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Bayesian Optimal Experimental Design (BOED) is a powerful tool to reduce the cost of running a sequence of experiments. When based on the Expected Information Gain (EIG), design optimization corresponds to the maximization of some…

机器学习 · 统计学 2025-03-14 Jacopo Iollo , Christophe Heinkelé , Pierre Alliez , Florence Forbes

We propose a novel approach for sequential optimal experimental design (sOED) for Bayesian inverse problems involving expensive models with high-dimensional unknown parameters. This work focuses on designs that maximize the expected…

最优化与控制 · 数学 2026-05-05 Tiangang Cui , Karina Koval , Roland Herzog , Robert Scheichl

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…

统计方法学 · 统计学 2016-04-29 Xun Huan , Youssef M. Marzouk

Optimal design is a critical yet challenging task within many applications. This challenge arises from the need for extensive trial and error, often done through simulations or running field experiments. Fortunately, sequential optimal…

机器学习 · 计算机科学 2025-03-25 Xubo Yue , Raed Al Kontar , Albert S. Berahas , Yang Liu , Blake N. Johnson

Group sequential designs drive innovation in clinical, industrial, and corporate settings. Early stopping for failure in sequential designs conserves experimental resources, whereas early stopping for success accelerates access to improved…

统计方法学 · 统计学 2025-11-27 Luke Hagar , Shirin Golchi , Marina B. Klein

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…

统计计算 · 统计学 2021-05-04 Scott N. Walsh , Tim M. Wildey , John D. Jakeman

We present a mathematical framework and computational methods to optimally design a finite number of sequential experiments. We formulate this sequential optimal experimental design (sOED) problem as a finite-horizon partially observable…

机器学习 · 计算机科学 2024-03-28 Wanggang Shen , Xun Huan

Optimal designs minimize the number of experimental runs (samples) needed to accurately estimate model parameters, resulting in algorithms that, for instance, efficiently minimize parameter estimate variance. Governed by knowledge of past…

统计方法学 · 统计学 2023-02-03 Nicholas W. Barendregt , Emily G. Webb , Zachary P. Kilpatrick

We introduce a fully stochastic gradient based approach to Bayesian optimal experimental design (BOED). Our approach utilizes variational lower bounds on the expected information gain (EIG) of an experiment that can be simultaneously…

机器学习 · 统计学 2020-02-28 Adam Foster , Martin Jankowiak , Matthew O'Meara , Yee Whye Teh , Tom Rainforth

We introduce Bayesian optimization, a technique developed for optimizing time-consuming engineering simulations and for fitting machine learning models on large datasets. Bayesian optimization guides the choice of experiments during…

机器学习 · 统计学 2017-11-22 Peter I. Frazier , Jialei Wang

The process of calibrating computer models of natural phenomena is essential for applications in the physical sciences, where plenty of domain knowledge can be embedded into simulations and then calibrated against real observations. Current…

机器学习 · 计算机科学 2025-01-20 Rafael Oliveira , Dino Sejdinovic , David Howard , Edwin V. Bonilla

Bayesian optimization through Gaussian process regression is an effective method of optimizing an unknown function for which every measurement is expensive. It approximates the objective function and then recommends a new measurement point…

机器学习 · 统计学 2017-05-17 Hildo Bijl , Thomas B. Schön , Jan-Willem van Wingerden , Michel Verhaegen

We propose a sequential Monte Carlo (SMC) method to efficiently and accurately compute cut-Bayesian posterior quantities of interest, variations of standard Bayesian approaches constructed primarily to account for model misspecification. We…

统计计算 · 统计学 2024-11-13 Joseph Mathews , Giri Gopalan , James Gattiker , Sean Smith , Devin Francom

We present variational sequential optimal experimental design (vsOED), a novel method for optimally designing a finite sequence of experiments within a Bayesian framework with information-theoretic criteria. vsOED employs a one-point reward…

机器学习 · 统计学 2026-04-08 Wanggang Shen , Jiayuan Dong , Xun Huan

Recent work has shown constrained Bayesian optimization to be a powerful technique for the optimization of industrial processes. In complex manufacturing processes, the possibility to run extensive sequences of experiments with the goal of…

系统与控制 · 电气工程与系统科学 2022-05-12 Xavier Guidetti , Alisa Rupenyan , Lutz Fassl , Majid Nabavi , John Lygeros

In this paper, we propose a novel approach to Bayesian experimental design for non-exchangeable data that formulates it as risk-sensitive policy optimization. We develop the Inside-Out SMC$^2$ algorithm, a nested sequential Monte Carlo…

机器学习 · 统计学 2024-05-30 Sahel Iqbal , Adrien Corenflos , Simo Särkkä , Hany Abdulsamad

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…

统计方法学 · 统计学 2026-05-29 Chen Cheng , Xun Huan

This paper presents a method called sampling-computation-optimization (SCO) to design batch Bayesian optimization. SCO does not construct new high-dimensional acquisition functions but samples from the existing one-site acquisition function…

最优化与控制 · 数学 2022-02-22 Kai Jia , Xiaojun Duan , Zhengming Wang , Liang Yan

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…

机器学习 · 统计学 2012-12-04 Xun Huan , Youssef M. Marzouk

Model comparison for the purposes of selection, averaging and validation is a problem found throughout statistics. Within the Bayesian paradigm, these problems all require the calculation of the posterior probabilities of models within a…

统计方法学 · 统计学 2015-06-08 Yan Zhou , Adam M Johansen , John A D Aston
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