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Bayesian experimental design (BED) is a framework that uses statistical models and decision making under uncertainty to optimise the cost and performance of a scientific experiment. Sequential BED, as opposed to static BED, considers the…

Machine Learning · Statistics 2020-03-23 Steven Kleinegesse , Christopher Drovandi , Michael U. Gutmann

Bayesian experimental design (BED) is a principled framework for data-efficient design of sequential experiments. However, existing BED methods are unable to adapt to dynamic constraints inherent in real-world tasks due to budget…

Machine Learning · Statistics 2026-05-27 Yujia Guo , Daolang Huang , Xinyu Zhang , Sammie Katt , Samuel Kaski , Ayush Bharti

Reinforcement Learning (RL) is a computational approach to reward-driven learning in sequential decision problems. It implements the discovery of optimal actions by learning from an agent interacting with an environment rather than from…

Methodology · Statistics 2022-10-06 Mauricio Tec , Yunshan Duan , Peter Müller

Bayesian experimental design (BED) is a tool for guiding experiments founded on the principle of expected information gain. I.e., which experiment design will inform the most about the model can be predicted before experiments in a…

Chemical Physics · Physics 2019-09-10 Eric A. Walker , Kishore Ravisankar

Recent developments in sequential experimental design look to construct a policy that can efficiently navigate the design space, in a way that maximises the expected information gain. Whilst there is work on achieving tractable policies for…

Machine Learning · Computer Science 2025-08-20 Yasir Zubayr Barlas , Kizito Salako

Bayesian experimental design (BED) provides a powerful and general framework for optimizing the design of experiments. However, its deployment often poses substantial computational challenges that can undermine its practical use. In this…

Machine Learning · Statistics 2023-11-30 Tom Rainforth , Adam Foster , Desi R Ivanova , Freddie Bickford Smith

Engineering problems that are modeled using sophisticated mathematical methods or are characterized by expensive-to-conduct tests or experiments, are encumbered with limited budget or finite computational resources. Moreover, practical…

Machine Learning · Computer Science 2021-12-24 Yonatan Ashenafi , Piyush Pandita , Sayan Ghosh

In many scientific and engineering domains, physical experiments are often costly, non-replicable, or time-consuming. The Kennedy and O'Hagan (KOH) model framework has become a widely used approach for combining simulator runs with limited…

Computation · Statistics 2026-03-18 Hao Zhu , Markus Hainy

Digital twins have been actively explored in many engineering applications, such as manufacturing and autonomous systems. However, model discrepancy is ubiquitous in most digital twin models and has significant impacts on the performance of…

Machine Learning · Computer Science 2025-08-12 Huchen Yang , Chuanqi Chen , Jin-Long Wu

Reinforcement learning can learn amortised design policies for designing sequences of experiments. However, current amortised methods rely on estimators of expected information gain (EIG) that require an exponential number of samples on the…

Machine Learning · Computer Science 2024-02-06 Tom Blau , Iadine Chades , Amir Dezfouli , Daniel Steinberg , Edwin V. Bonilla

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

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…

Machine Learning · Statistics 2026-04-08 Wanggang Shen , Jiayuan Dong , Xun Huan

Bayesian experimental design (BED) aims at designing an experiment to maximize the information gathering from the collected data. The optimal design is usually achieved by maximizing the mutual information (MI) between the data and the…

Machine Learning · Computer Science 2021-03-17 Jiaxin Zhang , Sirui Bi , Guannan Zhang

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…

Machine Learning · Computer Science 2024-03-28 Wanggang Shen , Xun Huan

Sequential Bayesian optimal experimental design (SBOED) for PDE-governed inverse problems is computationally challenging, especially for infinite-dimensional random field parameters. High-fidelity approaches require repeated forward and…

Optimization and Control · Mathematics 2026-01-12 Kaichen Shen , Peng Chen

Bayesian experimental design (BED) provides a principled framework for optimizing data collection by choosing experiments that are maximally informative about unknown parameters. However, existing methods cannot deal with the joint…

Machine Learning · Statistics 2026-01-30 Sara Pérez-Vieites , Sahel Iqbal , Simo Särkkä , Dominik Baumann

Bayesian experimental design (BED) is to answer the question that how to choose designs that maximize the information gathering. For implicit models, where the likelihood is intractable but sampling is possible, conventional BED methods…

Machine Learning · Computer Science 2021-03-16 Jiaxin Zhang , Sirui Bi , Guannan Zhang

With the growing needs of online A/B testing to support the innovation in industry, the opportunity cost of running an experiment becomes non-negligible. Therefore, there is an increasing demand for an efficient continuous monitoring…

Machine Learning · Computer Science 2023-04-04 Runzhe Wan , Yu Liu , James McQueen , Doug Hains , Rui Song

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…

Machine Learning · Statistics 2025-03-14 Jacopo Iollo , Christophe Heinkelé , Pierre Alliez , Florence Forbes

We present GO-CBED, a goal-oriented Bayesian framework for sequential causal experimental design. Unlike conventional approaches that select interventions aimed at inferring the full causal model, GO-CBED directly maximizes the expected…

Machine Learning · Computer Science 2025-07-11 Zheyu Zhang , Jiayuan Dong , Jie Liu , Xun Huan
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