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Bayesian optimization (BO) is a class of global optimization algorithms, suitable for minimizing an expensive objective function in as few function evaluations as possible. While BO budgets are typically given in iterations, this implicitly…

Machine Learning · Computer Science 2020-03-25 Eric Hans Lee , Valerio Perrone , Cedric Archambeau , Matthias Seeger

In a standard setting of Bayesian optimization (BO), the objective function evaluation is assumed to be highly expensive. Multi-fidelity Bayesian optimization (MFBO) accelerates BO by incorporating lower fidelity observations available with…

This paper studies the problem of globally optimizing a variable of interest that is part of a causal model in which a sequence of interventions can be performed. This problem arises in biology, operational research, communications and,…

Machine Learning · Statistics 2020-05-27 Virginia Aglietti , Xiaoyu Lu , Andrei Paleyes , Javier González

Bayesian optimization is an effective method for solving expensive black-box optimization problems. Most existing methods use Gaussian processes (GP) as the surrogate model for approximating the black-box objective function, it is…

Machine Learning · Computer Science 2025-12-23 Wei Peng , Jianchen Hu , Kang Liu , Qiaozhu Zhai

Bayesian Optimization is a sample-efficient black-box optimization procedure that is typically applied to problems with a small number of independent objectives. However, in practice we often wish to optimize objectives defined over many…

Machine Learning · Computer Science 2021-10-29 Wesley J. Maddox , Maximilian Balandat , Andrew Gordon Wilson , Eytan Bakshy

Bayesian Optimization (BO) methods are useful for optimizing functions that are expen- sive to evaluate, lack an analytical expression and whose evaluations can be contaminated by noise. These methods rely on a probabilistic model of the…

Machine Learning · Statistics 2020-02-04 Eduardo C. Garrido-Merchán , Daniel Hernández-Lobato

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

Bayesian optimization (BO) algorithms try to optimize an unknown function that is expensive to evaluate using minimum number of evaluations/experiments. Most of the proposed algorithms in BO are sequential, where only one experiment is…

Machine Learning · Computer Science 2011-10-18 Javad Azimi , Ali Jalali , Xiaoli Fern

Preferential Bayesian optimisation (PBO) deals with optimisation problems where the objective function can only be accessed via preference judgments, such as "this is better than that" between two candidate solutions (like in A/B tests or…

Machine Learning · Computer Science 2021-04-02 Alessio Benavoli , Dario Azzimonti , Dario Piga

Bayesian Optimisation has gained much popularity lately, as a global optimisation technique for functions that are expensive to evaluate or unknown a priori. While classical BO focuses on where to gather an observation next, it does not…

Robotics · Computer Science 2017-03-14 Philippe Morere , Roman Marchant , Fabio Ramos

In the field of global optimization, many existing algorithms face challenges posed by non-convex target functions and high computational complexity or unavailability of gradient information. These limitations, exacerbated by sensitivity to…

Optimization and Control · Mathematics 2023-10-16 Xinyu Zhang , Sujit Ghosh

Bayesian optimization (BO) protocol based on Active Learning (AL) principles has garnered significant attention due to its ability to optimize black-box objective functions efficiently. This capability is a prerequisite for guiding…

Chemical Physics · Physics 2024-08-07 Osman Mamun , Markus Bause , Bhuiyan Shameem Mahmud Ebna Hai

Bayesian optimization (BO) is a principled approach to molecular design tasks. In this paper we explain three pitfalls of BO which can cause poor empirical performance: an incorrect prior width, over-smoothing, and inadequate acquisition…

Machine Learning · Computer Science 2024-07-26 Austin Tripp , José Miguel Hernández-Lobato

Bayesian optimization (BO) is a sample-efficient approach to optimizing costly-to-evaluate black-box functions. Most BO methods ignore how evaluation costs may vary over the optimization domain. However, these costs can be highly…

Machine Learning · Computer Science 2021-11-15 Raul Astudillo , Daniel R. Jiang , Maximilian Balandat , Eytan Bakshy , Peter I. Frazier

Parallel implementations of distributed global optimization (DGO) [13] on MP-1 and NCUBE parallel computers revealed an approximate O(n) increase in the performance of this algorithm. Therefore, the implementation of the DGO on parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-21 Homayoun Valafar , Okan K. Ersoy , Farmaraz Valafar

Many real-world optimisation problems are defined over both categorical and continuous variables, yet efficient optimisation methods such asBayesian Optimisation (BO) are not designed tohandle such mixed-variable search spaces. Recent…

Machine Learning · Statistics 2022-02-18 Yan Zuo , Amir Dezfouli , Iadine Chades , David Alexander , Benjamin Ward Muir

Bayesian optimization (BO) is a widely-used sequential method for zeroth-order optimization of complex and expensive-to-compute black-box functions. The existing BO methods assume that the function evaluation (feedback) is available to the…

Machine Learning · Computer Science 2022-06-22 Arun Verma , Zhongxiang Dai , Bryan Kian Hsiang Low

In this paper, we study the global optimality of polynomial portfolio optimization (PPO). The PPO is a kind of portfolio selection model with high-order moments and flexible risk preference parameters. We introduce a perturbation sample…

Optimization and Control · Mathematics 2023-09-06 Liu Yang , Yi Yang , Suhan Zhong

Bayesian optimization is an approach to optimizing objective functions that take a long time (minutes or hours) to evaluate. It is best-suited for optimization over continuous domains of less than 20 dimensions, and tolerates stochastic…

Machine Learning · Statistics 2018-07-10 Peter I. Frazier

This paper presents an Improved Bayesian Optimization (IBO) algorithm to solve complex high-dimensional epidemic models' optimal control solution. Evaluating the total objective function value for disease control models with hundreds of…

Methodology · Statistics 2021-08-03 Yuyang Chen , Kaiming Bi , Chih-Hang J. Wu , David Ben-Arieh , Ashesh Sinha
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