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We consider episodic reinforcement learning in reward-mixing Markov decision processes (RMMDPs): at the beginning of every episode nature randomly picks a latent reward model among $M$ candidates and an agent interacts with the MDP…

机器学习 · 计算机科学 2022-10-07 Jeongyeol Kwon , Yonathan Efroni , Constantine Caramanis , Shie Mannor

We study a class of infinite-horizon average-cost Markov Decision Processes (MDPs) whose reward and transition structures are nearly separable. For the totally separable baseline (that is, with no perturbation), we derive an explicit…

最优化与控制 · 数学 2025-10-28 Dhairya Kantawala

Partially observable Markov decision processes (POMDPs) are standard models for dynamic systems with probabilistic and nondeterministic behaviour in uncertain environments. We prove that in POMDPs with long-run average objective, the…

计算机科学与博弈论 · 计算机科学 2022-09-29 Krishnendu Chatterjee , Raimundo Saona , Bruno Ziliotto

Configurable Markov Decision Processes (Conf-MDPs) have recently been introduced as an extension of the traditional Markov Decision Processes (MDPs) to model the real-world scenarios in which there is the possibility to intervene in the…

机器学习 · 计算机科学 2024-02-22 Alberto Maria Metelli

For a Markov decision process with countably infinite states, the optimal value may not be achievable in the set of stationary policies. In this paper, we study the existence conditions of an optimal stationary policy in a countable-state…

最优化与控制 · 数学 2020-07-06 Li Xia , Xianping Guo , Xi-Ren Cao

This paper extends to Continuous-Time Jump Markov Decision Processes (CTJMDP) the classic result for Markov Decision Processes stating that, for a given initial state distribution, for every policy there is a (randomized) Markov policy,…

最优化与控制 · 数学 2020-05-18 Eugene A. Feinberg , Manasa Mandava , Albert N. Shiryaev

Markov decision processes (MDPs) is viewed as an optimization of an objective function over certain linear operators over general function spaces. A new existence result is established for the existence of optimal policies in general MDPs,…

机器学习 · 计算机科学 2026-04-01 Abhishek Gupta , Aditya Mahajan

In this paper we consider the problem of computing an $\epsilon$-optimal policy of a discounted Markov Decision Process (DMDP) provided we can only access its transition function through a generative sampling model that given any…

最优化与控制 · 数学 2019-06-07 Aaron Sidford , Mengdi Wang , Xian Wu , Lin F. Yang , Yinyu Ye

In this paper, we study discrete-time absorbing Markov Decision Processes (MDP) with measurable state space and Borel action space with a given initial distribution. For such models, solutions to the characteristic equation that are not…

最优化与控制 · 数学 2025-10-10 François Dufour , Tomás Prieto-Rumeau

Markov decision processes (MDPs) are standard models for probabilistic systems with non-deterministic behaviours. Long-run average rewards provide a mathematically elegant formalism for expressing long term performance. Value iteration (VI)…

系统与控制 · 计算机科学 2017-09-01 Pranav Ashok , Krishnendu Chatterjee , Przemyslaw Daca , Jan Křetínský , Tobias Meggendorfer

We study a class of sequential decision-making problems with augmented predictions, potentially provided by a machine learning algorithm. In this setting, the decision-maker receives prediction intervals for unknown parameters that become…

机器学习 · 计算机科学 2025-05-05 Xin Chen , Yuze Chen , Yuan Zhou

In this paper, we consider the problem of optimization and learning for constrained and multi-objective Markov decision processes, for both discounted rewards and expected average rewards. We formulate the problems as zero-sum games where…

最优化与控制 · 数学 2021-03-05 Ather Gattami , Qinbo Bai , Vaneet Agarwal

This paper considers two important problems -- on the supply-side and demand-side respectively and studies both in a unified framework. On the supply side, we study the problem of energy sharing among microgrids with the goal of maximizing…

系统与控制 · 电气工程与系统科学 2019-07-09 Diddigi Raghuram Bharadwaj , Sai Koti Reddy Danda , Krishnasuri Narayanam , Shalabh Bhatnagar

We present quantum observable Markov decision processes (QOMDPs), the quantum analogues of partially observable Markov decision processes (POMDPs). In a QOMDP, an agent's state is represented as a quantum state and the agent can choose a…

人工智能 · 计算机科学 2015-06-19 Jennifer Barry , Daniel T. Barry , Scott Aaronson

Stochastic and soft optimal policies resulting from entropy-regularized Markov decision processes (ER-MDP) are desirable for exploration and imitation learning applications. Motivated by the fact that such policies are sensitive with…

机器学习 · 计算机科学 2022-01-03 Tien Mai , Patrick Jaillet

We consider partially observable Markov decision processes (POMDPs) with a set of target states and every transition is associated with an integer cost. The optimization objective we study asks to minimize the expected total cost till the…

人工智能 · 计算机科学 2014-11-17 Krishnendu Chatterjee , Martin Chmelík , Raghav Gupta , Ayush Kanodia

Markov Decision Processes (MDPs) are stochastic optimization problems that model situations where a decision maker controls a system based on its state. Partially observed Markov decision processes (POMDPs) are generalizations of MDPs where…

最优化与控制 · 数学 2019-03-26 Victor Cohen , Axel Parmentier

Markov decision process (MDP) is a decision making framework where a decision maker is interested in maximizing the expected discounted value of a stream of rewards received at future stages at various states which are visited according to…

最优化与控制 · 数学 2022-12-19 Hoang Nam Nguyen , Abdel Lisser , Vikas Vikram Singh

We consider Incentive Decision Processes, where a principal seeks to reduce its costs due to another agent's behavior, by offering incentives to the agent for alternate behavior. We focus on the case where a principal interacts with a…

计算机科学与博弈论 · 计算机科学 2012-10-19 Sashank J. Reddi , Emma Brunskill

We introduce Mean Field Markov games with $N$ players, in which each individual in a large population interacts with other randomly selected players. The states and actions of each player in an interaction together determine the…

最优化与控制 · 数学 2012-01-12 H. Tembine , J. -Y. Le Boudec , R. El-Azouzi , E. Altman
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