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This paper investigates natural conditions for the existence of optimal policies for a Markov decision process with incomplete information (MDPII) and with expected total costs. The MDPII is the classic model of a controlled stochastic…

Optimization and Control · Mathematics 2021-09-30 Eugene A. Feinberg , Pavlo O. Kasyanov , Michael Z. Zgurovsky

We study risk-sensitive reinforcement learning in finite discounted MDPs, where a generative model of the MDP is assumed to be available. We consider a family or risk measures called the optimized certainty equivalent (OCE), which includes…

Machine Learning · Computer Science 2026-05-22 Oliver Mortensen , Mohammad Sadegh Talebi

The optimal operation problem of electric vehicle aggregator (EVA) is considered. An EVA can participate in energy and regulation markets with its current and upcoming EVs, thus reducing its total cost of purchasing energy to fulfill EVs'…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Liling Gong , Ye Guo , Hongbin Sun

Offline safe reinforcement learning (RL) has emerged as a promising approach for learning safe behaviors without engaging in risky online interactions with the environment. Most existing methods in offline safe RL rely on cost constraints…

Machine Learning · Computer Science 2025-04-22 Ze Gong , Akshat Kumar , Pradeep Varakantham

We observe that many system policies that make threshold decisions involving a resource (e.g., time, memory, cores) naturally reveal additional, or implicit feedback. For example, if a system waits X min for an event to occur, then it…

Machine Learning · Computer Science 2021-10-29 Mathias Lécuyer , Sang Hoon Kim , Mihir Nanavati , Junchen Jiang , Siddhartha Sen , Amit Sharma , Aleksandrs Slivkins

In dynamic programming and reinforcement learning, the policy for the sequential decision making of an agent in a stochastic environment is usually determined by expressing the goal as a scalar reward function and seeking a policy that…

Artificial Intelligence · Computer Science 2025-02-26 Simon Dima , Simon Fischer , Jobst Heitzig , Joss Oliver

This paper studies the computation of robust deterministic policies for Markov Decision Processes (MDPs) in the Lightning Does Not Strike Twice (LDST) model of Mannor, Mebel and Xu (ICML '12). In this model, designed to provide robustness…

Optimization and Control · Mathematics 2024-12-18 Fei Wu , Erik Demeulemeester , Jannik Matuschke

Caching content over CDNs or at the network edge has been solidified as a means to improve network cost and offer better streaming experience to users. Furthermore, nudging the users towards low-cost content has recently gained momentum as…

Networking and Internet Architecture · Computer Science 2020-12-08 Theodoros Giannakas , Anastasios Giovanidis , Thrasyvoulos Spyropoulos

A common technique in reinforcement learning is to evaluate the value function from Monte Carlo simulations of a given policy, and use the estimated value function to obtain a new policy which is greedy with respect to the estimated value…

Machine Learning · Computer Science 2023-03-01 Anna Winnicki , R. Srikant

In order to model risk aversion in reinforcement learning, an emerging line of research adapts familiar algorithms to optimize coherent risk functionals, a class that includes conditional value-at-risk (CVaR). Because optimizing the…

Machine Learning · Computer Science 2021-03-09 Audrey Huang , Liu Leqi , Zachary C. Lipton , Kamyar Azizzadenesheli

In many real-world scenarios, the utility of a user is derived from the single execution of a policy. In this case, to apply multi-objective reinforcement learning, the expected utility of the returns must be optimised. Various scenarios…

Machine Learning · Computer Science 2022-07-06 Conor F. Hayes , Timothy Verstraeten , Diederik M. Roijers , Enda Howley , Patrick Mannion

Learning optimal policies from historical data enables personalization in a wide variety of applications including healthcare, digital recommendations, and online education. The growing policy learning literature focuses on settings where…

Machine Learning · Statistics 2022-11-17 Ruohan Zhan , Zhimei Ren , Susan Athey , Zhengyuan Zhou

One often encounters the curse of dimensionality in the application of dynamic programming to determine optimal policies for controlled Markov chains. In this paper, we provide a method to construct sub-optimal policies along with a bound…

Systems and Control · Computer Science 2011-08-17 Myoungkuk Park , Krishnamoorthy Kalyanam , Swaroop Darbha , Phil Chandler , Meir Pachter

We study continuous action reinforcement learning problems in which it is crucial that the agent interacts with the environment only through safe policies, i.e.,~policies that do not take the agent to undesirable situations. We formulate…

Machine Learning · Computer Science 2019-02-13 Yinlam Chow , Ofir Nachum , Aleksandra Faust , Edgar Duenez-Guzman , Mohammad Ghavamzadeh

We address the problem of finding an optimal policy in a Markov decision process under a restricted policy class defined by the convex hull of a set of base policies. This problem is of great interest in applications in which a number of…

Machine Learning · Computer Science 2018-02-28 Ershad Banijamali , Yasin Abbasi-Yadkori , Mohammad Ghavamzadeh , Nikos Vlassis

With the growing use of machine learning (ML) models in critical domains such as finance and healthcare, the need to offer recourse for those adversely affected by the decisions of ML models has become more important; individuals ought to…

Machine Learning · Computer Science 2024-04-02 Haochen Wu , Shubham Sharma , Sunandita Patra , Sriram Gopalakrishnan

We study policy optimization in an infinite horizon, $\gamma$-discounted constrained Markov decision process (CMDP). Our objective is to return a policy that achieves large expected reward with a small constraint violation. We consider the…

Machine Learning · Computer Science 2022-04-12 Arushi Jain , Sharan Vaswani , Reza Babanezhad , Csaba Szepesvari , Doina Precup

Markov Decision Processes (MDPs) are the most common model for decision making under uncertainty in the Machine Learning community. An MDP captures non-determinism, probabilistic uncertainty, and an explicit model of action. A Reinforcement…

Artificial Intelligence · Computer Science 2025-06-10 Alena Makarova , Houssam Abbas

We consider the problem of constrained Markov Decision Process (CMDP) where an agent interacts with a unichain Markov Decision Process. At every interaction, the agent obtains a reward. Further, there are $K$ cost functions. The agent aims…

Machine Learning · Computer Science 2022-06-22 Mridul Agarwal , Qinbo Bai , Vaneet Aggarwal

Reactive synthesis algorithms allow automatic construction of policies to control an environment modeled as a Markov Decision Process (MDP) that are optimal with respect to high-level temporal logic specifications. However, they assume that…

Formal Languages and Automata Theory · Computer Science 2022-05-31 Rajeev Alur , Suguman Bansal , Osbert Bastani , Kishor Jothimurugan
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