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Motivated by the success of Bayesian optimisation algorithms in the Euclidean space, we propose a novel approach to construct Intrinsic Bayesian optimisation (In-BO) on manifolds with a primary focus on complex constrained domains or…

机器学习 · 统计学 2023-01-31 Yuan Liu , Mu Niu , Claire Miller

The global optimization of a high-dimensional black-box function under black-box constraints is a pervasive task in machine learning, control, and engineering. These problems are challenging since the feasible set is typically non-convex…

机器学习 · 计算机科学 2021-03-02 David Eriksson , Matthias Poloczek

Graph Neural Networks (GNNs) can predict the performance of an industrial design quickly and accurately and be used to optimize its shape effectively. However, to fully explore the shape space, one must often consider shapes deviating…

机器学习 · 计算机科学 2023-10-03 Nikita Durasov , Artem Lukoyanov , Jonathan Donier , Pascal Fua

Bayesian optimization (BO) is a powerful and data-efficient method for iterative materials discovery and design, particularly valuable when prior knowledge is limited, underlying functional relationships are complex or unknown, and the cost…

Automated chemical synthesis, materials fabrication, and spectroscopic physical measurements often bring forth the challenge of process trajectory optimization, i.e., discovering the time dependence of temperature, electric field, or…

无序系统与神经网络 · 物理学 2022-06-28 Mani Valleti , Rama K. Vasudevan , Maxim A. Ziatdinov , Sergei V. Kalinin

Experimental (design) optimization is a key driver in designing and discovering new products and processes. Bayesian Optimization (BO) is an effective tool for optimizing expensive and black-box experimental design processes. While Bayesian…

机器学习 · 计算机科学 2024-02-28 Arun Kumar A , Alistair Shilton , Sunil Gupta , Santu Rana , Stewart Greenhill , Svetha Venkatesh

Optimal design facilitates intelligent data collection. In this paper, we introduce a fully Bayesian design approach for spatial processes with complex covariance structures, like those typically exhibited in natural ecosystems. Coordinate…

In structural health monitoring (SHM) systems, massive amounts of data are often generated that need data compression techniques to reduce the cost of signal transfer and storage. Compressive sensing (CS) is a novel data acquisition method…

应用统计 · 统计学 2014-12-16 Yong Huang , James L. Beck , Stephen Wu , Hui Li

Bayesian Optimization (BO) is a technique for sample-efficient black-box optimization that employs probabilistic models to identify promising input locations for evaluation. When dealing with composite-structured functions, such as f=g o h,…

机器学习 · 计算机科学 2024-07-11 Natalie Maus , Zhiyuan Jerry Lin , Maximilian Balandat , Eytan Bakshy

Maximizing a target variable as an operational objective within a structural causal model is a fundamental problem. Causal Bayesian Optimization (CBO) approaches typically achieve this either by performing interventions that modify the…

机器学习 · 计算机科学 2026-02-02 Shaogang Ren , Zihao Wang , Yuzhou Chen , Xiaoning Qian

This research delves into optimizing mechanism design, with an emphasis on the energy efficiency and the expansive design possibilities of reciprocating mechanisms. It investigates how to efficiently integrate Computer-Aided Design (CAD)…

系统与控制 · 电气工程与系统科学 2024-03-14 Abdelmajid Ben Yahya , Santiago Ramos Garces , Nick Van Oosterwyck , Annie Cuyt , Stijn Derammelaere

Building surrogate models is one common approach when we attempt to learn unknown black-box functions. Bayesian optimization provides a framework which allows us to build surrogate models based on sequential samples drawn from the function…

机器学习 · 计算机科学 2021-09-17 Hengrui Luo , James W. Demmel , Younghyun Cho , Xiaoye S. Li , Yang Liu

In this paper, we present the application of a recently developed algorithm for Bayesian multi-objective optimization to the design of a commercial aircraft environment control system (ECS). In our model, the ECS is composed of two…

最优化与控制 · 数学 2016-10-10 Paul Feliot , Yves Le Guennec , Julien Bect , Emmanuel Vazquez

The application of compressive sensing (CS) to structural health monitoring is an emerging research topic. The basic idea in CS is to use a specially-designed wireless sensor to sample signals that are sparse in some basis (e.g. wavelet…

应用统计 · 统计学 2015-03-31 Yong Huang , James L. Beck , Stephen Wu , Hui Li

Bayesian optimization (BO) is an efficient framework for optimizing expensive black-box functions. However, it is typically formulated as learning an end-to-end mapping from inputs to scalar objectives, thereby discarding the potentially…

机器学习 · 计算机科学 2026-05-12 Wenbin Wang , Colin N. Jones

Bayesian optimization is a powerful global optimization technique for expensive black-box functions. One of its shortcomings is that it requires auxiliary optimization of an acquisition function at each iteration. This auxiliary…

机器学习 · 统计学 2014-02-28 Ziyu Wang , Babak Shakibi , Lin Jin , Nando de Freitas

Bayesian Optimization (BO) is a foundational strategy in the field of engineering design optimization for efficiently handling black-box functions with many constraints and expensive evaluations. This paper introduces a fast and accurate BO…

计算工程、金融与科学 · 计算机科学 2024-04-09 Rosen , Yu , Cyril Picard , Faez Ahmed

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…

统计计算 · 统计学 2025-06-03 Yezhuo Li , Qiong Zhang , Madhura Limaye , Gang Li

Bayesian Optimization (BO) is an effective framework for globally optimizing functions whose evaluations are expensive. It is particularly effective for optimizing functions defined over continuous domains and explicitly handles stochastic…

计算工程、金融与科学 · 计算机科学 2026-05-21 Buqing Ou , Frederike Dümbgen

We propose a novel Bayesian Optimization approach for black-box functions with an environmental variable whose value determines the tradeoff between evaluation cost and the fidelity of the evaluations. Further, we use a novel approach to…

机器学习 · 统计学 2018-05-16 Mark McLeod , Michael A. Osborne , Stephen J. Roberts