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An analyst observes an agent take a sequence of actions. The analyst does not have access to the agent's information and ponders whether the observed actions could be justified through a rational Bayesian model with a known utility…

Theoretical Economics · Economics 2025-04-08 Henrique de Oliveira , Rohit Lamba

In decentralized stochastic control (or stochastic team theory) and game theory, if there is a pre-defined order in a system in which agents act, the system is called \textit{sequential}, otherwise it is non-sequential. Much of the…

Optimization and Control · Mathematics 2025-08-05 Omar Mrani-Zentar , Ryan Simpson , Serdar Yüksel

We study the problem of deriving policies, or rules, that when enacted on a complex system, cause a desired outcome. Absent the ability to perform controlled experiments, such rules have to be inferred from past observations of the system's…

Machine Learning · Computer Science 2020-09-09 Kailash Budhathoki , Mario Boley , Jilles Vreeken

Building interpretable parameterizations of real-world decision-making on the basis of demonstrated behavior -- i.e. trajectories of observations and actions made by an expert maximizing some unknown reward function -- is essential for…

Machine Learning · Computer Science 2021-03-31 Ioana Bica , Daniel Jarrett , Alihan Hüyük , Mihaela van der Schaar

In this paper, we address the problem of detecting anomalies among a given set of binary processes via learning-based controlled sensing. Each process is parameterized by a binary random variable indicating whether the process is anomalous.…

Machine Learning · Computer Science 2023-12-04 Geethu Joseph , Chen Zhong , M. Cenk Gursoy , Senem Velipasalar , Pramod K. Varshney

The current work is motivated by the need for robust statistical methods for precision medicine; as such, we address the need for statistical methods that provide actionable inference for a single unit at any point in time. We aim to learn…

Statistics Theory · Mathematics 2021-07-02 Ivana Malenica , Aurelien Bibaut , Mark J. van der Laan

In standardized educational testing, test items are reused in multiple test administrations. To ensure the validity of test scores, the psychometric properties of items should remain unchanged over time. In this paper, we consider the…

Applications · Statistics 2021-10-26 Yunxiao Chen , Yi-Hsuan Lee , Xiaoou Li

An adaptive design adjusts dynamically as information is accrued and a consequence of applying an adaptive design is the potential for inducing small-sample bias in estimates. In psychometrics and psychophysics, a common class of studies…

Methodology · Statistics 2025-02-17 Simon Bang Kristensen , Katrine Bødkergaard , Bo Martin Bibby

Inferring cause-effect relationships from observational data has gained significant attention in recent years, but most methods are limited to scalar random variables. In many important domains, including neuroscience, psychology, social…

Machine Learning · Statistics 2025-06-06 Konstantin Göbler , Tobias Windisch , Mathias Drton

In adaptive control, a controller is precisely designed for a certain model of the system, but that model's parameters are updated online by another mechanism called the adaptive update. This allows the controller to aim for the benefits of…

Systems and Control · Computer Science 2017-11-28 Jason Nezvadovitz

We study the problems of sequential nonparametric two-sample and independence testing. Sequential tests process data online and allow using observed data to decide whether to stop and reject the null hypothesis or to collect more data,…

Machine Learning · Statistics 2023-07-21 Aleksandr Podkopaev , Aaditya Ramdas

The model of a non-Bayesian agent who faces a repeated game with incomplete information against Nature is an appropriate tool for modeling general agent-environment interactions. In such a model the environment state (controlled by Nature)…

Artificial Intelligence · Computer Science 2014-11-17 D. Monderer , M. Tennenholtz

The paper focuses on sequential experiments for categorical responses in which whether or not a further observation is made depends on the outcome of a previous experiment. Examples include subsequent medical interventions being performed…

Methodology · Statistics 2025-07-04 Anna Klimova , Tamás Rudas

When developing reinforcement learning agents, the standard approach is to train an agent to converge to a fixed policy that is as close to optimal as possible for a single fixed reward function. If different agent behaviour is required in…

Multiagent Systems · Computer Science 2021-01-29 David O'Callaghan , Patrick Mannion

The aim of a number of psychophysics tasks is to uncover how mammals make decisions in a world that is in flux. Here we examine the characteristics of ideal and near-ideal observers in a task of this type. We ask when and how performance…

Neurons and Cognition · Quantitative Biology 2019-10-10 Adrian E. Radillo , Alan Veliz-Cuba , Krešimir Josić , Zachary P. Kilpatrick

A growing number of universities worldwide use various forms of online and blended learning as part of their academic curricula. Furthermore, the recent changes caused by the COVID-19 pandemic have led to a drastic increase in importance…

Machine Learning · Computer Science 2022-09-05 Galina Deeva , Johannes De Smedt , Cecilia Saint-Pierre , Richard Weber , Jochen De Weerdt

In this paper we investigate the problem of detecting dynamically evolving signals. We model the signal as an $n$ dimensional vector that is either zero or has $s$ non-zero components. At each time step $t\in \mathbb{N}$ the non-zero…

Statistics Theory · Mathematics 2017-11-15 Rui M. Castro , Ervin Tánczos

Tasks that require information about the world imply a trade-off between the time spent on observation and the variance of the response. In particular, fast decisions need to rely on uncertain information. However, standard estimates of…

Neurons and Cognition · Quantitative Biology 2023-07-18 Sahel Azizpour , Viola Priesemann , Johannes Zierenberg , Anna Levina

Consequential decision-making incentivizes individuals to strategically adapt their behavior to the specifics of the decision rule. While a long line of work has viewed strategic adaptation as gaming and attempted to mitigate its effects,…

Machine Learning · Computer Science 2020-02-19 John Miller , Smitha Milli , Moritz Hardt

Transmission of real-time data is strongly increasing due to remote processing of sensor data, among other things. A route to meet this demand is adaptive sensing, in which sensors acquire only relevant information using pre-processing at…

Applied Physics · Physics 2020-07-15 Claudia Lenk , Lars Seeber , Martin Ziegler , Philipp Hövel , Stefanie Gutschmidt