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A basic model in sequential decision making is the Markov decision process (MDP), which is extended to Robust MDPs (RMDPs) by allowing uncertainty in transition probabilities and optimizing against the worst-case transition probabilities…

Computational Complexity · Computer Science 2026-05-11 Ali Asadi , Krishnendu Chatterjee , Alipasha Montaseri , Ali Shafiee

Machine-learned systems are in widespread use for making decisions about humans, and it is important that they are fair, i.e., not biased against individuals based on sensitive attributes. We present runtime verification of algorithmic…

Computers and Society · Computer Science 2023-05-26 Thomas A. Henzinger , Mahyar Karimi , Konstantin Kueffner , Kaushik Mallik

A vast number of systems across the world use algorithmic decision making (ADM) to (partially) automate decisions that have previously been made by humans. The downstream effects of ADM systems critically depend on the decisions made during…

Machine Learning · Statistics 2024-06-21 Jan Simson , Florian Pfisterer , Christoph Kern

We study resource allocation in two-sided markets from a fundamental perspective and introduce a general modeling and algorithmic framework to effectively incorporate the complex and multidimensional aspects of fairness. Our main technical…

Computer Science and Game Theory · Computer Science 2025-06-03 Javier Cembrano , Andrés Moraga , Victor Verdugo

We consider multiple parallel Markov decision processes (MDPs) coupled by global constraints, where the time varying objective and constraint functions can only be observed after the decision is made. Special attention is given to how well…

Optimization and Control · Mathematics 2017-09-12 Xiaohan Wei , Hao Yu , Michael J. Neely

We study the common generalization of Markov decision processes (MDPs) with sets of transition probabilities, known as robust MDPs (RMDPs). A standard goal in RMDPs is to compute a policy that maximizes the expected return under an…

Artificial Intelligence · Computer Science 2025-11-20 Alessandro Abate , Thom Badings , Giuseppe De Giacomo , Francesco Fabiano

We consider reinforcement learning for continuous-time Markov decision processes (MDPs) in the infinite-horizon, average-reward setting. In contrast to discrete-time MDPs, a continuous-time process moves to a state and stays there for a…

Machine Learning · Computer Science 2024-07-03 Xuefeng Gao , Xun Yu Zhou

In this paper, we show the convergence rates of posterior distributions of the model dynamics in a MDP for both episodic and continuous tasks. The theoretical results hold for general state and action space and the parameter space of the…

Statistics Theory · Mathematics 2019-07-23 Zhen Li , Eric Laber

In this paper, a sparse Markov decision process (MDP) with novel causal sparse Tsallis entropy regularization is proposed.The proposed policy regularization induces a sparse and multi-modal optimal policy distribution of a sparse MDP. The…

Machine Learning · Computer Science 2017-10-16 Kyungjae Lee , Sungjoon Choi , Songhwai Oh

We present a new data-driven model of fairness that, unlike existing static definitions of individual or group fairness is guided by the unfairness complaints received by the system. Our model supports multiple fairness criteria and takes…

Machine Learning · Computer Science 2020-08-24 Pranjal Awasthi , Corinna Cortes , Yishay Mansour , Mehryar Mohri

Every computer system -- from schedulers in clouds (e.g. Amazon) to computer networks to operating systems -- performs resource allocation across system users. The defacto allocation policies are max-min fairness (MMF) for single resources…

Computer Science and Game Theory · Computer Science 2022-02-17 Giannis Fikioris , Rachit Agarwal , Éva Tardos

Motivated by practical applications where stable long-term performance is critical-such as robotics, operations research, and healthcare-we study the problem of distributionally robust (DR) average-reward reinforcement learning. We propose…

Machine Learning · Computer Science 2026-02-03 Zijun Chen , Shengbo Wang , Nian Si

A growing body of literature in fairness-aware machine learning (fairML) aims to mitigate machine learning (ML)-related unfairness in automated decision-making (ADM) by defining metrics that measure fairness of an ML model and by proposing…

Machine Learning · Computer Science 2025-07-14 Ludwig Bothmann , Kristina Peters , Bernd Bischl

Markov decision processes (MDPs) are widely used in modeling decision making problems in stochastic environments. However, precise specification of the reward functions in MDPs is often very difficult. Recent approaches have focused on…

Artificial Intelligence · Computer Science 2012-02-20 Eunsoo Oh , Kee-Eung Kim

The assignment of tasks to multiple resources becomes an interesting game theoretic problem, when both the task owner and the resources are strategic. In the classical, nonstrategic setting, where the states of the tasks and resources are…

Computer Science and Game Theory · Computer Science 2012-02-20 Swaprava Nath , Onno Zoeter , Yadati Narahari , Christopher R. Dance

Age of Information (AoI) has been recognized as an important metric to measure the freshness of information. Central to this consensus is that minimizing AoI can enhance the freshness of information, thereby facilitating the accuracy of…

Information Theory · Computer Science 2024-08-09 Aimin Li , Shaohua Wu , Gary C. F. Lee , Xiaomeng Cheng , Sumei Sun

Markov Decision Process (MDP) presents a mathematical framework to formulate the learning processes of agents in reinforcement learning. MDP is limited by the Markovian assumption that a reward only depends on the immediate state and…

Machine Learning · Computer Science 2024-06-04 Bohao Qu , Xiaofeng Cao , Jielong Yang , Hechang Chen , Chang Yi , Ivor W. Tsang , Yew-Soon Ong

We study entropy-regularized constrained Markov decision processes (CMDPs) under the soft-max parameterization, in which an agent aims to maximize the entropy-regularized value function while satisfying constraints on the expected total…

Machine Learning · Computer Science 2023-04-10 Donghao Ying , Yuhao Ding , Javad Lavaei

We consider a multi-source relaying system where independent sources randomly generate status update packets which are sent to the destination with the aid of a relay through unreliable links. We develop transmission scheduling policies to…

Signal Processing · Electrical Eng. & Systems 2023-01-10 Abolfazl Zakeri , Mohammad Moltafet , Markus Leinonen , Marian Codreanu

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…

Optimization and Control · Mathematics 2025-08-04 Youssef Ait El Mahjoub , Jean-Michel Fourneau , Salma Alouah