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We consider the fractional influence maximization problem, i.e., identifying users on a social network to be incentivized with potentially partial discounts to maximize the influence on the network. The larger the discount given to a user,…

Social and Information Networks · Computer Science 2024-07-09 Akhil Bhimaraju , Eliot W. Robson , Lav R. Varshney , Abhishek K. Umrawal

In the Markov paging model, one assumes that page requests are drawn from a Markov chain over the pages in memory, and the goal is to maintain a fast cache that suffers few page faults in expectation. While computing the optimal online…

Data Structures and Algorithms · Computer Science 2026-05-26 Chirag Pabbaraju , Ali Vakilian

Network slicing is an emerging technique for providing resources to diverse wireless services with heterogeneous quality-of-service needs. However, beyond satisfying end-to-end requirements of network users, network slicing needs to also…

Information Theory · Computer Science 2018-02-01 Ali Taleb Zadeh Kasgari , Walid Saad

The restless bandit problem is one of the most well-studied generalizations of the celebrated stochastic multi-armed bandit problem in decision theory. In its ultimate generality, the restless bandit problem is known to be PSPACE-Hard to…

Data Structures and Algorithms · Computer Science 2009-02-03 Sudipto Guha , Kamesh Munagala , Peng Shi

Combinatorial multi-armed bandits provide a fundamental online decision-making environment where a decision-maker interacts with an environment across $T$ time steps, each time selecting an action and learning the cost of that action. The…

Machine Learning · Computer Science 2026-04-13 Gerdus Benadè , Rathish Das , Thomas Lavastida

We consider influence maximization (IM) in social networks, which is the problem of maximizing the number of users that become aware of a product by selecting a set of "seed" users to expose the product to. While prior work assumes a known…

Machine Learning · Computer Science 2018-05-25 Sharan Vaswani , Branislav Kveton , Zheng Wen , Mohammad Ghavamzadeh , Laks Lakshmanan , Mark Schmidt

We consider a risk-sensitive optimization of consumption-utility on infinite time horizon where the one-period investment gain depends on an underlying economic state whose evolution over time is assumed to be described by a discrete-time,…

Optimization and Control · Mathematics 2021-11-19 Anindya Goswami , Nimit Rana , Tak Kuen Siu

This paper studies the problem of optimal investment in incomplete markets, robust with respect to stopping times. We work on a Brownian motion framework and the stopping times are adapted to the Brownian filtration. Robustness can only be…

Probability · Mathematics 2008-12-02 Traian A Pirvu , Ulrich G Haussmann

This paper studies the approximation of optimal control policies by quantized (discretized) policies for a very general class of Markov decision processes (MDPs). The problem is motivated by applications in networked control systems,…

Optimization and Control · Mathematics 2015-05-14 Naci Saldi , Serdar Yüksel , Tamás Linder

This paper considers the constrained sampling multi-stream quickest change detection problem, also known as the bandit quickest change detection problem. One stream contains a change-point that shifts its mean by an unknown amount. The goal…

Systems and Control · Electrical Eng. & Systems 2026-03-30 Joshua Kartzman , Calvin Hawkins , Matthew Hale

Fair resource allocation is one of the most important topics in communication networks. Existing solutions almost exclusively assume each user utility function is known and concave. This paper seeks to answer the following question: how to…

Machine Learning · Computer Science 2023-01-09 Kaiyi Ji , Lei Ying

This paper investigates optimal portfolio strategies in a market where the drift is driven by an unobserved Markov chain. Information on the state of this chain is obtained from stock prices and expert opinions in the form of signals at…

Portfolio Management · Quantitative Finance 2016-02-03 Rüdiger Frey , Abdelali Gabih , Ralf Wunderlich

We consider the problem of minimizing a certainty equivalent of the total or discounted cost over a finite and an infinite time horizon which is generated by a Partially Observable Markov Decision Process (POMDP). The certainty equivalent…

Probability · Mathematics 2021-07-21 Nicole Bäuerle , Ulrich Rieder

In this paper we consider energy efficient scheduling in a multiuser setting where each user has a finite sized queue and there is a cost associated with holding packets (jobs) in each queue (modeling the delay constraints). The packets of…

Systems and Control · Computer Science 2017-10-18 Vivek S. Borkar , Gaurav S. Kasbekar , Sarath Pattathil , Priyesh Y. Shetty

In this paper, we consider the problem of power efficient uplink scheduling in a Time Division Multiple Access (TDMA) system over a fading wireless channel. The objective is to minimize the power expenditure of each user subject to…

Networking and Internet Architecture · Computer Science 2007-10-08 Nitin Salodkar , Abhay Karandikar , Vivek S. Borkar

We consider a class of restless bandit problems that finds a broad application area in reinforcement learning and stochastic optimization. We consider $N$ independent discrete-time Markov processes, each of which had two possible states: 1…

Machine Learning · Computer Science 2024-05-14 Keqin Liu , Richard Weber , Chengzhong Zhang

In this work, we propose distributed and networked energy management scenarios to optimize the production and reservation of energy among a set of distributed energy nodes. In other words, the idea is to optimally allocate the generated and…

Systems and Control · Electrical Eng. & Systems 2023-08-23 Mohammadreza Doostmohammadian

Throughput-optimal transmission scheduling in wireless networks has been a well considered problem in the literature, and the method for achieving optimality, MaxWeight scheduling, has been known for several decades. This algorithm achieves…

Networking and Internet Architecture · Computer Science 2020-08-05 Thomas Stahlbuhk , Brooke Shrader , Eytan Modiano

We investigate the problem of optimally observing a finite set of targets using a mobile agent over an infinite time horizon. The agent is tasked to move in a network-constrained structure to gather information so as to minimize the…

Systems and Control · Electrical Eng. & Systems 2022-01-19 Samuel C. Pinto , Shirantha Welikala , Sean B. Andersson , Julien M. Hendrickx , Christos G. Cassandras

We study the stochastic multi-armed bandit (MAB) problem where an underlying network structure enables side-observations across related actions. We use a bipartite graph to link actions to a set of unknowns, such that selecting an action…

Machine Learning · Computer Science 2026-03-30 Ashutosh Soni , Peizhong Ju , Atilla Eryilmaz , Ness B. Shroff