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We consider a simulation optimization problem for a context-dependent decision-making, which aims to determine the top-m designs for all contexts. Under a Bayesian framework, we formulate the optimal dynamic sampling decision as a…

Machine Learning · Statistics 2023-06-12 Gongbo Zhang , Sihua Chen , Kuihua Huang , Yijie Peng

The design of multiple experiments is commonly undertaken via suboptimal strategies, such as batch (open-loop) design that omits feedback or greedy (myopic) design that does not account for future effects. This paper introduces new…

Methodology · Statistics 2016-04-29 Xun Huan , Youssef M. Marzouk

The increasing recognition of the association between adverse human health conditions and many environmental substances as well as processes has led to the need to monitor them. An important problem that arises in environmental statistics…

Applications · Statistics 2020-02-05 Yu Wang , Nhu D. Le , James V. Zidek

We review typical design problems encountered in the planning of observational studies and propose a unifying framework that allows us to use the same concepts and notation for different problems. In the framework, the design is defined as…

Statistics Theory · Mathematics 2017-11-02 Juha Karvanen , Jarno Vanhatalo , Kari Auranen , Sangita Kulathinal , Samu Mäntyniemi

Optimal experimental design is a classic topic in statistics, with many well-studied problems, applications, and solutions. The design problem we study is the placement of sensors to monitor spatiotemporal processes, explicitly accounting…

Methodology · Statistics 2026-01-05 Daniel Waxman , Fernando Llorente , Katia Lamer , Petar M. Djurić

We consider the problem of computing optimal experimental design on a finite design space with respect to a compound Bayes risk criterion, which includes the linear criterion for prediction in a random coefficient regression model. We show…

Computation · Statistics 2017-09-08 Radoslav Harman , Maryna Prus

Experimental design is an approach for selecting samples among a given set so as to obtain the best estimator for a given criterion. In the context of linear regression, several optimal designs have been derived, each associated with a…

Statistics Theory · Mathematics 2021-01-01 Geovani Rizk , Igor Colin , Albert Thomas , Moez Draief

Bayesian optimal experiments that maximize the information gained from collected data are critical to efficiently identify behavioral models. We extend a seminal method for designing Bayesian optimal experiments by introducing two…

Applications · Statistics 2025-03-19 Stefano Balietti , Brennan Klein , Christoph Riedl

Suppose an online platform wants to compare a treatment and control policy, e.g., two different matching algorithms in a ridesharing system, or two different inventory management algorithms in an online retail site. Standard randomized…

Methodology · Statistics 2022-12-27 Peter Glynn , Ramesh Johari , Mohammad Rasouli

This work deals with accuracy analysis of dynamical systems interconnected in a cascade structure. For a cascade network there are a number of experimental settings for which the dynamic systems within the network can be identified. We…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Eduardo Mapurunga , Alexandre Sanfelice Bazanella

For biological experiments aiming at calibrating models with unknown parameters, a good experimental design is crucial, especially for those subject to various constraints, such as financial limitations, time consumption and physical…

Applications · Statistics 2014-07-22 Xiao Lin , Gabriel Terejanu

We consider the utilization of a computational model to guide the optimal acquisition of experimental data to inform the stochastic description of model input parameters. Our formulation is based on the recently developed consistent…

Computation · Statistics 2021-05-04 Scott N. Walsh , Tim M. Wildey , John D. Jakeman

The optimal selection of experimental conditions is essential to maximizing the value of data for inference and prediction, particularly in situations where experiments are time-consuming and expensive to conduct. We propose a general…

Machine Learning · Statistics 2012-12-04 Xun Huan , Youssef M. Marzouk

In this paper, we explore a scenario where a sender provides an information policy and a receiver, upon observing a realization of this policy, decides whether to take a particular action, such as making a purchase. The sender's objective…

Numerical Analysis · Mathematics 2024-12-13 Jorge Justiniano , Andreas Kleiner , Benny Moldovanu , Martin Rumpf , Philipp Strack

This paper traces the strong relations between experimental design and control, such as the use of optimal inputs to obtain precise parameter estimation in dynamical systems and the introduction of suitably designed perturbations in…

Optimization and Control · Mathematics 2008-03-03 Luc Pronzato

The problem of designing policies for in-network function computation with minimum energy consumption subject to a latency constraint is considered. The scaling behavior of the energy consumption under the latency constraint is analyzed for…

Networking and Internet Architecture · Computer Science 2016-11-17 Paul Balister , Béla Bollobás , Animashree Anandkumar , Alan Willsky

In optimal experimental design, the objective is to select a limited set of experiments that maximizes information about unknown model parameters based on factor levels. This work addresses the generalized D-optimal design problem, allowing…

Data Structures and Algorithms · Computer Science 2024-11-05 Aditya Pillai , Gabriel Ponte , Marcia Fampa , Jon Lee , and Mohit Singh , Weijun Xie

We present a novel probabilistic approach for optimal path experimental design. In this approach a discrete path optimization problem is defined on a static navigation mesh, and trajectories are modeled as random variables governed by a…

Optimization and Control · Mathematics 2026-01-19 Ahmed Attia

We propose a method for constructing optimal block designs for experiments on networks. The response model for a given network interference structure extends the linear network effects model to incorporate blocks. The optimality criteria…

Methodology · Statistics 2019-11-26 Vasiliki Koutra , Steven G. Gilmour , Ben M. Parker

A key challenge in science and engineering is to design experiments to learn about some unknown quantity of interest. Classical experimental design optimally allocates the experimental budget to maximize a notion of utility (e.g., reduction…

Machine Learning · Computer Science 2022-11-10 Mojmír Mutný , Tadeusz Janik , Andreas Krause
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