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Bayesian optimal experimental design (OED) seeks to conduct the most informative experiment under budget constraints to update the prior knowledge of a system to its posterior from the experimental data in a Bayesian framework. Such…

机器学习 · 计算机科学 2024-02-29 Rafael Orozco , Felix J. Herrmann , Peng Chen

Optimal experimental design (OED) is a framework that leverages a mathematical model of the experiment to identify optimal conditions for conducting the experiment. Under a Bayesian approach, the design objective function is typically…

统计计算 · 统计学 2026-01-27 Thomas E. Coons , Xun Huan

Optimal experimental design (OED) provides a systematic approach to quantify and maximize the value of experimental data. Under a Bayesian approach, conventional OED maximizes the expected information gain (EIG) on model parameters.…

统计计算 · 统计学 2026-04-08 Shijie Zhong , Wanggang Shen , Tommie Catanach , Xun Huan

Bayesian optimal experimental design (BOED) is a principled framework for making efficient use of limited experimental resources. Unfortunately, its applicability is hampered by the difficulty of obtaining accurate estimates of the expected…

Bayesian optimal experimental design is a sub-field of statistics focused on developing methods to make efficient use of experimental resources. Any potential design is evaluated in terms of a utility function, such as the (theoretically…

机器学习 · 计算机科学 2022-10-21 Noble Kennamer , Steven Walton , Alexander Ihler

Bayesian optimal experimental design (BOED) provides a powerful, decision-theoretic framework for selecting experiments so as to maximise the expected utility of the data to be collected. In practice, however, its applicability can be…

机器学习 · 统计学 2026-03-13 Louis Sharrock

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 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

Conventional Bayesian optimal experimental design seeks to maximize the expected information gain (EIG) on model parameters. However, the end goal of the experiment often is not to learn the model parameters, but to predict downstream…

统计计算 · 统计学 2024-08-20 Atlanta Chakraborty , Xun Huan , Tommie Catanach

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

Optimal experimental design (OED) plays an important role in the problem of identifying uncertainty with limited experimental data. In many applications, we seek to minimize the uncertainty of a predicted quantity of interest (QoI) based on…

最优化与控制 · 数学 2022-01-06 Keyi Wu , Peng Chen , Omar Ghattas

Optimal experimental design (OED) seeks experiments expected to yield the most useful data for some purpose. In practical circumstances where experiments are time-consuming or resource-intensive, OED can yield enormous savings. We pursue…

统计计算 · 统计学 2014-12-30 Xun Huan , Youssef M. Marzouk

Optimal experimental design (OED) aims to choose the observations in an experiment to be as informative as possible, according to certain statistical criteria. In the linear case (when the observations depend linearly on the unknown…

数值分析 · 数学 2026-02-25 Ruhui Jin , Martin Guerra , Qin Li , Stephen Wright

We address the problem of optimal experimental design (OED) for Bayesian nonlinear inverse problems governed by PDEs. The goal is to find a placement of sensors, at which experimental data are collected, so as to minimize the uncertainty in…

最优化与控制 · 数学 2015-11-04 Alen Alexanderian , Noemi Petra , Georg Stadler , Omar Ghattas

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

Bayesian Optimal Experimental Design (BOED) provides a rigorous framework for decision-making tasks in which data acquisition is often the critical bottleneck, especially in resource-constrained settings. Traditionally, BOED typically…

机器学习 · 统计学 2026-04-24 Di Wu , Ling Liang , Haizhao Yang

Bayesian optimal experimental design (BOED) seeks to maximize the expected information gain (EIG) of experiments. This requires a likelihood estimate, which in many settings is intractable. Simulation-based inference (SBI) provides powerful…

机器学习 · 计算机科学 2026-02-09 Samuel Klein , Willie Neiswanger , Daniel Ratner , Michael Kagan , Sean Gasiorowski

Experimental design is central to science and engineering. A ubiquitous challenge is how to maximize the value of information obtained from expensive or constrained experimental settings. Bayesian optimal experimental design (OED) provides…

统计方法学 · 统计学 2026-02-13 Sofia Mäkinen , Andrew B. Duncan , Tapio Helin

Bayesian Experimental Design (BED), which aims to find the optimal experimental conditions for Bayesian inference, is usually posed as to optimize the expected information gain (EIG). The gradient information is often needed for efficient…

机器学习 · 统计学 2023-12-14 Ziqiao Ao , Jinglai Li

We consider optimal experimental design (OED) for Bayesian nonlinear inverse problems governed by partial differential equations (PDEs) under model uncertainty. Specifically, we consider inverse problems in which, in addition to the…

数值分析 · 数学 2024-07-03 Alen Alexanderian , Ruanui Nicholson , Noemi Petra
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