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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

Bayesian optimization (BO) conventionally relies on handcrafted acquisition functions (AFs) to sequentially determine the sample points. However, it has been widely observed in practice that the best-performing AF in terms of regret can…

机器学习 · 计算机科学 2021-06-09 Bing-Jing Hsieh , Ping-Chun Hsieh , Xi Liu

Recently, multi-fidelity Bayesian optimization (MFBO) has been successfully applied to many engineering design optimization problems, where the cost of high-fidelity simulations and experiments can be prohibitive. However, challenges remain…

Bayesian optimization (BO) has been widely used to optimize expensive and gradient-free objective functions across various domains. However, existing BO methods have not addressed the objective where both inputs and outputs are functions,…

机器学习 · 统计学 2025-12-11 Jingru Huang , Haijie Xu , Manrui Jiang , Chen Zhang

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 is a powerful technique for optimizing expensive-to-evaluate black-box functions, consisting of two main components: a surrogate model and an acquisition function. In recent years, myopic acquisition functions have…

机器学习 · 计算机科学 2025-04-30 Hui Chen , Xuhui Fan , Zhangkai Wu , Longbing Cao

Bayesian Optimization critically depends on the choice of acquisition function, but no single strategy is universally optimal; the best choice is non-stationary and problem-dependent. Existing adaptive portfolio methods often base their…

机器学习 · 计算机科学 2026-02-10 Giang Ngo , Dat Phan Trong , Dang Nguyen , Sunil Gupta , Svetha Venkatesh

Transferring knowledge across tasks to improve data-efficiency is one of the open key challenges in the field of global black-box optimization. Readily available algorithms are typically designed to be universal optimizers and, therefore,…

Bayesian optimization (BO) is a popular algorithm for solving challenging optimization tasks. It is designed for problems where the objective function is expensive to evaluate, perhaps not available in exact form, without gradient…

机器学习 · 统计学 2018-08-22 Umberto Noè , Dirk Husmeier

Bayesian optimization (BO) is a prominent approach to optimizing expensive-to-evaluate black-box functions. The massive computational capability of edge devices such as mobile phones, coupled with privacy concerns, has led to a surging…

机器学习 · 计算机科学 2020-10-23 Zhongxiang Dai , Kian Hsiang Low , Patrick Jaillet

The adoption of high-fidelity models for many-query optimization problems is majorly limited by the significant computational cost required for their evaluation at every query. Multifidelity Bayesian methods (MFBO) allow to include costly…

机器学习 · 计算机科学 2024-07-08 Francesco Di Fiore , Laura Mainini

First Order Bayesian Optimization (FOBO) is a sample efficient sequential approach to find the global maxima of an expensive-to-evaluate black-box objective function by suitably querying for the function and its gradient evaluations. Such…

机器学习 · 计算机科学 2023-06-21 Utkarsh Prakash , Aryan Chollera , Kushagra Khatwani , Prabuchandran K. J. , Tejas Bodas

Bayesian optimization (BO) is a popular framework to optimize black-box functions. In many applications, the objective function can be evaluated at multiple fidelities to enable a trade-off between the cost and accuracy. To reduce the…

机器学习 · 计算机科学 2020-12-11 Shibo Li , Wei Xing , Mike Kirby , Shandian Zhe

Bayesian optimization is widely used for optimizing expensive black box functions, but most existing approaches focus on scalar responses. In many scientific and engineering settings the response is functional, varying smoothly over an…

机器学习 · 计算机科学 2026-04-28 Pouya Ahadi , Reza Marzban , Ali Adibi , Kamran Paynabar

Bayesian optimization is a sample-efficient approach to global optimization that relies on theoretically motivated value heuristics (acquisition functions) to guide its search process. Fully maximizing acquisition functions produces the…

机器学习 · 统计学 2018-12-04 James T. Wilson , Frank Hutter , Marc Peter Deisenroth

The acquisition function, a critical component in Bayesian optimization (BO), can often be written as the expectation of a utility function under a surrogate model. However, to ensure that acquisition functions are tractable to optimize,…

机器学习 · 计算机科学 2022-10-10 Jiaming Song , Lantao Yu , Willie Neiswanger , Stefano Ermon

Wind farm layout optimization (WFLO), which seeks to maximizing annual energy production by strategically adjusting wind turbines' location, is essential for the development of large-scale wind farms. While low-fidelity methods dominate…

最优化与控制 · 数学 2025-02-18 Zhen-fan Wang , Yu Tu , Kai Zhang , Dai Zhou , Onur Bilgen

Bayesian optimization (BO) is a sequential optimization strategy that is increasingly employed in a wide range of areas including materials design. In real world applications, acquiring high-fidelity (HF) data through physical experiments…

机器学习 · 计算机科学 2023-09-07 Zahra Zanjani Foumani , Amin Yousefpour , Mehdi Shishehbor , Ramin Bostanabad

Bayesian Optimization is an effective method for searching the global maxima of an objective function especially if the function is unknown. The process comprises of using a surrogate function and choosing an acquisition function followed…

机器学习 · 计算机科学 2021-11-10 Ashish Anil Pawar , Ujwal Warbhe

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…

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