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Classical global convergence results for first-order methods rely on uniform smoothness and the \L{}ojasiewicz inequality. Motivated by properties of objective functions that arise in machine learning, we propose a non-uniform refinement of…

机器学习 · 计算机科学 2022-06-03 Jincheng Mei , Yue Gao , Bo Dai , Csaba Szepesvari , Dale Schuurmans

For the problem of task-agnostic reinforcement learning (RL), an agent first collects samples from an unknown environment without the supervision of reward signals, then is revealed with a reward and is asked to compute a corresponding…

机器学习 · 计算机科学 2022-03-16 Jingfeng Wu , Vladimir Braverman , Lin F. Yang

Traditional policy gradient methods are fundamentally flawed. Natural gradients converge quicker and better, forming the foundation of contemporary Reinforcement Learning such as Trust Region Policy Optimization (TRPO) and Proximal Policy…

机器学习 · 计算机科学 2022-09-07 W. J. A. van Heeswijk

Model-based Reinforcement Learning (RL) is a popular learning paradigm due to its potential sample efficiency compared to model-free RL. However, existing empirical model-based RL approaches lack the ability to explore. This work studies a…

机器学习 · 计算机科学 2021-07-16 Yuda Song , Wen Sun

In this paper, we study the problem of sampling from a given probability density function that is known to be smooth and strongly log-concave. We analyze several methods of approximate sampling based on discretizations of the (highly…

统计理论 · 数学 2024-02-26 Arnak S. Dalalyan , Avetik G. Karagulyan

Bandit and reinforcement learning (RL) problems can often be framed as optimization problems where the goal is to maximize average performance while having access only to stochastic estimates of the true gradient. Traditionally, stochastic…

机器学习 · 计算机科学 2021-02-22 Wesley Chung , Valentin Thomas , Marlos C. Machado , Nicolas Le Roux

In this paper, we consider the problem of learning safe policies for probabilistic-constrained reinforcement learning (RL). Specifically, a safe policy or controller is one that, with high probability, maintains the trajectory of the agent…

机器学习 · 计算机科学 2024-03-14 Weiqin Chen , Dharmashankar Subramanian , Santiago Paternain

Reinforcement Learning is a powerful framework for training agents to navigate different situations, but it is susceptible to changes in environmental dynamics. However, solving Markov Decision Processes that are robust to changes is…

机器学习 · 计算机科学 2024-06-21 Etash Kumar Guha

Entropy regularization is an efficient technique for encouraging exploration and preventing a premature convergence of (vanilla) policy gradient methods in reinforcement learning (RL). However, the theoretical understanding of…

机器学习 · 计算机科学 2024-07-16 Yuhao Ding , Junzi Zhang , Hyunin Lee , Javad Lavaei

Safety is an essential requirement for reinforcement learning systems. The newly emerging framework of robust constrained Markov decision processes allows learning policies that satisfy long-term constraints while providing guarantees under…

机器学习 · 计算机科学 2025-12-19 David M. Bossens , Atsushi Nitanda

To overcome the curses of dimensionality and modeling of Dynamic Programming (DP) methods to solve Markov Decision Process (MDP) problems, Reinforcement Learning (RL) methods are adopted in practice. Contrary to traditional RL algorithms…

机器学习 · 计算机科学 2021-08-24 Arghyadip Roy , Vivek Borkar , Abhay Karandikar , Prasanna Chaporkar

In recent years deep neural networks have been successfully applied to the domains of reinforcement learning \cite{bengio2009learning,krizhevsky2012imagenet,hinton2006reducing}. Deep reinforcement learning \cite{mnih2015human} is reported…

机器学习 · 计算机科学 2020-05-19 Huihui Zhang , Wu Huang

This paper is concerned with the sample efficiency of reinforcement learning, assuming access to a generative model (or simulator). We first consider $\gamma$-discounted infinite-horizon Markov decision processes (MDPs) with state space…

机器学习 · 计算机科学 2025-03-18 Gen Li , Yuting Wei , Yuejie Chi , Yuxin Chen

Recent empirical evidence indicates that many machine learning applications involve heavy-tailed gradient noise, which challenges the standard assumptions of bounded variance in stochastic optimization. Gradient clipping has emerged as a…

最优化与控制 · 数学 2025-07-10 Florian Hübler , Ilyas Fatkhullin , Niao He

We study episodic reinforcement learning (RL) in non-stationary linear kernel Markov decision processes (MDPs). In this setting, both the reward function and the transition kernel are linear with respect to the given feature maps and are…

机器学习 · 计算机科学 2024-12-24 Han Zhong , Zhongren Chen , Zhuoran Yang , Zhaoran Wang , Csaba Szepesvári

A crucial task in system identification problems is the selection of the most appropriate model class, and is classically addressed resorting to cross-validation or using asymptotic arguments. As recently suggested in the literature, this…

数值分析 · 数学 2015-06-09 Silvia Bonettini , Alessandro Chiuso , Marco Prato

We consider the problem of control in the setting of reinforcement learning (RL), where model information is not available. Policy gradient algorithms are a popular solution approach for this problem and are usually shown to converge to a…

机器学习 · 计算机科学 2023-04-24 Mizhaan Prajit Maniyar , Akash Mondal , Prashanth L. A. , Shalabh Bhatnagar

Online safe reinforcement learning (RL) involves training a policy that maximizes task efficiency while satisfying constraints via interacting with the environments. In this paper, our focus lies in addressing the complex challenges…

机器学习 · 计算机科学 2023-12-27 Yihang Yao , Zuxin Liu , Zhepeng Cen , Peide Huang , Tingnan Zhang , Wenhao Yu , Ding Zhao

In this paper, we consider a class of finite-sum convex optimization problems whose objective function is given by the summation of $m$ ($\ge 1$) smooth components together with some other relatively simple terms. We first introduce a…

最优化与控制 · 数学 2015-10-27 Guanghui Lan , Yi Zhou

In this work, we propose a novel inverse reinforcement learning (IRL) algorithm for constrained Markov decision process (CMDP) problems. In standard IRL problems, the inverse learner or agent seeks to recover the reward function of the MDP,…

机器学习 · 计算机科学 2024-01-08 Nirjhar Das , Arpan Chattopadhyay