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Many offline reinforcement learning algorithms are underpinned by $f$-divergence regularization, but their sample complexity *defined with respect to regularized objectives* still lacks tight analyses, especially in terms of concrete data…

机器学习 · 计算机科学 2026-02-27 Qingyue Zhao , Kaixuan Ji , Heyang Zhao , Tong Zhang , Quanquan Gu

Since the objective functions of reinforcement learning problems are typically highly nonconvex, it is desirable that policy gradient, the most popular algorithm, escapes saddle points and arrives at second-order stationary points. Existing…

机器学习 · 计算机科学 2024-05-15 Siqiao Mu , Diego Klabjan

Policy gradient (PG) gives rise to a rich class of reinforcement learning (RL) methods. Recently, there has been an emerging trend to accelerate the existing PG methods such as REINFORCE by the \emph{variance reduction} techniques. However,…

机器学习 · 计算机科学 2021-05-31 Junyu Zhang , Chengzhuo Ni , Zheng Yu , Csaba Szepesvari , Mengdi Wang

The Schr\"{o}dinger bridge (SB) has evolved into a universal class of probabilistic generative models. In practice, however, estimated learning signals are innately uncertain, and the reliability promised by existing methods is often based…

机器学习 · 计算机科学 2025-12-23 Dong-Sig Han , Jaein Kim , Hee Bin Yoo , Byoung-Tak Zhang

Policy optimization methods are popular reinforcement learning algorithms, because their incremental and on-policy nature makes them more stable than the value-based counterparts. However, the same properties also make them slow to converge…

机器学习 · 计算机科学 2021-07-01 Andrea Zanette , Ching-An Cheng , Alekh Agarwal

We revisit the finite time analysis of policy gradient methods in the one of the simplest settings: finite state and action MDPs with a policy class consisting of all stochastic policies and with exact gradient evaluations. There has been…

机器学习 · 计算机科学 2021-12-14 Jalaj Bhandari , Daniel Russo

Policy gradient (PG) methods are successful approaches to deal with continuous reinforcement learning (RL) problems. They learn stochastic parametric (hyper)policies by either exploring in the space of actions or in the space of parameters.…

机器学习 · 计算机科学 2024-05-31 Alessandro Montenegro , Marco Mussi , Alberto Maria Metelli , Matteo Papini

Reinforcement learning (RL) problems over general state and action spaces are notoriously challenging. In contrast to the tableau setting, one can not enumerate all the states and then iteratively update the policies for each state. This…

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

This paper introduces two novel modifications to the Dynamic sAmpling Policy Optimization (DAPO) algorithm [1], approached from a mixed-policy perspective. Standard policy gradient methods can suffer from instability and sample…

机器学习 · 计算机科学 2025-08-20 Hongze Tan , Yuchen Li

Stochastic optimization methods such as mirror descent have wide applications due to low computational cost. Those methods have been well studied under assumption of the independent and identical distribution, and usually achieve sublinear…

机器学习 · 计算机科学 2023-09-27 Yawei Zhao

Reinforcement learning (RL) on high-dimensional and complex problems relies on abstraction for improved efficiency and generalization. In this paper, we study abstraction in the continuous-control setting, and extend the definition of…

机器学习 · 计算机科学 2024-03-08 Prakash Panangaden , Sahand Rezaei-Shoshtari , Rosie Zhao , David Meger , Doina Precup

On-policy reinforcement learning (RL) algorithms are typically characterized as algorithms that perform policy updates using i.i.d. trajectories collected by the agent's current policy. However, after observing only a finite number of…

机器学习 · 计算机科学 2026-02-11 Nicholas E. Corrado , Josiah P. Hanna

We study robust Markov decision processes (RMDPs) with general policy parameterization under s-rectangular and non-rectangular uncertainty sets. Prior work is largely limited to tabular policies, and hence either lacks sample complexity…

机器学习 · 计算机科学 2026-02-13 Anirudh Satheesh , Ziyi Chen , Furong Huang , Heng Huang

Policy gradient methods are among the most effective methods for large-scale reinforcement learning, and their empirical success has prompted several works that develop the foundation of their global convergence theory. However, prior works…

机器学习 · 计算机科学 2020-12-25 Junzi Zhang , Jongho Kim , Brendan O'Donoghue , Stephen Boyd

We present a new perspective on the celebrated Sinkhorn algorithm by showing that is a special case of incremental/stochastic mirror descent. In order to see this, one should simply plug Kullback-Leibler divergence in both mirror map and…

机器学习 · 计算机科学 2019-09-17 Konstantin Mishchenko

This paper is concerned with multi-agent optimization problem. A distributed randomized gradient-free mirror descent (DRGFMD) method is developed by introducing a randomized gradient-free oracle in the mirror descent scheme where the…

最优化与控制 · 数学 2019-03-12 Zhan Yu , Daniel W. C. Ho , Deming Yuan

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

Policy gradient methods, which have been extensively studied in the last decade, offer an effective and efficient framework for reinforcement learning problems. However, their performances can often be unsatisfactory, suffering from…

机器学习 · 计算机科学 2026-01-27 Shihab Ahmed , El Houcine Bergou , Aritra Dutta , Yue Wang

In this paper, we consider the online proximal mirror descent for solving the time-varying composite optimization problems. For various applications, the algorithm naturally involves the errors in the gradient and proximal operator. We…

最优化与控制 · 数学 2023-04-11 Woocheol Choi , Myeong-Su Lee , Seok-Bae Yun

This paper proposes a novel deep reinforcement learning architecture that was inspired by previous tree structured architectures which were only useable in discrete action spaces. Policy Prediction Network offers a way to improve sample…

机器学习 · 计算机科学 2019-09-18 Zac Wellmer , James Kwok