work studies an independent natural policy gradient (NPG) algorithm for the multi-agent reinforcement learning problem in Markov potential games. It is shown that, under mild technical assumptions and the introduction of the…

机器学习 · 计算机科学 2023-10-30 Youbang Sun , Tao Liu , Ruida Zhou , P. R. Kumar , Shahin Shahrampour

In the theory of dynamic programming, an optimal policy is a policy whose lifetime value dominates that of all other policies from every possible initial condition in the state space. This raises a natural question: when does optimality…

最优化与控制 · 数学 2025-05-13 John Stachurski , Jingni Yang , Ziyue Yang

Entropy regularization is used to get improved optimization performance in reinforcement learning tasks. A common form of regularization is to maximize policy entropy to avoid premature convergence and lead to more stochastic policies for…

机器学习 · 计算机科学 2019-12-12 Riashat Islam , Zafarali Ahmed , Doina Precup

Reinforcement learning with general utilities (RLGU) offers a unifying framework to capture several problems beyond standard expected returns, including imitation learning, pure exploration, and safe RL. Despite recent fundamental advances…

机器学习 · 计算机科学 2025-10-27 Anas Barakat , Souradip Chakraborty , Peihong Yu , Pratap Tokekar , Amrit Singh Bedi

The beneficial effects of treatments vary across individuals in most studies. Treatment heterogeneity motivates practitioners to search for the optimal policy based on personal characteristics. A long-standing common practice in policy…

统计理论 · 数学 2025-01-06 Xuqiao Li , Ying Yan

Policy gradient is a generic and flexible reinforcement learning approach that generally enjoys simplicity in analysis, implementation, and deployment. In the last few decades, this approach has been extensively advanced for fully…

机器学习 · 计算机科学 2020-05-26 Kamyar Azizzadenesheli , Yisong Yue , Animashree Anandkumar

This paper investigates the use of prior computation to estimate the value function to improve sample efficiency in on-policy policy gradient methods in reinforcement learning. Our approach is to estimate the value function from prior…

机器学习 · 计算机科学 2023-02-06 Md Masudur Rahman , Yexiang Xue