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In this paper, we consider a modified version of the control problem in a model free Markov decision process (MDP) setting with large state and action spaces. The control problem most commonly addressed in the contemporary literature is to…

人工智能 · 计算机科学 2018-02-01 Ajin George Joseph , Shalabh Bhatnagar

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

Load balancing and auto scaling are at the core of scalable, contemporary systems, addressing dynamic resource allocation and service rate adjustments in response to workload changes. This paper introduces a novel model and algorithms for…

系统与控制 · 电气工程与系统科学 2024-06-21 S. R. Eshwar , Lucas Lopes Felipe , Alexandre Reiffers-Masson , Daniel Sadoc Menasché , Gugan Thoppe

We consider lexicographic bi-objective problems on Markov Decision Processes (MDPs), where we optimize one objective while guaranteeing optimality of another. We propose a two-stage technique for solving such problems when the objectives…

计算机科学与博弈论 · 计算机科学 2023-08-17 Damien Busatto-Gaston , Debraj Chakraborty , Anirban Majumdar , Sayan Mukherjee , Guillermo A. Pérez , Jean-François Raskin

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…

最优化与控制 · 数学 2017-09-12 Xiaohan Wei , Hao Yu , Michael J. Neely

In the reinforcement learning literature, there are many algorithms developed for either Contextual Bandit (CB) or Markov Decision Processes (MDP) environments. However, when deploying reinforcement learning algorithms in the real world,…

机器学习 · 计算机科学 2022-08-02 Kelly W. Zhang , Omer Gottesman , Finale Doshi-Velez

In many domains such as transportation and logistics, search and rescue, or cooperative surveillance, tasks are pending to be allocated with the consideration of possible execution uncertainties. Existing task coordination algorithms either…

多智能体系统 · 计算机科学 2023-08-03 Ruifan Liu , Hyo-Sang Shin , Binbin Yan , Antonios Tsourdos

We study the synthesis of a policy in a Markov decision process (MDP) following which an agent reaches a target state in the MDP while minimizing its total discounted cost. The problem combines a reachability criterion with a discounted…

最优化与控制 · 数学 2021-03-18 Yagiz Savas , Christos K. Verginis , Michael Hibbard , Ufuk Topcu

While marketing budget allocation has been studied for decades in traditional business, nowadays online business brings much more challenges due to the dynamic environment and complex decision-making process. In this paper, we present a…

数据结构与算法 · 计算机科学 2019-05-23 Kui Zhao , Junhao Hua , Ling Yan , Qi Zhang , Huan Xu , Cheng Yang

The wide popularity of short videos on social media poses new opportunities and challenges to optimize recommender systems on the video-sharing platforms. Users provide complex and multi-faceted responses towards recommendations, including…

机器学习 · 计算机科学 2022-05-27 Qingpeng Cai , Ruohan Zhan , Chi Zhang , Jie Zheng , Guangwei Ding , Pinghua Gong , Dong Zheng , Peng Jiang

The optimal policy in various real-world strategic decision-making problems depends both on the environmental configuration and exogenous events. For these settings, we introduce Contextual Bilevel Reinforcement Learning (CB-RL), a…

最优化与控制 · 数学 2024-12-10 Vinzenz Thoma , Barna Pasztor , Andreas Krause , Giorgia Ramponi , Yifan Hu

Marketing is an important mechanism to increase user engagement and improve platform revenue, and heterogeneous causal learning can help develop more effective strategies. Most decision-making problems in marketing can be formulated as…

机器学习 · 计算机科学 2022-12-01 Hao Zhou , Shaoming Li , Guibin Jiang , Jiaqi Zheng , Dong Wang

We address the challenging problem of dynamically pricing complementary items that are sequentially displayed to customers. An illustrative example is the online sale of flight tickets, where customers navigate through multiple web pages.…

We introduce Dynamic Contextual Markov Decision Processes (DCMDPs), a novel reinforcement learning framework for history-dependent environments that generalizes the contextual MDP framework to handle non-Markov environments, where contexts…

机器学习 · 计算机科学 2023-05-19 Guy Tennenholtz , Nadav Merlis , Lior Shani , Martin Mladenov , Craig Boutilier

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…

机器学习 · 计算机科学 2023-04-10 Donghao Ying , Yuhao Ding , Javad Lavaei

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

Partially Observable Markov Decision Processes (POMDPs) provide an efficient way to model real-world sequential decision making processes. Motivated by the problem of maintenance and inspection of a group of infrastructure components with…

最优化与控制 · 数学 2024-08-15 Manav Vora , Pranay Thangeda , Michael N. Grussing , Melkior Ornik

We formalize the problem of maximizing the mean-payoff value with high probability while satisfying a parity objective in a Markov decision process (MDP) with unknown probabilistic transition function and unknown reward function. Assuming…

人工智能 · 计算机科学 2018-08-24 Jan Křetínský , Guillermo A. Pérez , Jean-François Raskin

Optimal control in non-stationary Markov decision processes (MDP) is a challenging problem. The aim in such a control problem is to maximize the long-term discounted reward when the transition dynamics or the reward function can change over…

应用统计 · 统计学 2017-03-03 Taposh Banerjee , Miao Liu , Jonathan P. How

Online advertising has become a key source of revenue for both web search engines and online publishers. For them, the ability of allocating right ads to right webpages is critical because any mismatched ads would not only harm web users'…

信息检索 · 计算机科学 2013-07-15 Shuai Yuan , Jun Wang