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Motivated by wide-ranging applications such as video delivery over networks using Multiple Description Codes, congestion control, and inventory management, we study the state-tracking of a Markovian random process with a known transition…

信息论 · 计算机科学 2017-03-06 Parisa Mansourifard , Tara Javidi , Bhaskar Krishnamachari

Markov decision processes (MDPs) provide a fundamental model for sequential decision making under process uncertainty. A classical synthesis task is to compute for a given MDP a winning policy that achieves a desired specification. However,…

计算机科学中的逻辑 · 计算机科学 2024-07-18 Roman Andriushchenko , Milan Češka , Sebastian Junges , Filip Macák

Markov decision processes (MDPs) are formal models commonly used in sequential decision-making. MDPs capture the stochasticity that may arise, for instance, from imprecise actuators via probabilities in the transition function. However, in…

人工智能 · 计算机科学 2023-06-21 Marnix Suilen , Thiago D. Simão , David Parker , Nils Jansen

We study reinforcement learning for the optimal control of Branching Markov Decision Processes (BMDPs), a natural extension of (multitype) Branching Markov Chains (BMCs). The state of a (discrete-time) BMCs is a collection of entities of…

机器学习 · 计算机科学 2021-06-15 Ernst Moritz Hahn , Mateo Perez , Sven Schewe , Fabio Somenzi , Ashutosh Trivedi , Dominik Wojtczak

This paper is devoted to studying constrained continuous-time Markov decision processes (MDPs) in the class of randomized policies depending on state histories. The transition rates may be unbounded, the reward and costs are admitted to be…

概率论 · 数学 2012-01-04 Xianping Guo , Xinyuan Song

Uplift modeling aims to directly model the incremental impact of a treatment on an individual response. In this work, we address the problem from a new angle and reformulate it as a Markov Decision Process (MDP). We conducted extensive…

机器学习 · 计算机科学 2019-02-06 Chenchen Li , Xiang Yan , Xiaotie Deng , Yuan Qi , Wei Chu , Le Song , Junlong Qiao , Jianshan He , Junwu Xiong

Value iteration is a well-known method of solving Markov Decision Processes (MDPs) that is simple to implement and boasts strong theoretical convergence guarantees. However, the computational cost of value iteration quickly becomes…

机器学习 · 计算机科学 2021-07-26 Guanting Chen , Johann Demetrio Gaebler , Matt Peng , Chunlin Sun , Yinyu Ye

We study online learning in episodic constrained Markov decision processes (CMDPs), where the learner aims at collecting as much reward as possible over the episodes, while satisfying some long-term constraints during the learning process.…

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 study and provide efficient algorithms for multi-objective model checking problems for Markov Decision Processes (MDPs). Given an MDP, M, and given multiple linear-time (\omega -regular or LTL) properties \varphi\_i, and probabilities…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Kousha Etessami , Marta Kwiatkowska , Moshe Y. Vardi , Mihalis Yannakakis

The Markov Decision Process (MDP) is a popular framework for sequential decision-making problems, and uncertainty quantification is an essential component of it to learn optimal decision-making strategies. In particular, a Bayesian…

机器学习 · 统计学 2025-05-06 Jiaqi Guo , Chon Wai Ho , Sumeetpal S. Singh

We investigate the problem of best policy identification in discounted linear Markov Decision Processes in the fixed confidence setting under a generative model. We first derive an instance-specific lower bound on the expected number of…

机器学习 · 计算机科学 2022-08-12 Jerome Taupin , Yassir Jedra , Alexandre Proutiere

Non-stationary domains, where unforeseen changes happen, present a challenge for agents to find an optimal policy for a sequential decision making problem. This work investigates a solution to this problem that combines Markov Decision…

人工智能 · 计算机科学 2017-05-04 Leonardo A. Ferreira , Reinaldo A. C. Bianchi , Paulo E. Santos , Ramon Lopez de Mantaras

A Markov decision process (MDP) framework is adopted to represent ensemble control of devices with cyclic energy consumption patterns, e.g., thermostatically controlled loads. Specifically we utilize and develop the class of MDP models…

系统与控制 · 计算机科学 2017-10-24 Michael Chertkov , Vladimir Y. Chernyak , Deepjyoti Deka

Constrained Markov decision processes (CMDPs), in which the agent optimizes expected payoffs while keeping the expected cost below a given threshold, are the leading framework for safe sequential decision making under stochastic…

人工智能 · 计算机科学 2024-12-19 Martin Kurečka , Václav Nevyhoštěný , Petr Novotný , Vít Unčovský

We consider partially observable Markov decision processes (POMDPs) with a set of target states and positive integer costs associated with every transition. The traditional optimization objective (stochastic shortest path) asks to minimize…

人工智能 · 计算机科学 2016-05-12 Tomáš Brázdil , Krishnendu Chatterjee , Martin Chmelík , Anchit Gupta , Petr Novotný

The Robust Markov Decision Process (RMDP) framework focuses on designing control policies that are robust against the parameter uncertainties due to the mismatches between the simulator model and real-world settings. An RMDP problem is…

机器学习 · 计算机科学 2022-05-17 Kishan Panaganti , Dileep Kalathil

The Adversarial Markov Decision Process (AMDP) is a learning framework that deals with unknown and varying tasks in decision-making applications like robotics and recommendation systems. A major limitation of the AMDP formalism, however, is…

机器学习 · 统计学 2024-05-06 Sang Bin Moon , Abolfazl Hashemi

Much research has been done to analyze the stock market. After all, if one can determine a pattern in the chaotic frenzy of transactions, then they could make a hefty profit from capitalizing on these insights. As such, the goal of our…

机器学习 · 计算机科学 2025-05-27 Ziyi Zhou , Nicholas Stern , Julien Laasri

Critical infrastructure systems such as electric power networks, water networks, and transportation systems play a major role in the welfare of any community. In the aftermath of disasters, their recovery is of paramount importance; orderly…

人工智能 · 计算机科学 2019-10-22 Yugandhar Sarkale , Saeed Nozhati , Edwin K. P. Chong , Bruce R. Ellingwood