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Solving Markov Decision Processes (MDPs) remains a central challenge in sequential decision-making, especially when dealing with large state spaces and long-term optimization criteria. A key step in Bellman dynamic programming algorithms is…

最优化与控制 · 数学 2025-08-04 Youssef Ait El Mahjoub , Jean-Michel Fourneau , Salma Alouah

This paper studies a finite-horizon Markov decision problem with information-theoretic constraints, where the goal is to minimize directed information from the controlled source process to the control process, subject to stage-wise cost…

系统与控制 · 电气工程与系统科学 2025-09-04 Zixuan He , Charalambos D. Charalambous , Photios A. Stavrou

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

Fairness has emerged as an important concern in automated decision-making in recent years, especially when these decisions affect human welfare. In this work, we study fairness in temporally extended decision-making settings, specifically…

人工智能 · 计算机科学 2022-02-10 Ganesh Ghalme , Vineet Nair , Vishakha Patil , Yilun Zhou

Markov Decision Processes (MDPs), the mathematical framework underlying most algorithms in Reinforcement Learning (RL), are often used in a way that wrongfully assumes that the state of an agent's environment does not change during action…

机器学习 · 计算机科学 2019-12-13 Simon Ramstedt , Christopher Pal

A Markov Decision Process (MDP) is a popular model for reinforcement learning. However, its commonly used assumption of stationary dynamics and rewards is too stringent and fails to hold in adversarial, nonstationary, or multi-agent…

机器学习 · 计算机科学 2019-08-22 Tiancheng Yu , Suvrit Sra

Reinforcement learning in non-stationary environments is challenging due to abrupt and unpredictable changes in dynamics, often causing traditional algorithms to fail to converge. However, in many real-world cases, non-stationarity has some…

机器学习 · 计算机科学 2025-03-25 Mohsen Amiri , Sindri Magnússon

This paper introduces Multi-Agent MDP Homomorphic Networks, a class of networks that allows distributed execution using only local information, yet is able to share experience between global symmetries in the joint state-action space of…

机器学习 · 计算机科学 2022-05-02 Elise van der Pol , Herke van Hoof , Frans A. Oliehoek , Max Welling

We consider a multi-agent episodic MDP setup where an agent (leader) takes action at each step of the episode followed by another agent (follower). The state evolution and rewards depend on the joint action pair of the leader and the…

机器学习 · 计算机科学 2023-01-10 Arnob Ghosh

Autonomous agents often operate in scenarios where the state is partially observed. In addition to maximizing their cumulative reward, agents must execute complex tasks with rich temporal and logical structures. These tasks can be expressed…

系统与控制 · 电气工程与系统科学 2022-03-18 Krishna C. Kalagarla , Dhruva Kartik , Dongming Shen , Rahul Jain , Ashutosh Nayyar , Pierluigi Nuzzo

We investigate the problems of model estimation and reward-free learning in episodic Block MDPs. In these MDPs, the decision maker has access to rich observations or contexts generated from a small number of latent states. We are first…

机器学习 · 计算机科学 2023-02-27 Yassir Jedra , Junghyun Lee , Alexandre Proutière , Se-Young Yun

Markov chains are the de facto finite-state model for stochastic dynamical systems, and Markov decision processes (MDPs) extend Markov chains by incorporating non-deterministic behaviors. Given an MDP and rewards on states, a classical…

计算机科学中的逻辑 · 计算机科学 2024-11-13 Krishnendu Chatterjee , Laurent Doyen

This paper studies the approximation of optimal control policies by quantized (discretized) policies for a very general class of Markov decision processes (MDPs). The problem is motivated by applications in networked control systems,…

最优化与控制 · 数学 2015-05-14 Naci Saldi , Serdar Yüksel , Tamás Linder

This paper proposes a formal approach to online learning and planning for agents operating in a priori unknown, time-varying environments. The proposed method computes the maximally likely model of the environment, given the observations…

机器学习 · 计算机科学 2021-02-09 Melkior Ornik , Ufuk Topcu

This paper proposes a new formulation for the dynamic resource allocation problem, which converts the traditional MDP model with known parameters and no capacity constraints to a new model with uncertain parameters and a resource capacity…

最优化与控制 · 数学 2020-11-10 Onur Demiray , Evrim Didem Güneş , Lerzan Örmeci

Algorithmic decisions made by machine learning models in high-stakes domains may have lasting impacts over time. However, naive applications of standard fairness criterion in static settings over temporal domains may lead to delayed and…

机器学习 · 计算机科学 2022-03-01 Jianfeng Chi , Jian Shen , Xinyi Dai , Weinan Zhang , Yuan Tian , Han Zhao

Multi-agent active perception is a task where a team of agents cooperatively gathers observations to compute a joint estimate of a hidden variable. The task is decentralized and the joint estimate can only be computed after the task ends by…

人工智能 · 计算机科学 2020-10-24 Mikko Lauri , Frans A. Oliehoek

We study Exo-MDPs, a structured class of Markov Decision Processes (MDPs) where the state space is partitioned into exogenous and endogenous components. Exogenous states evolve stochastically, independent of the agent's actions, while…

机器学习 · 统计学 2025-02-06 Jia Wan , Sean R. Sinclair , Devavrat Shah , Martin J. Wainwright

Most reinforcement learning algorithms are based on a key assumption that Markov decision processes (MDPs) are stationary. However, non-stationary MDPs with dynamic action space are omnipresent in real-world scenarios. Yet problems of…

机器学习 · 计算机科学 2023-04-04 Jiaqi Ye , Xiaodong Li , Pangjing Wu , Feng Wang

As we deploy autonomous agents in safety-critical domains, it becomes important to develop an understanding of their internal mechanisms and representations. We outline an approach to imitation learning for reverse-engineering black box…

人工智能 · 计算机科学 2020-06-23 Tom Bewley , Jonathan Lawry , Arthur Richards