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We propose MUMBO, the first high-performing yet computationally efficient acquisition function for multi-task Bayesian optimization. Here, the challenge is to perform efficient optimization by evaluating low-cost functions somehow related…

机器学习 · 计算机科学 2020-06-23 Henry B. Moss , David S. Leslie , Paul Rayson

Bayesian optimization (BO) with Gaussian processes is a powerful methodology to optimize an expensive black-box function with as few function evaluations as possible. The expected improvement (EI) and probability of improvement (PI) are…

机器学习 · 计算机科学 2023-07-06 Takuya Kanazawa

Preferential Bayesian optimization (PBO) is a framework for optimizing a decision-maker's latent preferences over available design choices. While preferences often involve multiple conflicting objectives, existing work in PBO assumes that…

机器学习 · 计算机科学 2024-06-24 Raul Astudillo , Kejun Li , Maegan Tucker , Chu Xin Cheng , Aaron D. Ames , Yisong Yue

Bayesian optimization (BO) is a widely used iterative algorithm for optimizing black-box functions. Each iteration requires maximizing an acquisition function, such as the upper confidence bound (UCB) or a sample path from the Gaussian…

机器学习 · 统计学 2025-06-16 Hwanwoo Kim , Chong Liu , Yuxin Chen

Sequential maximization of expected improvement (EI) is one of the most widely used policies in Bayesian optimization because of its simplicity and ability to handle noisy observations. In particular, the improvement function often uses the…

机器学习 · 计算机科学 2023-11-15 Han Zhou , Xingchen Ma , Matthew B Blaschko

There are a lot of real-world black-box optimization problems that need to optimize multiple criteria simultaneously. However, in a multi-objective optimization (MOO) problem, identifying the whole Pareto front requires the prohibitive…

Bayesian optimization is widely used for hyperparameter optimization when model evaluations are expensive; however, noisy acquisition estimates can lead to unstable decisions. We identify acquisition estimation noise as a failure mode that…

机器学习 · 计算机科学 2026-05-08 Maresa Schröder , Pascal Janetzky , Michael Klar , Stefan Feuerriegel

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 (BO) is a popular technique for sample-efficient optimization of black-box functions. In many applications, the parameters being tuned come with a carefully engineered default configuration, and practitioners only want…

机器学习 · 计算机科学 2026-05-12 Samuel Daulton , David Eriksson , Maximilian Balandat , Eytan Bakshy

Bayesian optimisation (BO) is a well-known efficient algorithm for finding the global optimum of expensive, black-box functions. The current practical BO algorithms have regret bounds ranging from $\mathcal{O}(\frac{logN}{\sqrt{N}})$ to…

机器学习 · 计算机科学 2026-04-28 Hung Tran-The , Sunil Gupta , Santu Rana , Svetha Venkatesh

BayesianOptimization(BO) is a sample-efficient black-box optimizer, and extensive methods have been proposed to build the absolute function response of the black-box function through a probabilistic surrogate model, including…

机器学习 · 计算机科学 2024-02-07 Xiaoxing Wang , Jiaxing Li , Chao Xue , Wei Liu , Weifeng Liu , Xiaokang Yang , Junchi Yan , Dacheng Tao

Preferential Bayesian optimization (PBO) learns latent utilities from pairwise comparisons, but most existing methods assume homoscedastic comparison noise. This is inadequate in human-in-the-loop settings, where a user may compare some…

机器学习 · 计算机科学 2026-05-19 Marshal Arijona Sinaga , Julien Martinelli , Samuel Kaski

Bayesian optimization (BO) is an attractive machine learning framework for performing sample-efficient global optimization of black-box functions. The optimization process is guided by an acquisition function that selects points to acquire…

机器学习 · 计算机科学 2024-10-14 Felix Teufel , Carsten Stahlhut , Jesper Ferkinghoff-Borg

Bayesian optimization (BO) is a class of sample-efficient global optimization methods, where a probabilistic model conditioned on previous observations is used to determine future evaluations via the optimization of an acquisition function.…

机器学习 · 计算机科学 2020-06-22 Eric Hans Lee , David Eriksson , Bolong Cheng , Michael McCourt , David Bindel

In Bayesian optimization (BO) for expensive black-box optimization tasks, acquisition function (AF) guides sequential sampling and plays a pivotal role for efficient convergence to better optima. Prevailing AFs usually rely on artificial…

机器学习 · 计算机科学 2022-10-04 Zijing Liu , Xiyao Qu , Xuejun Liu , Hongqiang Lyu

This paper describes a general-purpose extension of max-value entropy search, a popular approach for Bayesian Optimisation (BO). A novel approximation is proposed for the information gain -- an information-theoretic quantity central to…

机器学习 · 计算机科学 2021-10-27 Henry B. Moss , David S. Leslie , Javier Gonzalez , Paul Rayson

Bayesian optimization (BO) is a typical approach to solve expensive optimization problems. In each iteration of BO, a Gaussian process(GP) model is trained using the previously evaluated solutions; then next candidate solutions for…

神经与进化计算 · 计算机科学 2022-06-23 Jixiang Chen , Fu Luo , Zhenkun Wang

Many real-world optimisation problems such as hyperparameter tuning in machine learning or simulation-based optimisation can be formulated as expensive-to-evaluate black-box functions. A popular approach to tackle such problems is Bayesian…

机器学习 · 计算机科学 2021-05-28 Juan Ungredda , Juergen Branke

Bayesian Optimization (BO) is widely used for optimizing expensive black-box functions, particularly in hyperparameter tuning. However, standard BO assumes access to precise objective values, which may be unavailable, noisy, or unreliable…

机器学习 · 统计学 2025-10-07 Tunde Fahd Egunjobi

We consider an optimization problem of an expensive-to-evaluate black-box function, in which we can obtain noisy function values in parallel. For this problem, parallel Bayesian optimization (PBO) is a promising approach, which aims to…

机器学习 · 计算机科学 2026-03-13 Shuhei Sugiura , Ichiro Takeuchi , Shion Takeno