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We consider the problem of finding optimal policies for a Markov Decision Process with almost sure constraints on state transitions and action triplets. We define value and action-value functions that satisfy a barrier-based decomposition…

机器学习 · 计算机科学 2020-12-25 Agustin Castellano , Juan Bazerque , Enrique Mallada

We consider an agent interacting with an environment in a single stream of actions, observations, and rewards, with no reset. This process is not assumed to be a Markov Decision Process (MDP). Rather, the agent has several representations…

机器学习 · 计算机科学 2013-03-19 Odalric-Ambrym Maillard , Phuong Nguyen , Ronald Ortner , Daniil Ryabko

Online strategic classification studies settings in which agents strategically modify their features to obtain favorable predictions. For example, given a classifier that determines loan approval based on credit scores, applicants may open…

机器学习 · 计算机科学 2026-02-09 Chase Hutton , Adam Melrod , Han Shao

Model-free approaches for reinforcement learning (RL) and continuous control find policies based only on past states and rewards, without fitting a model of the system dynamics. They are appealing as they are general purpose and easy to…

机器学习 · 计算机科学 2018-10-09 Yasin Abbasi-Yadkori , Nevena Lazic , Csaba Szepesvari

Recursion is the fundamental paradigm to finitely describe potentially infinite objects. As state-of-the-art reinforcement learning (RL) algorithms cannot directly reason about recursion, they must rely on the practitioner's ingenuity in…

机器学习 · 计算机科学 2022-06-24 Ernst Moritz Hahn , Mateo Perez , Sven Schewe , Fabio Somenzi , Ashutosh Trivedi , Dominik Wojtczak

While reinforcement learning has been increasingly applied to stochastic control, few studies have systematically examined policy-based methods in queuing environments modeled as a semi-Markov decision process (SMDP). To address this gap,…

最优化与控制 · 数学 2026-04-28 Joseph Walton , Gabriel Nicolosi

We present the first high-probability optimal regret bound for a policy optimization technique applied to the problem of stochastic contextual multi-armed bandit (CMAB) with general offline function approximation. Our algorithm is both…

机器学习 · 计算机科学 2026-02-17 Orin Levy , Yishay Mansour

Prior authorization (PA) requires interpretation of complex and fragmented coverage policies, yet existing retrieval-augmented systems rely on static top-$K$ strategies with fixed numbers of retrieved sections. Such fixed retrieval can be…

信息检索 · 计算机科学 2026-04-08 Ruslan Sharifullin , Maxim Gorshkov , Hannah Clay

Any reinforcement learning algorithm that applies to all Markov decision processes (MDPs) will suffer $\Omega(\sqrt{SAT})$ regret on some MDP, where $T$ is the elapsed time and $S$ and $A$ are the cardinalities of the state and action…

机器学习 · 统计学 2014-11-04 Ian Osband , Benjamin Van Roy

This paper employs a policy iteration reinforcement learning (RL) method to study continuous-time linear-quadratic mean-field control problems in infinite horizon. The drift and diffusion terms in the dynamics involve the states, the…

最优化与控制 · 数学 2024-11-05 Na Li , Xun Li , Zuo Quan Xu

We provide performance guarantees for a variant of simulation-based policy iteration for controlling Markov decision processes that involves the use of stochastic approximation algorithms along with state-of-the-art techniques that are…

机器学习 · 计算机科学 2022-10-17 Anna Winnicki , R. Srikant

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…

机器学习 · 计算机科学 2023-02-24 Hanlin Zhu , Ruosong Wang , Jason D. Lee

This paper gives the first polynomial-time algorithm for tabular Markov Decision Processes (MDP) that enjoys a regret bound \emph{independent on the planning horizon}. Specifically, we consider tabular MDP with $S$ states, $A$ actions, a…

机器学习 · 计算机科学 2022-06-17 Zihan Zhang , Xiangyang Ji , Simon S. Du

Low-complexity models such as linear function representation play a pivotal role in enabling sample-efficient reinforcement learning (RL). The current paper pertains to a scenario with value-based linear representation, which postulates the…

机器学习 · 计算机科学 2021-10-19 Gen Li , Yuxin Chen , Yuejie Chi , Yuantao Gu , Yuting Wei

We study reinforcement learning in infinite-horizon average-reward settings with linear MDPs. Previous work addresses this problem by approximating the average-reward setting by discounted setting and employing a value iteration-based…

机器学习 · 计算机科学 2025-04-17 Kihyuk Hong , Ambuj Tewari

Fairness plays a crucial role in various multi-agent systems (e.g., communication networks, financial markets, etc.). Many multi-agent dynamical interactions can be cast as Markov Decision Processes (MDPs). While existing research has…

机器学习 · 计算机科学 2023-06-02 Peizhong Ju , Arnob Ghosh , Ness B. Shroff

We consider online imitation learning (OIL), where the task is to find a policy that imitates the behavior of an expert via active interaction with the environment. We aim to bridge the gap between the theory and practice of policy…

机器学习 · 计算机科学 2022-08-02 Jonathan Wilder Lavington , Sharan Vaswani , Mark Schmidt

This work theoretically studies a ubiquitous reinforcement learning policy for controlling the canonical model of continuous-time stochastic linear-quadratic systems. We show that randomized certainty equivalent policy addresses the…

机器学习 · 计算机科学 2022-08-23 Mohamad Kazem Shirani Faradonbeh

We address the issue of safety in reinforcement learning. We pose the problem in an episodic framework of a constrained Markov decision process. Existing results have shown that it is possible to achieve a reward regret of…

机器学习 · 计算机科学 2023-01-26 Tao Liu , Ruida Zhou , Dileep Kalathil , P. R. Kumar , Chao Tian

In some reinforcement learning problems an agent may be provided with a set of input policies, perhaps learned from prior experience or provided by advisors. We present a reinforcement learning with policy advice (RLPA) algorithm which…

机器学习 · 统计学 2013-07-19 Mohammad Gheshlaghi Azar , Alessandro Lazaric , Emma Brunskill