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We propose a novel, theoretically-grounded, acquisition function for Batch Bayesian optimization informed by insights from distributionally ambiguous optimization. Our acquisition function is a lower bound on the well-known Expected…

机器学习 · 统计学 2018-04-17 Nikitas Rontsis , Michael A. Osborne , Paul J. Goulart

In this paper we propose DKIBO, a Bayesian optimization (BO) algorithm that accommodates domain knowledge to tune exploration in the search space. Bayesian optimization has recently emerged as a sample-efficient optimizer for many…

人工智能 · 计算机科学 2023-11-28 Zikai Xie , Xenophon Evangelopoulos , Joseph Thacker , Andrew Cooper

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

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

Bayesian optimization (BO) is increasingly employed in critical applications to find the optimal design with minimal cost. While BO is known for its sample efficiency, relying solely on costly high-fidelity data can still result in high…

人工智能 · 计算机科学 2025-03-25 Zahra Zanjani Foumani , Ramin Bostanabad

Bayesian optimization is a methodology for global optimization of unknown and expensive objectives. It combines a surrogate Bayesian regression model with an acquisition function to decide where to evaluate the objective. Typical regression…

机器学习 · 计算机科学 2023-04-04 Afonso Eduardo , Michael U. Gutmann

Both computational and experimental material discovery bring forth the challenge of exploring multidimensional and often non-differentiable parameter spaces, such as phase diagrams of Hamiltonians with multiple interactions, composition…

机器学习 · 计算机科学 2024-02-22 Arpan Biswas , Sai Mani Prudhvi Valleti , Rama Vasudevan , Maxim Ziatdinov , Sergei V. Kalinin

In a Bayesian setting, inverse problems and uncertainty quantification (UQ) --- the propagation of uncertainty through a computational (forward) model --- are strongly connected. In the form of conditional expectation the Bayesian update…

In many applications, ranging from logistics to engineering, a designer is faced with a sequence of optimization tasks for which the objectives are in the form of black-box functions that are costly to evaluate. Furthermore, higher-fidelity…

机器学习 · 计算机科学 2025-01-09 Yunchuan Zhang , Sangwoo Park , Osvaldo Simeone

In many high-throughput experimental design settings, such as those common in biochemical engineering, batched queries are more cost effective than one-by-one sequential queries. Furthermore, it is often not possible to directly choose…

机器学习 · 计算机科学 2019-04-18 Kevin K. Yang , Yuxin Chen , Alycia Lee , Yisong Yue

In discrete-variable black-box optimization, the number of candidate solutions grows combinatorially, while each evaluation is often expensive. Therefore, it is important to identify promising solutions efficiently within a limited number…

量子物理 · 物理学 2026-05-12 Reo Shikanai , Masayuki Ohzeki

Multi-objective Bayesian optimization has been widely adopted in scientific experiment design, including drug discovery and hyperparameter optimization. In practice, regulatory or safety concerns often impose additional thresholds on…

机器学习 · 计算机科学 2025-04-22 Diantong Li , Fengxue Zhang , Chong Liu , Yuxin Chen

Bayesian Optimisation (BO) methods seek to find global optima of objective functions which are only available as a black-box or are expensive to evaluate. Such methods construct a surrogate model for the objective function, quantifying the…

机器学习 · 统计学 2023-01-10 Enrico Crovini , Simon L. Cotter , Konstantinos Zygalakis , Andrew B. Duncan

Bayesian optimization (BO) is an integral part of automated scientific discovery -- the so-called self-driving lab -- where human inputs are ideally minimal or at least non-blocking. However, scientists often have strong intuition, and thus…

In applications such as molecule design or drug discovery, it is desirable to have an algorithm which recommends new candidate molecules based on the results of past tests. These molecules first need to be synthesized and then tested for…

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

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,…

Several scenarios require the optimization of non-convex black-box functions, that are noisy expensive to evaluate functions with unknown analytical expression, whose gradients are hence not accessible. For example, the hyper-parameter…

机器学习 · 计算机科学 2025-02-12 Eduardo C. Garrido-Merchán

Bayesian optimization (BO) is an efficient framework for optimization of black-box objectives when function evaluations are costly and gradient information is not easily accessible. BO has been successfully applied to automate the task of…

机器学习 · 计算机科学 2024-07-09 Pallavi Mitra , Felix Biessmann

Bayesian optimization (BO) with preference-based feedback has recently garnered significant attention due to its emerging applications. We refer to this problem as Bayesian Optimization from Human Feedback (BOHF), which differs from…

机器学习 · 计算机科学 2025-05-30 Aya Kayal , Sattar Vakili , Laura Toni , Da-shan Shiu , Alberto Bernacchia