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Bayesian optimization (BO) is a model-based approach for gradient-free black-box function optimization. Typically, BO is powered by a Gaussian process (GP), whose algorithmic complexity is cubic in the number of evaluations. Hence, GP-based…

机器学习 · 统计学 2017-12-11 Valerio Perrone , Rodolphe Jenatton , Matthias Seeger , Cedric Archambeau

There is significant interest in learning and optimizing a complex system composed of multiple sub-components, where these components may be agents or autonomous sensors. Among the rich literature on this topic, agent-based and…

机器学习 · 计算机科学 2021-07-08 Kai Wang , Bryan Wilder , Sze-chuan Suen , Bistra Dilkina , Milind Tambe

Bayesian optimization (BO) is an effective paradigm for the optimization of expensive-to-sample systems. Standard BO learns the performance of a system $f(x)$ by using a Gaussian Process (GP) model; this treats the system as a black-box and…

机器学习 · 统计学 2025-01-03 Leonardo D. González , Victor M. Zavala

Bayesian optimization (BO) based on Gaussian process models is a powerful paradigm to optimize black-box functions that are expensive to evaluate. While several BO algorithms provably converge to the global optimum of the unknown function,…

机器学习 · 统计学 2019-04-03 Felix Berkenkamp , Angela P. Schoellig , Andreas Krause

In many real-world optimization problems, we have prior information about what objective function values are achievable. In this paper, we study the scenario that we have either exact knowledge of the minimum value or a, possibly inexact,…

机器学习 · 计算机科学 2025-09-26 Hanyang Wang , Juergen Branke , Matthias Poloczek

Bayesian optimization (BO) is a powerful framework for optimizing expensive black-box objectives, yet extending it to graph-structured domains remains challenging due to the discrete and combinatorial nature of graphs. Existing approaches…

机器学习 · 计算机科学 2025-11-12 Shu Hong , Yongsheng Mei , Mahdi Imani , Tian Lan

Global sensitivity analysis of complex numerical simulators is often limited by the small number of model evaluations that can be afforded. In such settings, surrogate models built from a limited set of simulations can substantially reduce…

机器学习 · 统计学 2026-01-21 Guerlain Lambert , Céline Helbert , Claire Lauvernet

Bayesian optimization with Gaussian processes has become an increasingly popular tool in the machine learning community. It is efficient and can be used when very little is known about the objective function, making it popular in expensive…

机器学习 · 计算机科学 2011-03-08 Eric Brochu , Matthew W. Hoffman , Nando de Freitas

Bayesian optimization (BO) iteratively fits a Gaussian process (GP) surrogate to accumulated evaluations and selects new queries via an acquisition function such as expected improvement (EI). In practice, BO often concentrates evaluations…

统计方法学 · 统计学 2026-01-13 Jiguang Li , Hengrui Luo

The process of calibrating computer models of natural phenomena is essential for applications in the physical sciences, where plenty of domain knowledge can be embedded into simulations and then calibrated against real observations. Current…

机器学习 · 计算机科学 2025-01-20 Rafael Oliveira , Dino Sejdinovic , David Howard , Edwin V. Bonilla

High-dimensional optimization is a critical challenge for operating large-scale scientific facilities. We apply a physics-informed Gaussian process (GP) optimizer to tune a complex system by conducting efficient global search. Typical GP…

计算物理 · 物理学 2021-07-14 Adi Hanuka , X. Huang , J. Shtalenkova , D. Kennedy , A. Edelen , V. R. Lalchand , D. Ratner , J. Duris

Bayesian Optimization (BO) is a sample-efficient optimization algorithm widely employed across various applications. In some challenging BO tasks, input uncertainty arises due to the inevitable randomness in the optimization process, such…

机器学习 · 计算机科学 2023-11-07 Lin Yang , Junlong Lyu , Wenlong Lyu , Zhitang Chen

Bayesian optimization (BO) is a sample efficient approach to automatically tune the hyperparameters of machine learning models. In practice, one frequently has to solve similar hyperparameter tuning problems sequentially. For example, one…

机器学习 · 计算机科学 2021-02-26 Samuel Horváth , Aaron Klein , Peter Richtárik , Cédric Archambeau

Deep learning techniques play an increasingly important role in industrial and research environments due to their outstanding results. However, the large number of hyper-parameters to be set may lead to errors if they are set manually. The…

机器学习 · 计算机科学 2020-06-04 Michele Fraccaroli , Evelina Lamma , Fabrizio Riguzzi

Bayesian optimization is a class of data efficient model based algorithms typically focused on global optimization. We consider the more general case where a user is faced with multiple problems that each need to be optimized conditional on…

机器学习 · 统计学 2020-11-04 Michael Pearce , Janis Klaise , Matthew Groves

Bayesian optimization (BO ) is an effective method for optimizing expensive-to-evaluate black-box functions. While high-dimensional problems can be particularly challenging, due to the multitude of parameter choices and the potentially high…

机器学习 · 计算机科学 2025-04-09 Erik Hellsten , Carl Hvarfner , Leonard Papenmeier , Luigi Nardi

Bayesian optimization (BO), while proved highly effective for many black-box function optimization tasks, requires practitioners to carefully select priors that well model their functions of interest. Rather than specifying by hand,…

机器学习 · 计算机科学 2023-09-29 Zhou Fan , Xinran Han , Zi Wang

Preferential Bayesian Optimization (PBO) aims to find a decision-maker's most preferred solution in as few pairwise comparisons as possible. Existing approaches rely on Gaussian Process (GP) surrogates, which provide strong performance but…

机器学习 · 计算机科学 2026-05-11 Nick Leenders , Thomas Quadt , Boris Cule , Roy Lindelauf , Herman Monsuur , Joost van Oijen , Mark Voskuijl

Bayesian optimization (BO) is well known to be sample-efficient for solving black-box problems. However, the BO algorithms can sometimes get stuck in suboptimal solutions even with plenty of samples. Intrinsically, such suboptimal problem…

机器学习 · 计算机科学 2025-01-24 Zhendong Guo , Yew-Soon Ong , Tiantian He , Haitao Liu

Bayesian optimization is a highly efficient approach to optimizing objective functions which are expensive to query. These objectives are typically represented by Gaussian process (GP) surrogate models which are easy to optimize and support…

机器学习 · 计算机科学 2024-05-09 Yucen Lily Li , Tim G. J. Rudner , Andrew Gordon Wilson