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In this article, we present a framework for taking into account user preferences in multi-objective Bayesian optimization in the case where the objectives are expensive-to-evaluate black-box functions. A novel expected improvement criterion…

最优化与控制 · 数学 2018-09-17 Paul Feliot , Julien Bect , Emmanuel Vazquez

Bayesian optimization has demonstrated impressive success in finding the optimum input x* and output f* = f(x*) = max f(x) of a black-box function f. In some applications, however, the optimum output f* is known in advance and the goal is…

机器学习 · 统计学 2020-08-18 Vu Nguyen , Michael A. Osborne

We consider the problem of finding an input to a stochastic black box function such that the scalar output of the black box function is as close as possible to a target value in the sense of the expected squared error. While the…

机器学习 · 计算机科学 2023-05-16 Johannes G. Hoffer , Sascha Ranftl , Bernhard C. Geiger

Bayesian optimisation is a popular approach for optimising expensive black-box functions. The next location to be evaluated is selected via maximising an acquisition function that balances exploitation and exploration. Gaussian processes,…

机器学习 · 计算机科学 2020-05-11 George De Ath , Jonathan E. Fieldsend , Richard M. Everson

Bayesian optimization (BO) has become a popular strategy for global optimization of many expensive real-world functions. Contrary to a common belief that BO is suited to optimizing black-box functions, it actually requires domain knowledge…

Bayesian Optimization using Gaussian Processes is a popular approach to deal with the optimization of expensive black-box functions. However, because of the a priori on the stationarity of the covariance matrix of classic Gaussian…

机器学习 · 统计学 2019-05-10 Ali Hebbal , Loic Brevault , Mathieu Balesdent , El-Ghazali Talbi , Nouredine Melab

Bayesian optimization is an effective method for finding extrema of a black-box function. We propose a new type of Bayesian optimization for learning user preferences in high-dimensional spaces. The central assumption is that the underlying…

机器学习 · 统计学 2020-08-17 Petrus Mikkola , Milica Todorović , Jari Järvi , Patrick Rinke , Samuel Kaski

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…

机器学习 · 统计学 2018-07-10 Peter I. Frazier

Effective techniques for eliciting user preferences have taken on added importance as recommender systems (RSs) become increasingly interactive and conversational. A common and conceptually appealing Bayesian criterion for selecting queries…

机器学习 · 计算机科学 2019-11-22 Ivan Vendrov , Tyler Lu , Qingqing Huang , Craig Boutilier

In this paper, we propose a novel method to estimate the elite individual to accelerate the convergence of optimization. Inspired by the Bayesian Optimization Algorithm (BOA), the Gaussian Process Regression (GPR) is applied to approximate…

神经与进化计算 · 计算机科学 2022-10-14 Rui Zhong , Enzhi Zhang , Masaharu Munetomo

Bayesian optimization (BO) is a popular methodology to tune the hyperparameters of expensive black-box functions. Traditionally, BO focuses on a single task at a time and is not designed to leverage information from related functions, such…

机器学习 · 统计学 2021-04-20 David Salinas , Huibin Shen , Valerio Perrone

Preferential Bayesian Optimization (PBO) is a sample-efficient method to learn latent user utilities from preferential feedback over a pair of designs. It relies on a statistical surrogate model for the latent function, usually a Gaussian…

机器学习 · 统计学 2025-03-04 Xinyu Zhang , Daolang Huang , Samuel Kaski , Julien Martinelli

Lookahead, also known as non-myopic, Bayesian optimization (BO) aims to find optimal sampling policies through solving a dynamic program (DP) that maximizes a long-term reward over a rolling horizon. Though promising, lookahead BO faces the…

机器学习 · 计算机科学 2022-07-26 Xubo Yue , Raed Al Kontar

Bayesian optimization (BO) is a popular approach for optimizing expensive-to-evaluate black-box objective functions. An important challenge in BO is its application to high-dimensional search spaces due in large part to the curse of…

机器学习 · 计算机科学 2025-05-27 Wei-Ting Tang , Joel A. Paulson

Bayesian models often involve a small set of hyperparameters determined by maximizing the marginal likelihood. Bayesian optimization is a popular iterative method where a Gaussian process posterior of the underlying function is sequentially…

统计计算 · 统计学 2022-08-18 Oskar Gustafsson , Mattias Villani , Pär Stockhammar

Optimizing expensive black-box objectives over mixed search spaces is a common challenge across the natural sciences. Bayesian optimization (BO) offers sample-efficient strategies through probabilistic surrogate models and acquisition…

机器学习 · 计算机科学 2026-04-10 Yuhao Zhang , Ti John , Matthias Stosiek , Patrick Rinke

In many real-world scenarios, decision makers seek to efficiently optimize multiple competing objectives in a sample-efficient fashion. Multi-objective Bayesian optimization (BO) is a common approach, but many of the best-performing…

机器学习 · 统计学 2020-11-12 Samuel Daulton , Maximilian Balandat , Eytan Bakshy

Multi-objective Bayesian optimization (MOBO) provides a principled framework for optimizing expensive black-box functions with multiple objectives. However, existing MOBO methods often struggle with coverage, scalability with respect to the…

机器学习 · 计算机科学 2026-04-20 Yaohong Yang , Sammie Katt , Samuel Kaski

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

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…

机器学习 · 统计学 2022-02-18 Yan Zuo , Amir Dezfouli , Iadine Chades , David Alexander , Benjamin Ward Muir
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