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A reinforcement learning agent tries to maximize its cumulative payoff by interacting in an unknown environment. It is important for the agent to explore suboptimal actions as well as to pick actions with highest known rewards. Yet, in…

Machine Learning · Computer Science 2019-01-23 Reazul Hasan Russel

Maximizing long-term rewards is the primary goal in sequential decision-making problems. The majority of existing methods assume that side information is freely available, enabling the learning agent to observe all features' states before…

Machine Learning · Computer Science 2023-07-19 Saeed Ghoorchian , Evgenii Kortukov , Setareh Maghsudi

In this paper, we study the problem of estimating uniformly well the mean values of several distributions given a finite budget of samples. If the variance of the distributions were known, one could design an optimal sampling strategy by…

Machine Learning · Computer Science 2015-07-17 Alexandra Carpentier , Alessandro Lazaric , Mohammad Ghavamzadeh , Rémi Munos , Peter Auer , András Antos

Winners-take-all situations introduce an incentive for agents to diversify their behavior, since doing so will result in splitting an eventual price with fewer people. At the same time, when the payoff of a process depends on a parameter…

Computer Science and Game Theory · Computer Science 2019-06-11 Abel Molina

There is increasing interest in using streaming data to inform decision making across a wide range of application domains including mobile health, food safety, security, and resource management. A decision support system formalizes online…

Methodology · Statistics 2019-05-14 Tao Hu , Eric B. Laber , Zhen Li , Nick J. Meyer , Krishna Pacifici

We consider the problem of optimal dynamic information acquisition from many correlated information sources. Each period, the decision-maker jointly takes an action and allocates a fixed number of observations across the available sources.…

Computer Science and Game Theory · Computer Science 2018-05-15 Annie Liang , Xiaosheng Mu , Vasilis Syrgkanis

We introduce a dynamic mechanism design problem in which the designer wants to offer for sale an item to an agent, and another item to the same agent at some point in the future. The agent's joint distribution of valuations for the two…

Computer Science and Game Theory · Computer Science 2023-05-22 Christos Papadimitriou , George Pierrakos , Christos-Alexandros Psomas , Aviad Rubinstein

We study the impact of learning on the optimal policy and the time-to-decision in an infinite-horizon Bayesian sequential decision model with two irreversible alternatives, exit and expansion. In our model, a firm undertakes a small-scale…

Optimization and Control · Mathematics 2019-01-15 H. Dharma Kwon , Steven A. Lippman

This paper is concerned with the problem of designing agents able to dynamically select information from multiple data sources in order to tackle tasks that involve tracking a target behavior while optimizing a reward. We formulate this…

Optimization and Control · Mathematics 2021-06-11 Émiland Garrabé , Giovanni Russo

This paper investigates the optimization of memory sampling in status updating systems, where source updates are published in shared memory, and reader process samples the memory for source updates by paying a sampling cost. We formulate a…

Systems and Control · Electrical Eng. & Systems 2024-05-27 Vishakha Ramani , Ivan Seskar , Roy D. Yates

When facing many options, we narrow down our focus to very few of them. Although behaviors like this can be a sign of heuristics, they can actually be optimal under limited cognitive resources. Here we study the problem of how to optimally…

Neurons and Cognition · Quantitative Biology 2021-02-03 Jorge Ramírez-Ruiz , Rubén Moreno-Bote

Stochastic optimization is one of the central problems in Machine Learning and Theoretical Computer Science. In the standard model, the algorithm is given a fixed distribution known in advance. In practice though, one may acquire at a cost…

Data Structures and Algorithms · Computer Science 2023-06-07 Mingchen Ma , Christos Tzamos

Online auctions are one of the most fundamental facets of the modern economy and power an industry generating hundreds of billions of dollars a year in revenue. Auction theory has historically focused on the question of designing the best…

Computer Science and Game Theory · Computer Science 2021-09-23 Thomas Nedelec , Clément Calauzènes , Noureddine El Karoui , Vianney Perchet

We consider the problem of choosing the best of $n$ samples, out of a large random pool, when the sampling of each member is associated with a certain cost. The quality (worth) of the best sample clearly increases with $n$, but so do the…

Statistics Theory · Mathematics 2015-06-16 Joseph D. Skufca , Daniel ben-Avraham

Reinforcement learning algorithms describe how an agent can learn an optimal action policy in a sequential decision process, through repeated experience. In a given environment, the agent policy provides him some running and terminal…

Theoretical Economics · Economics 2020-03-24 Arthur Charpentier , Romuald Elie , Carl Remlinger

Reinforcement learning studies how an agent should interact with an environment to maximize its cumulative reward. A standard way to study this question abstractly is to ask how many samples an agent needs from the environment to learn an…

Quantum Physics · Physics 2021-12-21 Daochen Wang , Aarthi Sundaram , Robin Kothari , Ashish Kapoor , Martin Roetteler

Consider a team of agents in the plane searching for and visiting target points that appear in a bounded environment according to a stochastic renewal process with a known absolutely continuous spatial distribution. Agents must detect…

Robotics · Computer Science 2012-02-02 John J. Enright , Emilio Frazzoli

We consider a data analyst's problem of purchasing data from strategic agents to compute an unbiased estimate of a statistic of interest. Agents incur private costs to reveal their data and the costs can be arbitrarily correlated with their…

Computer Science and Game Theory · Computer Science 2018-09-06 Yiling Chen , Nicole Immorlica , Brendan Lucier , Vasilis Syrgkanis , Juba Ziani

Game theory serves as a powerful tool for distributed optimization in multi-agent systems in different applications. In this paper we consider multi-agent systems that can be modeled by means of potential games whose potential function…

Optimization and Control · Mathematics 2018-04-13 Tatiana Tatarenko

We study the design of decision-making mechanism for resource allocations over a multi-agent system in a dynamic environment. Agents' privately observed preference over resources evolves over time and the population is dynamic due to the…

Systems and Control · Electrical Eng. & Systems 2020-05-20 Tao Zhang , Quanyan Zhu