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相关论文: On the Effect of Regularization in Policy Mirror D…

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In Reinforcement Learning (RL), regularization has emerged as a popular tool both in theory and practice, typically based either on an entropy bonus or a Kullback-Leibler divergence that constrains successive policies. In practice, these…

机器学习 · 计算机科学 2025-06-18 Alena Shilova , Alex Davey , Brahim Driss , Riad Akrour

We present new policy mirror descent (PMD) methods for solving reinforcement learning (RL) problems with either strongly convex or general convex regularizers. By exploring the structural properties of these overall highly nonconvex…

机器学习 · 计算机科学 2022-04-08 Guanghui Lan

Policy mirror descent (PMD) provides a principled framework for reinforcement learning (RL) by iteratively solving KL-regularized policy improvement subproblems. While this approach has been adopted in training advanced LLMs such as Kimi…

机器学习 · 计算机科学 2026-02-06 Zhenghao Xu , Qin Lu , Changlong Yu , Tuo Zhao

Policy optimization, which finds the desired policy by maximizing value functions via optimization techniques, lies at the heart of reinforcement learning (RL). In addition to value maximization, other practical considerations arise as…

机器学习 · 计算机科学 2023-01-12 Wenhao Zhan , Shicong Cen , Baihe Huang , Yuxin Chen , Jason D. Lee , Yuejie Chi

Policy Mirror Descent (PMD) is a popular framework in reinforcement learning, serving as a unifying perspective that encompasses numerous algorithms. These algorithms are derived through the selection of a mirror map and enjoy finite-time…

机器学习 · 统计学 2026-01-07 Carlo Alfano , Sebastian Towers , Silvia Sapora , Chris Lu , Patrick Rebeschini

Mirror descent (MD), a well-known first-order method in constrained convex optimization, has recently been shown as an important tool to analyze trust-region algorithms in reinforcement learning (RL). However, there remains a considerable…

机器学习 · 计算机科学 2021-06-08 Manan Tomar , Lior Shani , Yonathan Efroni , Mohammad Ghavamzadeh

Policy Mirror Descent (PMD) stands as a versatile algorithmic framework encompassing several seminal policy gradient algorithms such as natural policy gradient, with connections with state-of-the-art reinforcement learning (RL) algorithms…

机器学习 · 计算机科学 2024-11-07 Kimon Protopapas , Anas Barakat

Policy mirror descent (PMD) is a general policy optimization framework in reinforcement learning, which can cover a wide range of typical policy optimization methods by specifying different mirror maps. Existing analysis of PMD requires…

最优化与控制 · 数学 2025-09-24 Jiacai Liu , Wenye Li , Ke Wei

Policy Mirror Descent (PMD) is a powerful and theoretically sound methodology for sequential decision-making. However, it is not directly applicable to Reinforcement Learning (RL) due to the inaccessibility of explicit action-value…

机器学习 · 计算机科学 2024-11-01 Pietro Novelli , Marco Pratticò , Massimiliano Pontil , Carlo Ciliberto

This paper studies the policy mirror descent (PMD) method, which is a general policy optimization framework in reinforcement learning and can cover a wide range of policy gradient methods by specifying difference mirror maps. Existing…

最优化与控制 · 数学 2026-01-01 Wenye Li , Hongxu Chen , Jiacai Liu , Ke Wei

In this paper, we present a new policy gradient (PG) methods, namely the block policy mirror descent (BPMD) method for solving a class of regularized reinforcement learning (RL) problems with (strongly)-convex regularizers. Compared to the…

机器学习 · 计算机科学 2022-09-20 Guanghui Lan , Yan Li , Tuo Zhao

Modern policy optimization methods roughly follow the policy mirror descent (PMD) algorithmic template, for which there are by now numerous theoretical convergence results. However, most of these either target tabular environments, or can…

机器学习 · 计算机科学 2025-07-08 Uri Sherman , Tomer Koren , Yishay Mansour

Inspired by the remarkable success of large neural networks, there has been significant interest in understanding the generalization performance of over-parameterized models. Substantial efforts have been invested in characterizing how…

机器学习 · 计算机科学 2024-01-12 Haoyuan Sun , Khashayar Gatmiry , Kwangjun Ahn , Navid Azizan

We investigate the theoretical aspects of offline reinforcement learning (RL) under general function approximation. While prior works (e.g., Xie et al., 2021) have established the theoretical foundations of learning a good policy from…

机器学习 · 计算机科学 2026-05-11 Xiang Li , Yuheng Zhang , Nan Jiang

In this short note, we give the convergence analysis of the policy in the recent famous policy mirror descent (PMD). We mainly consider the unregularized setting following [11] with generalized Bregman divergence. The difference is that we…

最优化与控制 · 数学 2024-06-04 Dachao Lin , Zhihua Zhang

Despite perfectly interpolating the training data, deep neural networks (DNNs) can often generalize fairly well, in part due to the "implicit regularization" induced by the learning algorithm. Nonetheless, various forms of regularization,…

机器学习 · 计算机科学 2022-02-23 Navid Azizan , Sahin Lale , Babak Hassibi

Reinforcement learning (RL) struggles to scale to large, combinatorial action spaces common in many real-world problems. This paper introduces a novel framework for training discrete diffusion models as highly effective policies in these…

机器学习 · 计算机科学 2026-05-21 Haitong Ma , Ofir Nabati , Aviv Rosenberg , Bo Dai , Oran Lang , Craig Boutilier , Na Li , Shie Mannor , Lior Shani , Guy Tenneholtz

Mode-dependent architectural components (layers that behave differently during training and evaluation, such as Batch Normalization or dropout) are commonly used in visual reinforcement learning but can destabilize on-policy optimization.…

机器学习 · 计算机科学 2026-02-06 Mohamad Mohamad , Francesco Ponzio , Xavier Descombes

Modern policy optimization methods in reinforcement learning, such as TRPO and PPO, owe their success to the use of parameterized policies. However, while theoretical guarantees have been established for this class of algorithms, especially…

机器学习 · 统计学 2024-02-14 Carlo Alfano , Rui Yuan , Patrick Rebeschini

Policy Mirror Descent (PMD) is a general family of algorithms that covers a wide range of novel and fundamental methods in reinforcement learning. Motivated by the instability of policy iteration (PI) with inexact policy evaluation, PMD…

最优化与控制 · 数学 2023-11-23 Emmeran Johnson , Ciara Pike-Burke , Patrick Rebeschini
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