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A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

Artificial Intelligence · Computer Science 2018-11-14 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

Bayesian optimisation presents a sample-efficient methodology for global optimisation. Within this framework, a crucial performance-determining subroutine is the maximisation of the acquisition function, a task complicated by the fact that…

Machine Learning · Computer Science 2020-12-18 Antoine Grosnit , Alexander I. Cowen-Rivers , Rasul Tutunov , Ryan-Rhys Griffiths , Jun Wang , Haitham Bou-Ammar

Bayesian Optimization, leveraging Gaussian process models, has proven to be a powerful tool for minimizing expensive-to-evaluate objective functions by efficiently exploring the search space. Extensions such as constrained Bayesian…

Computation · Statistics 2025-06-03 Yezhuo Li , Qiong Zhang , Madhura Limaye , Gang Li

Bayesian optimization is a principled optimization strategy for a black-box objective function. It shows its effectiveness in a wide variety of real-world applications such as scientific discovery and experimental design. In general, the…

Machine Learning · Computer Science 2024-11-11 Jungtaek Kim

Bayesian optimization is a sample-efficient approach to solving global optimization problems. Along with a surrogate model, this approach relies on theoretically motivated value heuristics (acquisition functions) to guide the search…

Machine Learning · Statistics 2017-12-04 James T. Wilson , Riccardo Moriconi , Frank Hutter , Marc Peter Deisenroth

Using Bayesian experimental design techniques, we have shown that for a single two-level quantum mechanical system under strong (projective) measurement, the dynamical parameters of a model Hamiltonian can be estimated with exponentially…

Quantum Physics · Physics 2012-06-05 Christopher Ferrie , Christopher E. Granade , D. G. Cory

Bayesian optimization has become a fundamental global optimization algorithm in many problems where sample efficiency is of paramount importance. Recently, there has been proposed a large number of new applications in fields such as…

Artificial Intelligence · Computer Science 2019-02-06 Ruben Martinez-Cantin

Bayesian optimization is a popular tool for data-efficient optimization of expensive objective functions. In real-life applications like engineering design, the designer often wants to take multiple objectives as well as input uncertainty…

Artificial Intelligence · Computer Science 2022-02-28 J. Qing , I. Couckuyt , T. Dhaene

The hybrid approach to experimental design aims to control frequentist operating characteristics of Bayesian decision procedures. These operating characteristics are assessed by simulating sampling distributions of posterior summaries under…

Methodology · Statistics 2026-05-04 Luke Hagar , James M. McGree

Bayesian optimization (BO) is an approach to globally optimizing black-box objective functions that are expensive to evaluate. BO-powered experimental design has found wide application in materials science, chemistry, experimental physics,…

Machine Learning · Computer Science 2023-10-10 Mimi Zhang , Andrew Parnell , Dermot Brabazon , Alessio Benavoli

Bayesian Optimization (BO) is an effective method for optimizing expensive-to-evaluate black-box functions with a wide range of applications for example in robotics, system design and parameter optimization. However, scaling BO to problems…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Lukas P. Fröhlich , Edgar D. Klenske , Christian G. Daniel , Melanie N. Zeilinger

Data collected from arrays of sensors are essential for informed decision-making in various systems. However, the presence of anomalies can compromise the accuracy and reliability of insights drawn from the collected data or information…

Applications · Statistics 2024-03-19 Katie Buchhorn , Kerrie Mengersen , Edgar Santos-Fernandez , James McGree

We consider Bayesian optimization of expensive-to-evaluate experiments that generate vector-valued outcomes over which a decision-maker (DM) has preferences. These preferences are encoded by a utility function that is not known in closed…

Machine Learning · Computer Science 2022-03-23 Zhiyuan Jerry Lin , Raul Astudillo , Peter I. Frazier , Eytan Bakshy

Optimization strategies driven by machine learning, such as Bayesian optimization, are being explored across experimental sciences as an efficient alternative to traditional design of experiment. When combined with automated laboratory…

Optimization and Control · Mathematics 2022-10-18 Riley J. Hickman , Matteo Aldeghi , Florian Häse , Alán Aspuru-Guzik

Computer models, aiming at simulating a complex real system, are often calibrated in the light of data to improve performance. Standard calibration methods assume that the optimal values of calibration parameters are invariant to the model…

Methodology · Statistics 2017-09-01 Georgios Karagiannis , Bledar A. Konomi , Guang Lin

While many advanced statistical methods for the design of experiments exist, it is still typical for physical experiments to be performed adaptively based on human intuition. As a consequence, experimental resources are wasted on…

Methodology · Statistics 2025-03-04 Anton van Beek

Here we introduce a new design framework for synthetic biology that exploits the advantages of Bayesian model selection. We will argue that the difference between inference and design is that in the former we try to reconstruct the system…

Molecular Networks · Quantitative Biology 2015-05-27 Chris Barnes , Daniel Silk , Xia Sheng , Michael P. H. Stumpf

Quality by design in pharmaceutical manufacturing hinges on computational methods and tools that are capable of accurate quantitative prediction of the design space. This paper investigates Bayesian approaches to design space…

In the photonic design problem, a scientist or engineer chooses the physical parameters of a device to best match some desired device behavior. Many instances of the photonic design problem can be naturally stated as a mathematical…

Computational Physics · Physics 2021-01-13 Guillermo Angeris , Jelena Vučković , Stephen Boyd

Selecting the best code solution from multiple generated ones is an essential task in code generation, which can be achieved by using some reliable validators (e.g., developer-written test cases) for assistance. Since reliable test cases…

Software Engineering · Computer Science 2024-10-22 Mouxiang Chen , Zhongxin Liu , He Tao , Yusu Hong , David Lo , Xin Xia , Jianling Sun
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