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Bayesian optimization is a widely used method for optimizing expensive black-box functions, with Expected Improvement being one of the most commonly used acquisition functions. In contrast, information-theoretic acquisition functions aim to…

机器学习 · 统计学 2026-05-15 Nuojin Cheng , Leonard Papenmeier , Stephen Becker , Luigi Nardi

We propose a novel information-theoretic approach for Bayesian optimization called Predictive Entropy Search (PES). At each iteration, PES selects the next evaluation point that maximizes the expected information gained with respect to the…

机器学习 · 统计学 2014-06-11 José Miguel Hernández-Lobato , Matthew W. Hoffman , Zoubin Ghahramani

Entropy Search (ES) and Predictive Entropy Search (PES) are popular and empirically successful Bayesian Optimization techniques. Both rely on a compelling information-theoretic motivation, and maximize the information gained about the…

机器学习 · 统计学 2018-08-06 Zi Wang , Stefanie Jegelka

Information-theoretic Bayesian optimization techniques have become popular for optimizing expensive-to-evaluate black-box functions due to their non-myopic qualities. Entropy Search and Predictive Entropy Search both consider the entropy…

机器学习 · 计算机科学 2023-01-18 Carl Hvarfner , Frank Hutter , Luigi Nardi

Bayesian optimization (BO) is a model-based approach to sequentially optimize expensive black-box functions, such as the validation error of a deep neural network with respect to its hyperparameters. In many real-world scenarios, the…

Information-based Bayesian optimization (BO) algorithms have achieved state-of-the-art performance in optimizing a black-box objective function. However, they usually require several approximations or simplifying assumptions (without…

机器学习 · 计算机科学 2021-08-02 Quoc Phong Nguyen , Zhaoxuan Wu , Bryan Kian Hsiang Low , Patrick Jaillet

Many real-world problems can be phrased as a multi-objective optimization problem, where the goal is to identify the best set of compromises between the competing objectives. Multi-objective Bayesian optimization (BO) is a sample efficient…

机器学习 · 计算机科学 2022-10-07 Ben Tu , Axel Gandy , Nikolas Kantas , Behrang Shafei

Although the existing max-value entropy search (MES) is based on the widely celebrated notion of mutual information, its empirical performance can suffer due to two misconceptions whose implications on the exploration-exploitation trade-off…

机器学习 · 计算机科学 2022-03-01 Quoc Phong Nguyen , Bryan Kian Hsiang Low , Patrick Jaillet

Bayesian optimization is a sample-efficient method for black-box global optimization. How- ever, the performance of a Bayesian optimization method very much depends on its exploration strategy, i.e. the choice of acquisition function, and…

The expected improvement (EI) algorithm is a popular strategy for information collection in optimization under uncertainty. The algorithm is widely known to be too greedy, but nevertheless enjoys wide use due to its simplicity and ability…

机器学习 · 计算机科学 2017-05-30 Chao Qin , Diego Klabjan , Daniel Russo

Bayesian Optimization (BO) is a principled framework for optimizing expensive black-box functions, with Expected Improvement (EI) among its most widely used acquisition functions. Despite its empirical success, EI is agnostic to first-order…

机器学习 · 计算机科学 2026-05-19 Joshua Hang Sai Ip , Georgios Makrygiorgos , Ali Mesbah

The Expected Improvement (EI) method, proposed by Jones et al. (1998), is a widely-used Bayesian optimization method, which makes use of a fitted Gaussian process model for efficient black-box optimization. However, one key drawback of EI…

统计方法学 · 统计学 2023-04-21 Zhehui Chen , Simon Mak , C. F. Jeff Wu

Bayesian optimization (BO) is a popular method for efficiently inferring optima of an expensive black-box function via a sequence of queries. Existing information-theoretic BO procedures aim to make queries that most reduce the uncertainty…

机器学习 · 统计学 2022-10-05 Willie Neiswanger , Lantao Yu , Shengjia Zhao , Chenlin Meng , Stefano Ermon

Unknown constraints arise in many types of expensive black-box optimization problems. Several methods have been proposed recently for performing Bayesian optimization with constraints, based on the expected improvement (EI) heuristic.…

We study the multi-agent Bayesian optimization (BO) problem, where multiple agents maximize a black-box function via iterative queries. We focus on Entropy Search (ES), a sample-efficient BO algorithm that selects queries to maximize the…

机器学习 · 计算机科学 2023-03-13 Haitong Ma , Tianpeng Zhang , Yixuan Wu , Flavio P. Calmon , Na Li

Bayesian optimization is a powerful tool for optimizing an expensive-to-evaluate black-box function. In particular, the effectiveness of expected improvement (EI) has been demonstrated in a wide range of applications. However, theoretical…

机器学习 · 统计学 2025-10-01 Shion Takeno , Yu Inatsu , Masayuki Karasuyama , Ichiro Takeuchi

Bayesian optimization (BO) methods based on information theory have obtained state-of-the-art results in several tasks. These techniques heavily rely on the Kullback-Leibler (KL) divergence to compute the acquisition function. In this work,…

We consider the problem of robust optimization within the well-established Bayesian optimization (BO) framework. While BO is intrinsically robust to noisy evaluations of the objective function, standard approaches do not consider the case…

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

Bayesian optimization is a technique for optimizing black-box target functions. At the core of Bayesian optimization is a surrogate model that predicts the output of the target function at previously unseen inputs to facilitate the…

机器学习 · 计算机科学 2022-03-04 Felix Jimenez , Matthias Katzfuss
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