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We consider the problem of distributed estimation under the Bayesian criterion and explore the design of optimal quantizers in such a system. We show that, for a conditionally unbiased and efficient estimator at the fusion center and when…

Information Theory · Computer Science 2015-06-22 Aditya Vempaty , Hao He , Biao Chen , Pramod K. Varshney

We consider the \mnk{classical} problem of a controller activating (or sampling) sequentially from a finite number of $N \geq 2$ populations, specified by unknown distributions. Over some time horizon, at each time $n = 1, 2, \ldots$, the…

Machine Learning · Statistics 2015-12-18 Wesley Cowan , Michael N. Katehakis

A decision maker typically (i) incorporates training data to learn about the relative effectiveness of treatments, and (ii) chooses an implementation mechanism that implies an ``optimal'' predicted outcome distribution according to some…

Econometrics · Economics 2025-05-29 Anders Bredahl Kock , David Preinerstorfer

When applied in healthcare, reinforcement learning (RL) seeks to dynamically match the right interventions to subjects to maximize population benefit. However, the learned policy may disproportionately allocate efficacious actions to one…

Machine Learning · Statistics 2025-01-15 Jitao Wang , Chengchun Shi , John D. Piette , Joshua R. Loftus , Donglin Zeng , Zhenke Wu

This paper is concerned with the sequential covariance intersection (CI) fusion problem that the fusion result is independent of fusion structure including the fusion order and the number of estimates fused in each sequential fusion. An…

Systems and Control · Electrical Eng. & Systems 2021-10-14 Zhongyao Hu , Bo Chen , Wen-An Zhang , Li Yu

Sequential Bayesian experimental design typically assumes that the number of experiments is fixed before data collection begins. In practical campaigns, however, experimentation may need to terminate early because additional measurements…

Methodology · Statistics 2026-05-29 Chen Cheng , Xun Huan

This paper considers the problem of Bayesian transfer learning-based knowledge fusion between linear state-space processes driven by uniform state and observation noise processes. The target task conditions on probabilistic state…

Machine Learning · Computer Science 2021-09-23 Lenka Kuklišová Pavelková , Ladislav Jirsa , Anthony Quinn

A sensor network is considered where a sequence of random variables is observed at each sensor. At each time step, a processed version of the observations is transmitted from the sensors to a common node called the fusion center. At some…

Statistics Theory · Mathematics 2014-08-21 Taposh Banerjee , Venugopal. V. Veeravalli

Systematic discriminatory biases present in our society influence the way data is collected and stored, the way variables are defined, and the way scientific findings are put into practice as policy. Automated decision procedures and…

Machine Learning · Computer Science 2019-05-29 Razieh Nabi , Daniel Malinsky , Ilya Shpitser

We study online Bayesian persuasion problems in which an informed sender repeatedly faces a receiver with the goal of influencing their behavior through the provision of payoff-relevant information. Previous works assume that the sender has…

Computer Science and Game Theory · Computer Science 2024-11-12 Francesco Bacchiocchi , Matteo Bollini , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

In settings like vaccination registries, individuals act after observing others, and the resulting public records can expose private information. We study privacy-preserving sequential learning, where agents add endogenous noise to their…

Theoretical Economics · Economics 2025-10-03 Yuxin Liu , M. Amin Rahimian

Adaptive social learning is a useful tool for studying distributed decision-making problems over graphs. This paper investigates the effect of combination policies on the performance of adaptive social learning strategies. Using…

Signal Processing · Electrical Eng. & Systems 2023-06-01 Ping Hu , Virginia Bordignon , Stefan Vlaski , Ali H. Sayed

In this work we seek for an approach to integrate safety in the learning process that relies on a partly known state-space model of the system and regards the unknown dynamics as an additive bounded disturbance. We introduce a framework for…

Machine Learning · Computer Science 2018-11-12 Stanislav Fedorov , Antonio Candelieri

The problem of sequentially maximizing the expectation of a function seeks to maximize the expected value of a function of interest without having direct control on its features. Instead, the distribution of such features depends on a given…

Machine Learning · Statistics 2022-10-26 Diego Martinez-Taboada , Dino Sejdinovic

Peer prediction mechanisms are often adopted to elicit truthful contributions from crowd workers when no ground-truth verification is available. Recently, mechanisms of this type have been developed to incentivize effort exertion, in…

Computer Science and Game Theory · Computer Science 2016-12-05 Yang Liu , Yiling Chen

An autonomous experimentation platform in manufacturing is supposedly capable of conducting a sequential search for finding suitable manufacturing conditions by itself or even for discovering new materials with minimal human intervention.…

Machine Learning · Computer Science 2024-10-03 Imtiaz Ahmed , Satish Bukkapatnam , Bhaskar Botcha , Yu Ding

This paper studies the optimal mechanism to motivate effort in a dynamic principal-agent model without transfers. An agent is engaged in a task with uncertain future rewards and can quit at any time. The principal knows the reward and…

Theoretical Economics · Economics 2026-01-16 Chang Liu

We consider a scenario where a fusion center must decide which updates to receive during each update period in a communication-limited cognitive radar network. When each radar node in the network only is able to obtain noisy state…

Systems and Control · Electrical Eng. & Systems 2023-02-16 William W. Howard , Charles E. Thornton , R. Michael Buehrer

Many commercial and defense applications involve multisensor, multitarget tracking, requiring the fusion of information from a set of sensors. An interesting use case occurs when data available at a central node (due to geometric diversity…

Signal Processing · Electrical Eng. & Systems 2024-10-04 Zachary Chance

Agents acting in the natural world aim at selecting appropriate actions based on noisy and partial sensory observations. Many behaviors leading to decision mak- ing and action selection in a closed loop setting are naturally phrased within…

Machine Learning · Statistics 2014-06-30 Alex Susemihl , Ron Meir , Manfred Opper